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A 30-year maturity bond making annual coupon payments with acoupon rate of 16.5% has duration of 11.19 years and convexity of180.9. The bond currently sells at a yield to maturity of8%.a. Find the price of the bond if its yield tomaturity falls to 7%. (Do not round intermediatecalculations. Round your answer to 2 decimal places.)Price of the bond $b. What price would be predicted by the durationrule? (Do not round intermediate calculations. Round youranswer to 2 decimal places.)Predicted price $c. What price would be predicted by theduration-with-convexity rule? (Do not round intermediatecalculations. 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 roundintermediate calculations. Round "Duration Rule" to 2 decimalplaces and "Duration-with-Convexity Rule" to 3 decimalplaces.)Percent ErrorYTMDuration RuleDuration-with-Convexity Rule7%%%d-2. What do you conclude about the accuracy ofthe two rules?The duration rule provides more accurate approximations to theactual change in price.The duration-with-convexity rule provides more accurateapproximations to the actual change in price.e-1. Find the price of the bond if it's yieldto maturity rises to 9%. (Do not round intermediatecalculations. Round your answer to 2 decimal places.)Price of the bond $e-2. What price would be predicted by theduration rule? (Do not round intermediate calculations.Round your answer to 2 decimal places.)Predicted price $e-3. What price would be predicted by theduration-with-convexity rule? (Do not round intermediatecalculations. 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 "DurationRule" to 2 decimal places and "Duration-with-Convexity Rule" to 3decimal places.)Percent ErrorYTMDuration RuleDuration-with-Convexity Rule9%%%e-5. Are your conclusions about the accuracy ofthe two rules consistent with parts (a) – (d)?YesNo