The =
Meaning and=20
Measurement of Risk and Return
Alison Parks/Whitfield Photography
Learning Objectives
After reading this chapter, you should be able to: =
Define and measure the expected rate of return of an =
individual=20
investment.=20
Define and measure the riskiness of an individual =
investment.=20
Compare the historical relationship between risk and rates =
of=20
return in the capital markets.=20
Explain how diversifying investments affects the riskiness =
and=20
expected rate of return of a portfolio or combination of =
assets.=20
Explain the relationship between an investor=E2=80=99s =
required rate of=20
return on an investment and the riskiness of the investment.=20
One=20
of the most important concepts in all of finance deals with risk =
and=20
return, and our first principle addresses this topic. As an =
illustration=20
of risk and return, consider what has happened with Internet =
stocks in=20
recent years.
Company =
names such=20
as Amazon, eBay, Google, and Yahoo! are familiar to us all. Hardly =
a week=20
goes by, if not a day, that we do not access the Web sites of =
these=20
firms=E2=80=94and many other Internet companies. But far fewer of =
us have ever=20
directly invested in Internet companies.
Following =
a 17.5=20
percent decline in Internet stock prices during the first half of =
2006,=20
Jonathan Post, an analyst for Merrill Lynch, recommended that =
investors=20
should consider purchasing Internet stocks. In an investor report =
in early=20
summer 2006, Post wrote:
[T]he recent sell-off in Internet stocks has created a buying =
opportunity given the stocks=E2=80=99 valuations and long-term =
growth=20
opportunities. . . . While the Internet sector could drift =
sideways into=20
the summer. . ., we expect improved sentiment on operating =
margins and=20
believe the group is well positioned for a positive move in the =
second=20
half [of the year].1
Would you =
have=20
followed Post=E2=80=99s recommendation to invest? After all, how =
could you go=20
wrong with Google, Amazon, Yahoo!, and eBay? Before deciding, you =
should=20
have taken the time to learn a little history about investing in =
Internet=20
stocks.
If=20
you had invested as early as February 1, 2001, 2 months later your =
investment would have been worth only half of what it was =
originally. But=20
April 2001 would have been good to you; your investment would have =
gained=20
32 percent in value. However, 5 months later, at the end of =
September, you=20
would have seen the value of your stocks decline by 58 percent. =
Then in=20
2003, your investment would have increased 82 percent in value, =
followed=20
by 24 percent in 2004. Finally, in 2005 your portfolio of Internet =
stocks=20
would have increased a meager 9 percent, followed by an 18 percent =
decrease in the first 6 months of 2006.
Clearly, =
owning=20
Internet stocks has not been for the faint of heart. These stocks =
have=20
produced high rates of return for a few investors depending on =
when they=20
invested, but punished many others. To say the least, these =
investments=20
have offered investors the potential of high returns, but only for =
those=20
who were willing to assume great amounts of risk. As the owner of =
Internet=20
stocks, you may eat well if they continue to increase in the =
future, but=20
you certainly won=E2=80=99t sleep very well some nights. Welcome =
to the world of=20
high risk.
The=20
need to recognize risk in financial decisions has already been =
apparent in=20
earlier chapters. In Chapter=20
2 , we referred to the discount rate, or the interest rate, as =
the=20
opportunity cost of funds, but we did not look at the reasons why =
that=20
rate might be high or low. For example, we did not explain why in =
July=20
2006 you could buy bonds issued by SBC Communications that =
promised to pay=20
a 6.1 percent rate of return, or why you could buy Ford Motor =
Company=20
Corporation bonds that would give you a 10.1 percent rate of =
return,=20
provided that both firms make the payments to the investors as=20
promised.
In=20
this chapter, we learn that risk is an integral force underlying =
rates of=20
return. To begin our study, we define expected return and risk and =
offer=20
suggestions about how these important concepts of return and risk =
can be=20
measured quantitatively. We also compare the historical =
relationship=20
between risk and rates of return. We then explain how diversifying =
investments can affect the expected return and riskiness of those=20
investments. We also consider how the riskiness of an investment =
should=20
affect the required rate of return on an investment.
Let=E2=80=99s =
begin our=20
study by looking at what we mean by the expected rate of return =
and how it=20
can be measured.
Expected =
Return=20
Defined and Measured
Objective 1
Define and measure the expected rate of return of an =
individual=20
investment.
The=20
expected benefits, or returns, an investment generates come in the =
form of=20
cash flows. Cash flow, not accounting profit, is the relevant =
variable the=20
financial manager uses to measure returns. This principle holds =
true=20
regardless of the type of security, whether it is a debt =
instrument,=20
preferred stock, common stock, or any mixture of these (such as=20
convertible bonds).
Accurately =
measuring=20
expected future cash flows is not easy in a world of uncertainty. =
To=20
illustrate, assume you are considering an investment costing =
$10,000, for=20
which the future cash flows from owning the security depend on the =
state=20
of the economy, as estimated in Table 6-1 .
Table 6-1 Measuring the Expected Return of =
an=20
Investment
State of the Economy
Probability of the Statesa
Cash Flows from the Investment
Percentage Returns (Cash Flow =
=C3=B7=20
Investment Cost)
Economic recession
20%
$1,000
10%=20
($1,000 =C3=B7 $10,000)
Moderate economic =
growth
30%
1,200
12%=20
($1,200 =C3=B7 $10,000)
Strong economic growth
50%
1,400
14%=20
($1,400 =C3=B7 $10,000)
In=20
any given year, the investment could produce any one of three =
possible=20
cash flows, depending on the particular state of the economy. With =
this=20
information, how should we select the cash flow estimate that =
means the=20
most for measuring the investment=E2=80=99s expected rate of =
return? One approach=20
is to calculate an expected cash flow. The expected cash =
flow is=20
simply the weighted average of the possible cash flow =
outcomes such=20
that the weights are the probabilities of the various states of =
the=20
economy occurring. Let Xi designate the =
i th=20
possible cash flow, n reflect the number of possible states =
of the=20
economy, and Pi indicate the probability that =
the=20
i th cash flow, or state of economy, will occur. The =
expected cash=20
flow, , may then be calculated as follows:
(6-1)
Equation 6-1
For=20
the present illustration:
=3D (.2)($1,000) + (.3)($1,200) + (.5)($1,400) =3D =
$1,260
In=20
addition to computing an expected dollar return from an =
investment, we can=20
also calculate an expected rate of=20
return earned on the $10,000 investment. Similar to the =
expected cash flow, the expected rate of return is a weighted =
average=20
of all the possible returns, weighted by the probability that each =
return=20
will occur . As the last column in Table 6-1 shows, =
the=20
$1,400 cash inflow, assuming strong economic growth, represents a =
14=20
percent return ($1,400 =C3=B7 $10,000). Similarly, the $1,200 and =
$1,000 cash=20
flows result in 12 percent and 10 percent returns, respectively. =
Using=20
these percentage returns in place of the dollar amounts, the =
expected rate=20
of return, can be expressed as follows:
(6-2)
Equation 6-2
In=20
our example:
=3D (.2)(10%) + (.3)(12%) + (.5)(14%) =3D 12.6%
With=20
our concept and measurement of expected returns, let=E2=80=99s =
consider the other=20
side of the investment coin: risk.
Did You =
Get It?
1.
When we speak of =E2=80=9Cbenefits=E2=80=9D from =
investing in an asset, what do=20
we mean?
2.
Why is it difficult to measure future cash=20
flows?
3.
Define expected rate of=20
return.
Risk =
Defined and=20
Measured
Because we =
live in a=20
world where events are uncertain, the way we see risk is vitally =
important=20
in almost all dimensions of our life. The Greek poet and statesman =
Solon,=20
writing in the sixth century B.C., put it this way:
There is risk in everything that one does, and no one knows =
where he=20
will make his landfall when his enterprise is at its beginning. =
One man,=20
trying to act effectively, fails to foresee something and falls =
into=20
great and grim ruination, but to another man, one who is acting=20
ineffectively, a god gives good fortune in everything and escape =
from=20
his folly.2
Objective 2
Define and measure the riskiness of an individual=20
investment.
Solon =
would have=20
given more of the credit to Zeus than we would for the outcomes of =
our=20
ventures. However, his insight reminds us that little is new in =
this=20
world, including the need to acknowledge and compensate as best we =
can for=20
the risks we encounter. In fact, the significance of risk and the =
need for=20
understanding what it means in our lives is noted by Peter =
Bernstein in=20
the following excerpt:
What is it that distinguishes the thousands of years of =
history from=20
what we think of as modern times? The answer goes way beyond the =
progress of science, technology, capitalism, and democracy.
The distant past was studded with brilliant scientists,=20
mathematicians, inventors, technologists, and political =
philosophers.=20
Hundreds of years before the birth of Christ, the skies had been =
mapped,=20
the great library of Alexandria built, and Euclid=E2=80=99s =
geometry taught.=20
Demand for technological innovation in warfare was as insatiable =
then as=20
it is today. Coal, oil, iron, and copper have been at the =
service of=20
human beings for millennia, and travel and communication mark =
the very=20
beginnings of recorded civilization.
The revolutionary idea that defines the boundary between =
modern times=20
and the past is the mastery of risk: the notion that the future =
is more=20
than a whim of the gods and that men and women are not passive =
before=20
nature. Until human beings discovered a way across that =
boundary, the=20
future was a mirror of the past or the murky domain of oracles =
and=20
soothsayers who held a monopoly over knowledge of anticipated=20
events.3
In=20
our study of risk, we want to consider these questions:
2.
How do we know the amount of risk associated with a =
given=20
investment; that is, how do we measure=20
risk?
3.
If we choose to diversify our investments by owning =
more than=20
one asset, as most of us do, will such diversification =
reduce the=20
riskiness of our combined portfolio of=20
investments?
Without =
intending to=20
be trite, risk means different things to different people, =
depending on=20
the context and on how they feel about taking chances. For the =
student,=20
risk is the possibility of failing an exam or the chance of not =
making his=20
or her best grades. For the coal miner or the oil field worker, =
risk is=20
the chance of an explosion in the mine or at the well site. For =
the=20
retired person, risk means perhaps not being able to live =
comfortably on a=20
fixed income. For the entrepreneur, risk is the chance that a new =
venture=20
will fail.
While =
certainly=20
acknowledging these different kinds of risk, we limit our =
attention to the=20
risk inherent in an investment. In this context, risk is =
the=20
potential variability in future cash flows . The wider the =
range of=20
possible events that can occur, the greater the risk. If we think =
about=20
it, this is a relatively intuitive concept.
To=20
help us grasp the fundamental meaning of risk within this context, =
consider two possible investments:
The first investment is a U.S. Treasury bill, a government =
security=20
that matures in 90 days and promises to pay an annual return of =
6=20
percent. If we purchase and hold this security for 90 days, we =
are=20
virtually assured of receiving no more and no less than 6 =
percent on an=20
annualized basis. For all practical purposes, the risk of loss =
is=20
nonexistent.=20
The second investment involves the purchase of the stock of =
a local=20
publishing company. Looking at the past returns of the =
firm=E2=80=99s stock, we=20
have made the following estimate of the annual returns from the=20
investment:
Chance of Occurrence
Rate of Return on =
Investment
1 chance in 10 (10% =
chance)
0%
2 chances in 10 (20% =
chance)
5%
4 chances in 10 (40% =
chance)
15%
2 chances in 10 (20% =
chance)
25%
1 chance in 10 (10% =
chance)
30%
Investing =
in the=20
publishing company could conceivably provide a return as high as =
30=20
percent if all goes well, or no return (0 percent) if everything =
goes=20
against the firm. However, in future years, both good and bad, we =
could=20
expect a 15 percent return on average.4
=3D (.10)(0%) + (.20)(5%) + (.40)(15%) + (.20)(25%) + =
(.10)(30%) =3D=20
15%
Comparing =
the=20
Treasury bill investment with the publishing company investment, =
we see=20
that the Treasury bill offers an expected 6 percent annualized =
rate of=20
return, whereas the publishing company has an expected rate of =
return of=20
15 percent. However, our investment in the publishing firm is =
clearly more=20
=E2=80=9Crisky=E2=80=9D=E2=80=94that is, there is greater =
uncertainty about the final outcome.=20
Stated somewhat differently, there is a greater variation or =
dispersion of=20
possible returns, which in turn implies greater risk.5 Figure 6=E2=80=931 =
shows these=20
differences graphically in the form of discrete probability=20
distributions.
Although =
the return=20
from investing in the publishing firm is clearly less certain than =
for=20
Treasury bills, quantitative measures of risk are useful when the=20
difference between two investments is not so evident. The standard =
deviation is such a measure. The standard=20
deviation is simply the square root of the weighted =
average=20
squared deviation of each possible return from the expected =
return ;=20
that is,
(6-3)
Equation 6-3
where n
=3D the number of possible =
outcomes or=20
different rates of return on the investment
ki =
=20
=3D the value of the i th=20
possible rate of return
Pi =
=20
=3D the chance or probability =
that the i th return=20
will occur
=3D the expected value of the =
rates of=20
return
For=20
the publishing company, the standard deviation would be 9.22 =
percent,=20
determined as follows:
Although =
the=20
standard deviation of returns provides us with a quantitative =
measure of=20
an asset=E2=80=99s riskiness, how should we interpret the result? =
What does it=20
mean? Is the 9.22 percent standard deviation for the publishing =
company=20
investment good or bad? First, we should remember that =
statisticians tell=20
us that two-thirds of the time, an event will fall within one =
standard=20
deviation of the expected value (assuming the distribution is =
normally=20
distributed; that is, it is shaped like a bell). Thus, given a 15 =
percent=20
expected return and a standard deviation of 9.22 percent for the=20
publishing company investment, we can reasonably anticipate that =
the=20
actual returns will fall between 5.78 percent and 24.22 percent =
(15% =C2=B1=20
9.22%) two-thirds of the time. In other words, there is not much =
certainty=20
with this investment.
A=20
second way of answering the question about the meaning of the =
standard=20
deviation comes by comparing the investment in the publishing firm =
against=20
other investments. Obviously the attractiveness of a security with =
respect=20
to its return and risk cannot be determined in isolation. Only by=20
examining other available alternatives can we reach a conclusion =
about a=20
particular investment=E2=80=99s risk. For example, if another =
investment, say, an=20
investment in a firm that owns a local radio station, has the same =
expected return as the publishing company, 15 percent, but with a =
standard=20
deviation of 7 percent, we would consider the risk associated with =
the=20
publishing firm, 9.22 percent, to be excessive. In the technical =
jargon of=20
modern portfolio theory, the radio station investment is said to=20
=E2=80=9Cdominate=E2=80=9D the publishing firm investment. In =
common sense terms, this=20
means that the radio station investment has the same expected =
return as=20
the publishing company investment, but is less risky.
What=20
if we compare the investment in the publishing company with one in =
a quick=20
oil-change franchise, an investment in which the expected rate of =
return=20
is an attractive 24 percent but the standard deviation is =
estimated at 13=20
percent? Now what should we do? Clearly, the oil-change franchise =
has a=20
higher expected rate of return, but it also has a larger standard=20
deviation. In this example, we see that the real challenge in =
selecting=20
the better investment comes when one investment has a higher =
expected rate=20
of return but also exhibits greater risk. Here the final choice =
is=20
determined by our attitude toward risk, and there is no single =
right=20
answer . You might select the publishing company, whereas I =
might=20
choose the oil-change investment, and neither of us would be =
wrong. We=20
would simply be expressing our tastes and preferences about risk =
and=20
return.
Did You =
Get It?
2.
How does the standard deviation help us measure the =
riskiness=20
of an investment?
3.
Does greater risk imply a bad=20
investment?
Rates of =
Return: The=20
Investor=E2=80=99s Experience
Objective 3
Compare the historical relationship between risk and rates of =
return=20
in the capital markets.
So=20
far, we have mostly used hypothetical examples of expected rates =
of return=20
and risk; however, it is also interesting to look at returns that=20
investors have actually received on different types of securities. =
For=20
example, we could compare the long-term historical annual rates of =
return=20
for the following types of investments:
Common stocks of large companies=20
Common stocks of small firms=20
Long-term corporate bonds=20
Long-term U.S. government bonds=20
Intermediate-term U.S. government bonds=20
U.S. Treasury bills (short-term government securities) =
Before =
comparing=20
these returns, we should think about what to expect. First, we =
would=20
intuitively expect a Treasury bill (short-term government =
securities) to=20
be the least risky of the six portfolios. Because a Treasury bill =
has a=20
short-term maturity date, the price is less volatile (less risky) =
than the=20
price of an intermediate- or long-term government security. In =
turn,=20
because there is a chance of default on a corporate bond, which is =
essentially nonexistent for government securities, a long-term =
government=20
bond is less risky than a long-term corporate bond. Finally, the =
common=20
stocks of large companies are more risky than corporate bonds, =
with=20
small-company stocks being more risky than large-firm stocks.
With=20
this in mind, we could reasonably expect different rates of return =
to the=20
holders of these varied securities. If the market rewards an =
investor for=20
assuming risk, the average annual rates of return should increase =
as risk=20
increases.
A=20
comparison of the annual rates of return for the six respective =
portfolios=20
for the years 1926 to 2005 is provided in Figure 6-2 . Four =
aspects of=20
these returns are included: (1) the nominal average annual rate of =
return;=20
(2) the standard deviation of the returns, which measures the =
volatility,=20
or riskiness, of the returns; (3) the real average annual rate of =
return,=20
which is the nominal return less the inflation rate; and (4) the =
risk=20
premium, which represents the additional return received beyond =
the=20
risk-free rate (Treasury bill rate) for assuming risk. Looking at =
the=20
first two columns of nominal average annual returns and standard=20
deviations, we get a good overview of the risk=E2=80=93return =
relationships that=20
have existed over the 80 years ending in 2005. In every case, =
there has=20
been a positive relationship between risk and return, with =
Treasury bills=20
being least risky and small-company stocks being most risky.
The=20
return information in Figure=20
6-2 clearly demonstrates that only common stock has in the =
long run=20
served as an inflation hedge and provided any substantial risk =
premium.=20
However, it is equally apparent that the common stockholder is =
exposed to=20
a sizable amount of risk, as is demonstrated by the 20 percent =
standard=20
deviation for large-company stocks and the 33 percent standard =
deviation=20
for small-company stocks. In fact, in the 1926 to 2005 time frame, =
common=20
shareholders of large firms received negative returns in 22 of the =
80=20
years, compared with only 1 (1938) in 80 years for Treasury =
bills.
