Cost of the Basic Hedging Techniques

Cost of the Basic Hedging Techniques

Application Selective Hedging

In March, Multinational Industries, Inc. (MII) assessed the September spot rate for sterling at the following rates:

$1.80/£ with probability 0.15

$1.85/£ with probability 0.20

$1.90/£ with probability 0.25

$1.95/£ with probability 0.20

$2.00/£ with probability 0.20

a. What is the expected spot rate for September?

Solution. The expected future spot rate is 1.80(0.15) + 1.85(0.2) + 1.90(0.25) + 1.95(0.20) + 2.00(0.20) = $1.905.

b. If the six-month forward rate is $1.90, should the firm sell forward its £500,000 pound receivables due in September?

Solution. If MII sells its pound proceeds forward, it will lock in a value of $950,000 (1.90 × 500,000). Alternatively, if it decides to wait until September and sell its pound proceeds in the spot market, it expects to receive $952,500 (1.905 × 500,000). Based on these figures, if MII wants to maximize expected profits, it should retain its pound receivables and sell the proceeds in the spot market upon receipt.

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