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ABC Co just sold a ship to Ship France, Inc

Finance Dec 02, 2020

ABC Co just sold a ship to Ship France, Inc. ShipFrance will be billed €20.14 million payable in one year. The current spot exchange rate is $1.09/€ and the one-year forward rate is $1.12/€. The annual interest rate is 8 percent in the United States and 7 percent in France. ABC Co is concerned with the volatile exchange rate between the dollar and the euro and would like to hedge exchange exposure.

a. It is considering two hedging alternatives: Money Market hedge or forward hedge. Which alternative would you recommend?

b. Other things being equal, at what forward exchange rate would ABC Co. be indifferent between the two hedging methods?

Expert Solution

Given that ABC Co will be receiving Euro 20,14 million in 1 year

a)

Heding using forward contract

Given that the forward rate is $1.12/€

Hence Dollar receivable in 1 year will be 20.14 * 1.12 = 22.5568 Million Dollars

Hedging using money market hedge

We will be receiving Euro in 1 year

So we will borrow that amount in Euro and invest in dollar so that we can eliminate the transaction exposure

Accordingly, Amount of Euro to be borrowed is 20.14/1.07 = 18.822429 Million Euro

Now we will invest this in dollars

Amount of dollars = (20.14/1.07)*1.09 = 20.51644 Dollars

Dollars recievable after 1 year will be 20.51644 + 20.51644 * 0.08 = 22.15776

hence we can see that the forward contract is yielding higher than the money market hedge so it is preferred to have the forward cover only

b) Since interest rates in US and France are different we have to have a theoretical forward rate as per the covered interest rate arbitrage theory(CIA)

According to CIA

F = S * (1+ia)/(1+ib)

Where F is the forward rate

ia is the interest rate in domestic country

ib is the interest rate in foreign country

Hence the required exchange rate to be indifferent between two alternatives is

F = 1.09 * (1.08)/(1.07)

F = 1.1

Hence the required forward rate is $1.1/Euro

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