In: Finance
A computer software development company in the U.S. exports its software to the euro zone. The company’s European distributor asks and the company agrees to receive payments in euros (€). The distributor has just ordered a shipment that is priced in euros at today’s dollar equivalent of $28,150,000 for delivery and settlement in three months. The U.S.-based company is particularly worried about a high degree of uncertainty surrounding the euro exchange rate against the dollar. It decides to consider whether to hedge. Consulting with a NY bank, the company is advised that there are four different ways it can accomplish the hedge: Through a forward contract, a futures contract, an option contract, and through a money market hedge. The following information is available:
Spot $1.1260/€
3-month forward $1.1220/€
6-month forward $1.1360/€
3-month futures $1.1215/€
90-day call option #1 $ 1.1280/€ strike; $ 0.0030/€ premium
90-day put option #1 $ 1.1280/€ strike; $ 0.0050/€ premium
180-day call option #2 $ 1.1290/€ strike; $ 0.00820/€ premium
180-day put option #2 $ 1.1290/€ strike; $ 0.00980/€ premium
90-day dollar interest rate 4.40% per annum (deposit) 6.40% per annum (loan)
90-day euro interest rate 3.60% per annum (deposit) 5.60% per annum (loan)
The amount receivable under each of the hedging | ||
alternatives should be calculated. | ||
Euro value of the receivable = 28150000/1.1260 = | € 2,50,00,000 | |
1] | Forward contract: | |
Amount receivable = 25000000*1.1220 = | $ 2,80,50,000 | |
2] | Futures: | |
Amount receivable = 25000000*1.1215 = | $ 2,80,37,500 | |
3] | Call option: | |
Amount receivable under the call option = 25000000*1.1280 = | $ 2,82,00,000 | |
Less: Future value of option premium = 25000000*0.0030*(1+0.064/4) = | $ 76,200 | |
Net amount receivable [minimum] | $ 2,81,23,800 | |
4] | MMH: | |
The strategy is to create an euro liability which | ||
will have a maturity value of Euro 25000000 in | ||
90 days, by borrowing in Euros now and then | ||
converting it inot $ at the current spot rate and | ||
further investing it in $ for 3 months. | ||
Amount to be borrowed in euros for 90 days = 25000000/(1+0.056/4) = | $ 2,46,54,832 | |
Dollar equivalent to be deposted for 90 days = 24654832*1.1260 = | $ 2,77,61,341 | |
Maturity value of the deposit = 27761341*(1+0.044/4) = | $ 2,80,66,716 | |
On the 90th day, the euro receivable of 25000000 | ||
will be realized and the euro loan with a maturity | ||
value of 25000000 will be paid off. | ||
The dollar deposit will mature, which will be | ||
encashed to get its maturity value of $28,066,716. | ||
Amount receivable under the MMH = | $ 2,80,66,716 | |
5] | As the amount receivable under the call uption is | |
the highest, it should be preferred. |