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# Finance: Annuity Review Questions

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What are the monthly mortgage payments on a 30-year loan for
\$150,000 at 12%?

You have two assets in your portfolio: a stock mutual fund with a
beta of 1.20 and U.S. Treasury securities (assume they are risk free).
What is the beta for your portfolio if 40% of your funds are invested
in the treasury securities?

Find the beta of a portfolio of three stocks. One third of the portfolio
is invested in each of the three stocks. The stocks and their betas
are as follows: Mallmart - beta 1.10, Peak Power - beta 0.85 and
MicroEase - beta 1.40

What is an investment worth that promises to return \$10,000 per
year, given a required rate of return of 15%, if the benefits are
expected for 10 years?

What will a deposit of \$4,500 at 12% compounded monthly be worth
at the end of 10 years?

How long does it take for \$5,000 to grow into \$6,742.44 at
10% compounded quarterly?

How much must you deposit at the end of each year in an account
that pays a annual rate of 20 percent, if at the end of 5 years you
want \$10,000 in the account?

What interest rate would you need to get to have an annuity of
\$7,500 per year accumulate to \$279,600 in 15 years

What would you pay for an annuity of \$2,000 paid every six months
for 12 years if you could invest your money elsewhere at 10%
compounded semiannually?

Thirty years ago Jesse Jones bought 10 acres of land for \$1,000
per acre in what is now downtown Houston. If this land grew in
value at an 8 percent per annum rate, what is it worth today?

A \$10,000 car loan has payments of \$361.52 per month for three
years. What is the interest rate? Assume monthly compounding
and give the answer in terms of an annual rate.

Find the present value of \$1,000 to be received at the end of 2 years
at 12% compounded quarterly?

#### Solution Preview

Please check the attached word document for a better formatted solution

Thank you

1)

Periods = 360 (30 years times 12 months)
Monthly Interest Rate = 12% divided by 12 months = 1%

C = \$1,542.92

2 & 3)

To calculate the Beta of a portfolio:

(&#61538;security A × Weight )+ (&#61538;securityB × weight)

4)

5)

t = ...

#### Solution Summary

The solution includes a word and an excel sheet that show in steps how to calculate the payments on a loan, the beta of a portfolio, present and future values of investments

\$2.19