The treasurer for Pittsburgh Iron Works wishes to use financial futures to hedge her interest rate exposure. She will sell five Treasury futures contracts at $185,000 per contract. It is July and the contracts must be closed out in December of this year. Long-term interest rates are currently 16.30 percent. If they increase to 18.50 percent, assume the value of the contracts will go down by 15 percent. Also, if interest rates do increase by 2.2 percent, assume the firm will have additional interest expense on its business loans and other commitments of $165,000. This expense, of course, will be separate from the futures contracts.

Required:
a. What will be the profit or loss on the futures contract if interest rates increase to 10.50 percent by December when the contract is closed out?
b. After considering the hedging, what is the net cost to the firm of the increased interest expense of $139,000?
c. What percent of this $139,000 cost did the treasurer effectively hedge away?

Respuesta :

Answer:

Explanation:

185000x 1-0.15

= 185000 x 0.85

= 157250

gain = 185000-157250

= 27750

number of contracts = 5

5 x 27750

= 138750

other commitments = 16500

165000 - 138750

= 26250

this is the net cost

percentage hedged away:

138750/165000

= 0.841

= 84.1%

c. loss. there would be a loss on future contract sincelower interest would bring about greater bond prics and the purchase price would be more than the initial sales price.