Source: =
Matthew=20
Schifrin, =E2=80=9CMidcaps Win the Marathon,=E2=80=9D =
Forbes.com , June 14, 2006,=20
www.forbes.com/etf/2006/06/14/mdy-etf-sandisk-in_ms_0614g=
urusow_inl.html ,=20
accessed August 16, 2006. Reprinted by permission of Forbes =
Magazine =C2=A9=20
2007 Forbes Media LLC.
Did You =
Get It?
1.
What is the additional compensation for assuming =
greater risk=20
called?
2.
In Figure 6-2 ,=20
which rate of return is the risk-free rate?=20
Why?
Risk And=20
Diversification
Objective 4
Explain how diversifying investments affects the riskiness =
and=20
expected rate of return of a portfolio or combination of=20
assets.
More=20
can be said about risk, especially about its nature, when we own =
more than=20
one asset in our investment portfolio. Let=E2=80=99s consider for =
the moment how=20
risk is affected if we diversify our investment by holding a =
variety of=20
securities.
Let=E2=80=99s =
assume that=20
you graduated from college in May 2006. Not only did you get the =
good job=20
you had hoped for, but you also finished the year with a little =
nest=20
egg=E2=80=94not enough to take that summer fling to Europe like =
some of your=20
college friends but a nice surplus. Besides, you suspected that =
they used=20
credit cards to go anyway. So, you made two stock investments with =
your=20
nest egg=E2=80=94one in Harley Davidson and one in Starbucks. (As =
the owner of a=20
Harley Softail motorcycle, you=E2=80=99ve had a passion for riding =
since your=20
college days. And you give Starbucks credit for helping you get =
through=20
many long study sessions.) You then focused on your career and =
seldom=20
thought about your investments. Your first extended break from =
work came=20
on Labor Day weekend. After a lazy Saturday morning, you decided =
to get on=20
the Internet to see how your investments did over the previous =
several=20
months. You bought Harley for $48, and the stock was now trading =
at almost=20
$60. =E2=80=9CNot bad,=E2=80=9D you thought. But then the bad =
news=E2=80=94Starbucks was selling=20
for $32, compared to the $40 that you paid for the stock. After a =
little=20
checking, you found out that Starbucks had announced that sales =
for the=20
month of July had not met expectations.
Clearly, =
what we=20
have described about Harley Davidson and Starbucks were events =
unique to=20
these two companies, and as we would expect, investors reacted=20
accordingly; that is, the value of the stock changed in light of =
the new=20
information. Although we might have wished we had owned only =
Harley=20
Davidson stock at the time, most of us would prefer to avoid such=20
uncertainties; that is, we are risk averse. Instead, we would like =
to=20
reduce the risk associated with our investment portfolio, without =
having=20
to accept a lower expected return. Good news: It is possible by=20
diversifying your portfolio!
Diversifying =
Away=20
the Risk
If we=20
diversify our investments across different securities rather than =
invest=20
in only one stock, the variability in the returns of our portfolio =
should=20
decline. The reduction in risk will occur if the stock returns =
within our=20
portfolio do not move precisely together over time=E2=80=94that =
is, if they are=20
not perfectly correlated. Figure 6-3 shows =
graphically=20
what we could expect to happen to the variability of returns as we =
add=20
additional stocks to the portfolio. The reduction occurs because =
some of=20
the volatility in returns of a stock are unique to that security. =
The=20
unique variability of a single stock tends to be countered by the=20
uniqueness of another security. However, we should not expect to =
eliminate=20
all risk from our portfolio. In practice, it would be rather =
difficult to=20
cancel all the variations in returns of a portfolio, because stock =
prices=20
have some tendency to move together. Thus, we can divide the total =
risk=20
(total variability) of our portfolio into two types of risk: (1) =
company-unique=20
risk , or unsystematic =
risk ,=20
and (2) market =
risk , or=20
systematic =
risk .=20
Company-unique risk might also be called diversifiable=20
risk , in that it can be diversified away . Market =
risk is=20
nondiversifiable=20
risk ; it cannot be eliminated through random=20
diversification . These two types of risk are shown graphically =
in Figure 6-3 . Total =
risk=20
declines until we have approximately 20 securities, and then the =
decline=20
becomes very slight.
The=20
remaining risk, which would typically be about 40 percent of the =
total=20
risk, is the portfolio=E2=80=99s systematic, or market, risk. At =
this point, our=20
portfolio is highly correlated with all securities in the =
marketplace.=20
Events that affect our portfolio now are not so much unique events =
as=20
changes in the general economy, major political events, and =
sociological=20
changes. Examples include changes in interest rates in the =
economy,=20
changes in tax legislation that affect all companies, or =
increasing public=20
concern about the effect of business practices on the environment. =
Our=20
measure of risk should, therefore, measure how responsive a stock =
or=20
portfolio is to changes in a market portfolio, such as the New =
York Stock=20
Exchange or the S&P 500 Index.6
Measuring =
Market=20
Risk
To=20
help clarify the idea of systematic risk, let=E2=80=99s examine =
the relationship=20
between the common stock returns of Barnes & Noble Inc. and =
the=20
returns of the S&P 500 Index.
The=20
monthly returns for Barnes & Noble Inc. and the S&P 500 =
Index for=20
the 24 months ending March 2006 are presented in Table 6-2 and Figure 6-4 . These =
monthly=20
returns , or holding-period=20
returns , as they are often called, are calculated as=20
follows.7
(6-4)
Equation 6-4
where: kt =
=3D the holding-period return in =
month t for a=20
particular firm, such as Barnes & Noble, or for a =
portfolio such=20
as the S&P 500 Index
Pt =
=20
=3D a firm=E2=80=99s stock =
price, such as Barnes=20
& Noble (or the S&P 500 Index), at the end of month =
t
Table 6-2 Monthly Holding-Period Returns, =
Barnes=20
& Noble Inc. versus the S&P 500 Index, April 2004 through =
March=20
2006
Barnes & Noble
S&P 500 Index
Month and Year
Price
Returns (%)
Price
Returns =
(%)
2004 =20
March
$32.60
$1,126.21
April
29.87
=E2=80=938.37%
1,107.30
=E2=80=931.68%
May
29.94
0.23%
1,120.68
1.21%
June
33.98
13.49%
1,140.84
1.80%
July
34.38
1.18%
1,101.72
=E2=80=933.43%
August
34.56
0.52%
1,104.24
0.23%
September
37.00
7.06%
1,114.58
0.94%
October
33.27
=E2=80=9310.08%
1,130.20
1.40%
November
27.08
=E2=80=9318.61%
1,173.82
3.86%
December
32.27
19.17%
1,211.92
3.25%
2005 =20
January
32.70
1.33%
1,181.27
=E2=80=932.53%
February
34.16
4.46%
1,203.60
1.89%
March
34.49
0.97%
1,180.59
=E2=80=931.91%
April
35.60
3.22%
1,156.85
=E2=80=932.01%
May
37.85
6.32%
1,191.50
3.00%
June
38.80
2.51%
1,191.33
=E2=80=930.01%
July
41.02
5.72%
1,234.18
3.60%
August
37.77
=E2=80=937.92%
1,220.33
=E2=80=931.12%
September
37.70
=E2=80=930.19%
1,228.81
0.69%
October
36.16
=E2=80=934.08%
1,207.01
=E2=80=931.77%
November
40.34
11.56%
1,249.48
3.52%
December
42.67
5.78%
1,248.29
=E2=80=930.10%
2006 =20
January
42.42
=E2=80=930.59%
1,280.08
2.55%
February
43.07
1.53%
1,280.66
0.05%
March
43.10
0.07%
1,291.24
0.83%
Average monthly return
1.47%
0.59%
Standard deviation
7.88%
2.12%
For=20
instance, the holding-period return for Barnes & Noble and the =
S&P=20
500 Index for March 2006 is computed as follows:
At=20
the bottom of Table=20
6-2 , we have also computed the averages of the returns for the =
24=20
months, for both Barnes & Noble and the S&P 500 Index, and =
the=20
standard deviation for these returns. Because we are using =
historical=20
return data, we assume each observation has an equal probability =
of=20
occurrence. Thus, the average return, , is found by summing the returns and dividing by the =
number of=20
months; that is,
(6-6)
Equation 6-6
and=20
the standard deviation =CF=83 is computed as
(6-7)
Equation 6-7
In=20
looking at Table =
6-2 =20
and Figure 6-4 , =
we notice=20
the following things about Barnes & Noble=E2=80=99s =
holding-period returns=20
over the 2 years ending in March 2006.
Barnes & Noble=E2=80=99s stockholders have had =
significantly higher=20
average monthly returns than the average stock in the S&P =
500 Index,=20
1.47 percent compared to .59 percent.=20
The bad news is Barnes & Noble=E2=80=99s greater =
volatility of=20
returns=E2=80=94in other words, greater risk=E2=80=94as =
evidenced by Barnes &=20
Noble=E2=80=99s higher standard deviation. As shown at the =
bottom of Table 6-2 , the =
standard=20
deviation of the returns is 7.88 percent for Barnes & Noble =
versus=20
2.12 percent for the S&P 500 Index. Barnes & =
Noble=E2=80=99s more=20
volatile returns are also evident in Figure 6-4 , =
where we see=20
Barnes & Noble=E2=80=99s returns frequently being higher and =
lower than the=20
corresponding S&P 500 returns.=20
We should also notice the tendency, although far from =
perfect, of=20
Barnes & Noble=E2=80=99s stock price to increase when the =
value of the=20
S&P 500 Index increases and vice versa. This was the case in =
14 of=20
the 24 months. That is, there is a moderate positive =
relationship=20
between Barnes & Noble=E2=80=99s stock returns and the =
S&P 500 Index=20
returns.
With=20
respect to our third observation, that there is a relationship =
between the=20
stock returns of Barnes & Noble and the S&P 500 Index, it =
is=20
helpful to see this relationship by graphing Barnes & =
Noble=E2=80=99s returns=20
against the S&P 500 Index returns. We provide such a graph in =
Figure 6-5 . In the =
figure,=20
we have plotted Barnes & Noble=E2=80=99s returns on the =
vertical axis and the=20
returns for the S&P 500 Index on the horizontal axis. Each of =
the 24=20
dots in the figure represents the returns of Barnes & Noble =
and the=20
S&P 500 Index for a particular month. For instance, the =
returns for=20
February 2005 for Barnes & Noble and the S&P 500 Index =
were 4.46=20
percent and 1.89 percent, respectively, which are noted in the =
figure.
In=20
addition to the dots in the graph, we have drawn a line of =
=E2=80=9Cbest fit,=E2=80=9D=20
which we call the characteristic=20
line . The slope of the characteristic line measures =
the=20
average relationship between a stock=E2=80=99s returns and those =
of the S&P=20
500 Index : or stated differently, the slope of the line =
indicates=20
the average movement in a stock=E2=80=99s price in response to a =
movement in the=20
S&P 500 Index price . For Barnes & Noble, the slope of =
the line=20
is 1.4, which simply equals the rise of the line relative to the =
run of=20
the line.8 A=20
slope of 1.4, as for Barnes & Noble, means that as the market =
return=20
(S&P 500 Index returns) increases or decreases 1 percentage =
point, the=20
return for Barnes & Noble on average increases or decreases =
1.4=20
percentage points.
We=20
can also think of the 1.4 slope of the characteristic line as =
indicating=20
that Barnes & Noble=E2=80=99s returns are 1.4 times as =
volatile on average as=20
those of the overall market (S&P 500 Index). This slope has =
come to be=20
called beta in =
investor=20
jargon, and it measures the average relationship between a =
stock=E2=80=99s=20
returns and the market=E2=80=99s returns . It is a term you =
will see almost any=20
time you read an article written by a financial analyst about the=20
riskiness of a stock.
Looking =
once again=20
at Figure 6-5 , =
we see=20
that the dots (returns) are scattered all about the characteristic =
line=E2=80=94most of the returns do not fit neatly on the =
characteristic line.=20
That is, the average relationship may be 1.4, but the variation in =
Barnes=20
& Noble=E2=80=99s returns is only partly explained by the =
stock=E2=80=99s average=20
relationship with the S&P 500 Index. There are other driving =
forces=20
unique to Barnes & Noble that also affect the firm=E2=80=99s =
stock returns.=20
(Earlier, we called this company-unique risk.) If we were, =
however, to=20
diversify our holdings and own, say, 20 stocks with betas of 1.4, =
we could=20
essentially eliminate the variation about the characteristic line. =
That=20
is, we would remove almost all the volatility in returns, except =
for that=20
caused by the general market, which is represented by the slope of =
the=20
line in Figure =
6-5 . If we=20
plotted the returns of our 20-stock portfolio against the S&P =
500=20
Index, the points in our new graph would fit nicely along a =
straight line=20
with a slope of 1.4, which means that the beta of the portfolio is =
also=20
1.4. The new graph would look something like the one shown in Figure 6-6 . In =
other words,=20
by diversifying our portfolio, we can essentially eliminate the =
variations=20
about the characteristic line, leaving only the variation in =
returns for a=20
company that comes from variations in the general market =
returns.
So=20
beta=E2=80=94the slope of the characteristic line=E2=80=94is a =
measure of a firm=E2=80=99s market=20
risk or systematic risk, which is the risk that remains for a =
company even=20
after we have diversified our portfolio. It is this =
risk=E2=80=94and only this=20
risk=E2=80=94that matters for investors who have broadly =
diversified=20
portfolios.
Although =
we have=20
said that beta is a measure of a stock=E2=80=99s systematic risk, =
how should we=20
interpret a specific beta? For instance, when is a beta considered =
low and=20
when is it considered high? In general, a stock with a beta of =
zero has no=20
systematic risk; a stock with a beta of 1 has systematic or market =
risk=20
equal to the =E2=80=9Ctypical=E2=80=9D stock in the marketplace; =
and a stock with a beta=20
exceeding 1 has more market risk than the typical stock. Most =
stocks,=20
however, have betas between 0.60 and 1.60.
Source: =
Adapted from=20
Christopher Farrell, =E2=80=9CThree Wise Men of Finance,=E2=80=9D =
Business Week ,=20
October 14, 2004, accessed at www.businessweek.com/magazine/content/04_41/b3903015_mz07=
2.htm?chan=3Dsearch .
We=20
should also realize that calculating beta is not an exact science. =
The=20
final estimate of a firm=E2=80=99s beta is heavily dependent on =
one=E2=80=99s methodology.=20
For instance, it matters whether you use 24 months in your =
measurement or=20
60 months, as most professional investment companies do. Take our=20
computation of Barnes & Noble=E2=80=99s beta. We said Barnes =
& Noble=E2=80=99s=20
beta is 1.4 but Standard & Poor=E2=80=99s, a well-known =
investment service,=20
has estimated Barnes & Noble=E2=80=99s beta to be 1.05. =
Standard & Poor=E2=80=99s=20
beta estimates for a number of firms are as follows:
Value Line
Coca-Cola
0.35
Exxon Mobil
0.63
General Motors
1.37
General Electric
0.84
IBM
1.54
Merck
0.66
Nike
0.52
PepsiCo
0.48
Wal-Mart
0.59
Thus, =
although close=20
in many instances, even the professionals may not agree in their=20
measurement of a given firm=E2=80=99s beta.
To=20
this point, we have talked about measuring an individual =
stock=E2=80=99s beta. We=20
will now consider how to measure the beta for a portfolio of=20
stocks.
Measuring =
a=20
Portfolio=E2=80=99s Beta
What=20
if we were to diversify our portfolio, as we have just suggested, =
but=20
instead of acquiring stocks with the same beta as Barnes & =
Noble=20
(1.40), we buy 8 stocks with betas of 1.0 and 12 stocks with betas =
of 1.5.=20
What would the beta of our portfolio become? As it works out, the =
portfolio =
beta is=20
merely the average of the individual stock betas. It is a =
weighted=20
average of the individual securities=E2=80=99 betas, with the =
weights being equal=20
to the proportion of the portfolio invested in each security . =
Thus,=20
the beta (=CE=B2) of a portfolio consisting of n stocks is =
equal to
(6-8)
Equation 6-8
So,=20
assuming we bought equal amounts of each stock in our new 20-stock =
portfolio, the beta would simply be 1.3, calculated as =
follows:
Thus, =
whenever the=20
general market increases or decreases 1 percent, our new =
portfolio=E2=80=99s=20
returns would change 1.3 percent on average, which means that our =
new=20
portfolio has more systematic, or market, risk than the market has =
as a=20
whole.
We=20
can conclude that the beta of a portfolio is determined by the =
betas of=20
the individual stocks. If we have a portfolio consisting of stocks =
with=20
low betas, then our portfolio will have a low beta. The reverse is =
true as=20
well. Figure =
6-7 presents=20
these situations graphically.
Before =
leaving the=20
subject of risk and diversification, we want to share a study that =
demonstrates the effects of diversifying our investments, not just =
across=20
different stocks but also across different types of =
securities.
Risk and=20
Diversification Demonstrated9
Having =
described the=20
effect of diversification on risk and return in a general way, =
let=E2=80=99s now=20
look at some actual numbers to demonstrate how risk and return =
change as=20
you diversify your portfolio. As it was stated earlier in the =
chapter, our=20
source of information is Ibbotson Associates, a firm that gathers=20
extensive return data on a large group of investments.
To=20
show the effect of diversification on risk and rates of return, =
Ibbotson=20
compared three portfolios (A, B, and C), consisting of the =
following=20
investments:
Investment Mix in Portfolio (%)
Types of Securities
A
B
C
Short-term government securities =
(Treasury=20
bills)
0%
63%
34%
Long-term government =
bonds
100
12
14
Large-company stocks
0
25
52 =20
100%
100%
100%
Figure 6-8 shows =
the average=20
returns and standard deviations of the three portfolios. The =
results show=20
that an investor can use diversification to improve the =
risk=E2=80=93return=20
characteristics of a portfolio. Specifically, we can see that
Portfolio A, which consists entirely of long-term government =
bonds,=20
had an average annual return of 5.5 percent with a standard =
deviation of=20
11.3 percent.10
In portfolio B, we diversified across all three security =
types, with=20
the majority of the funds (63%) invested in Treasury bills and a =
lesser=20
amount in stocks (25%) and long-term government bonds (12%). The =
effects=20
are readily apparent. The average returns of the two portfolios =
were=20
identical, but the risk associated with portfolio B was almost =
half that=20
of portfolio A=E2=80=94a standard deviation of 6.1 percent for =
portfolio B=20
compared with 11.3 percent for portfolio A. Notice that risk was =
less in=20
portfolio B even though stocks, a far more risky security, were =
included=20
in the portfolio. How could this be? Quite simply, stocks behave =
differently than both government bonds and Treasury bills, with =
the=20
effect being a less risky (lower standard deviation) =
portfolio.
