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Consider three bonds with 6.40% coupon rates

Question

Consider three bonds with 6.40% coupon rates, all making annual coupon payments and all selling at face value. The

short-term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years.

a. What will be the price of the 4-year bond if its yield increases to 7.40%? (Round answers to 2 decimal places)

b. What will be the price of the 8-year bond if its yield increases to 7.40%? (Round answers to 2 decimal places) 

c. What will be the price of the 30-year bond if its yield increases to 7.40%? (Round answers to 2 decimal places) 

d. What will be the price of the 4-year bond if its yield decreases to 5.40%? (Round answers to 2 decimal places) 

e. What will be the price of the 8-year bond if its yield decreases to 5.40%? (Round answers to 2 decimal places) 

f.What will be the price of the 30-year bond if its yield decreases to 5.40%? (Round answers to 2 decimal places) 

a. Several years ago, Castles in the Sand Inc. issued bonds at face value of $1,000 at a yield to maturity of 6.2%. Now, with 6 years left until the maturity of the bonds, the company has run into hard times and the yield to maturity on the bonds has increased to 15%. What is the price of the bond now? (Assume semiannual coupon payments.)

Round your answers to 2 decimal places

b. Suppose that investors believe that Castles can make good on the promised coupon payments but that the company will go bankrupt when the bond matures and the principal comes due. The expectation is that investors will receive only 90% of face value at maturity. If they buy the bond today, what yield to maturity do they expect to receive? (Enter your answers as a percentage rounded to 2 decimal places)

 
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