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Question 21 Here are some bond information: Bond coupon% Maturity(year) Yield to Maturity (%) 1 5 1 4.5 2 5 2 5 3 0 3

Question 21 Here are some bond information:

Bond coupon% Maturity(year) Yield to Maturity (%)
1 5 1 4.5
2 5 2 5
3 0 3 5.5

Coupons are paid annually. a) Please price a bond with 5% coupon rate and 3 year time to maturity b) Please calculate the modified duration of a portfolio investing 30% in bond 1 and 70% in bond 3 c) The yield curve just shifted up by 0.15%. How much did the value of the portfolio in question b change?

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