Answers and Solutions: 23 – 5
SOLUTIONS TO END-OF-CHAPTER PROBLEMS
23-1 If Zhao issues fixed rate debt and then swaps, its net cash flows will be: −7% + 6.8% −
LIBOR = −(LIBOR + 0.2%).
23-3 Futures contract settled at 100 16/32% of $100,000 contract value, so PV = 1.005
$1,000 = $1,005 100 bonds = $100,500. Using a financial calculator, we can solve for
rd as follows:
N = 40; PV = -1005; PMT = 30; FV = 1000; solve for I = rd = 2.9784% 2 = 5.9569%
5.96%.
If interest rates increase to 6.9569%, then we would solve for PV as follows: N = 40; I =
6.9569/2 = 3.47845; PMT = 30; FV = 1000; solve for PV = $897.4842 100 =
$89,748.42. Thus, the contract’s value has decreased from $100,500 to $89,748.42.
23-5 a. In this situation, the firm would be hurt if interest rates were to rise by June, so it
would use a short hedge, or sell futures contracts. Since futures maturing in June are
selling for 95 17/32 of par, and futures contracts are for $100,000 in Treasury bonds,
the value of 1 contract is $95,531.25. This means the firm must sell 10,000,000/
$95,531.25 = 104.678 ≈ 105 contracts to cover the planned $10,000,000 June bond
issue. Should interest rates rise by June, Zinn Company will be able to repurchase the
futures contracts at a lower cost, which will help offset their loss from financing at the
higher interest rate. Thus, the firm has hedged against rising interest rates.