Question: 6) Given two zero coupon bonds each with face value 100. (Redeemed at 100 at maturity) Bond 1 is a 5-year bond with price 81.87

 6) Given two zero coupon bonds each with face value 100.

6) Given two zero coupon bonds each with face value 100. (Redeemed at 100 at maturity) Bond 1 is a 5-year bond with price 81.87 Bond 2 is a 10-year bond with price 60.65 a) What are the zero rates for Bond 1 and Bond 2 (State in annual compounding)? b) What is the duration and convexity of Bond 1 and Bond 2? c) How many units of Bond 1 are needed to duration hedge one unit of Bond 2? d) What is the change in value of the duration matched portfolio if all rates rise 3%

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