Whereas portfolio B demonstrates how an investor can reduce =
risk=20
while keeping returns constant, portfolio C, with its increased=20
investment in stocks (52%), shows how an investor can increase =
average=20
returns while keeping risk constant. This portfolio had a risk =
level=20
identical to that of long-term government bonds alone (portfolio =
A), but=20
it achieved a higher average return of 8 percent, compared with =
5.5=20
percent for the government bond portfolio.
The=20
conclusion to be drawn from this example is clear. The market =
rewards=20
diversification. We can indeed lower risk without sacrificing =
expected=20
returns, and/or we can increase expected returns without having to =
assume=20
more risk by diversifying our investments.
This=20
example gives us real-world evidence about the merits of =
diversification;=20
however, a clarification is in order. Note that the =
diversification in our=20
example is across different asset types=E2=80=94Treasury bills =
versus long-term=20
government bonds versus common stocks. Diversifying among =
different=20
kinds of assets is called asset=20
allocation , compared with diversification within the =
different=20
asset classes. The benefit we receive from diversifying is far =
greater=20
through effective asset allocation than from astutely selecting =
individual=20
stocks to include within an asset category. For instance, Brinson, =
Singer,=20
and Beebower studied quarterly data from 82 large U.S. pension =
funds over=20
the period 1977 to 1987.11 They found =
that the=20
asset allocation decision accounted for over 91 percent of the =
differences=20
among the returns of pension funds. Deciding what specific =
securities to=20
hold accounted for only 4.6 percent of the variation in the =
different=20
pension returns.12 The point =
is=20
investors in the capital markets should focus more attention on =
asset=20
allocation than on selecting individual securities.
In=20
the next section, we complete our study of risk and returns by =
connecting=20
risk=E2=80=94market or systematic risk=E2=80=94to the =
investor=E2=80=99s required rate of=20
return. After all, although risk is an important issue, it is =
primarily=20
important in its effect on the investor=E2=80=99s required rate of =
return.
Did You =
Get It?
1.
Give specific examples of systematic and unsystematic =
risk. How=20
many different securities must be owned to essentially =
diversify=20
away unsystematic risk?
2.
What method is used to measure a firm=E2=80=99s market=20
risk?
3.
After reviewing Figure =
6-5 , explain=20
the difference between the plotted dots and the =
firm=E2=80=99s=20
characteristic line. What must be done to eliminate the=20
=
variations?
The =
Investor=E2=80=99s=20
Required Rate of Return
In=20
this section, we examine the concept of the investor=E2=80=99s =
required rate of=20
return, especially as it relates to the riskiness of an asset, and =
then we=20
see how the required rate of return might be measured.
Objective 5
Explain the relationship between an investor=E2=80=99s =
required rate of=20
return on an investment and the riskiness of the=20
investment.
The =
Required Rate of=20
Return Concept
An=20
investor=E2=80=99s required rate of=20
return can be defined as the minimum rate of return=20
necessary to attract an investor to purchase or hold a =
security . This=20
definition considers the investor=E2=80=99s opportunity cost of =
funds of making an=20
investment in the next-best investment . This forgone return =
is an=20
opportunity cost of undertaking the investment and, consequently, =
is the=20
investor=E2=80=99s required rate of return. In other words, we =
invest with the=20
intention of achieving a rate of return sufficient to warrant =
making the=20
investment. The investment will be made only if the purchase price =
is low=20
enough relative to expected future cash flows to provide a rate of =
return=20
greater than or equal to our required rate of return.
To=20
help us better understand the nature of an investor=E2=80=99s =
required rate of=20
return, we can separate the return into its basic components: the=20
risk-free rate of return plus a risk premium. Expressed as an=20
equation:
(6-9)
Equation 6-9
where k =
=3D
the investor=E2=80=99s required =
rate of=20
return
krf =20
=3D
the risk-free rate of =
return
krp =20
=3D
the risk=20
premium
The=20
risk-free rate of=20
return is the required rate of return, or discount =
rate, for=20
riskless investments . Typically, our measure for the risk-free =
rate of=20
return is the U.S. Treasury bill rate. The risk=20
premium , krp , is the additional =
return we=20
must expect to receive for assuming risk . As the level of risk =
increases, we will demand additional expected returns. Even though =
we may=20
or may not actually receive this incremental return, we must have =
reason=20
to expect it; otherwise, why expose ourselves to the chance of =
losing all=20
or part of our money?
Example
Assume you =
are=20
considering the purchase of a stock that you believe will provide =
a 14=20
percent return over the next year. If the expected risk-free rate =
of=20
return, such as the rate of return for 90-day Treasury bills, is 5 =
percent, then the risk premium you are demanding to assume the =
additional=20
risk is 9 percent (14% =E2=80=93 5%).
Measuring =
the=20
Required Rate of Return
We=20
have seen that (1) systematic risk is the only relevant =
risk=E2=80=94the rest can=20
be diversified away, and (2) the required rate of return, =
k , equals=20
the risk-free rate, krf , plus a risk premium,=20
krp . We will now examine how we can estimate =
investors=E2=80=99=20
required rates of return.
The=20
finance profession has had difficulty in developing a practical =
approach=20
to measure an investor=E2=80=99s required rate of return; however, =
financial=20
managers often use a method called the capital asset=20
pricing model (CAPM) . The capital asset pricing model =
is an=20
equation that equates the expected rate of return on a stock to =
the=20
risk-free rate plus a risk premium for the stock=E2=80=99s =
systematic risk .=20
Although certainly not without its critics, the CAPM provides an =
intuitive=20
approach for thinking about the return that an investor should =
require on=20
an investment, given the asset=E2=80=99s systematic or market =
risk.
Equation =
(6-9 ) provides the =
natural=20
starting point for measuring the investor=E2=80=99s required rate =
of return and=20
sets us up for using the CAPM. Rearranging this equation to solve =
for the=20
risk premium (krp ), we have
(6-10)
Equation 6-10
which =
simply says=20
that the risk premium for a security, krp , =
equals the=20
required return, k , less the risk-free rate existing in the =
market,=20
krf . For example, if the required return is 15 =
percent,=20
and the risk-free rate is 5 percent, the risk premium is 10 =
percent. Also,=20
if the required return for the market portfolio, =
km , is=20
12 percent, and the risk-free rate, krf , is 5 =
percent,=20
the risk premium, krp , for the market would be 7 =
percent. This 7 percent risk premium would apply to any security =
having=20
systematic (nondiversifiable) risk equivalent to the general =
market, or a=20
beta of 1.
In=20
this same market, a security with a beta (=CE=B2) of 2 should =
provide a risk=20
premium of 14 percent, or twice the 7 percent risk premium =
existing for=20
the market as a whole. Hence, in general, the appropriate required =
rate of=20
return for the j th security, kj , should =
be=20
determined by
(6-11)
Equation 6-11
Equation =
(6-11 ) is the CAPM. =
This=20
equation designates the risk=E2=80=93return trade-off existing in =
the market,=20
where risk is measured in terms of beta. Figure 6-9 graphs =
the CAPM=20
as the security market=20
line .13 The =
security market=20
line is the graphic representation of the CAPM. It is the line =
that=20
shows the appropriate required rate of return given a =
stock=E2=80=99s systematic=20
risk . As presented in this figure, securities with betas equal =
to 0,=20
1, and 2 should have required rates of return as follows:
If =CE=B2j =20
=3D 0: k j =20
=3D 5% + 0(12% =E2=80=93 5%) =3D 5%
If =CE=B2j =20
=3D 1: k j =20
=3D 5% + 1(12% =E2=80=93 5%) =3D 12%
If =CE=B2j =20
=3D 2: k j =20
=3D 5% + 2(12% =E2=80=93 5%) =3D =
19%
where the =
risk-free=20
rate, krf , is 5 percent, and the required return =
for the=20
market portfolio, km , is 12 percent.
Did You =
Get It?
1.
How does opportunity cost affect an investor=E2=80=99s =
required rate of=20
return?
2.
What are the two components of the investor=E2=80=99s =
required rate of=20
return?
3.
How does beta fit into factoring the risk premium in =
the CAPM=20
equation?
4.
Assuming the market is efficient, what is the =
relationship=20
between a stock=E2=80=99s price and the security market=20
line?
Summary
Define =
and=20
measure the expected rate of return of an individual =
investment.
In=20
Chapter 2 , we =
referred to the=20
discount rate as the interest rate, or the opportunity cost of =
funds. At=20
that point, we considered a number of important factors that =
influence=20
interest rates, including the price of time, expected or =
anticipated=20
inflation, and the risk premium related to maturity (liquidity) =
and the=20
variability of future returns. In this chapter, we have returned =
to our=20
study of rates of return and looked ever so carefully at the =
relationship=20
between risk and rates of return.
In a=20
world of uncertainty, we cannot make forecasts with certitude. =
Thus, we=20
must speak in terms of expected events. The expected return =
on an=20
investment may therefore be stated as a weighted average of all =
possible=20
returns, weighted by the probability that each will occur.
Define =
and=20
measure the riskiness of an individual investment.
Risk=20
for our purposes is the variability of returns and can be measured =
by the=20
standard deviation.
Ibbotson =
and=20
Sinquefield have provided us with annual rates of return earned on =
different types of security investments as far back as 1926. =
Ibbotson=20
Associates summarizes, among other things, the annual returns for =
six=20
portfolios of securities made up of
Common stocks of large companies=20
Common stocks of small firms=20
Long-term corporate bonds=20
Long-term U.S. government bonds=20
Intermediate-term U.S. government bonds=20
U.S. Treasury bills
Compare =
the=20
historical relationship between risk and rates of return in the =
capital=20
markets.
A=20
comparison of the annual rates of return for these respective =
portfolios=20
for the years 1926 to 2005 shows a positive relationship between =
risk and=20
return, with Treasury bills being least risky and common stocks of =
small=20
firms being most risky. From the data, we are able to see the =
benefit of=20
diversification in terms of improving the return=E2=80=93risk =
relationship. Also,=20
the data clearly demonstrate that only common stock has in the =
long run=20
served as an inflation hedge, and that the risk associated with =
common=20
stock can be reduced if investors are patient in receiving their=20
returns.
Explain =
how=20
diversifying investments affects the riskiness and expected rate =
of return=20
of a portfolio or combination of assets.
We=20
made an important distinction between nondiversifiable risk and=20
diversifiable risk. We concluded that the only relevant risk, =
given the=20
opportunity to diversify our portfolio, is a security=E2=80=99s =
nondiversifiable=20
risk, which we called by two other names: systematic risk and=20
market-related risk.
Explain =
the=20
relationship between the investor=E2=80=99s required rate of =
return on an=20
investment and the riskiness of the investment.
The=20
capital asset pricing model provides an intuitive framework for=20
understanding the risk=E2=80=93return relationship. The CAPM =
suggests that=20
investors determine an appropriate required rate of return, =
depending upon=20
the amount of systematic risk inherent in a security. This minimum =
acceptable rate of return is equal to the risk-free rate plus a =
risk=20
premium for assuming risk.
Review=20
Questions
6=E2=80=911.
What is meant by the investor=E2=80=99s required =
rate of return?=20
How do we measure the riskiness of an asset?=20
How should the proposed measurement of risk be =
interpreted?=20
6=E2=80=912.
What is (a) unsystematic risk (company-unique or =
diversifiable=20
risk) and (b) systematic risk (market or nondiversifiable=20
risk)?
6=E2=80=913.
What is a beta? How is it used to calculate k , =
the=20
investor=E2=80=99s required rate of =
return?
6=E2=80=914.
What is the security market line? What does it=20
represent?
6=E2=80=915.
How do we measure the beta of a=20
portfolio?
6=E2=80=916.
If we were to graph the returns of a stock against the =
returns=20
of the S&P 500 Index, and the points did not follow a =
very=20
ordered pattern, what could we say about that stock? If =
the=20
stock=E2=80=99s returns tracked the S&P 500 returns =
very closely, then=20
what could we say?
6=E2=80=917.
Over the past 6 decades, we have had the opportunity to =
observe=20
the rates of return and the variability of these returns =
for=20
different types of securities. Summarize these=20
observations.
6=E2=80=918.
What effect will diversifying your portfolio have on =
your=20
returns?
Self-Test=20
Problems
(The=20
solutions to the following problems are found at the end of the=20
chapter.)
ST=E2=80=911.
(Expected return and risk ) Universal Corporation =
is=20
planning to invest in a security that has several possible =
rates=20
of return. Given the following probability distribution of =
returns, what is the expected rate of return on the =
investment?=20
Also compute the standard deviations of the returns. What =
do the=20
resulting numbers represent?
Probability
Return
.10
=E2=80=9310%
.20
5%
.30
10%
.40
25%
<=
/TABLE>
ST=E2=80=912.
(Capital asset pricing model ) Using the CAPM, =
estimate=20
the appropriate required rate of return for the three =
stocks=20
listed here, given that the risk-free rate is 5 percent, =
and the=20
expected return for the market is 17 percent.
Stock
Beta
A
.75
B
.90
C
1.40
=
ST=E2=80=913.
(Average expected return and risk ) Given the=20
holding-period returns shown here, calculate the average =
returns=20
and the standard deviations for the Kaifu Corporation and =
for the=20
market.
Month
Kaifu Corp.
Market
1
4%
2%
2
6
3
3
0
1
4
2
=E2=80=931
=
TBODY>
ST=E2=80=914.
(Holding-period returns ) From the price data =
that=20
follow, compute the holding-period returns for periods 2 =
through=20
4.
Period
Stock Price
1
$10
2
13
3
11
4
15
=
TABLE>
ST=E2=80=915.
(Security market line )
Determine the expected return and beta for the =
following=20
portfolio:
Stock
Percentage of Portfolio
Beta
Expected =
Return
1
40%
1.00
12%
2
25
0.75
11
3
35
1.30
15
Given the foregoing information, draw the security =
market=20
line and show where the securities fit on the graph. =
Assume that=20
the risk-free rate is 8 percent and that the expected =
return on=20
the market portfolio is 12 percent. How would you =
interpret=20
these findings? =
Study =
Problems
6=E2=80=911.
(Expected rate of return and risk ) Carter Inc. =
is=20
evaluating a security. One-year Treasury bills are =
currently=20
paying 9.1 percent. Calculate the investment=E2=80=99s =
expected return and=20
its standard deviation. Should Carter invest in this =
security?
Probability
Return
.15
6%
.30
9%
.40
10%
.15
15%
<=
/TABLE>
6=E2=80=912.
(Expected rate of return and risk ) Summerville =
Inc. is=20
considering an investment in one of two common stocks. =
Given the=20
information that follows, which investment is better, =
based on the=20
risk (as measured by the standard deviation) and return of =
each?
Common Stock A
Common Stock B
Probability
Return
Probability
Return
.30
11%
.20
=E2=80=935%
.40
15%
.30
6%
.30
19%
.30
14%
.20
22%
<=
/TABLE>
6=E2=80=913.
(Expected rate of return and risk ) Richland=20
Manufacturing Inc. has prepared the following information=20
regarding two investments under consideration. Which =
investment=20
should be accepted?
Common Stock A
Common Stock B
Probability
Return
Probability
Return
.20
=E2=80=932%
.10
4%
.50
18%
.30
6%
.30
27%
.40
10%
.20
15%
<=
/TABLE>
6=E2=80=914.
(Required rate of return using CAPM )
Compute a fair rate of return for Intel common =
stock, which=20
has a 1.2 beta. The risk-free rate is 6 percent, and the =
market=20
portfolio (New York Stock Exchange stocks) has an =
expected=20
return of 16 percent.=20
Why is the rate you computed a fair rate?=20
6=E2=80=915.
(Estimating beta ) From this graph relating the=20
holding-period returns for Aram Inc. to the S&P 500 =
Index,=20
estimate the firm=E2=80=99s beta.
6=E2=80=916.
(Capital asset pricing model ) Levine =
Manufacturing Inc.=20
is considering several investments. The rate on Treasury =
bills is=20
currently 6.75 percent, and the expected return for the =
market is=20
12 percent. What should be the required rates of return =
for each=20
investment (using the CAPM)?
Security
Beta
A
1.50
B
.90
C
.70
D
1.15
=
6=E2=80=917.
(Capital asset pricing model ) MFI Inc. has a =
beta of=20
.86. If the expected market return is 11.5 percent and the =
risk-free rate is 7.5 percent, what is the appropriate =
required=20
return of MFI (using the =
CAPM)?
6=E2=80=918.
(Capital asset pricing model ) The expected =
return for=20
the general market is 12.8 percent, and the risk premium =
in the=20
market is 4.3 percent. Tasaco, LBM, and Exxos have betas =
of .864,=20
.693, and .575, respectively. What are the corresponding =
required=20
rates of return for the three =
securities?
6=E2=80=919.
(Computing holding-period returns )
From the price data here, compute the holding-period =
returns=20
for Jazman and Solomon for periods 2 through 4.
Period
Jazman
Solomon
1
$9
$27
2
11
28
3
10
32
4
13
29
How would you interpret the meaning of a =
holding-period=20
return?
6=E2=80=9110.
(Measuring risk and rates of return )
Given the holding-period returns shown here, compute =
the=20
average returns and the standard deviations for the =
Zemin=20
Corporation and for the market.
Month
Zemin Corp.
Market
1
6%
4%
2
3
2
3
=E2=80=931
1
4
=E2=80=933
=E2=80=932
5
5
2
6
0
2
If Zemin=E2=80=99s beta is 1.54 and the risk-free =
rate is 8 percent,=20
what would be an appropriate required return for an =
investor=20
owning Zemin? (Note : Because the returns of Zemin =
Corporation are based on monthly data, you will need to=20
annualize the returns to make them compatible with the =
risk-free=20
rate. For simplicity, you can convert from monthly to =
yearly=20
returns by multiplying the average monthly returns by =
12.)=20
How does Zemin=E2=80=99s historical average return =
compare with the=20
return you believe to be a fair return, given the =
firm=E2=80=99s=20
systematic risk?
