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A company faces a stream of obligations over the next 4 years as shown below, where the numbers denote thousands of dollars. Year CF (000)200
A company faces a stream of obligations over the next 4 years as shown below, where the numbers denote thousands of dollars. Year CF (000)200 0 500 300 The spot rate curve is given below: Year 4 10 Spot Rate (%)16.68 7.27 7.81 8.31 8.75 9.16 9.52 9.85 10.15 10.42 The company decides to invest in two bonds (each with face value $1,000) described as follows: Bond 1 is a 4-year 8% coupon bond, and Bond 2 is a 3-year zero-coupon bond (a) Calculate the prices of the two bonds and the obligation. (Keep 2 decimal places, e.gxx.12) Bond 1 Bond 2 Obligation (b) Calculate the quasi-modifed durations for the two bonds and the obligation. (Keep 2 decimal places, e.gxx.12) Bond 1 Bond 2 Obligation: (c) Find a portfolio P1x1 + P2x2, where x1 and x2 denote the number of units of bonds 1 and 2, that has the same present value as the obligation stream and is immunized against a parallel shift in the spot rate curve. (Keep 2 decimal places, e.g xx.12)
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