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Currency risk management
Example 8
(ii) Buy at strike price: –1.4800
Sell at spot: 1.6000
Net: +0.1200 therefore exercise option.
Get a gain on each contract of $0.12/£ × £31,250 = $3,750
For 270 contracts: $3,750 × 270 = $1,012,500
Convert at spot rate in September $1,012,500/1.6000 = £632,812.50
Exchange receipt at market rate: $12,500,000/1.600 = £7,812,500
Net receipt = 7,812,500 + 632,812.50 – 145,395 = £8,299,917.50
Or,
Go to exchange, and receive 270 contracts of £31,250
270 × 31,250 = £8,437,500
But, underhedged 8,437,500 × 1.4800 = 12,487,500, by 12,500, convert
at market rate.
12,500/1.6000 = 7,812.50
Value of contract: 270 × 31250 8,437,500
Underhedge: 12,500/1.600 7,812.50
Less premium (145,395)
Net receipt 8,299,917.50
Note: a question this detailed is unlikely but it shows the various stages
which could all be tested individually.
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