Question: What, to the nearest cent, is the lower bound for the price of a six-month European put option on a stock when the stock price

What, to the nearest cent, is the lower bound for the price of a six-month European put option on a stock when the stock price is $40, the strike price is $46 and the risk-free interest rate with continuous compounding is 6% for all maturities? There are no dividends.

What is the answer to the question above if the put option is American?

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