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American International Group (AIG) is negotiating with American General (AGC)'s management to acquire the firm in an all-stock transaction. AIG's current stock price is $60.

American International Group (AIG) is negotiating with American General (AGC)'s management to acquire the firm in an all-stock transaction. AIG's current stock price is $60. AGC is concerned about a potential change in AIG's stock price between signing and closing (which is expected to take around 9 months). AIG is willing to offer a price floor at $57 if the seller accepts a price cap. You wish this guarantee to come at no additional cost. Calculate the price cap. Keep two decimal points in your final answer. Risk free rate is 0.3%, Volatility is 36%.

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