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A 30-year maturity bond making annual coupon payments with a coupon rate of 15.5% has duration of 11.25 years and convexity of 182.9. The bond

A 30-year maturity bond making annual coupon payments with a coupon rate of 15.5% has duration of 11.25 years and convexity of 182.9. 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% or rises to 9%. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

YTM Price
7% $
9% $

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
7% $ $
9% $ $

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
7% % %
9% % %

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.

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