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A stock price (which pays no dividends) is $49 and the strike price f a 1-year European put option is $58. The risk-free rate is

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A stock price (which pays no dividends) is $49 and the strike price f a 1-year European put option is $58. The risk-free rate is 2% (continuously compounded). Calculate the lower bound for the option such that there are arbitrage opportunities if the price is below the lower bound and no arbitrage opportunities if it is above the lower bound. (Keep to 2 decimal places)

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