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B16. (Interest-rate risk) Philadelphia Electric has many bonds tradingon the New

ID: 2662094 • Letter: B

Question

B16.

(Interest-rate risk) Philadelphia Electric has many bonds tradingon the New York Stock Exchange. Suppose PhilEl’s bonds haveidentical coupon rates of 9.125% but that one issue matures in 1year, one in 7 years, and the third in 15 years. Assume that acoupon payment was made yesterday.

B16.

(Interest-rate risk) Philadelphia Electric has many bonds tradingon the New York Stock Exchange. Suppose PhilEl’s bonds haveidentical coupon rates of 9.125% but that one issue matures in 1year, one in 7 years, and the third in 15 years. Assume that acoupon payment was made yesterday.

  1. If the yield to maturity for all three bonds is 8%, what is thefair price of each bond?
  2. Suppose that the yield to maturity for all of these bonds changedinstantaneously to 7%. What is the fair price of each bondnow?
  3. Suppose that the yield to maturity for all of these bonds changedinstantaneously again, this time to 9%. Now what is the fair priceof each bond?
  4. Based on the fair prices at the various yields to maturity, isinterest-rate risk the same, higher, or lower for longer-versusshorter-maturity bonds?

Explanation / Answer

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