Wenden Co is a Dutch-based company which has the following expected transactions.
One month: Expected receipt of £2,40,000
One month: Expected payment of £1,40,000 Three months: Expected receipts of £3,00,000
The finance manager has collected the following information: Spot rate (£ per €): 1.7820 ± 0.0002 One month forward rate (£ per €): 1.7829 ± 0.0003 Three months forward rate (£ per €): 1.7846 ± 0.0004 Money market rates for Wenden Co:
Borrowing Deposit
One year Euro interest rate: 4.9% 4.6
One year Sterling interest rate: 5.4% 5.1
Assume that it is now 1 April.
Required:
- Calculate the expected Euro receipts in one month and in three months using the forward market.
- Calculate the expected Euro receipts in three months using a money- market hedge and recommend whether a forward market hedge or a money market hedge should be used.
Solution
- Forward market evaluation
Net receipt in 1 month = £2,40,000 – £1,40,000 = £1,00,000 Wenden Co needs to sell Sterlings at an exchange rate of (1.7829 + 0.0003)
=£1.7832per €
Euro value of net receipt = 1,00,000/ 1.7832 =€56,079
Receipt in 3 months = £3,00,000
Wenden Co needs to sell Sterlings at an exchange rate of 1.7846 + 0.0004
=£1.7850per €
Euro value of receipt in 3 months = 3,00,000/ 1.7850 =€1,68,067
- Evaluation of money-market hedge (Borrow – Sell – Invest)
Expected receipt after 3 months = £300,000 Step 1 : Borrow
Sterling interest rate over three months = 5.4/ 4 = 1.35%
Sterlings to borrow now to have £300,000 liability
after 3 months = 300,000/ 1.0135 = £296,004 Step 2 : Sell
Spot rate for selling Sterling = 1.7820 + 0.0002 = £1.7822 per€ Euro deposit from borrowed Sterling at spot = 296,004/ 1.7822 = €166,089 Step 3 : Invest
Euro interest rate over three months = 4.6/ 4 = 1.15% Value in 3 months of Euro deposit = 166,089 x 1.0115 = €167,999
The forward market is marginally preferable to the money market hedge for the Sterling receipt expected after 3 months.