Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A 30-year maturity bond making annual coupon payments with a coupon rate of 16.5% has duration of 11.19 years and convexity of 180.9. The bond

A 30-year maturity bond making annual coupon payments with a coupon rate of 16.5% has duration of 11.19 years and convexity of 180.9. The bond currently sells at a yield to maturity of 8%.

a. Find the price of the bond if its yield to maturity falls to 7%. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Price of the bond $

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

Predicted price $

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

Predicted price $

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.)

Percent Error
YTM Duration Rule Duration-with- Convexity Rule
7% % %

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

The duration rule provides more accurate approximations to the actual change in price.
The duration-with-convexity 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 9%. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Price of the bond $

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

Predicted price $

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.)

Predicted price $

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.)

Percent Error
YTM Duration Rule Duration-with- Convexity Rule
9% % %

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

Yes
No

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_step_2

Step: 3

blur-text-image_step3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

More Books

Students also viewed these Finance questions