Problem 3. Suppose the yield curve is flat at 4%, and you bought 100 4-year, 2% coupon bonds

with faces of $1,000, exposing you to IR risk.

(a) Whats the bonds convexity?

(b) What is the approximate price change if yield is 5%?

(c) Suppose you have 5 and 7 year zeros available. How would you hedge duration and convex-

ity?

(d) What happens to the portfolio if yield goes to 5%