question archive 1) A company's stock will pay a dividend of $10 next year
Subject:FinancePrice:2.86 Bought3
1) A company's stock will pay a dividend of $10 next year. Dividends will grow at a constant rate of 10% indefinitely and the expected return on stock is 12.237%. Consider a bond that has the same price as the stock. If this bond has a coupon rate of 1% and a YTM of 10%, what is the maturity of the bond?
2. A company is considering the purchase of a new printer. It can purchase the printer for $900 and sell its current printer for $300 today. The new printer will last for 6 years and save $200 a year in expenses. The opportunity cost of capital is 15%, and the firm's tax rate is 40%. If the firm uses straight line-depreciation to a salvage value of zero over a six year life, what are project's cash flows and NPV? Should the company purchase the new printer?
3. You are evaluating a project that costs $1,500,000; has a six-year life. Assume that depreciation is straight line to zero over the life of the project. Sales are projected at 81,000 units per year. Price per unit is $34.50; variable cost per unit is $20.50; and fixed costs are $700,000 per year. The tax rate is 35%, and you require an 12% return on this project. a. Calculate the base-case cash flow and NPV. b. What is the sensitivity of NPV to a 1000 unit decrease in projected sales?
1.
Next Year dividend D1 = $10
Dividend growth rate = 10%
Required return r = 12.237%
Price of the stock = D1 / (r - g) = 10 / (0.12237 - 0.1) = $447.02
Price of the bond PV = $447.02
Face value = $1000
Annual coupon = 1,000 x 1% = $10
Yield = 10%
PV = P x [1 - (1 + r)-n] / r + FV x (1 + r)-n
447.02 = 10 x [1 - (1.1)-n ] / 0.1 + 1000 x 1.1-n
447.02 = 100 - 100 x 1.1-n + 1000 x 1.1-n
347.02 = 1.1-n x (1000 - 100)
1.1-n = 337.02 / 900
1.1n = 900 / 337.02 = 2.59346
n x ln(1.1) = ln(2.59346)
n = 9.9988 or 10 years