Suppose that your firm's liability is approximately: Year Liability (in $B) 5 1 10 2 20 3 and the term structure is flat at 3% (EAR). What is PV of the liabilities? How does the value of the liability change if rates fall to 2.9%? 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 buy? Suppose that the liability is currently only funded with $50B in assets. What do you recommend holding so that you do not risk the amount of underfunding increasing due to rates changing