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A bond portfolio consists of two bonds. There is a 10-year zero coupon bond with a yield of 5% (continuously compounded). And there is a six-month zero-coupon bond with the same yield. The principal of each bond is $100.
(a) What are the portfolio's duration and convexity?
(b) Use the duration and convexity to approximate the change on the bond portfolio value when there is a 1% decrease in the yield.
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