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A stock is currently priced at $ 160 and pays no dividends. The price at time i+1 is given by S(i+1) and can be written

A stock is currently priced at $ 160 and pays no dividends. The price at time i+1 is given by S(i+1) and can be written as S(i+1) = S(i) + 0.5 S(i) for the up move or S(i+1) = S(i) 0.5 S(i) for the down move. The risk-free interest rate of 18.232% per period. Consider an American Put option on this asset with a strike price of $ 150 with three periods to expiration. The price of the European call option (rounded to the nearest integer) is $85. What will be the price of the corresponding American call option?

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