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A stock is currently trading at $100. In each month, the stock will either increase in price by a factor of or fall by a factor of . The risk-free rate of interest per month is 0.1668% in simple terms, i.e., an investment of $1 at the risk-free rate returns $1.001668 after one month. What is the early-exercise premium of a 100-strike, six-month American call option when a dividend of $1 is paid at the end of each month? (Assume that if the option is exercised, it is done just before the dividends are paid.)
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