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Basic concepts in Finance

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1.16 At an interest rate of 8% per year, $10,000 today is equivalent to how much (a) 1 year from now and (b) 1 year ago?

1.20 Certain certificates of deposits accumulate interest at 10% per year simple interest. if a company invests $240,000 now in these certificates for the purchase of a new machine 3 years from now, how much will the company have at the end of the 3 year period?

1.38 Identify the following as cash inflows or outflows to Daimler Chrysler: income taxes, loan interest, salvage value, rebates to dealers, sales revenues, accounting services, cost reductions.

1.41 Use the rule of 72 to estimate the time it would take for an initial investment of $10,000 to accumulate to $20,000 at a compound rate of 8% per year.

2.2 The U.S. Border Patrol is considering the purchase of a new helicopter for aerial surveillance of the New Mexico-Texas border with Mexico. A similar helicopter was purchased 4 years ago at a cost of $140,000. At an interest rate of 7% per year, what would be the equivalent value today of that $140,000 expenditure?

2.12 V-Tek systems is a manufacturer of vertical compactors, and it is examining its cash flow requirements for the next 5 years. The company expects to replace office machines and computer equipment a various times over the 5-year planning period. Specifically, the company expects to spend $9000 two years from now, $8000 three years from now, and $5000 five years from now. What is the present worth of the planned expenditures at an interest rate of 10% per year?

2.18 How much money could RTT environmental Services borrow to finance a site reclamation project if it expects revenues of $280,000 per year over a 5-year cleanup period? Expenses associated with the project are expected to be $90,000 per year. Assume the interest rate is 10% per year.

2.32 Income from cardboard recycling at Fort Bliss has been increasing at a constant rate of $1000 in each of the last three years. If this year's income (i.e., end of year 1) is expected to be $4000 and the increased income trend continues through year 5, (a) what will the income be three years from now (i.e., end of year 3) and (b) what is the present worth of the income over that 5-year period at an interest rate of 10% per year?

2.52 An investment of $600,000 increased to $1,000,000 over a 5-year period. What was the rate of return on the investment?

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Solution Preview

Please refer attached file for better clarity of formulas in MS Excel.

Solution:

1.16 At an interest rate of 8% per year, $10,000 today is equivalent to how much
(a) 1 year from now and (b) 1 year ago?

a)Present Value=PV=-10000 (-ve sign indicates cash outflow)
Rate=8%
Periodic Payment=PMT=0
No. of Periods=Nper= 1
Future Value=FV=?
Use FV function in MS Excel to get the value
FV= $10,800.00
Alternate Method: Use of formula
FV=PV*(1+rate)^periods
FV= 10800

b) Present Value=PV=?
Rate=8%
Periodic Payment=PMT=0
No. of Periods=Nper= 1
Future Value=FV=10000
Use PV function in MS Excel to get the value
PV= $9,259.26

Alternate Method: Use of formula
PV=FV/(1+rate)^periods
PV=9259.259259 dollars

1.20 Certain certificates of deposits accumulate interest at 10% per year simple interest.
if a company invests $240,000 now in these certificates for the purchase of a new machine
3 years from now, how much will the company have at the end of the 3 year period?

Solution:
Present Value=PV=-240000 (-ve sign indicates cash outflow)
Rate=10%
Periodic Payment=PMT=0
No. of Periods=Nper= 3
Future Value=FV=?
Use FV function in MS Excel to get the value
FV= $319,440.00
(Assume annual compounding)

Alternate Method: Use of formula
FV=PV*(1+rate)^periods
FV= 319440 dollars

1.38 Identify the following as cash inflows or outflows to Daimler Chrysler: income taxes,
loan interest, salvage value, rebates to dealers, sales revenues, accounting services, cost
reductions

Income Taxes Cash outflow
Loan interest Cash outflow
Salvage Value Cash Inflow
Rebates to dealers Cash outflow
Sales Revenue Cash Inflow
Accounting Services Cash outflow
Cost Reductions Cash Inflow

1.41 Use the rule of ...

Solution Summary

There are 9 problems related to time value of money concepts. Solution to each problem describes the step by step method to find out the value of desired parameter.

$2.19
See Also This Related BrainMass Solution

Multiple choice questions in microeconomics

Please answer by choosing one of the multiple choice answers.

Answer the following

1.Scarcity
1.exists because people have wants that are unlimited relative to the availability of resources to satisfy those wants
2.creates a need for society to allocate goods according to some set of criteria
3.means that society and individuals must make choices
4.exists in all societies
5.all of the above
2.In economics, capital is defined as (Think about the factors of production.)
1.natural resources, such as water, oil, and iron ore
2.the natural, unskilled abilities of people
3.human creations used in the production process
4.money and other financial assets
5.the willingness of business owners to take risks

3.According to the law of comparative advantage, an individual should produce a good if he or she
1.can produce it with the fewest resources
2.has an absolute advantage of producing the good.
3.has the lowest opportunity cost of producing the good regardless of whether it is produced with the fewest resources
4.has the greatest opportunity cost of producing the good regardless of whether it is produced with the fewest resources
5.has the greatest opportunity cost of producing the good and produces it with the fewest resources

4.The effect of a decrease in the price of laptop computers, other things constant, is likely to be best represented by which of the following?
1.a leftward shift of the demand curve.
2.a movement up along the demand curve
3.a rightward shift in the demand curve
4.a movement down along the demand curve
5.a leftward shift in the supply curve

5.Which of the following will not change the demand for movie tickets?
1.a change in the cost of babysitting services
2.a change in the price of movie tickets
3.a change in the quality of television programs
4.a change in the income of movie-goers
5.a change in the number of consumers

6.Which of the following would be most likely to increase the demand for downtown parking in a large city?
1.improved bus service to the downtown area
2.lower downtown parking fees
3.more downtown parking lots
4.more freeways leading to the downtown area
5.a major employer moves to the suburbs

7.Attempts are being made to develop a biodegradable plastic using agricultural produce such as potatoes. If these attempts are successful, what will happen to the equilibrium price and quantity of potatoes? (You may want to relate this question to what has recently happened with corn and ethanol.)
1.Price will increase and quantity decrease.
2.Price will increase and quantity increase.
3.Price will decrease and quantity increase.
4.Price will decrease and quantity decrease.
5.No change in equilibrium and quantity will occur.

