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S0 ( stock price ) currently $80, and at the end of 3 months it will increase or decrease by 20%. The annual RF rate

S0 ( stock price ) currently $80, and at the end of 3 months it will increase or decrease by 20%. The annual RF rate is 9%. Assume that ST is the price at the end of 3 months. what is the value of the derivative that pays off ln(ST) ? What should be done if no strike price is provided? How can it be done using the no arbitrage approach?

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