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A 30-year maturity bond making annual coupon payments with a coupon rate of 16.0% has duration of 10.55 years and convexity of XXXXXXXXXXThe bond currently sells at a yield to maturity of 9%. a. Find...

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A 30-year maturity bond making annual coupon payments with a coupon rate of 16.0% has duration of 10.55 years and convexity of XXXXXXXXXXThe bond currently sells at a yield to maturity of 9%.


a.

Find the price of the bond if its yield to maturity falls to 8% or rises to 10%. (Do not round intermediate calculations. Round your answers to 2 decimal places.)


YTM Price
8% $
10% $

b.

What prices for the bond at these new yields would be predicted by the duration rule and the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.)


YTM Duration Rule Duration-with-
Convexity Rule
8% $ $
10% $ $

c.

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
8% % %
10% % %

d. 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.
Answered Same Day Dec 24, 2021

Solution

Robert answered on Dec 24 2021
132 Votes
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