Accounting Problem Set #2 Questions
Problem Set #2 - Questions
1. A bond has an annual 8 percent coupon rate, a maturity of 10 years, a face value of $1,000, and makes semiannual payments. If the price is $934.96, what is the annual nominal yield to maturity on the bond?
2. Which of the following Treasury bonds will have the largest amount of interest rate risk (price risk)?
3. Assume that you want to purchase a 10-year bond, with an annual coupon rate of 13%, a face value of $100 and semiannual interest payments. If the market interest rate is 9%, what is the maximum price you would pay for the bond?
4. What is the YTM of the following bond?
Bond pays semi-annual coupons
Price = $95.46
Par = $100
Bond matures in 6 years and pays 2 coupon payments per year
Coupon = $5.25
5. A share of common stock has just paid a dividend of $2.50 and will pay a dividend with a growth rate of 5% each year for years 1-3. After year 3, the dividend will increase at a constant rate of 6%. If investors require a 13% rate of return, what is the price of the stock?
6. Multiple part question:
Starline Corporation is estimating its WACC. Its target capital structure is 30 percent debt and 70 percent common equity. Its bonds have a 11 percent coupon, paid semiannually, a current maturity of 10 years, and sell for $90. Starline’s beta is .7, the risk-free rate is 5 percent, and the market risk premium is 8 percent. Starline is growing its dividend at growth rate of 6% a year for years 1-2, and just paid a dividend of $2.00. It expects to pay a dividend that grows at 6% after year 2. The stock sells for $30.00 per share, and has a growth rate of 9 percent. The firm's policy is to use a risk premium of 4 percentage points when using the bond-yield-plus-risk-premium method to find R(E). The firm's marginal tax rate is 40 percent.
a. What is Starline’s component cost of debt?
b. What is Starline’s cost of common stock using the CAPM approach?
c. What is Starline’s cost of common stock using the DCF (dividend discount model approach discussed in class) approach?
d. What is the firm’s WACC (use an average of the DCF and the CAPM for cost of equity – as shown below)
RE = 11.83%
7. A company has determined that its optimal capital structure consists of 40 percent debt and 60 percent equity. Given the following information, calculate the firm's weighted average cost of capital.
RD = 6%
Tax rate = 40%
P0 = $25
Growth = 0%
D0 = $2.00
8. You check The Wall Street Journal and see that CGT stock is currently selling for $7.50 per share and that CGT bonds are selling for $88.95 per bond. These bonds have a 7.25 percent annual coupon rate, with semi-annual payments. The bonds mature in twenty years. The beta for your company is approximately equal to 1.1. The yield on a 6-month Treasury bill is 3.5 percent and the yield on a 20-year Treasury bond is 5.5 percent. The expected return on the stock market is 11.5 percent, but the stock market has had an average annual return of 14.5 percent during the past five years. CGT is in the 40 percent tax bracket.
What is best estimate for the after-tax cost of debt for CGT?
9. Two projects being considered by a firm are mutually exclusive and have the following projected cash flows:
Project A Project B
Year Cash Flow Cash Flow
0 ($100,000) ($100,000)
1 39,500 0
2 39,500 0
3 39,500 133,000
Based only on the information given, which of the two projects would be preferred, and why?
10. King Racing Company (KRC) is considering which of two mutually exclusive engine development projects to pursue. King's RPX design has an expected life of 4 years and projected cash inflows are $3.6 million at the end of each of the first two years and $1.8 million in each of the next two years. King's RPB design is more flexible and has an eight-year life. The projected end-of-year flows from the RPB design are $2.4 million in each of the first two years and $2.0 million in each of the next six years. Both projects require an initial investment of $5.4 million, and King's cost of capital is 12 percent. Frequent changes in racing rules and engine technology make engine development risky, but King feels that the basic designs can be refined and modified. Thus, King often assumes that continuous replacements can be made as a project's life ends. What is the net present value (on an eight-year extended basis) of the project with the most value to the company?
11. Returns on the market and Dell’s stock during the last 3 years are shown below:
Year Market Dell
2004 22% 36%
2003 10% 13%
2002 -24% -22%
You have calculated beta and it is 1.21109
The risk-free rate is 5 percent, and the required return on the market is 11 percent. You are considering a low-risk project whose market beta is 0.5 less than the company's overall corporate beta. You finance only with equity, all of which comes from retained earnings. The project has a cost of $500 million, and it is expected to provide cash flows of $100 million per year at the end of Years 1 through 5 and then $50 million per year at the end of Years 6 through 10. What is the project's NPV (in millions of dollars)?
12. A company is analyzing two mutually exclusive projects, S and L, whose cash flows are shown below:
The company's cost of capital is 12 percent, and it can get an unlimited amount of capital at that cost. What is the NPV of the better project?
Machine A Machine B
Year Cash Flow Cash Flow
0 -$2,000 -$2,000
1 0 832
2 0 832
3 0 832
4 3,877 832
What is the internal rate of return for each machine?
a. IRR(A) = 16%; IRR(B) = 20%
b. IRR(A) = 24%; IRR(B) = 20%
c. IRR(A) = 18%; IRR(B) = 16%
d. IRR(A) = 18%; IRR(B) = 24%
e. IRR(A) = 24%; IRR(B) = 26%
14. Toya Motors needs a new machine for production of its new models. The financial vice president has appointed you to do the capital budgeting analysis. You have identified two different machines that are capable of performing the job. You have completed the cash flow analysis, and the expected net cash flows are as follows:
Expected Net Cash Flows
Year Machine B Machine O
0 ($5,000) ($5,000)
1 2,085 0
2 2,085 0
3 2,085 0
4 2,085 0
5 2,085 9,677
What is the payback period for Machine B?