Question

You write a put option on JPY with a strike price of USD0.008/JPY (JPY125.00/USD) at a...

You write a put option on JPY with a strike price of USD0.008/JPY (JPY125.00/USD) at a premium of USD0.008 per JPY and with an expiration date six months from now. The option is for JPY12,500,000. What is your profit or loss at maturity if the ending spot rates are:

JPY110.00/USD JPY122.00/USD JPY135.00/USD JPY140.00/USD

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Answer #1

The profit or loss at maturity with different ending spot rates is calculated as below:

Ending Spot Rates
JPY110.00/USD JPY122.00/USD JPY135.00/USD JPY140.00/USD
Value of Option (¥) [A] 12,500,000 12,500,000   12,500,000 12,500,000
Strike Price (US$/¥) $0.008 $0.008 $0.008 $0.008
Ending Spot Rate (¥/US$) 110.00 122.00 135.00 140.00
Ending Spot Rate in US$/¥ [1/Ending Spot Rate (¥/US$)] $0.009091 (1/110) $0.008197 (1/122) $0.007407 (1/135) $0.007143 (1/140)
Gross Profit on Option $0.000000 $0.000000 $0.000593 $0.000857
Less Premium ($0.000080) ($0.000080) ($0.000080) ($0.000080)
Net profit (US$/¥) [B] ($0.000080) ($0.000080) $0.000513 $0.000777
Net Profit/(Loss) [A*B] ($1,000.00) ($1,000.00) $6,407.41 $9,714.29

_____

Notes:

The value of gross profit on option is based on the following formula:

Gross Profit on Put Option = Strike Price - Ending Spot Rate in US$/¥ [If Strike Price>Ending Spot Rate in US$/¥]

or $0 [If Strike Price<Ending Spot Rate in US$/¥]

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