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4. What is the value of a derivative which pays 20 when the stock price is 120 or above and pays 10 when the stock

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4. What is the value of a derivative which pays 20 when the stock price is 120 or above and pays 10 when the stock price is 80 or below. The payoff is made the first occurrence the stock is above or below the thresholds. The payoff at maturity if not hitting the thresholds is an Asian option averaging over the 3 years with a strike of 98. The option has a 3-year maturity with annual steps. The risk-free rate is 2% with annual compounding Stock Price Year 1 103 108 133 123 Trial Nm oo 0 100 100 100 100 100 100 100 100 100 100 137 106 105 101 136 79 110 117 111 128 142 10 114 109

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