6=E2=80=9111.
(Portfolio beta and security market line ) You =
own a=20
portfolio consisting of the following stocks:
Stock
Percentage of Portfolio
Beta
Expected =
Return
1
20%
1.00
16%
2
30
0.85
14
3
15
1.20
20
4
25
0.60
12
5
10
1.60
24
The risk-free rate is 7 =
percent.=20
Also, the expected return on the market portfolio is 15.5=20
percent.
Calculate the expected return of your portfolio.=20
(Hint : The expected return of a portfolio equals =
the=20
weighted average of the individual stocks=E2=80=99 =
expected returns,=20
where the weights are the percentage invested in each =
stock.)=20
Calculate the portfolio beta.=20
Given the foregoing information, plot the security =
market=20
line on paper. Plot the stocks from your portfolio on =
your=20
graph.=20
From your plot in part c, which stocks appear to be =
your=20
winners and which ones appear to be losers?=20
Why should you consider your conclusion in part d to =
be less=20
than certain?
6=E2=80=9112.
(Expected return, standard deviation, and capital =
asset=20
pricing model ) The following are the end-of-month =
prices for=20
both the Standard & Poor=E2=80=99s 500 Index and Ford =
Motor Company=E2=80=99s=20
common stock.
Using the data here, calculate the holding-period =
returns=20
for each of the months.
Month and Year
S&P 500 Index
Ford
March-05
$1,180.59
$11.33
April-05
1,156.85
9.11
May-05
1,191.50
9.98
June-05
1,191.33
10.24
July-05
1,234.18
10.74
August-05
1,220.33
9.97
September-05
1,228.81
9.86
October-05
1,207.01
8.32
November-05
1,249.48
8.13
December-05
1,248.29
7.72
January-06
1,280.08
8.58
February-06
1,280.66
7.97
March-06
1,291.24
7.96
Calculate the average monthly return and the =
standard=20
deviation for both the S&P 500 and Ford.=20
Develop a graph that shows the relationship between =
the Ford=20
stock returns and the S&P 500 Index. (Show the Ford =
returns=20
on the vertical axis and the S&P 500 Index returns =
on the=20
horizontal axis as done in Figure =
6-5 .)=20
From your graph, describe the nature of the =
relationship=20
between Ford stock returns and the returns for the =
S&P 500=20
Index. =
Web =
Works
6-WW1. Go =
to=20
http://www.moneychimp.com/ . Select the =
link=20
=E2=80=9CVolatility=E2=80=9D. Complete the retirement planning =
calculator, making the=20
assumptions that you believe are appropriate for you. Then go to =
the Monte=20
Carlo simulation calculator. Assume that you invest in =
large-company=20
common stocks during your working years and then invest in =
long-term=20
corporate bonds during retirement. Use the nominal average returns =
and=20
standard deviations shown in Figure 6-2 . What =
did you=20
learn?
6-WW2. Go =
to=20
www.cgi.money.cnn.com/tools . Choose =
=E2=80=9CAsset=20
Allocator.=E2=80=9D Answer the questions and click =
=E2=80=9CCalculate.=E2=80=9D Try different=20
options and see how the calculator suggests you allocate your=20
investments.
6-WW3. =
Access=20
http://finance.yahoo.com/ . On the left =
side of the=20
page, scroll down to and select =E2=80=9CInvesting=E2=80=9D and =
then choose =E2=80=9CEducation.=E2=80=9D=20
Next select =E2=80=9CGlossary=E2=80=9D and find =E2=80=9CExpected =
Return=E2=80=9D and =E2=80=9CExpected Value.=E2=80=9D=20
What did you learn from the definitions of these terms?
6-WW4. Go =
to=20
www.investopedia.com/university/beginner , =
where=20
there is an article on =E2=80=9CInvesting 101: A Tutorial for =
Beginning=20
Investors.=E2=80=9D Read the article and explain what it says =
about risk=20
tolerance.
Mini =
Case
Note: =20
Although not absolutely necessary, you are advised to use a =
computer=20
spreadsheet to work the following problem. A spreadsheet (Chapter 6 Mini Case) =
with the=20
following data is available at www.prenhall.com/keown
Use the price data from the table that follows for the =
Standard=20
& Poor=E2=80=99s 500 Index, Wal-Mart, and Target to =
calculate the=20
holding-period returns for the 24 months from March 2004 through =
March=20
2006.
Month
S&P 500
Wal-Mart
Target
Mar-04
$928.62
$59.69
$45.04
Apr-04
876.99
57.00
43.37
May-04
854.74
55.73
44.70
Jun-04
834.75
52.50
42.47
Jul-04
864.03
53.01
43.60
Aug-04
917.77
52.67
44.58
Sep-04
953.08
53.20
45.25
Oct-04
981.06
53.92
50.02
Nov-04
989.58
52.06
51.22
Dec-04
999.31
52.82
51.93
Jan-05
1,002.14
52.40
50.77
Feb-05
1,049.29
51.61
50.82
Mar-05
1,055.61
50.11
50.02
Apr-05
1,108.55
47.14
46.41
May-05
1,131.20
47.23
53.70
Jun-05
1,142.93
48.20
54.41
Jul-05
1,123.93
49.35
58.75
Aug-05
1,118.54
44.96
53.75
Sep-05
1,120.00
43.82
51.93
Oct-05
1,134.30
47.31
55.69
Nov-05
1,099.91
48.56
53.51
Dec-05
1,102.80
46.80
54.97
Jan-06
1,111.39
46.11
54.75
Feb-06
1,125.23
45.36
54.40
Mar-06
1,180.54
47.24
52.01
Calculate the average monthly holding-period returns and the =
standard deviation of these returns for the S&P 500 Index, =
Wal-Mart,=20
and Target.=20
Plot (1) the holding-period returns for Wal-Mart against the =
Standard & Poor=E2=80=99s 500 Index, and (2) the Target =
holding-period=20
returns against the Standard & Poor=E2=80=99s 500 Index. =
(Use Figure 6-5 as =
the format=20
for your graph.)=20
From your graphs in part c, describe the nature of the =
relationship=20
between the stock returns for Wal-Mart and the returns for the =
S&P=20
500 Index. Make the same comparison for Target.=20
Assume that you have decided to invest one-half of your =
money in=20
Wal-Mart and the remainder in Target. Calculate the monthly=20
holding-period returns for your two-stock portfolio. (Hint: The=20
monthly return for the portfolio is the average of the two =
stocks=E2=80=99=20
monthly returns.)=20
Plot the returns of your two-stock portfolio against the =
Standard=20
& Poor=E2=80=99s 500 Index as you did for the individual =
stocks in part c.=20
How does this graph compare to the graphs for the individual =
stocks?=20
Explain the difference.=20
The following table shows the returns on an annualized =20
basis that were realized from holding long-term government bonds =
for the=20
same period. Calculate the average monthly =20
holding-period returns and the standard deviations of these =
returns. (Hint : You =
will=20
need to convert the annual returns to monthly returns by =
dividing each=20
return by 12 months.)
Month and Year
Annualized Rate of Return =
(%)
Apr-04
4.50%
May-04
4.66%
Jun-04
4.62%
Jul-04
4.47%
Aug-04
4.13%
Sep-04
4.12%
Oct-04
4.03%
Nov-04
4.36%
Dec-04
4.22%
Jan-05
4.13%
Feb-05
4.36%
Mar-05
4.50%
Apr-05
4.20%
May-05
4.01%
Jun-05
3.94%
Jul-05
4.29%
Aug-05
4.02%
Sep-05
4.33%
Oct-05
4.56%
Nov-05
4.50%
Dec-05
4.39%
Jan-06
4.53%
Feb-06
4.55%
Mar-06
4.86%
Now assuming that you have decided to invest equal amounts =
of money=20
in Wal-Mart, Target, and long-term government securities, =
calculate the=20
monthly returns for your three-asset portfolio. What is the =
average=20
return and the standard deviation?=20
Make a comparison of the average returns and the standard =
deviations=20
for all the individual assets and the two portfolios that we =
designed.=20
What conclusions can be reached by your comparison?=20
According to Standard & Poor=E2=80=99s, the betas for =
Wal-Mart and=20
Target are 0.59 and 1.02, respectively. Compare the meaning of =
these=20
betas relative to the standard deviations calculated above.=20
The Treasury bill rate at the end of March 2006 was 4.5 =
percent.=20
Given the betas for Wal-Mart and Target and using the above data =
for the=20
S&P 500 Index as a measure for the market portfolio expected =
return,=20
estimate an appropriate required rate of return given the level =
of=20
systematic risk for each stock.
Self-Test=20
Solutions
SS=E2=80=911.
(A) Probability =
P (ki )
(B) Return (ki )
Expected (A) =C3=97 (B)
Weighted Deviation=20
(k i =E2=80=93 )2 P (k i ) =
THEAD>
.10
=E2=80=9310%
=E2=80=931%
52.9%
.20
5
1
12.8
.30
10
3
2.7
.40
25
10
57.6
=3D 13%
=CF=832 =3D =
126.0%
=CF=83 =3D =
11.22%
From =
our=20
studies in statistics, we know that if the distribution of =
returns=20
were normal, then Universal could expect a return of 13 =
percent,=20
with a 67 percent possibility that this return would vary up =
or down=20
by 11.22 percent between 1.78 percent (13% =E2=80=93 11.22%) =
and 24.22=20
percent (13% + 11.22%). However, it is apparent from the=20
probabilities that the distribution is not=20
normal.
SS=E2=80=912.
Stock A: 5% + .75 (17% =E2=80=93 5%) =3D 14.0%=20
Stock B: 5% + .90 (17% =E2=80=93 5%) =3D 15.8%=20
Stock C: 5% + 1.40 (17% =E2=80=93 5%) =3D 21.8%=20
SS=E2=80=914.
Time
Stock Price
Holding-Period Return
1
$10
2
13
($13 =C3=B7 $10) =
=E2=80=93 1 =3D 30.0%
3
11
($11 =C3=B7 $13) =
=E2=80=93 1 =3D =E2=80=9315.4%
4
15
($15 =C3=B7 $11) =
=E2=80=93 1 =3D=20
=
36.4%
SS=E2=80=915.
Portfolio expected return:
(.4 =C3=97 12%) + (.25 =C3=97 =
11%) + (.35 =C3=97 15%) =3D=20
12.8%
Portfolio beta:
(.4 =C3=97 1) + (.25 =C3=97 .75) =
+ (.35 =C3=97 1.3) =3D=20
1.04
Stocks 1 and 2 seem to be right in line with the =
security=20
market line, which suggest that they are earning a fair =
return,=20
given their systematic risk. Stock 3, on the other hand, =
is=20
earning more than a fair return (above the security market =
line).=20
We might be tempted to conclude that security 3 is =
undervalued.=20
However, we may be seeing an illusion; it is possible to=20
misspecify the security market line by using bad estimates =
in our=20
data.
Notes
1 Mary=20
Crane, =E2=80=9CBuy-Time For Undervalued Large-Cap Internet =
Stocks,=E2=80=9D www.forbes.com/markets/2006/06/01/google-yahoo-ebay-0601m=
arkets03.html ,=20
accessed July 30, 2006.
a The=20
probabilities assigned to the three possible economic conditions =
have to=20
be determined subjectively, which requires managers to have a =
thorough=20
understanding of both the investment cash flows and the general=20
economy.
2 Translated by Arthur W. H. Adkins =
from the=20
Greek text of Solon=E2=80=99s poem =E2=80=9CProsperity, Justice, =
and the Hazards of=20
Life,=E2=80=9D in M. L. West, ed., Iambi et Elegi Gracci ante =
Alexandrum=20
Canttati , vol. 2 (Oxford: Clarendon Press, 1972).
3 Peter=20
Bernstein, Against the Gods: The Remarkable Story of =
Risk . John=20
Wiley & Sons, Inc., New York, 1996, p. 1.
4 We assume=20
that the particular outcome or return earned in 1 year does =
not =20
affect the return earned in the subsequent year. Technically =
speaking,=20
the distribution of returns in any year is assumed to be =
independent of=20
the outcome in any prior year.
5 How can=20
we possibly view variations above the expected return as risk? =
Should we=20
even be concerned with the positive deviations above the =
expected=20
return? Some would say =E2=80=9Cno,=E2=80=9D viewing risk as =
only the negative=20
variability in returns from a predetermined minimum acceptable =
rate of=20
return. However, as long as the distribution of returns is =
symmetrical,=20
the same conclusions will be reached.
6 The New=20
York Stock Exchange Index is an index that reflects the =
performance of=20
all stocks listed on the New York Stock Exchange. The Standard =
&=20
Poor=E2=80=99s (S&P) 500 Index is similarly an index that =
measures the=20
combined stock-price performance of the companies that =
constitute the=20
500 largest companies in the United States, as designated by =
Standard=20
& Poor=E2=80=99s.
7 For=20
simplicity=E2=80=99s sake, we are ignoring the dividend that the =
investor=20
receives from the stock as part of the total return. In other =
words,=20
letting Dt equal the dividend received by the =
investor=20
in month t , the holding-period return would more =
accurately be=20
measured as
(6-5)
Equation 6-5
8 Linear=20
regression is the statistical technique used to determine the =
slope of=20
the line of best fit.
9 This=20
presentation is taken from material developed by Ibbotson =
Associates,=20
Chicago. Copyright =C2=A9 1994.
10 In this=20
example, Ibbotson Associates uses 1970 to 1993 data to compute =
the=20
standard deviation for the long-term government bonds; all other =
computations use the total 1926 to 1993 time frame.
11 Gary P.=20
Brinson, Ronald F. Singer, and Gilbert L. Beebower, =
=E2=80=9CDeterminants of=20
Portfolio Performance,=E2=80=9D Financial Analysts =
Journal (May=E2=80=93June=20
1991) 40=E2=80=9347.
12 It is=20
also interesting to know that Brinson, Singer, and Beebower =
found that=20
timing investments explained a meager 1.8 percent of the =
variation in=20
pension fund returns. That is, none of the investors of these =
pension=20
funds were any better than their peers at timing market =
movements when=20
making investments.
13 Two key=20
assumptions are made in using the security market line. First, =
we assume=20
that the marketplace where securities are bought and sold is =
highly=20
efficient. Market efficiency indicates that the price of an =
asset=20
responds quickly to new information, thereby suggesting that the =
price=20
of a security reflects all available information. As a result, =
the=20
current price of a security is considered to represent the best =
estimate=20
of its future price. Second, the model assumes that a perfect =
market=20
exists. A perfect market is one in which information is readily=20
available to all investors at a nominal cost. Also, securities =
are=20
assumed to be infinitely divisible, with any transaction costs =
incurred=20
in purchasing or selling a security being negligible. =
Furthermore,=20
investors are assumed to be single-period wealth maximizers who =
agree on=20
the meaning and significance of the available information. =
Finally,=20
within the perfect market, all investors are price =
takers , which=20
simply means that a single investor=E2=80=99s actions cannot =
affect the price of=20
a security. These assumptions are obviously not descriptive of =
reality.=20
However, from the perspective of positive economics, the mark of =
a good=20
theory is the accuracy of its predictions, not the validity of =
the=20
simplifying assumptions that underlie its=20
development.
