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Homework answers / question archive / 1) What is the coupon of a bond selling at par having in mind that interest rates are fixed at 9 percent? (10 points) 2) What is the maximum price of a fixed-coupon bond paying every three months with a coupon rate of 8 percent, interest rate of 15 percent, and a maturity of five years

1) What is the coupon of a bond selling at par having in mind that interest rates are fixed at 9 percent? (10 points) 2) What is the maximum price of a fixed-coupon bond paying every three months with a coupon rate of 8 percent, interest rate of 15 percent, and a maturity of five years

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1) What is the coupon of a bond selling at par having in mind that interest rates are fixed at 9 percent? (10 points) 2) What is the maximum price of a fixed-coupon bond paying every three months with a coupon rate of 8 percent, interest rate of 15 percent, and a maturity of five years. (15 points) 3) What is the coupon rate of a consol bought at 800 USD knowing that interest rate is 10 percent? (10 points) COMMON STOCKS 1) What would be your maximum investment on a corporate stock with the following information (15 points): Dividend just paid is 15 USD Dividend paid after one year is 25 USD during 3 years Dividend paid starting year 4 is 35 USD Interest rate is 10 percent 2) How much would you expect as dividend in height years from now if you have just been paid 5 USD as dividend and you know that dividends are expected to grow at a constant rate of 10 percent, and interest rate is 15 percent? (10 points) 3) How much would you pay on a stock knowing that the first dividend will be 14 USD expected to grow at 5 percent and the next dividend will be paid four years from now expected to grow at 6 percent per year forever. Interest rate is 12 percent.

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You have asked two unrelated sets of questions in the same post. As if the same was not enough, each set of yours have multiple sub parts as well. I have addressed all the questions in the first set. Please post the balance questions, separately, one by one. Please don't down vote just because I have answered only one set of questions.

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I have assumed face value = par value of the bond to be $ 1,000 wherever necessary.

1) Since it's a par bond, coupon rate = yield = interest rate = 9%

Hence, its annual coupon will be = Coupon rate x Par value = 9% x 1,000 = 90

2) Rate = interest rate per period of 3 months = 15% / 4 = 3.75%;

PMT = Coupon per period = 1,000 x 8% / 4 = 20

Nper = 4 x 5 = 20

Price = - PV(Rate, Nper, PMT, FV) = - PV(3.75%, 20, 20, 1000) = 756.82

3) Price of a consol = Annual coupon / interest rate

Hence, 800 = Annual coupon / 10%

Hence, Annual coupon = 10% x 800 = 80

Hence, coupon rate = Annual coupon / Par value = 80/1,000 = 8%