How would you construct your portfolio

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Your company asks you to manage a short-term guaranteed investment contract. Your job is to create a portfolio that has a 4-year duration.

(a) If you are given the choice of using a 5-year zero coupon bond and a 3-year 8% annual coupon bond with a yield to maturity of 10%, how would you construct your portfolio?

(b) What is the modified duration of that 3-year annual coupon bond in (a)? If the yield to maturity of that 3-year annual coupon bond decreases to 8.045%, how much percentage change in price would you expect to see using modified duration?

(c) Later you are moved to another department inside your company, and now you are maintaining a money market trading desk. In your portfolio, you have a 25-year maturity, 10% coupon, 10% yield bond with a duration of 10 years and a convexity of 135.5. If the interest rate were to fall 125 basis points due to Fed’s policy change, what is your predicted new price for the bond (including convexity)?

Reference no: EM132030448

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