In: Finance
A 30-year maturity bond making annual coupon payments with a coupon rate of 12% has duration of 11.54 years and convexity of 190.8. The bond currently sells at a yield to maturity of 8%. |
Required: | |
(a) |
Find the price of the bond if its yield to maturity falls to 7% or rises to 9%. (Round your answers to 2 decimal places. Omit the "$" sign in your response.) |
Yield to maturity of 7% | $ |
Yield to maturity of 9% | $ |
(b) |
What prices for the bond at these new yields would be predicted by the duration rule and the duration-with-convexity rule?(Round your answers to 2 decimal places. Omit the "$" sign in your response.) |
Duration rule | Duration-with- convexity rule |
|
YTM falls to 7% | $ | $ |
YTM increases to 9% | $ | $ |
(c) | What is the percent error for each rule? (Round your answers to 3 decimal places. Omit the "%" sign in your response.) |
Duration rule | Duration-with- convexity rule |
|
Percent error for 7% YTM | % | % |
Percent error for 9% YTM | % | % |
(d) | What do you conclude about the accuracy of the two rules? |
(Click to
select) 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.