------=_NextPart_000_0000_01C99D24.F1F52C50
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#header_panel_3 {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; LEFT: 0px; PADDING-BOTTOM: 0px; =
MARGIN: 0px; WIDTH: 67px; PADDING-TOP: 0px; LIST-STYLE-TYPE: none; =
POSITION: absolute; TOP: 0px
}
#header_panel_4 {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; LEFT: 0px; PADDING-BOTTOM: 0px; =
MARGIN: 0px; WIDTH: 64px; PADDING-TOP: 0px; LIST-STYLE-TYPE: none; =
POSITION: absolute; TOP: 0px
}
#header_panel_1 A:hover {
BACKGROUND: url(../images/headerbar_1.gif) no-repeat 0px -25px
}
#header_panel_2 A:hover {
BACKGROUND: url(../images/headerbar_2.gif) no-repeat 0px -25px
}
#header_panel_3 A:hover {
BACKGROUND: url(../images/headerbar_3.gif) no-repeat 0px -25px
}
#header_panel_4 A:hover {
BACKGROUND: url(../images/headerbar_4.gif) no-repeat 0px -25px
}
.container {
PADDING-RIGHT: 5px; PADDING-LEFT: 5px; FONT-WEIGHT: bold; FONT-SIZE: =
10px; LEFT: 1px; PADDING-BOTTOM: 5px; COLOR: #000000; PADDING-TOP: 5px; =
POSITION: absolute; TOP: 1px
}
.text {
PADDING-RIGHT: 5px; PADDING-LEFT: 5px; FONT-WEIGHT: bold; FONT-SIZE: =
10px; LEFT: -1px; PADDING-BOTTOM: 5px; COLOR: #ffffff; PADDING-TOP: 5px; =
POSITION: absolute; TOP: -1px
}
.text A {
COLOR: #ffffff; TEXT-DECORATION: none
}
.text A:visited {
COLOR: #ffffff; TEXT-DECORATION: none
}
.text A:hover {
BORDER-RIGHT: black 1px solid; PADDING-RIGHT: 5px; BORDER-TOP: black =
1px solid; MARGIN-TOP: -4px; PADDING-LEFT: 5px; PADDING-BOTTOM: 2px; =
MARGIN-LEFT: -7px; BORDER-LEFT: black 1px solid; COLOR: #000000; =
PADDING-TOP: 2px; BORDER-BOTTOM: black 1px solid; BACKGROUND-COLOR: =
#f4f4f4
}
#tabs {
BACKGROUND: url(../images/bg.gif) #ffffff repeat-x 50% bottom; =
OVERFLOW: hidden; LINE-HEIGHT: normal; POSITION: relative; HEIGHT: 28px
}
#personalization_bar {
PADDING-RIGHT: 0px; BORDER-TOP: black 1px solid; PADDING-LEFT: 5px; =
PADDING-BOTTOM: 0px; COLOR: black; PADDING-TOP: 2px; BORDER-BOTTOM: =
black 1px solid; WHITE-SPACE: nowrap; POSITION: relative; HEIGHT: 15px; =
BACKGROUND-COLOR: #bfddf4; TEXT-ALIGN: left
}
#breadcrumbbar {
MARGIN-TOP: 3px; MARGIN-LEFT: 1%; WIDTH: 98%; COLOR: #000000; =
WHITE-SPACE: nowrap; POSITION: relative; HEIGHT: 20px; BACKGROUND-COLOR: =
#f4f4f4
}
.crumb_link {
FLOAT: left; TEXT-ALIGN: left
}
.crumb_link A {
FONT-WEIGHT: bold; COLOR: #1272bd; TEXT-DECORATION: underline
}
.crumb_link A:hover {
COLOR: #990000
}
.preferences_link {
FLOAT: right; MARGIN-RIGHT: 1%; TEXT-ALIGN: right
}
.preferences_link A {
FONT-WEIGHT: bold; COLOR: #1272bd; TEXT-DECORATION: underline
}
.preferences_link A:hover {
COLOR: #990000
}
.centered {
PADDING-RIGHT: 100px; PADDING-LEFT: 100px; PADDING-BOTTOM: 0px; =
MARGIN-LEFT: 0px; PADDING-TOP: 0px; TEXT-ALIGN: center
}
.withLeftNav {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; =
MARGIN-LEFT: 150px; PADDING-TOP: 0px; TOP: 0px
}
.withLeftNavAbsPos {
BORDER-RIGHT: black 1px solid; BORDER-TOP: black 1px solid; =
PADDING-LEFT: 0px; LEFT: 0px; MARGIN-LEFT: 150px; BORDER-LEFT: black 1px =
solid; WIDTH: 605px; BORDER-BOTTOM: black 1px solid; POSITION: relative; =
TOP: 0px
}
.withLeftNavAbsPos_eBookDownload {
BORDER-RIGHT: black 1px solid; BORDER-TOP: black 1px solid; =
PADDING-LEFT: 0px; LEFT: 0px; MARGIN-LEFT: 150px; BORDER-LEFT: black 1px =
solid; WIDTH: 705px; BORDER-BOTTOM: black 1px solid; POSITION: relative; =
TOP: 0px
}
#leftnav_container {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; BACKGROUND: =
url(../images/leftnav_vert_bg.gif) #f4f4f4 repeat-y; PADDING-BOTTOM: =
0px; MARGIN: 0px; WIDTH: 150px; PADDING-TOP: 0px; POSITION: absolute
}
.leftnav_CWE {
HEIGHT: auto
}
.leftnav_OLS {
HEIGHT: 487px
}
.leftnav_eReader {
HEIGHT: auto
}
.leftnavtab {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; MARGIN: =
0px; WIDTH: 150px; PADDING-TOP: 0px
}
.leftnavtab IMG {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; MARGIN: =
0px; PADDING-TOP: 0px
}
#discussiontab {
PADDING-RIGHT: 0px; BORDER-TOP: #6f8bad 1px solid; PADDING-LEFT: 0px; =
BACKGROUND: url(../images/leftnav_disc.jpg); PADDING-BOTTOM: 0px; =
MARGIN: 0px; WIDTH: 150px; PADDING-TOP: 0px; POSITION: relative; HEIGHT: =
21px
}
.paneldisc A:hover {
BACKGROUND: url(../images/leftnav_disc.jpg) repeat-x 0px -21px
}
#discmenu {
BORDER-RIGHT: #ccc 1px solid; BORDER-TOP: #ccc 1px solid; BORDER-LEFT: =
#ccc 1px solid; WIDTH: 148px; COLOR: #000; BORDER-BOTTOM: #ccc 1px =
solid; BACKGROUND-COLOR: #e5e5e5
}
#discmenu A {
PADDING-RIGHT: 3px; PADDING-LEFT: 5px; COLOR: #003366
}
#discmenu A:visited {
COLOR: #000066
}
#discmenu A:hover {
COLOR: #990000
}
.bordered_box {
BORDER-RIGHT: #8aa0bb 1px solid; BORDER-TOP: #8aa0bb 1px solid; =
BACKGROUND: url(../images/bordered_box.jpg) repeat-y; BORDER-LEFT: =
#8aa0bb 1px solid; LINE-HEIGHT: 1.5em; BORDER-BOTTOM: #8aa0bb 1px solid
}
.message_box {
BORDER-RIGHT: black 1px solid; PADDING-RIGHT: 5px; BORDER-TOP: black =
1px solid; PADDING-LEFT: 5px; FONT-SIZE: 0.8em; PADDING-BOTTOM: 5px; =
MARGIN: 10px 0px; BORDER-LEFT: black 1px solid; PADDING-TOP: 5px; =
BORDER-BOTTOM: black 1px solid; BACKGROUND-COLOR: #ebe9dd; TEXT-ALIGN: =
left
}
.dkbluelabel {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-WEIGHT: bold; FONT-SIZE: =
1em; PADDING-BOTTOM: 2px; COLOR: #ffffff; PADDING-TOP: 2px; =
BACKGROUND-COLOR: #23527e; TEXT-ALIGN: center
}
.search_box {
PADDING-RIGHT: 5px; BORDER-TOP: black 1px solid; PADDING-LEFT: 5px; =
FONT-SIZE: 0.8em; PADDING-BOTTOM: 0px; PADDING-TOP: 5px; BORDER-BOTTOM: =
black 1px solid; HEIGHT: 67px; BACKGROUND-COLOR: #ceceaa; TEXT-ALIGN: =
left
}
.search_box A {
PADDING-RIGHT: 5px; PADDING-LEFT: 0px; FLOAT: left
}
.search_box IMG {
BORDER-RIGHT: 0px; PADDING-RIGHT: 0px; BORDER-TOP: 0px; PADDING-LEFT: =
0px; MARGIN-BOTTOM: 2px; PADDING-BOTTOM: 0px; BORDER-LEFT: 0px; WIDTH: =
54px; PADDING-TOP: 0px; BORDER-BOTTOM: 0px; HEIGHT: 18px
}
.goldtext {
COLOR: #636733
}
.darktext {
COLOR: #464213
}
.darkbackground {
BACKGROUND-COLOR: #464213
}
.bold {
FONT-WEIGHT: bold
}
.linkbox {
BORDER-RIGHT: #a38632 1px solid; PADDING-RIGHT: 1px; BORDER-TOP: =
#a38632 1px solid; PADDING-LEFT: 1px; FONT-SIZE: 0.8em; =
BACKGROUND-IMAGE: url(../images/linkbox_bg.gif); PADDING-BOTTOM: 3px; =
MARGIN: 5px; BORDER-LEFT: #a38632 1px solid; PADDING-TOP: 3px; =
BORDER-BOTTOM: #a38632 1px solid
}
.linkbox A {
COLOR: #838e3c; TEXT-DECORATION: underline
}
.linkbox A:visited {
COLOR: #505b09
}
.linkbox A:hover {
COLOR: #000099
}
.linkbox P {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; MARGIN: =
3px; PADDING-TOP: 0px
}
.left_nav_tab_imglink {
DISPLAY: block; FONT-WEIGHT: bold; FONT-SIZE: 8pt; LEFT: 10px; COLOR: =
#ffffff; POSITION: relative; TOP: 3px; HEIGHT: 21px; TEXT-ALIGN: left; =
TEXT-DECORATION: none
}
.left_nav_tab_imglink A {
COLOR: #ffffff; TEXT-DECORATION: none
}
#assigntab {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; BACKGROUND: =
url(../images/leftnav_resource.jpg); PADDING-BOTTOM: 0px; MARGIN: 0px; =
WIDTH: 150px; PADDING-TOP: 0px; POSITION: relative; HEIGHT: 21px
}
.panelassign A:hover {
BACKGROUND: url(../images/leftnav_resource.jpg) repeat-x 0px -21px
}
#assignmenu IMG {
BORDER-RIGHT: #000066 1px solid; PADDING-RIGHT: 0px; BORDER-TOP: =
#000066 1px solid; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; MARGIN: 0px; =
BORDER-LEFT: #000066 1px solid; PADDING-TOP: 0px; BORDER-BOTTOM: #000066 =
1px solid
}
#assignmenu A.image:hover {
BORDER-RIGHT: #ff0000 1px solid; PADDING-RIGHT: 0px; BORDER-TOP: =
#ff0000 1px solid; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; BORDER-LEFT: =
#ff0000 1px solid; PADDING-TOP: 0px; BORDER-BOTTOM: #ff0000 1px solid
}
#teamtab {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; BACKGROUND: =
url(../images/leftnav_bg.gif); PADDING-BOTTOM: 0px; MARGIN: 0px; WIDTH: =
150px; COLOR: #ffffff; PADDING-TOP: 0px; POSITION: relative; HEIGHT: =
21px; TEXT-DECORATION: none
}
.panelteam A {
COLOR: #ffffff; TEXT-DECORATION: none
}
.panelteam A:hover {
COLOR: #ffffff; TEXT-DECORATION: none
}
.panelteam A:visited {
COLOR: #ffffff; TEXT-DECORATION: none
}
#teammenu A {
PADDING-LEFT: 10px; COLOR: #003366; TEXT-DECORATION: none
}
#teammenu A:hover {
COLOR: #660000; TEXT-DECORATION: underline
}
A.helpLink {
COLOR: #ffffff; TEXT-DECORATION: none
}
A.helpLink:visited {
COLOR: #ffffff; TEXT-DECORATION: none
}
A.helpLink:active {
COLOR: #ffffff; TEXT-DECORATION: none
}
A.helpLink:hover {
COLOR: #ffffff; TEXT-DECORATION: underline
}
#footer {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-SIZE: x-small; =
PADDING-BOTTOM: 3px; WIDTH: 100%; COLOR: #ffffff; PADDING-TOP: 3px; =
BACKGROUND-COLOR: #21314f; TEXT-ALIGN: center; TEXT-DECORATION: none
}
#footer A {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-SIZE: x-small; =
PADDING-BOTTOM: 3px; WIDTH: 100%; COLOR: #ffffff; PADDING-TOP: 3px; =
BACKGROUND-COLOR: #21314f; TEXT-ALIGN: center; TEXT-DECORATION: none
}
#footer A:visited {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-SIZE: x-small; =
PADDING-BOTTOM: 3px; WIDTH: 100%; COLOR: #ffffff; PADDING-TOP: 3px; =
BACKGROUND-COLOR: #21314f; TEXT-ALIGN: center; TEXT-DECORATION: none
}
#footer A:hover {
TEXT-DECORATION: underline
}
#footer UL {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 3px; MARGIN: =
0px; PADDING-TOP: 3px
}
#footer LI {
PADDING-RIGHT: 5px; DISPLAY: inline; PADDING-LEFT: 5px; PADDING-BOTTOM: =
0px; PADDING-TOP: 0px; LIST-STYLE-TYPE: none
}
.tab {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 3px; WIDTH: =
603px; COLOR: #000066; PADDING-TOP: 3px; WHITE-SPACE: nowrap; POSITION: =
relative; BACKGROUND-COLOR: #ffffff
}
.padded {
PADDING-LEFT: 10px; WIDTH: 595px
}
#threadlist {
BORDER-RIGHT: #8aa0bb 1px solid; PADDING-RIGHT: 0px; BORDER-TOP: =
#8aa0bb 1px solid; PADDING-LEFT: 0px; PADDING-BOTTOM: 5px; BORDER-LEFT: =
#8aa0bb 1px solid; WIDTH: 603px; PADDING-TOP: 0px; BORDER-BOTTOM: =
#8aa0bb 1px solid; HEIGHT: 400px; BACKGROUND-COLOR: #ffffff
}
#headerbar {
BACKGROUND: url(../images/thread_head_bg.gif) repeat-x left top; =
HEIGHT: 20px
}
#headerbar A {
COLOR: #000000
}
#headerbar A:hover {
COLOR: #990000
}
#threads {
FONT-SIZE: 0.8em; OVERFLOW: auto; WIDTH: 603px; HEIGHT: 380px; =
BACKGROUND-COLOR: #f8f9fd
}
.highlight {
BACKGROUND-COLOR: #f3d2d7
}
#postpane {
BORDER-RIGHT: #8aa0bb 1px solid; PADDING-RIGHT: 0px; BORDER-TOP: =
#8aa0bb 1px solid; DISPLAY: none; PADDING-LEFT: 0px; FLOAT: left; =
PADDING-BOTTOM: 10px; MARGIN: 20px 0px 5px; BORDER-LEFT: #8aa0bb 1px =
solid; WIDTH: 605px; PADDING-TOP: 0px; BORDER-BOTTOM: #8aa0bb 1px solid; =
BACKGROUND-COLOR: #ffffff
}
#subject {
POSITION: relative; BACKGROUND-COLOR: #bfd5eb
}
#subject SPAN {
FONT-WEIGHT: bolder
}
#subject A {
FONT-WEIGHT: bold; COLOR: #cc9900; TEXT-DECORATION: underline
}
#subject A:hover {
FONT-WEIGHT: bolder; COLOR: #ffffff
}
#message {
WIDTH: 100%; POSITION: relative; BACKGROUND-COLOR: #f8f9fd
}
#message P {
PADDING-LEFT: 10px
}
.alert_text {
FONT-WEIGHT: bolder; FONT-SIZE: 1em; FLOAT: left; COLOR: #0000ff
}
#border_box {
CLEAR: both; BORDER-RIGHT: #8aa0bb 1px solid; BORDER-TOP: #8aa0bb 1px =
solid; BORDER-LEFT: #8aa0bb 1px solid; WIDTH: 98%; BORDER-BOTTOM: =
#8aa0bb 1px solid; HEIGHT: 400px; BACKGROUND-COLOR: #ffffff
}
#tab_left {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; BACKGROUND-IMAGE: =
url(../images/bigwidetableft.gif); PADDING-BOTTOM: 0px; MARGIN: 0px; =
WIDTH: 8px; PADDING-TOP: 0px; HEIGHT: 27px
}
#tab_center {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-WEIGHT: bold; FONT-SIZE: =
1.5em; BACKGROUND-IMAGE: url(../images/bigwidetabcenter.gif); =
PADDING-BOTTOM: 0px; MARGIN: 0px; WIDTH: auto; COLOR: #003366; =
PADDING-TOP: 0px; HEIGHT: 27px; TEXT-ALIGN: left
}
#tab_right {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; BACKGROUND-IMAGE: =
url(../images/bigwidetabright.gif); PADDING-BOTTOM: 0px; MARGIN: 0px; =
WIDTH: 68px; PADDING-TOP: 0px; HEIGHT: 27px
}
.pads_no_bullets {
