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Interest Rate Risk:

Consider a 10-year zero coupon bond.

A. Using the bond pricing equation, P(y), illustrate the derivation (using calculus) of this bond's modified duration. Note: the correct answer is an equation, not a number.

B. Assuming the yield-to-maturity is 7%, compute the bond's modified duration.

C. Use your answer to part B to estimate the price of the bond and the percentage price change if

interest rates instantaneously rise to 8%.

D. Use your answer to part B to estimate the price of the bond and the percentage price change if

interest rates instantaneously decline to 6%.

E. How do the estimates from C. and D. compare to the true prices using the bond pricing

equation P(y) if yields change to 8% and 6%? Is the estimate more accurate for part C. or D., and why?

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Basic Finance, Finance

Category:- Basic Finance
Reference No.:- M91251824

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