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A $1,000 face value bond has a coupon of 4% (paid annually) and will mature 17 years from today?
A. Assume that the yield-to-maturity is 4.5%. What is the bond's:
i. Duration
$40 *
ii. Modified Duration
B. Assume that the bond's yield-to-maturity immediately changes from 4.5% to 3.5% (the bond still has 17 years to maturity).
i. Estimate the % change in the bond's price using modified duration
ii. What is actual bond price (at YTM = 3.5%), and the % price change (from YTM = 4.5% to 3.5%)?
iii. Why is there a (large) difference between the actual and estimated % price changes in this case?
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