ADMS 1000 Lecture Notes - Lecture 20: Foreign Exchange Spot, Call Option, Standard Deviation

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ADMS 1000 Full Course Notes
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ADMS 1000 Full Course Notes
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The upper bound for a call option premium is equal to the spot exchange rate (s): c s. Given these boundaries that are enforced by arbitrage, option premiums lie within these boundaries. Although boundary conditions can be used to determine the possible range for a currency option"s premium, they do not precisely indicate the appropriate premium for the option. A call option premium is equal to the spot exchange rate (s): c s. If the call option premium ever exceeds the spot exchange rate, one could engage in arbitrage by selling call options for a higher price per unit than the cost of purchasing the underlying currency. Even if those call options are exercised, one could provide the currency that was purchased earlier (the call option was covered). The arbitrage profit in this example is the difference between the amount received when selling the premium and the cost of purchasing the currency in the spot market.

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