PADDING-LEFT: 20px; MARGIN: 0px; LINE-HEIGHT: 1.5em; LIST-STYLE-TYPE: =
none
}
.underline {
TEXT-DECORATION: underline
}
.smalltext {
FONT-SIZE: 0.8em
}
.bigdao {
PADDING-LEFT: 0px; FONT-WEIGHT: bold; FONT-SIZE: 1.2em; MARGIN-LEFT: =
0px; COLOR: #000066
}
.middao {
FONT-WEIGHT: bold; FONT-SIZE: 1em; MARGIN-LEFT: 0px; COLOR: #000066; =
LINE-HEIGHT: 20px
}
P.dao {
PADDING-LEFT: 10px; FONT-SIZE: 1em; MARGIN: 0px
}
.big_and_bold {
FONT-WEIGHT: bold; FONT-SIZE: 1em; TEXT-DECORATION: underline
}
#button_float_right {
FLOAT: right; MARGIN: 15px 15px 15px 0px
}
.titleBorder {
BORDER-BOTTOM: #003366 1px solid
}
.button {
BORDER-RIGHT: #808080 1.5pt solid; BORDER-TOP: #808080 1.5pt solid; =
FONT-WEIGHT: bold; FONT-SIZE: 1em; BORDER-LEFT: #808080 1.5pt solid; =
CURSOR: pointer; COLOR: #003366; BORDER-BOTTOM: #808080 1.5pt solid; =
FONT-FAMILY: Verdana, Arial, Helvetica, Sans-Serif; HEIGHT: 20px; =
BACKGROUND-COLOR: #efefef
}
.sectionHead {
PADDING-LEFT: 5px; FONT-WEIGHT: bold; FONT-SIZE: 13px; COLOR: #000066; =
LETTER-SPACING: 1px
}
.stepHead {
FONT-WEIGHT: bold; FONT-SIZE: 20px; PADDING-BOTTOM: 5px; COLOR: =
#000066; BORDER-BOTTOM: #a9a9a9 1px dashed
}
.intro P {
PADDING-RIGHT: 10px; PADDING-LEFT: 0px; FONT-SIZE: 1em; PADDING-BOTTOM: =
0px; PADDING-TOP: 0px
}
.intro OL LI {
PADDING-RIGHT: 10px; PADDING-LEFT: 0px; FONT-SIZE: 1em; PADDING-BOTTOM: =
0px; PADDING-TOP: 0px
}
.defaultText {
PADDING-RIGHT: 10px; PADDING-LEFT: 0px; FONT-SIZE: 1em; PADDING-BOTTOM: =
0px; PADDING-TOP: 0px
}
.dashedLine {
BORDER-BOTTOM: #a9a9a9 1px dashed
}
.progressTitle {
FONT-SIZE: 1em; COLOR: #000080
}
.lightGrey {
BACKGROUND-COLOR: #f5f5f5
}
.appLeft {
PADDING-RIGHT: 4px; PADDING-LEFT: 4px; FONT-SIZE: 0.7em; =
PADDING-BOTTOM: 8px; WIDTH: 170px; PADDING-TOP: 8px
}
.appRight {
PADDING-RIGHT: 4px; PADDING-LEFT: 4px; FONT-SIZE: 0.7em; =
PADDING-BOTTOM: 8px; WIDTH: 400px; PADDING-TOP: 8px
}
.feeText {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-SIZE: 1em; PADDING-BOTTOM: =
2px; MARGIN: 0px; WIDTH: 100px; PADDING-TOP: 2px
}
.feeNumberCol {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-SIZE: 1em; PADDING-BOTTOM: =
2px; MARGIN: 0px; WIDTH: 100px; PADDING-TOP: 2px; TEXT-ALIGN: right
}
.LabelLeft {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-WEIGHT: bold; =
PADDING-BOTTOM: 2px; WIDTH: 100px; COLOR: #000066; PADDING-TOP: 2px
}
.LabelCtr {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-WEIGHT: bold; =
PADDING-BOTTOM: 2px; WIDTH: 100px; COLOR: #000066; PADDING-TOP: 2px; =
TEXT-ALIGN: center
}
.LabelRight {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-WEIGHT: bold; =
PADDING-BOTTOM: 2px; WIDTH: 100px; COLOR: #000066; PADDING-TOP: 2px; =
TEXT-ALIGN: right
}
.SubTotalUnderline {
WIDTH: 420px; BORDER-BOTTOM: #a9a9a9 1px solid
}
.TotalSpacer {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-WEIGHT: bold; =
PADDING-BOTTOM: 2px; MARGIN-LEFT: 10px; WIDTH: 285px; PADDING-TOP: 2px
}
.TotalFee {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-WEIGHT: bold; =
PADDING-BOTTOM: 2px; MARGIN-LEFT: 15px; WIDTH: 100px; PADDING-TOP: 2px; =
TEXT-ALIGN: right
}
.stepText {
PADDING-RIGHT: 20px; PADDING-LEFT: 10px; FONT-SIZE: 1em; =
PADDING-BOTTOM: 15px; PADDING-TOP: 0px
}
.programName {
PADDING-RIGHT: 10px; PADDING-LEFT: 10px; FONT-SIZE: 12px; =
PADDING-BOTTOM: 10px; PADDING-TOP: 3px; LETTER-SPACING: 1px
}
.currentProgress {
BORDER-RIGHT: #a9a9a9 1px solid; PADDING-RIGHT: 5px; BORDER-TOP: =
#a9a9a9 1px solid; PADDING-LEFT: 5px; FONT-WEIGHT: bold; FONT-SIZE: 1em; =
PADDING-BOTTOM: 5px; BORDER-LEFT: #a9a9a9 1px solid; PADDING-TOP: 5px; =
BORDER-BOTTOM: #a9a9a9 1px solid; LETTER-SPACING: 1px; BACKGROUND-COLOR: =
#dcdcdc
}
.inline {
PADDING-RIGHT: 0px; DISPLAY: inline; PADDING-LEFT: 0px; PADDING-BOTTOM: =
0px; MARGIN: 0px; PADDING-TOP: 0px; WHITE-SPACE: nowrap; =
LIST-STYLE-TYPE: none
}
.currentStatusIndicator {
PADDING-RIGHT: 10px; PADDING-LEFT: 10px; FONT-WEIGHT: bold; FONT-SIZE: =
1em; PADDING-BOTTOM: 3px; CURSOR: default; COLOR: #000000; PADDING-TOP: =
3px; LETTER-SPACING: 1px
}
.disabledStatusIndicator {
PADDING-RIGHT: 10px; PADDING-LEFT: 10px; FONT-SIZE: 1em; =
PADDING-BOTTOM: 3px; COLOR: #9e9e9e; PADDING-TOP: 3px; LETTER-SPACING: =
1px
}
.defaultProgress {
PADDING-RIGHT: 10px; PADDING-LEFT: 10px; FONT-SIZE: 12px; =
PADDING-BOTTOM: 3px; PADDING-TOP: 3px; BORDER-BOTTOM: #a9a9a9 1px =
dashed; LETTER-SPACING: 1px; BACKGROUND-COLOR: #fff
}
.defaultProgressNL {
PADDING-RIGHT: 10px; PADDING-LEFT: 10px; FONT-SIZE: 12px; =
PADDING-BOTTOM: 3px; PADDING-TOP: 3px; LETTER-SPACING: 1px; =
BACKGROUND-COLOR: #fff
}
.enabledStatusIndicator {
PADDING-RIGHT: 10px; PADDING-LEFT: 10px; FONT-WEIGHT: bold; FONT-SIZE: =
1em; PADDING-BOTTOM: 3px; CURSOR: pointer; COLOR: #003366; PADDING-TOP: =
3px; BORDER-BOTTOM: #a9a9a9 1px dashed; LETTER-SPACING: 1px; =
BACKGROUND-COLOR: #fff; TEXT-DECORATION: underline
}
.highlightBox {
BORDER-RIGHT: #a9a9a9 1px solid; PADDING-RIGHT: 5px; BORDER-TOP: =
#a9a9a9 1px solid; PADDING-LEFT: 5px; FONT-WEIGHT: bold; FONT-SIZE: 1em; =
PADDING-BOTTOM: 5px; BORDER-LEFT: #a9a9a9 1px solid; PADDING-TOP: 5px; =
BORDER-BOTTOM: #a9a9a9 1px solid; LETTER-SPACING: 1px; BACKGROUND-COLOR: =
#dcdcdc
}
.progressDesc {
PADDING-RIGHT: 0px; PADDING-LEFT: 10px; FONT-WEIGHT: bold; FONT-SIZE: =
0.8em; PADDING-BOTTOM: 0px; LINE-HEIGHT: 16px; PADDING-TOP: 0px
}
.progressRed {
PADDING-RIGHT: 0px; PADDING-LEFT: 10px; FONT-WEIGHT: bold; FONT-SIZE: =
0.8em; PADDING-BOTTOM: 0px; COLOR: #ff0000; LINE-HEIGHT: 16px; =
PADDING-TOP: 0px
}
.activeTextBox {
BORDER-RIGHT: #808080 1pt solid; BORDER-TOP: #808080 1pt solid; =
FONT-SIZE: 0.8em; BORDER-LEFT: #808080 1pt solid; BORDER-BOTTOM: #808080 =
1pt solid; HEIGHT: 18px; BACKGROUND-COLOR: #ffffcc
}
.inactiveTextBox {
BORDER-RIGHT: #808080 1pt solid; BORDER-TOP: #808080 1pt solid; =
FONT-SIZE: 0.8em; BORDER-LEFT: #808080 1pt solid; BORDER-BOTTOM: #808080 =
1pt solid; HEIGHT: 18px; BACKGROUND-COLOR: #ffffff
}
.inactiveSelect {
BORDER-RIGHT: #808080 1pt solid; BORDER-TOP: #808080 1pt solid; =
FONT-SIZE: 1em; BORDER-LEFT: #808080 1pt solid; BORDER-BOTTOM: #808080 =
1pt solid; HEIGHT: 18px; BACKGROUND-COLOR: #ffffff
}
.wc_container {
PADDING-RIGHT: 18px; PADDING-LEFT: 18px; FLOAT: left; PADDING-BOTTOM: =
20px; WIDTH: 560px; PADDING-TOP: 10px; BACKGROUND-COLOR: #ffffff
}
.wc_header {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; MARGIN: =
0px; WIDTH: 570px; PADDING-TOP: 0px; POSITION: relative; HEIGHT: 26px; =
TEXT-ALIGN: center
}
.wc_header IMG {
BORDER-RIGHT: 0px; PADDING-RIGHT: 0px; BORDER-TOP: 0px; PADDING-LEFT: =
0px; PADDING-BOTTOM: 0px; MARGIN: 0px; BORDER-LEFT: 0px; PADDING-TOP: =
0px; BORDER-BOTTOM: 0px
}
.wc_header A {
PADDING-RIGHT: 30px; PADDING-LEFT: 30px; PADDING-BOTTOM: 0px; COLOR: =
#000000; PADDING-TOP: 8px
}
.wc_header A:hover {
COLOR: #0000cc
}
.wc_header_left {
LEFT: 0px; POSITION: absolute; TOP: 0px
}
.wc_header_ctr {
BACKGROUND: url(../images/tabMiddle.gif) repeat-x left top; LEFT: 10px; =
MARGIN: 0px; WIDTH: 550px; PADDING-TOP: 5px; POSITION: absolute; TOP: =
0px; HEIGHT: 26px
}
.wc_header_right {
LEFT: 560px; POSITION: absolute; TOP: 0px
}
.wc_block {
BORDER-RIGHT: #728dae 1px solid; BORDER-TOP: #728dae 1px solid; =
BORDER-LEFT: #728dae 1px solid; WIDTH: 568px; BORDER-BOTTOM: #728dae 1px =
solid; POSITION: relative
}
.wc_block TH {
BORDER-BOTTOM: #728dae 1px solid; BACKGROUND-COLOR: #bed5eb
}
.pen_height {
HEIGHT: 173px
}
.CWE_intro {
BORDER-RIGHT: black 1px solid; PADDING-RIGHT: 5px; BORDER-TOP: black =
1px solid; MARGIN-TOP: 10px; PADDING-LEFT: 5px; PADDING-BOTTOM: 5px; =
MARGIN-LEFT: 7px; BORDER-LEFT: black 1px solid; WIDTH: 313px; =
PADDING-TOP: 5px; BORDER-BOTTOM: black 1px solid; HEIGHT: 143px; =
BACKGROUND-COLOR: #ffffff
}
.CWE_intro P {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; MARGIN: 0px =
0px 0px 5px; PADDING-TOP: 0px
}
.legend {
BACKGROUND-COLOR: #ffffff
}
.pale_blue_box {
HEIGHT: 40px; BACKGROUND-COLOR: #bed5eb
}
.pale_blue_text {
FONT-SIZE: 1em; COLOR: #6f8bad; LINE-HEIGHT: 1.3em
}
.CWE_h1 {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FONT-WEIGHT: bold; FONT-SIZE: =
1.3em; PADDING-BOTTOM: 0px; MARGIN: 0px; PADDING-TOP: 0px
}
.CWE_text {
PADDING-RIGHT: 30px; PADDING-LEFT: 30px; PADDING-BOTTOM: 15px; =
LINE-HEIGHT: 1.3em; PADDING-TOP: 15px; BACKGROUND-COLOR: #ffffff
}
.odd {
BACKGROUND-COLOR: #ffffff
}
.even {
BACKGROUND-COLOR: #f2f2f2
}
.submit_bg {
BORDER-BOTTOM: #6f8bad 5px solid; BACKGROUND-COLOR: #ffffff
}
.superscript {
FONT-WEIGHT: bold; FONT-SIZE: 0.5em; VERTICAL-ALIGN: top
}
.CWE_status {
PADDING-RIGHT: 5px; PADDING-LEFT: 5px; FLOAT: left; PADDING-BOTTOM: =
0px; MARGIN: 0px; WIDTH: 14px; PADDING-TOP: 0px; HEIGHT: 14px
}
.WP_green {
BACKGROUND: url(../images/WP_green.gif) no-repeat center 50%; =
TEXT-DECORATION: none
}
.WP_yellow {
BACKGROUND: url(../images/WP_yellow.gif) no-repeat center 50%; =
TEXT-DECORATION: none
}
.WP_red {
BACKGROUND: url(../images/WP_red.gif) no-repeat center 50%; =
TEXT-DECORATION: none
}
.PC_green {
BACKGROUND: url(../images/PC_green.gif) no-repeat center 50%; =
TEXT-DECORATION: none
}
.PC_yellow {
BACKGROUND: url(../images/PC_yellow.gif) no-repeat center 50%; =
TEXT-DECORATION: none
}
.PC_red {
BACKGROUND: url(../images/PC_red.gif) no-repeat center 50%; =
TEXT-DECORATION: none
}
.TR_green {
BACKGROUND: url(../images/TR_green.gif) no-repeat center 50%; =
TEXT-DECORATION: none
}
.TR_yellow {
BACKGROUND: url(../images/TR_yellow.gif) no-repeat center 50%; =
TEXT-DECORATION: none
}
.TR_red {
BACKGROUND: url(../images/TR_red.gif) no-repeat center 50%; =
TEXT-DECORATION: none
}
#chapter_search_1 {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; LEFT: 30px; PADDING-BOTTOM: 0px; =
MARGIN: 0px; PADDING-TOP: 0px; POSITION: relative; TOP: -6px
}
#chapter_search_1 LI {
LIST-STYLE-TYPE: none
}
A#plus {
PADDING-LEFT: 8px; BACKGROUND: url(../images/bullet_squares_white.gif) =
no-repeat left 50%; COLOR: #ffffff; MARGIN-RIGHT: 0px; TEXT-DECORATION: =
none
}
A#plus:visited {
PADDING-LEFT: 8px; BACKGROUND: url(../images/bullet_squares_white.gif) =
no-repeat left 50%; COLOR: #ffffff; MARGIN-RIGHT: 0px; TEXT-DECORATION: =
none
}
A#minus {
PADDING-LEFT: 8px; BACKGROUND: url(../images/bullet_squares_white.gif) =
no-repeat left 50%; COLOR: #ffffff; MARGIN-RIGHT: 0px; TEXT-DECORATION: =
none
}
A#minus:visited {
PADDING-LEFT: 8px; BACKGROUND: url(../images/bullet_squares_white.gif) =
no-repeat left 50%; COLOR: #ffffff; MARGIN-RIGHT: 0px; TEXT-DECORATION: =
none
}
A#plus:hover {
TEXT-DECORATION: underline
}
A#minus:hover {
TEXT-DECORATION: underline
}
.crumbs {
FONT-WEIGHT: bold; FONT-SIZE: 10px; MARGIN: 0px; WIDTH: 100%; COLOR: =
#ffffff; BORDER-BOTTOM: black 1px solid; HEIGHT: 23px; TEXT-ALIGN: right
}
.gold {
MARGIN-TOP: 0px; BACKGROUND: #a0a076
}
.copper {
BACKGROUND: #a19177
}
.blue {
BACKGROUND: #406184; MARGIN-BOTTOM: 0px; BORDER-BOTTOM: medium none
}
.labelText {
PADDING-RIGHT: 0px; PADDING-LEFT: 8px; BACKGROUND: =
url(../images/bullet_squares_white_sm.gif) no-repeat left center; =
PADDING-BOTTOM: 0px; MARGIN: 5px 10px 0px 5px; PADDING-TOP: 0px
}
#quicksearchImage {
CURSOR: hand; POSITION: relative; TOP: 0px
}
A.toolbarlink {
PADDING-LEFT: 8px; BACKGROUND: url(../images/bullet_squares_white.gif) =
no-repeat left 50%; MARGIN: 0px 10px; COLOR: #ffffff; LINE-HEIGHT: 20px; =
TEXT-DECORATION: none
}
A.toolbarlink:visited {
COLOR: #ffffff; TEXT-DECORATION: none
}
A.toolbarlink:hover {
COLOR: #ffffff; TEXT-DECORATION: underline
}
#table_pane {
BACKGROUND: url(../images/table_pane_bg.gif) #e9e7cf repeat-y left top; =
FLOAT: left; OVERFLOW: auto; WIDTH: 397px; HEIGHT: 389px; b: 1px solid =
black
}
#search_pane {
CLEAR: right; BACKGROUND: #c5c5b0; LEFT: 397px; FLOAT: left; =
BORDER-LEFT: black 1px solid; WIDTH: 209px; BORDER-BOTTOM: black 1px =
solid; TOP: 0px; HEIGHT: 389px
}
#eBookLogo {
MARGIN: 10px 0px 5px 25px
}
.eBookSearch {
BORDER-RIGHT: black 1px solid; BORDER-TOP: black 1px solid; =
