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Archive for June 22nd, 2008

Strategies to reduce option cost

A US investor has purchased Sterling Treasury bills and wishes to hedge against the falling value of Sterling. Buying the out-of-the-money put (strike price $1.8500) will protect against a fall below that figure. The sale of the out-of-the-money call at $1.8900 will mean that the investor will benefit from any rise in Sterling to $1.8900 but not above that figure. The cost of buying the put is off-set by the revenue from writing the call, resulting in this instance in a zero cost strategy.

The reader will note that if Sterling rises above $1.8900, the written call position will make a loss. This is off-set by the rising value in dollar terms of the underlying Sterling investment. Conversely, if Sterling falls below $1.8850, the puts make a profit which off-sets the currency losses on the investment in the Sterling Treasury bills. Read more »

Valuing American options on futures contracts

The Black model should not be used for valuing American options on currency futures because it may be optimal to exercise the options early in the same way as it may be optimal to exercise options on the spot currency early. The binomial or the Barone-Adesi and Whaley models may be used for valuing those options.

The early exercise potential of American options on futures is different to that of options on the spot. Futures prices do not exhibit the discrete jumps that accompany spot market assets when the underlying spot asset makes discrete distributions. However, as the carry basis of the future converges to zero at delivery, the futures price converges to the spot price in an orderly manner. Read more »

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