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 15.5% has duration of 9.96 years and convexity of 144.6. The bond

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.)

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 = 9%

Duration Rule: _____%

Duration-with-Convexity Rule: _____%

d-2.What do you conclude about the accuracy of the two rules? (A or B)

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

b. 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 11%.(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 = 11% Duration Rule: ____%

Duration-with-Convexity Rule: _____%

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: 3

blur-text-image

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

Financial Management Core Concepts

Authors: Raymond M Brooks

3rd edition

133866696, 978-0133866698

More Books

Students also viewed these Finance questions