Question

In: Finance

A computer software development company in the U.S. exports its software to the euro zone. The...

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)

  1. Specify which hedging instruments (from the above list) you should look into.

Solutions

Expert Solution

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.

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