Question

A 30-year maturity bond making annual coupon payments with a coupon rate of 15.5% has duration of 9.96 years and convexity of 144.6. The bond currently sells at a yield to maturity of 10%.

a. Find the price of the bond if its yield to maturity falls to 9%. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

b. What price would be predicted by the duration rule? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

c. What price would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

d-1. What is the percent error for each rule? (Enter your answer as a positive value. Do not round intermediate calculations. Round "Duration Rule" to 2 decimal places and "Duration-with-Convexity Rule" to 3 decimal places.)

d-2. What do you conclude about the accuracy of the two rules?

• The duration-with-convexity rule provides more accurate approximations to the actual change in price.

• The duration rule provides more accurate approximations to the actual change in price.

e-1. Find the price of the bond if it's yield to maturity rises to 11%. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

e-2. What price would be predicted by the duration rule? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

e-3. What price would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

e-4. What is the percent error for each rule? (Do not round intermediate calculations. Round "Duration Rule" to 2 decimal places and "Duration-with-Convexity Rule" to 3 decimal places.)

e-5. Are your conclusions about the accuracy of the two rules consistent with parts (a) – (d)?

• Yes

• No

Answer 1

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