Question: Duration problem I A bond makes annual coupon payments at rate 5 % , there are three remaining coupon payments, and yield to maturity is

Duration problem I
A bond makes annual coupon payments at rate 5%, there are three remaining coupon
payments, and yield to maturity is 8%.
(a) What is duration of the bond?
(b) Suppose the yield suddenly drops to 6%. How large is the change in the bond price
according to duration?
Duration problem II
Consider a perpetuity with annual coupon rate C=50.
(a) If the interest rate is 5%, what is the bond price?
(b) What is duration at 5% interest?
(c) If the interest rate increases by one percentage point (from 5% to 6%), exactly how
large is the change in the bond price?
(d) If the interest rate increases by one percentage point (from 5% to 6%), how large is
the change in the bond price using duration to approximate the price change?
 Duration problem I A bond makes annual coupon payments at rate

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