1. You are
managing a portfolio of 10 stocks which are held in equal amounts. The current
beta of the portfolio is 1.64, and the beta of stock A is 2.0. If stock A is
sold, what would the beta of the replacement stock have to be to produce a new
portfolio beta of 1.55?
2.
In order to accurately assess the capital structure of a firm, it is necessary
to convert its balance sheet figures to a market value basis. KJM Corporation's
balance sheet as of today, January 1, 2005, is as follows:
|
Long-term
Debt (bonds, at par) |
$ 10,000,000 |
|
Preferred
Stock |
2,000,000 |
|
Common
Stock ($10 par) |
10,000,000 |
|
Retained
Earnings |
4,000,000 |
|
Total
Debt and Equity |
$ 26,000,000 |
The
bonds have a 4 percent coupon rate, payable semiannually, and a par value of $1,000.
They mature on January 1, 2011. The yield-to-maturiy is 12 percent, so the
bonds now sell below par. What is the current market value of the firm's debt?
3.
Genuine Products Inc. requires a new machine. Two companies have submitted bids,
and you have been assigned the task of choosing one of the machines. The
company's cost of capital is 20 percent. Cash flow analysis indicates the
following:
|
Year |
Machine A |
Machine B |
|
0 |
-$2,000 |
-$2,000 |
|
1 |
0 |
832 |
|
2 |
0 |
832 |
|
3 |
0 |
832 |
|
4 |
3,877 |
832 |
|
|
|
|
4.
The lower the firm's tax rate, the lower will be the firm's after tax cost of
debt and WACC, other things held constant. Explain whether you agree or
disagree. Disagree if the firm’s tax rate declines, the part of cost of debt paid
by government will decline; after tax cost of debt will increase. As a result
WACC will increase.
5. The Textbook
Production Company has been hit hard due to increased competition. The
company’s analysts predict that earnings (and dividends) will decline at a rate
of 5 percent annually forever. Assume that ks
= 11 percent and D0 = $2.00.
a.
How much should you be willing to pay for this
security? $11.875
b.
If the current market price of this security is $
9.50, what type of action will you take? BUY
c.
Suppose that you purchased this security and hold
it for three years. At what price do you expect to sell this security three
years from now? $10.18
6. Ileri Computer has 10 percent coupon bond
on the market with 15 years to maturity with a par value of $1,000. The bond makes semi-annual interest
payments. The required rate of return on
this bond is 12% per year.
a. Calculate the current market value of this bond. $862.35
b. Find the current yield of the bond. 11.60%
c. If next year’s rate of inflation is lower
than expected, briefly discuss what
you would expect to happen to the price of the bond and why. Market interest rates will decline. Value
of bond will increase since present value of future cash flows increases.
7. (16 points) Dumb and Dumber Development Company
has two mutually exclusive projects to evaluate. Assume both projects can be
repeated indefinitely. The following cash flows are associated with each
project:
|
Period |
Project A Cash Flows |
Project B Cash Flows |
|
0 |
-$100,000 |
- $70,000 |
|
1 |
30,000 |
30,000 |
|
2 |
50,000 |
30,000 |
|
3 |
70,000 |
30,000 |
|
4 |
|
30,000 |
|
5 |
|
10,000 |
The
project types are equally risky and the firm's cost of capital is 12 percent.
If the firm evaluates projects using equivalent annual annuity (EAA), which
project should be selected?