Question: Use a three-period binomial tree to value an American put option with a $45 strike price and 3 months remaining to maturity. The underlying stock

Use a three-period binomial tree to value an American put option with a $45 strike price and 3 months remaining to maturity. The underlying stock does not pay any dividends and is currently selling for $40 per share. The risk-free rate is 1.5% per annum, compounded continously. The stock return volatility is 40%.

What if the option is European? Is ts price lower than the American version of the same option?

Show all calculations at every node of the binomial tree.

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