8.If an increase in the price of a product from $100 to $200 per unit leads to a decrease in the quantity demanded from 10 to 8 units, then demand is
1.elastic
2.inelastic
3.unit elastic
4.0
5.inferior

9.Two separate groups of people use New York City subways. One group uses them only during rush hour to travel to and from work. The other group uses them only in midday for leisure activity. If New York City wants to increase transit fares with the smallest possible reduction in revenue, for which group should it increase the fare?
1.The rush-hour group because its demand for subway service is more elastic than that of the midday group.
2.The rush-hour group because its demand for subway service is less elastic than that of the midday group.
3.The midday group because its demand for subway service is more elastic than that of the rush-hour group.
4.The midday group because its demand for subway service is less elastic than that of the rush-hour group.
5.It doesn't matter because both groups have the same elasticity of demand.

10.As price falls along a given demand curve for pretzels,
1.quantity demanded, total utility, marginal utility, and consumer surplus increase; consumer expenditure decreases.
2.quantity demanded, total utility, and consumer surplus increase; marginal utility and consumer surplus decrease
3.quantity demanded, total utility, consumer surplus, and consumer expenditure increase; marginal utility decreases
4.quantity demanded, total utility, and consumer surplus increase; marginal utility decreases; consumer expenditure might increase, decrease, or remain constant
5.quantity demanded, total utility, marginal utility, consumer surplus, and consumer expenditure all increase

11.Suppose a lawyer leaves his $70,000-a-year job and starts his own firm breeding pit bulls. In the first year, his accounting profits are $90,000. The lawyer finances his new business with $100,000 from his savings account, which had earned 10 percent interest. If this is all of the implicit and explicit revenues and costs his economic profit is
1.$10,000
2.$60,000
3.$70,000
4.-$80,000
5.-$90,000

12.Farmer Fanny sells her crops in a perfectly competitive market. If she produces 500 bushels for total revenue of $3,000 and if harvesting the 501st bushel would raise her total cost from $2,500 to $2,510, her
1.revenue will increase by $4 if she harvests the 501st bushel
2.revenue will fall by $4 if she harvests the 501st bushel
3.average fixed cost will rise if she harvests the 501st bushel
4.profit will fall by $10 if she harvests the 501st bushel
5.profit will fall by $4 if she harvests the 501st bushel

13.What is true at the profit-maximizing quantity for a nondiscriminating monopolist but not true of a perfectly competitive firm?
1.Price equals marginal cost.
2.Price is greater than marginal cost.
3.Marginal revenue equals marginal cost.
4.Marginal revenue is less than marginal cost.
5.Marginal revenue is greater than average revenue.

14.Which of the following is common to all market structures?
1.All of the following are correct.
2.Each firm must be able to earn sufficient revenue to cover its variable cost in order to continue producing in the short run.
3.The demand curve for the firm's output and the firm's average revenue curve are the same.
4.If it can earn a profit, the firm should increase production as long as marginal revenue exceeds marginal cost.
5.Each firm must be able to earn sufficient revenue to cover its total cost in order to continue operating in the long run.

15.Which of the following could explain an increase in demand for labor? (Think about our discussions of human capital.)
1.additional training that increases the productivity of each unit of labor in this market
2.an increase in the amount of risk associated with this job
3.a decrease in the amount of risk associated with this job
4.an improvement in the working conditions associated with this job
5.a decline in the working conditions associated with this job

16.Which of the following affects the interest rate on a loan?
1.all of the following
2.the duration of the loan
3.the tax treatment of the loan
4.the administrative cost of the loan
5.the risk of default on the loan

17.The marginal social cost of air quality increases as air quality decreases. If the dirtiest production process would create 700 tons of pollutants, then
1.eliminating the first 20 tons of pollution is cheaper than eliminating the last 20 tons.
2.eliminating the last 20 tons of pollution is cheaper than eliminating the first 20 tons.
3.more damage will be done by the first 20 tons of pollution than by the last 20 tons
4.twice as much damage will be done by the last 20 tons of pollution than by the first 20 tons
5.the optimal level of air quality is to reduce polluting by 700 tons

18.Which of the following is a positive externality of consumption?
1.Inoculations against a disease reduce the likelihood of transmitting it to others
2.Phosphates from laundry detergents
3.Litter from fast-food containers
4.Ozone depletion from the production of fast-food containers
5.The greenhouse effect

19.Which of the following best expresses the benefit from international trade?
1.With trade, each country can concentrate on producing those goods and services where it has a comparative advantage.
2.With trade, a country can increase its political involvement on a global scale.
3.Increased U.S. trade will improve high-tech exports but not agricultural exports.
4.Increased trade will increase U.S. exports and decrease U.S. imports.
5.Increased trade implies that exports of goods and services will always equal imports of goods and services.

20.Over the last 20 years, in countries around the world (Recent events in the US may lead you to think differently but if you agree with the e-text and look world statistics the answer is a. I hope you have discovered from this class the positive relationship between economic freedom and growth.)
1.markets are replacing central planning
2.central planning is replacing capitalist market coordination
3.economic systems are stable and unchanging
4.all countries employ the same system of resource ownership, resource allocation, and incentives to answer the basic economic questions
5.none of the above

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