PADDING-LEFT: 6px; MARGIN: 5px 8px; BORDER-LEFT: black 1px solid; =
BORDER-BOTTOM: black 1px solid; HEIGHT: 85px
}
.search_link {
FONT-WEIGHT: bolder; FONT-SIZE: 0.8em; MARGIN-LEFT: 8px; COLOR: #000000
}
.search_link A {
COLOR: #000000; TEXT-DECORATION: none
}
.search_link A:visited {
COLOR: #000000
}
.search_link A:hover {
COLOR: #ffffff; TEXT-DECORATION: underline
}
.dropdown_box {
BORDER-RIGHT: black 1px solid; PADDING-RIGHT: 0px; BORDER-TOP: black =
1px solid; PADDING-LEFT: 4px; PADDING-BOTTOM: 0px; MARGIN: 5px 8px 0px; =
BORDER-LEFT: black 1px solid; PADDING-TOP: 5px; BORDER-BOTTOM: black 1px =
solid; HEIGHT: 168px; BACKGROUND-COLOR: #d4d4c2
}
.ebook_dropdown {
FONT-WEIGHT: bold; FONT-SIZE: 0.95em; MARGIN: 3px; BACKGROUND-COLOR: =
#d3d3b5; TEXT-ALIGN: left
}
.copper_dropdown {
FONT-WEIGHT: bold; FONT-SIZE: 8pt; WIDTH: 208px; POSITION: relative; =
TOP: 2px; HEIGHT: 16px; BACKGROUND-COLOR: #c0b6a5; TEXT-ALIGN: left
}
.copper_textbox {
FONT-WEIGHT: bold; FONT-SIZE: 9pt; BACKGROUND-COLOR: #c0b6a5; =
TEXT-ALIGN: left
}
#ebook_buttons {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; BACKGROUND: =
url(../images/ebook_tools_map.gif); PADDING-BOTTOM: 0px; MARGIN: 0px; =
WIDTH: 537px; PADDING-TOP: 0px; POSITION: relative; HEIGHT: 18px
}
#ebook_buttons LI {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; MARGIN: =
0px; PADDING-TOP: 0px; LIST-STYLE-TYPE: none; POSITION: absolute; TOP: =
0px
}
#ebook_buttons LI {
DISPLAY: block; HEIGHT: 18px
}
#ebook_buttons A {
DISPLAY: block; HEIGHT: 18px
}
#ebook_panel_1 {
LEFT: 12px; WIDTH: 97px
}
#ebook_panel_2 {
LEFT: 202px; WIDTH: 112px
}
#ebook_panel_3 {
LEFT: 434px; WIDTH: 92px
}
#ebook_panel_1 A:hover {
BACKGROUND: url(../images/ebook_tools_map.gif) no-repeat -12px -18px
}
#ebook_panel_2 A:hover {
BACKGROUND: url(../images/ebook_tools_map.gif) no-repeat -202px -18px
}
#ebook_panel_3 A:hover {
BACKGROUND: url(../images/ebook_tools_map.gif) no-repeat -434px -18px
}
.book_pane {
PADDING-RIGHT: 0px; BORDER-TOP: black 1px solid; PADDING-LEFT: 0px; =
FLOAT: left; PADDING-BOTTOM: 0px; WIDTH: 100%; PADDING-TOP: 0px; =
BORDER-BOTTOM: black 1px solid; HEIGHT: auto; BACKGROUND-COLOR: #ffffff
}
.download_pane {
PADDING-RIGHT: 10px; BORDER-TOP: black 1px solid; PADDING-LEFT: 10px; =
FONT-SIZE: 12px; FLOAT: left; PADDING-BOTTOM: 0px; WIDTH: 685px; =
PADDING-TOP: 0px; BORDER-BOTTOM: black 1px solid; HEIGHT: auto; =
BACKGROUND-COLOR: #ffffff
}
#hidden {
DISPLAY: none
}
.Main_Title {
FONT-WEIGHT: bold; FONT-SIZE: 1.4em; MARGIN: 0px; WIDTH: 100%; COLOR: =
#000066; PADDING-TOP: 5px; BACKGROUND-COLOR: #f0f0f0; TEXT-ALIGN: center
}
.Sub_Title {
FONT-WEIGHT: bold; FONT-SIZE: 1.2em; MARGIN: 0px; TEXT-TRANSFORM: none; =
WIDTH: 100%; COLOR: #000000; BACKGROUND-COLOR: #f0f0f0; TEXT-ALIGN: =
center
}
.Book_Info {
FONT-SIZE: 0.8em; PADDING-BOTTOM: 5px; MARGIN: 0px; TEXT-TRANSFORM: =
none; WIDTH: 100%; COLOR: #000000; BACKGROUND-COLOR: #f0f0f0; =
TEXT-ALIGN: center
}
col1 {
LEFT: 0px; OVERFLOW: hidden; WIDTH: 280px; LINE-HEIGHT: 1.5; POSITION: =
relative; TOP: 0px; HEIGHT: 450px; BACKGROUND-COLOR: #ff0000
}
col2 {
LEFT: 300px; OVERFLOW: hidden; WIDTH: 280px; POSITION: relative; TOP: =
-450px; HEIGHT: 450px; BACKGROUND-COLOR: #0000ff
}
.img_float {
CLEAR: both; PADDING-RIGHT: 0px; PADDING-LEFT: 0px; FLOAT: left; =
PADDING-BOTTOM: 0px; MARGIN: 0px; PADDING-TOP: 0px
}
.centered_element {
PADDING-RIGHT: 0px; DISPLAY: block; PADDING-LEFT: 0px; PADDING-BOTTOM: =
0px; MARGIN-LEFT: auto; MARGIN-RIGHT: auto; PADDING-TOP: 0px
}
.bullet_squares {
PADDING-LEFT: 10px; LIST-STYLE-POSITION: outside; LIST-STYLE-IMAGE: =
url(../Common_Files/images/bullet_squares.gif); MARGIN-LEFT: 20px; =
LINE-HEIGHT: 2em
}
TD H1 {
MARGIN-BOTTOM: 5px
}
.bullet_squares A:link {
PADDING-RIGHT: 2px; PADDING-LEFT: 2px; FONT-SIZE: 1.2em; BACKGROUND: =
#ffffff; PADDING-BOTTOM: 2px; MARGIN: 4px; COLOR: #003366; PADDING-TOP: =
2px; TEXT-DECORATION: none
}
.bullet_squares A:visited {
PADDING-RIGHT: 2px; PADDING-LEFT: 2px; FONT-SIZE: 1.2em; BACKGROUND: =
#ffffff; PADDING-BOTTOM: 2px; MARGIN: 4px; COLOR: #003366; PADDING-TOP: =
2px; TEXT-DECORATION: none
}
.bullet_squares A:hover {
BORDER-RIGHT: #003366 1px solid; PADDING-RIGHT: 1px; BORDER-TOP: =
#003366 1px solid; PADDING-LEFT: 1px; FONT-SIZE: 1.2em; PADDING-BOTTOM: =
1px; MARGIN: 4px; BORDER-LEFT: #003366 1px solid; COLOR: #000099; =
PADDING-TOP: 1px; BORDER-BOTTOM: #003366 1px solid; BACKGROUND-COLOR: =
#f4f4f4
}
.indent80px {
MARGIN-LEFT: 80px
}
.stText P {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; MARGIN: =
0px; PADDING-TOP: 0px
}
.stText {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; BACKGROUND: #ffffff; LEFT: 0px; =
PADDING-BOTTOM: 0px; WIDTH: 300px; PADDING-TOP: 0px; POSITION: absolute; =
TOP: 0px
}
#textParent {
MARGIN-TOP: 5px; Z-INDEX: 1; LEFT: 0px; MARGIN-LEFT: 0px; OVERFLOW: =
hidden; WIDTH: 600px; MARGIN-RIGHT: 0px; POSITION: absolute; TOP: 0px; =
BACKGROUND-COLOR: #ffffff
}
#imageViewer {
BORDER-RIGHT: black 1px solid; BORDER-TOP: black 1px solid; DISPLAY: =
none; Z-INDEX: 5000; LEFT: 655px; OVERFLOW: auto; BORDER-LEFT: black 1px =
solid; WIDTH: 150px; BORDER-BOTTOM: black 1px solid; POSITION: absolute; =
TOP: 0px; BACKGROUND-COLOR: #ffffff; TEXT-ALIGN: left
}
#imageViewer DIV {
MARGIN: 10px
}
#showimage {
BORDER-RIGHT: gray 1px solid; BORDER-TOP: gray 1px solid; Z-INDEX: =
9999; VISIBILITY: hidden; BORDER-LEFT: gray 1px solid; BORDER-BOTTOM: =
gray 1px solid; POSITION: absolute
}
#dragbar {
MIN-WIDTH: 100px; CURSOR: pointer; BACKGROUND-COLOR: #efefef
}
#dragbar #closetext {
FONT-WEIGHT: bold; MARGIN-RIGHT: 1px
}
TABLE.pdfs {
MARGIN-TOP: 0px; FONT-WEIGHT: normal; FONT-SIZE: 12px; WIDTH: 100%; =
COLOR: #404040; BORDER-BOTTOM: #cccccc 1px solid; FONT-FAMILY: Verdana; =
BORDER-COLLAPSE: collapse; border-spacing: 0px
}
TABLE.pdfs TD.pdfsHd {
FONT-WEIGHT: bold; FONT-SIZE: 12px; BORDER-BOTTOM: #999999 2px solid; =
FONT-FAMILY: Verdana; BACKGROUND-COLOR: #d7d7d7
}
TABLE.pdfs TD.pdfsHdC {
FONT-WEIGHT: bold; FONT-SIZE: 12px; BORDER-BOTTOM: #999999 2px solid; =
FONT-FAMILY: Verdana; BACKGROUND-COLOR: #d7d7d7; TEXT-ALIGN: center
}
TABLE.pdfs TD {
PADDING-LEFT: 5px; FONT-WEIGHT: normal; FONT-SIZE: 12px; BORDER-BOTTOM: =
#cccccc 1px solid; FONT-FAMILY: Verdana, sans-serif, Arial; TEXT-ALIGN: =
left
}
TABLE.pdfs TD.pdfsBodL {
PADDING-RIGHT: 5px; PADDING-LEFT: 5px; PADDING-BOTTOM: 5px; =
PADDING-TOP: 5px
}
TABLE.pdfs TD.pdfsBodR {
PADDING-RIGHT: 5px; PADDING-LEFT: 5px; FONT-WEIGHT: normal; FONT-SIZE: =
10px; PADDING-BOTTOM: 5px; COLOR: #666666; PADDING-TOP: 5px
}
TABLE.pdfs TD.pdfsBodRC {
PADDING-RIGHT: 5px; PADDING-LEFT: 5px; FONT-WEIGHT: normal; FONT-SIZE: =
10px; PADDING-BOTTOM: 5px; COLOR: #666666; PADDING-TOP: 5px; TEXT-ALIGN: =
center
}
TABLE.pdfs A:link {
COLOR: #003366; TEXT-DECORATION: none
}
TABLE.pdfs A:visited {
COLOR: #003366; TEXT-DECORATION: none
}
TABLE.pdfs A:hover {
COLOR: #990000; TEXT-DECORATION: underline
}
.ebook {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; MARGIN: =
0px; WIDTH: 100%; PADDING-TOP: 0px
}
.ebookPrint {
PADDING-RIGHT: 0px; PADDING-LEFT: 0px; PADDING-BOTTOM: 0px; MARGIN: =
0px; WIDTH: 625px; PADDING-TOP: 0px
}
.border {
BORDER-RIGHT: black 3px double; BORDER-TOP: black 3px double; =
BORDER-LEFT: black 3px double; BORDER-BOTTOM: black 3px double
}
.author {
FONT-SIZE: 16px
}
.subText {
FONT-WEIGHT: normal; FONT-SIZE: 10px
}
@media Print =20
{
.ebookPrint {
TABLE-LAYOUT: fixed; PADDING-RIGHT: 0px; PADDING-LEFT: 0px; =
PADDING-BOTTOM: 0px; MARGIN: 0px; WIDTH: 100%; PADDING-TOP: 0px
}
#printTable {
DISPLAY: none
}
.printheader {
DISPLAY: table-header-group
}
.printfooter {
DISPLAY: table-footer-group
}
}
.findText {
PADDING-RIGHT: 1px; PADDING-LEFT: 1px; FONT-WEIGHT: bold; =
PADDING-BOTTOM: 1px; COLOR: #ffffff; BACKGROUND-COLOR: #70714a
}
A.foundLink:visited {
COLOR: #ffffff
}
A.foundLink:link {
COLOR: #ffffff
}
A.foundLink:active {
COLOR: #ffffff
}
A.foundLink:hover {
COLOR: #ffffff
}
.searchResultsLarge {
PADDING-LEFT: 0px; VISIBILITY: visible; MARGIN-LEFT: 0px; OVERFLOW: =
auto; WIDTH: 390px; HEIGHT: 350px; BACKGROUND-COLOR: #e9e7cf
}
.searchResultsNone {
BORDER-RIGHT: 0px; BORDER-TOP: 0px; VISIBILITY: hidden; BORDER-LEFT: =
0px; BORDER-BOTTOM: 0px
}
.TreeviewSpanArea {
VISIBILITY: visible
}
------=_NextPart_000_0000_01C99D24.F1F52C50
Content-Type: text/css;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
Content-Location: https://ecampus.phoenix.edu/content/eBookLibrary/UI/css/general.css
.normal {
TEXT-INDENT: 1em
}
.block {
MARGIN-LEFT: 20px
}
.hanging {
MARGIN-LEFT: 0px; TEXT-INDENT: -50px
}
.note {
FONT-SIZE: 80%; TEXT-INDENT: 0px
}
.note-normal {
MARGIN-LEFT: 20px
}
.titleicon {
FLOAT: left; MARGIN-RIGHT: 10px
}
.title-note {
FONT-WEIGHT: bold
}
.note-endnotes {
FONT-SIZE: 80%; TEXT-INDENT: 0px
}
.heading1 {
=09
}
.heading2 {
=09
}
.heading3 {
=09
}
.heading4 {
=09
}
.heading5 {
=09
}
.heading6 {
=09
}
.title-para {
FONT-WEIGHT: bold; TEXT-INDENT: 0px
}
UL P.title-itemizedlist {
FONT-WEIGHT: bold; MARGIN-BOTTOM: 5px; TEXT-INDENT: -1.5em
}
OL P.title-orderedlist {
FONT-WEIGHT: bold; MARGIN-BOTTOM: 5px; MARGIN-LEFT: -1.5em
}
.title-chapter {
COLOR: blue
}
.title-part {
COLOR: navy
}
.chapter-name {
COLOR: #0c0c86
}
.title-qandaset {
TEXT-INDENT: 0px
}
.title-qandadiv {
FONT-WEIGHT: bold; TEXT-INDENT: 0px
}
.title-table {
FONT-WEIGHT: bold; TEXT-ALIGN: center
}
.title-figure {
FONT-WEIGHT: bold; TEXT-ALIGN: center
}
.title-equation {
FONT-WEIGHT: bold; TEXT-ALIGN: center
}
.question-block {
MARGIN-LEFT: 20px; TEXT-INDENT: 0px
}
.answer-block {
MARGIN-LEFT: 20px; TEXT-INDENT: 0px
}
.list-1 {
LIST-STYLE-TYPE: decimal
}
.list-1-nested {
MARGIN-TOP: 0px; MARGIN-BOTTOM: 0px; PADDING-BOTTOM: 5px; PADDING-TOP: =
5px; LIST-STYLE-TYPE: decimal
}
.list-lowerA {
LIST-STYLE-TYPE: lower-alpha
}
.list-lowerA-nested {
MARGIN-TOP: 0px; MARGIN-BOTTOM: 0px; PADDING-BOTTOM: 5px; PADDING-TOP: =
5px; LIST-STYLE-TYPE: lower-alpha
}
.list-upperA {
LIST-STYLE-TYPE: upper-alpha
}
.list-upperA-nested {
MARGIN-TOP: 0px; MARGIN-BOTTOM: 0px; PADDING-BOTTOM: 5px; PADDING-TOP: =
5px; LIST-STYLE-TYPE: upper-alpha
}
.list-loweri {
LIST-STYLE-TYPE: lower-roman
}
.list-loweri-nested {
MARGIN-TOP: 0px; MARGIN-BOTTOM: 0px; PADDING-BOTTOM: 5px; PADDING-TOP: =
5px; LIST-STYLE-TYPE: lower-roman
}
.list-upperi {
LIST-STYLE-TYPE: upper-roman
}
.list-upperi-nested {
MARGIN-TOP: 0px; MARGIN-BOTTOM: 0px; PADDING-BOTTOM: 5px; PADDING-TOP: =
5px; LIST-STYLE-TYPE: upper-roman
}
UL.list-custom {
MARGIN-TOP: 10px; MARGIN-BOTTOM: 10px; MARGIN-LEFT: 35px
}
.list-custom-label {
VERTICAL-ALIGN: top
}
.list-bullet {
MARGIN-TOP: 10px; PADDING-LEFT: 10px; MARGIN-BOTTOM: 10px; MARGIN-LEFT: =
25px; LIST-STYLE-TYPE: disc
}
.list-bullet-nested {
MARGIN-TOP: 0px; MARGIN-BOTTOM: 0px; PADDING-BOTTOM: 5px; MARGIN-LEFT: =
15px; PADDING-TOP: 5px; LIST-STYLE-TYPE: disc
}
.list-square {
MARGIN-TOP: 10px; PADDING-LEFT: 10px; MARGIN-BOTTOM: 10px; MARGIN-LEFT: =
25px; LIST-STYLE-TYPE: square
}
.list-square-nested {
MARGIN-TOP: 0px; MARGIN-BOTTOM: 0px; PADDING-BOTTOM: 5px; MARGIN-LEFT: =
15px; PADDING-TOP: 5px; LIST-STYLE-TYPE: square
}
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s+=3D"&utmhid=3D"+_uGH();=0A=
s+=3D"&utmr=3D"+_ur;=0A=
s+=3D"&utmp=3D"+pg;=0A=
if ((_userv=3D=3D0 || _userv=3D=3D2) && _uSP()) {=0A=
var i=3Dnew Image(1,1);=0A=
i.src=3D_ugifpath+"?"+"utmwv=3D"+_uwv+s;=0A=
i.onload=3Dfunction() { _uVoid(); }=0A=
}=0A=
if ((_userv=3D=3D1 || _userv=3D=3D2) && _uSP()) {=0A=
var i2=3Dnew Image(1,1);=0A=
=
i2.src=3D_ugifpath2+"?"+"utmwv=3D"+_uwv+s+"&utmac=3D"+_uacct+"&utmcc=3D"+=
_uGCS();=0A=
i2.onload=3Dfunction() { _uVoid(); }=0A=
}=0A=
return;=0A=
}=0A=
function _uVoid() { return; }=0A=
function _uCInfo() {=0A=
if (!_ucto || _ucto=3D=3D"") { _ucto=3D"15768000"; }=0A=
if (!_uVG()) return;=0A=
var =
c=3D"",t=3D"-",t2=3D"-",t3=3D"-",o=3D0,cs=3D0,cn=3D0,i=3D0,z=3D"-",s=3D""=
;=0A=
if (_uanchor && _udlh && _udlh!=3D"") s=3D_udlh+"&";=0A=
s+=3D_udl.search;=0A=
