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Suppose that an insurance company sells a guaranteed investment contract ( GIC ) to make a $ 7 , 3 0 0 , 0 0

Suppose that an insurance company sells a guaranteed investment contract (GIC) to make a $7,300,000 lump-sum payment in 3 years. The company wishes to construct a portfolio of assets to cover this single liability, such that it is immunized against interest rate risk right now. The company is considering investing in two bonds: (1) a 2-year Treasury bond with a face value of $1,000 and an annual coupon rate of 3.25% and (2) a 4-year Treasury bond with a face value of $1,000 and an annual coupon rate of 4.25%. Both bonds make 2(semi-annual) coupon payments per year. Thus they have 4 periods until maturity and 8 periods until maturity, respectively. The current yield on all bonds is 3.17%. How many 2-year and 4-year Treasury bonds should the insurance company buy in order to fully fund the liability and be immunized against interest rate risk right now?

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