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PLEASE SHOW STEP BY STEP CALCULATIONS AND SOULTION. THANK YOU 2) a. What is the duration of a 5-year 8% annual coupon bond with a

PLEASE SHOW STEP BY STEP CALCULATIONS AND SOULTION. THANK YOU

2) a. What is the duration of a 5-year 8% annual coupon bond with a par value of $100 if the prevailing continuously compounded interest rate is 10%?

b. What is the duration of a 5-year 12% annual coupon bond with a par value of $100 if the prevailing continuously compounded interest rate is 10%? What does this tell you about the relationship between coupon rates and duration? Comment.

c. What is the duration of a 5-year 8% annual coupon bond with a par value of $100 if the prevailing continuously compounded interest rate is 12%? What does this tell you about the relationship between interest rates and duration? Comment.

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