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1. Suppose your firm has the following liability schedule and the term structure is flat at 3% (EAR). Year Liability (in $B) 5 30 10

1. Suppose your firm has the following liability schedule and the term structure is flat at 3% (EAR).

Year Liability (in $B)

5 30

10 30

a. What is the PV of the liabilities?

b. How does the value of the liability change if rates fall to 2.9%?

c. If you wanted to fund the liability by purchasing a single maturity of zero-coupon bond, what maturity would you choose and how much would you pay?

d. Suppose that the liability is currently only funded with $40B in assets. What do you recommend to do due to the amount of the underfunding increasing due to rates changing?

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