Question

In: Finance

Arise Ghana Limited transacts business with firms in USA and Europe. It sold goods valued US$100...

Arise Ghana Limited transacts business with firms in USA and Europe. It sold goods valued US$100 million to PPP Limited, a US firm payable in one year time. The spot exchange rate is GHS4.3/$ and the one year forward exchange rate is GHS4.5/$. The interest rate in Ghana is 6.10 percent per annum and the interest rate in US is 9 percent per annum.

  1. Describe how Arise Ghana Ltd can use a forward contract to hedge its receivables. Indicate the amount that it will receive at the end of the contract.
  2. Suppose on maturity date, the spot rate turns out to be GHS5.50/$. Will Arise Ghana Ltd be worst off under the forward hedge?
  3. Given the scenario in question 5(b), will Arise Ghana Limited behave differently if it had used an option market hedge instead of the forward market hedge? Assume the option premium is GHS0.0001 per pound and the exercise price is GHS4.5/$ (1 year maturity).
  4. Outline by showing the calculation of the steps through which money market can be used Arise Ghana Ltd to hedge its receivable.
  5. Under what circumstance will a firm use leading or lagging strategy to hedge against exchange rate exposures?

Solutions

Expert Solution

a. One year forward exchange rate is GHS4.5/$

If Arise Ghana enters into a forward contract to hedge its receivables, it will receive amount based on the above rate of exchange i.e. $100million * GHS4.5/$ = GHS450 million.

b. If after one year the spot rate is GHS5.50/$ then if the company had not taken any forward contract then it would have received = $100 million * GHS5.5/$ = GHS550 million.

But since if the company had taken forward contract it will recieve GHS450 million as shown in part a. Hence it would be worse off in case of forward contract.

This is because the spot rate after one year has turned out to be higher than the forward rate at which forward contract is taken.

c. Option premium is GHS0.0001 per dollar and strike pric eis GHS4.5/$.

Value in USD at the given strike rate is $450 million.

Premium = $450 million * 0.0001 = $45000

Hence total amount receivable under option contract is :

Amount - premium = $450 mn - $45000 = $449955000

Under spot rate amount receivable will be = $550 mn

Hence worse off under option contract.

d.Arise Ghana Ltd. has receivables of $100 million in one year time.

In money market hedge what we do is we enter into an opposite position.

In the given case we have receivables of $100 million so to get an opposite position we have to enter into a contract so as to get $100 million payable in one year time.

For this purpose we will have to borrow an amount in $ TODAY that becomes $100 million in one year time.

The interest in US is 9 percent per annum so let the amount to be borrowed be x. Now this amount will become $100 million in one year, hence :

x * 1.09 = $ 100,000,000

Hence x comes out to be $91,743,119.

So for money market hedge we borrow $91,743,119 today and invest in GHS.

Converting to GHS using current spot rate of GHS4.3/$ we get :

GHS4.3 * 91743119 = GHS 394,495,412

Now we invest it @ 6.1 % p.a.

At the end of year we have = GHS 394,495,412 * 1.061 = GHS 418,559,632

The amount that we receive from PPP Limited will be used to pay off the $100 mn loan and the final ammount received would be GHS 418,559,632.


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