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A 30-year maturity bond making annual coupon payments with a coupon rate of 14.5% has duration of 11.32 years and convexity of 185.2. The oond
A 30-year maturity bond making annual coupon payments with a coupon rate of 14.5% has duration of 11.32 years and convexity of 185.2. The oond 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 $1930.68 b. What price would be predicted by the duration rule? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Predicted price $ 1913.27 . 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 $ 1929.31 1-1. 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 Duration-with- 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 Duration-with- Duration Rule Convexity Rule % YTM 9% % e-5. Are your conclusions about the accuracy of the two rules consistent with parts (a)-(d)? O Yes O No Check m Ilva LULULL ILUEIL VUYLARLY ILLIL 7% -0.90 % -0.071 % 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. 2 decimal 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 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
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