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Blunt Aesthetics is a U.S. fashion retailer which imports products from Europe. The company will need 100,000 euros () in one year to pay its

Blunt Aesthetics is a U.S. fashion retailer which imports products from Europe. The company will need 100,000 euros () in one year to pay its Italian and French suppliers.

The firm expects the following exchange rate scenarios and probabilities:

Scenario Spot rate in one year Probability
A $1.02 0.2
B $1.08 0.4
C $1.14 0.4

The spot rate is $1.08 per euro and the one-year forward rate is $1.081 per euro. The U.S. interest rate is 8% and the euro interest rate is 4%.

A call option on euros expiring in one year costs $0.045 per euro and has an strike price of $1.08 per euro.

What is the expected cost of obtaining $100,000 euros in one year if the company does not hedge its payables (in $)?

What is the total cost if Blunt uses a foward contract to buy euros (in $)?

What is the total cost of creating a money market hedge, including interest (in $)?

What is the total cost of hedging your payables with a call option (in $)? Ignore the time value of money, i.e., the fact that the option premium has to be paid now rather than in a year.

What is the optimal strategy for the company?

a. No hedging

b. Forward contract

c. Money market hedge

d. Call options

If the exchange rate turns out to be $0.96 per euro in one year, what was the cost of hedging if the company followed the optimal strategy identified in the previous part (in $)?

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