var x=3Dnew Date(_udt.getTime()+(_ucto*1000));=0A=
var dc=3D_ubd.cookie;=0A=
x=3D" expires=3D"+x.toGMTString()+";";=0A=
if (_ulink && !_ubl) {=0A=
z=3D_uUES(_uGC(s,"__utmz=3D","&"));=0A=
if (z!=3D"-" && z.indexOf(";")=3D=3D-1) { =
_ubd.cookie=3D"__utmz=3D"+z+"; path=3D"+_utcp+";"+x+_udo; return ""; }=0A=
}=0A=
z=3Ddc.indexOf("__utmz=3D"+_udh+".");=0A=
if (z>-1) { z=3D_uGC(dc,"__utmz=3D"+_udh+".",";"); }=0A=
else { z=3D"-"; }=0A=
t=3D_uGC(s,_ucid+"=3D","&");=0A=
t2=3D_uGC(s,_ucsr+"=3D","&");=0A=
t3=3D_uGC(s,"gclid=3D","&");=0A=
if ((t!=3D"-" && t!=3D"") || (t2!=3D"-" && t2!=3D"") || (t3!=3D"-" && =
t3!=3D"")) {=0A=
if (t!=3D"-" && t!=3D"") c+=3D"utmcid=3D"+_uEC(t);=0A=
if (t2!=3D"-" && t2!=3D"") { if (c !=3D "") c+=3D"|"; =
c+=3D"utmcsr=3D"+_uEC(t2); }=0A=
if (t3!=3D"-" && t3!=3D"") { if (c !=3D "") c+=3D"|"; =
c+=3D"utmgclid=3D"+_uEC(t3); }=0A=
t=3D_uGC(s,_uccn+"=3D","&");=0A=
if (t!=3D"-" && t!=3D"") c+=3D"|utmccn=3D"+_uEC(t);=0A=
else c+=3D"|utmccn=3D(not+set)";=0A=
t=3D_uGC(s,_ucmd+"=3D","&");=0A=
if (t!=3D"-" && t!=3D"") c+=3D"|utmcmd=3D"+_uEC(t);=0A=
else c+=3D"|utmcmd=3D(not+set)";=0A=
t=3D_uGC(s,_uctr+"=3D","&");=0A=
if (t!=3D"-" && t!=3D"") c+=3D"|utmctr=3D"+_uEC(t);=0A=
else { t=3D_uOrg(1); if (t!=3D"-" && t!=3D"") =
c+=3D"|utmctr=3D"+_uEC(t); }=0A=
t=3D_uGC(s,_ucct+"=3D","&");=0A=
if (t!=3D"-" && t!=3D"") c+=3D"|utmcct=3D"+_uEC(t);=0A=
t=3D_uGC(s,_ucno+"=3D","&");=0A=
if (t=3D=3D"1") o=3D1;=0A=
if (z!=3D"-" && o=3D=3D1) return "";=0A=
}=0A=
if (c=3D=3D"-" || c=3D=3D"") { c=3D_uOrg(); if (z!=3D"-" && =
_ufno=3D=3D1) return ""; }=0A=
if (c=3D=3D"-" || c=3D=3D"") { if (_ufns=3D=3D1) c=3D_uRef(); if =
(z!=3D"-" && _ufno=3D=3D1) return ""; }=0A=
if (c=3D=3D"-" || c=3D=3D"") {=0A=
if (z=3D=3D"-" && _ufns=3D=3D1) { =
c=3D"utmccn=3D(direct)|utmcsr=3D(direct)|utmcmd=3D(none)"; }=0A=
if (c=3D=3D"-" || c=3D=3D"") return "";=0A=
}=0A=
if (z!=3D"-") {=0A=
i=3Dz.indexOf(".");=0A=
if (i>-1) i=3Dz.indexOf(".",i+1);=0A=
if (i>-1) i=3Dz.indexOf(".",i+1);=0A=
if (i>-1) i=3Dz.indexOf(".",i+1);=0A=
t=3Dz.substring(i+1,z.length);=0A=
if (t.toLowerCase()=3D=3Dc.toLowerCase()) cs=3D1;=0A=
t=3Dz.substring(0,i);=0A=
if ((i=3Dt.lastIndexOf(".")) > -1) {=0A=
t=3Dt.substring(i+1,t.length);=0A=
cn=3D(t*1);=0A=
}=0A=
}=0A=
if (cs=3D=3D0 || _ufns=3D=3D1) {=0A=
t=3D_uGC(dc,"__utma=3D"+_udh+".",";");=0A=
if ((i=3Dt.lastIndexOf(".")) > 9) {=0A=
_uns=3Dt.substring(i+1,t.length);=0A=
_uns=3D(_uns*1);=0A=
}=0A=
cn++;=0A=
if (_uns=3D=3D0) _uns=3D1;=0A=
_ubd.cookie=3D"__utmz=3D"+_udh+"."+_ust+"."+_uns+"."+cn+"."+c+"; =
path=3D"+_utcp+"; "+x+_udo;=0A=
}=0A=
if (cs=3D=3D0 || _ufns=3D=3D1) return "&utmcn=3D1";=0A=
else return "&utmcr=3D1";=0A=
}=0A=
function _uRef() {=0A=
if (_ur=3D=3D"0" || _ur=3D=3D"" || _ur=3D=3D"-") return "";=0A=
var i=3D0,h,k,n;=0A=
if ((i=3D_ur.indexOf("://"))<0 || _uGCse()) return "";=0A=
h=3D_ur.substring(i+3,_ur.length);=0A=
if (h.indexOf("/") > -1) {=0A=
k=3Dh.substring(h.indexOf("/"),h.length);=0A=
if (k.indexOf("?") > -1) k=3Dk.substring(0,k.indexOf("?"));=0A=
h=3Dh.substring(0,h.indexOf("/"));=0A=
}=0A=
h=3Dh.toLowerCase();=0A=
n=3Dh;=0A=
if ((i=3Dn.indexOf(":")) > -1) n=3Dn.substring(0,i);=0A=
for (var ii=3D0;ii<_uRno.length;ii++) {=0A=
if ((i=3Dn.indexOf(_uRno[ii].toLowerCase())) > -1 && =
n.length=3D=3D(i+_uRno[ii].length)) { _ufno=3D1; break; }=0A=
}=0A=
if (h.indexOf("www.")=3D=3D0) h=3Dh.substring(4,h.length);=0A=
return =
"utmccn=3D(referral)|utmcsr=3D"+_uEC(h)+"|"+"utmcct=3D"+_uEC(k)+"|utmcmd=3D=
referral";=0A=
}=0A=
function _uOrg(t) {=0A=
if (_ur=3D=3D"0" || _ur=3D=3D"" || _ur=3D=3D"-") return "";=0A=
var i=3D0,h,k;=0A=
if ((i=3D_ur.indexOf("://"))<0 || _uGCse()) return "";=0A=
h=3D_ur.substring(i+3,_ur.length);=0A=
if (h.indexOf("/") > -1) {=0A=
h=3Dh.substring(0,h.indexOf("/"));=0A=
}=0A=
for (var ii=3D0;ii<_uOsr.length;ii++) {=0A=
if (h.toLowerCase().indexOf(_uOsr[ii].toLowerCase()) > -1) {=0A=
if ((i=3D_ur.indexOf("?"+_uOkw[ii]+"=3D")) > -1 || =
(i=3D_ur.indexOf("&"+_uOkw[ii]+"=3D")) > -1) {=0A=
k=3D_ur.substring(i+_uOkw[ii].length+2,_ur.length);=0A=
if ((i=3Dk.indexOf("&")) > -1) k=3Dk.substring(0,i);=0A=
for (var yy=3D0;yy<_uOno.length;yy++) {=0A=
if (_uOno[yy].toLowerCase()=3D=3Dk.toLowerCase()) { _ufno=3D1; =
break; }=0A=
}=0A=
if (t) return _uEC(k);=0A=
else return =
"utmccn=3D(organic)|utmcsr=3D"+_uEC(_uOsr[ii])+"|"+"utmctr=3D"+_uEC(k)+"|=
utmcmd=3Dorganic";=0A=
}=0A=
}=0A=
}=0A=
return "";=0A=
}=0A=
function _uGCse() {=0A=
var h,p;=0A=
h=3Dp=3D_ur.split("://")[1];=0A=
if(h.indexOf("/")>-1) {=0A=
h=3Dh.split("/")[0];=0A=
p=3Dp.substring(p.indexOf("/")+1,p.length);=0A=
}=0A=
if(p.indexOf("?")>-1) {=0A=
p=3Dp.split("?")[0];=0A=
}=0A=
if(h.toLowerCase().indexOf("google")>-1) {=0A=
if(_ur.indexOf("?q=3D")>-1 || _ur.indexOf("&q=3D")>-1) {=0A=
if (p.toLowerCase().indexOf("cse")>-1) {=0A=
return true;=0A=
}=0A=
}=0A=
}=0A=
}=0A=
function _uBInfo() {=0A=
var sr=3D"-",sc=3D"-",ul=3D"-",fl=3D"-",cs=3D"-",je=3D1;=0A=
var n=3Dnavigator;=0A=
if (self.screen) {=0A=
sr=3Dscreen.width+"x"+screen.height;=0A=
sc=3Dscreen.colorDepth+"-bit";=0A=
} else if (self.java) {=0A=
var j=3Djava.awt.Toolkit.getDefaultToolkit();=0A=
var s=3Dj.getScreenSize();=0A=
sr=3Ds.width+"x"+s.height;=0A=
}=0A=
if (n.language) { ul=3Dn.language.toLowerCase(); }=0A=
else if (n.browserLanguage) { ul=3Dn.browserLanguage.toLowerCase(); }=0A=
je=3Dn.javaEnabled()?1:0;=0A=
if (_uflash) fl=3D_uFlash();=0A=
if (_ubd.characterSet) cs=3D_uES(_ubd.characterSet);=0A=
else if (_ubd.charset) cs=3D_uES(_ubd.charset);=0A=
return =
"&utmcs=3D"+cs+"&utmsr=3D"+sr+"&utmsc=3D"+sc+"&utmul=3D"+ul+"&utmje=3D"+j=
e+"&utmfl=3D"+fl;=0A=
}=0A=
function __utmSetTrans() {=0A=
var e;=0A=
if (_ubd.getElementById) e=3D_ubd.getElementById("utmtrans");=0A=
else if (_ubd.utmform && _ubd.utmform.utmtrans) =
e=3D_ubd.utmform.utmtrans;=0A=
if (!e) return;=0A=
var l=3De.value.split("UTM:");=0A=
var i,i2,c;=0A=
if (_userv=3D=3D0 || _userv=3D=3D2) i=3Dnew Array();=0A=
if (_userv=3D=3D1 || _userv=3D=3D2) { i2=3Dnew Array(); c=3D_uGCS(); }=0A=
=0A=
for (var ii=3D0;ii-1) return;=0A=
if (h) { url=3Dl+"#"+p; }=0A=
else {=0A=
if (iq=3D=3D-1 && ih=3D=3D-1) url=3Dl+"?"+p;=0A=
else if (ih=3D=3D-1) url=3Dl+"&"+p;=0A=
else if (iq=3D=3D-1) url=3Dl.substring(0,ih-1)+"?"+p+l.substring(ih);=0A=
else url=3Dl.substring(0,ih-1)+"&"+p+l.substring(ih);=0A=
}=0A=
}=0A=
return url;=0A=
}=0A=
function __utmLinker(l,h) {=0A=
if (!_ulink || !l || l=3D=3D"") return;=0A=
_udl.href=3D__utmLinkerUrl(l,h);=0A=
}=0A=
function __utmLinkPost(f,h) {=0A=
if (!_ulink || !f || !f.action) return;=0A=
f.action=3D__utmLinkerUrl(f.action, h);=0A=
return;=0A=
}=0A=
function __utmSetVar(v) {=0A=
if (!v || v=3D=3D"") return;=0A=
if (!_udo || _udo =3D=3D "") {=0A=
_udh=3D_uDomain();=0A=
if (_udn && _udn!=3D"") { _udo=3D" domain=3D"+_udn+";"; }=0A=
}=0A=
if (!_uVG()) return;=0A=
var r=3DMath.round(Math.random() * 2147483647);=0A=
_ubd.cookie=3D"__utmv=3D"+_udh+"."+_uES(v)+"; path=3D"+_utcp+"; =
expires=3D"+_uNx()+";"+_udo;=0A=
var s=3D"&utmt=3Dvar&utmn=3D"+r;=0A=
if (_usample && _usample !=3D 100) s+=3D"&utmsp=3D"+_uES(_usample);=0A=
if ((_userv=3D=3D0 || _userv=3D=3D2) && _uSP()) {=0A=
var i=3Dnew Image(1,1);=0A=
i.src=3D_ugifpath+"?"+"utmwv=3D"+_uwv+s;=0A=
i.onload=3Dfunction() { _uVoid(); }=0A=
}=0A=
if ((_userv=3D=3D1 || _userv=3D=3D2) && _uSP()) {=0A=
var i2=3Dnew Image(1,1);=0A=
=
i2.src=3D_ugifpath2+"?"+"utmwv=3D"+_uwv+s+"&utmac=3D"+_uacct+"&utmcc=3D"+=
_uGCS();=0A=
i2.onload=3Dfunction() { _uVoid(); }=0A=
}=0A=
}=0A=
function _uGCS() {=0A=
var t,c=3D"",dc=3D_ubd.cookie;=0A=
if ((t=3D_uGC(dc,"__utma=3D"+_udh+".",";"))!=3D"-") =
c+=3D_uES("__utma=3D"+t+";+");=0A=
if ((t=3D_uGC(dc,"__utmx=3D"+_udh,";"))!=3D"-") =
c+=3D_uES("__utmx=3D"+t+";+");=0A=
if ((t=3D_uGC(dc,"__utmz=3D"+_udh+".",";"))!=3D"-") =
c+=3D_uES("__utmz=3D"+t+";+");=0A=
if ((t=3D_uGC(dc,"__utmv=3D"+_udh+".",";"))!=3D"-") =
c+=3D_uES("__utmv=3D"+t+";");=0A=
if (c.charAt(c.length-1)=3D=3D"+") c=3Dc.substring(0,c.length-1);=0A=
return c;=0A=
}=0A=
function _uGC(l,n,s) {=0A=
if (!l || l=3D=3D"" || !n || n=3D=3D"" || !s || s=3D=3D"") return "-";=0A=
var i,i2,i3,c=3D"-";=0A=
i=3Dl.indexOf(n);=0A=
i3=3Dn.indexOf("=3D")+1;=0A=
if (i > -1) {=0A=
i2=3Dl.indexOf(s,i); if (i2 < 0) { i2=3Dl.length; }=0A=
c=3Dl.substring((i+i3),i2);=0A=
}=0A=
return c;=0A=
}=0A=
function _uDomain() {=0A=
if (!_udn || _udn=3D=3D"" || _udn=3D=3D"none") { _udn=3D""; return 1; }=0A=
if (_udn=3D=3D"auto") {=0A=
var d=3D_ubd.domain;=0A=
if (d.substring(0,4)=3D=3D"www.") {=0A=
d=3Dd.substring(4,d.length);=0A=
}=0A=
_udn=3Dd;=0A=
}=0A=
_udn =3D _udn.toLowerCase(); =0A=
if (_uhash=3D=3D"off") return 1;=0A=
return _uHash(_udn);=0A=
}=0A=
function _uHash(d) {=0A=
if (!d || d=3D=3D"") return 1;=0A=
var h=3D0,g=3D0;=0A=
for (var i=3Dd.length-1;i>=3D0;i--) {=0A=
var c=3DparseInt(d.charCodeAt(i));=0A=
h=3D((h << 6) & 0xfffffff) + c + (c << 14);=0A=
if ((g=3Dh & 0xfe00000)!=3D0) h=3D(h ^ (g >> 21));=0A=
}=0A=
return h;=0A=
}=0A=
function _uFixA(c,s,t) {=0A=
if (!c || c=3D=3D"" || !s || s=3D=3D"" || !t || t=3D=3D"") return "-";=0A=
var a=3D_uGC(c,"__utma=3D"+_udh+".",s);=0A=
var lt=3D0,i=3D0;=0A=
if ((i=3Da.lastIndexOf(".")) > 9) {=0A=
_uns=3Da.substring(i+1,a.length);=0A=
_uns=3D(_uns*1)+1;=0A=
a=3Da.substring(0,i);=0A=
if ((i=3Da.lastIndexOf(".")) > 7) {=0A=
lt=3Da.substring(i+1,a.length);=0A=
a=3Da.substring(0,i);=0A=
}=0A=
if ((i=3Da.lastIndexOf(".")) > 5) {=0A=
a=3Da.substring(0,i);=0A=
}=0A=
a+=3D"."+lt+"."+t+"."+_uns;=0A=
}=0A=
return a;=0A=
}=0A=
function _uTrim(s) {=0A=
if (!s || s=3D=3D"") return "";=0A=
while ((s.charAt(0)=3D=3D' ') || (s.charAt(0)=3D=3D'\n') || =
(s.charAt(0,1)=3D=3D'\r')) s=3Ds.substring(1,s.length);=0A=
while ((s.charAt(s.length-1)=3D=3D' ') || =
(s.charAt(s.length-1)=3D=3D'\n') || (s.charAt(s.length-1)=3D=3D'\r')) =
s=3Ds.substring(0,s.length-1);=0A=
return s;=0A=
}=0A=
function _uEC(s) {=0A=
var n=3D"";=0A=
if (!s || s=3D=3D"") return "";=0A=
for (var i=3D0;i0) r=3Da.substring(i+1,i2); else return =
""; =0A=
if ((i=3Da.indexOf(".",i2+1))>0) t=3Da.substring(i2+1,i); else return =
""; =0A=
if (f) {=0A=
return r;=0A=
} else {=0A=
var c=3Dnew =
Array('A','B','C','D','E','F','G','H','J','K','L','M','N','P','R','S','T'=
,'U','V','W','X','Y','Z','1','2','3','4','5','6','7','8','9');=0A=
return =
c[r>>28&m]+c[r>>23&m]+c[r>>18&m]+c[r>>13&m]+"-"+c[r>>8&m]+c[r>>3&m]+c[((r=
&7)<<2)+(t>>30&3)]+c[t>>25&m]+c[t>>20&m]+"-"+c[t>>15&m]+c[t>>10&m]+c[t>>5=
&m]+c[t&m];=0A=
}=0A=
}=0A=
function _uIN(n) {=0A=
if (!n) return false;=0A=
for (var i=3D0;i"9") && (c!=3D".")) return false;=0A=
}=0A=
return true;=0A=
}=0A=
function _uES(s,u) {=0A=
if (typeof(encodeURIComponent) =3D=3D 'function') {=0A=
if (u) return encodeURI(s);=0A=
else return encodeURIComponent(s);=0A=
} else {=0A=
return escape(s);=0A=
}=0A=
}=0A=
function _uUES(s) {=0A=
if (typeof(decodeURIComponent) =3D=3D 'function') {=0A=
return decodeURIComponent(s);=0A=
} else {=0A=
return unescape(s);=0A=
}=0A=
}=0A=
function _uVG() {=0A=
if((_udn.indexOf("www.google.") =3D=3D 0 || _udn.indexOf(".google.") =
=3D=3D 0 || _udn.indexOf("google.") =3D=3D 0) && _utcp=3D=3D'/' && =
_udn.indexOf("google.org")=3D=3D-1) {=0A=
return false;=0A=
}=0A=
return true;=0A=
}=0A=
function _uSP() {=0A=
var s=3D100;=0A=
if (_usample) s=3D_usample;=0A=
if(s>=3D100 || s<=3D0) return true;=0A=
return ((__utmVisitorCode(1)%10000)<(s*100));=0A=
}=0A=
function urchinPathCopy(p){=0A=
var d=3Ddocument,nx,tx,sx,i,c,cs,t,h,o;=0A=
cs=3Dnew Array("a","b","c","v","x","z");=0A=
h=3D_uDomain(); if (_udn && _udn!=3D"") o=3D" domain=3D"+_udn+";";=0A=
nx=3D_uNx()+";";=0A=
tx=3Dnew Date(); tx.setTime(tx.getTime()+(_utimeout*1000));=0A=
tx=3Dtx.toGMTString()+";";=0A=
sx=3Dnew Date(); sx.setTime(sx.getTime()+(_ucto*1000));=0A=
sx=3Dsx.toGMTString()+";";=0A=
for (i=3D0;i<6;i++){=0A=
t=3D" expires=3D";=0A=
if (i=3D=3D1) t+=3Dtx; else if (i=3D=3D2) t=3D""; else if (i=3D=3D5) =
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