Compute the price of a risk-free bond

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1) Compute the price of a risk-free bond with a face value of $ 1,000 that has seven years left to maturity, a coupon rate of 8%, and makes annual interest payments. Assume that it just made a coupon payment (i.e. it has seven annual payments left to make). Also assume that the current term structure of risk-free rates is as follows,

Maturity in years 1 2 3 4 5 6 7

Risk-free yields 3.00% 3.50% 4.00% 4.50% 5.00% 5.50% 6.00%

2) This question illustrates the effects of default risk on a bond's yield to maturity. BBB Corp has a risky bond with face value of $1,000, annual coupon rate of 12%, maturity of 10 years, and an opportunity cost of capital of 9%. If bondholders expect that there is only a 50% chance that they will receive each of the last 5 payments, what is this bonds yield-to-maturity? Enter your answer as a percent without the "%"; round your final answer to two decimals.

3) JAN Corp. will pay a dividend of $2.00 per share one year from now and a dividend of $2.50 per share two years from now. You also expect the stock price to be $30.00 two years from now (immediately after it pays the $2.50 dividend). According to the dividend discount model what should be the price of a share of JAN Corp.'s stock? Assume that JAN Corp.'s annual cost of equity capital is 9.00%. Round your final answer to two decimal places.

4) A share of Scott, Inc.'s common stock is currently priced at $130. Given that Scott, Inc. will pay $5.00 in dividends one year from now and is also expected to have a stock price of $140 one year from now (immediately after it pays the $5.00 dividend). Which of the following is closest to Scott, Inc.'s annual cost of equity capital, dividend yield, and expected capital gains?

Group of answer choices.

a) Cost of equity capital = 11.54%; Dividend yield = 3.85%; Capital gains = 7.69%

b) Cost of equity capital = 15.5%; Dividend yield = 8.5%; Capital gains = 7.00%

c) Cost of equity capital = 7.69%; Dividend yield = 3.85%; Capital gains = 11.54%

d) Cost of equity capital = 20%; Dividend yield = 15%; Capital gains = 5%

Reference no: EM132798417

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