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A put option on a stock with three months to maturity has the exercise price of $60. The stock is currently traded at $59 per

A put option on a stock with three months to maturity has the exercise price of $60. The stock is currently traded at $59 per share and a volatility of 30% per annum. The continuously compounded risk-free rate is 3.50% per annum.

Using one-month steps, what would be the price of the option if it is a European put option?

What is the price of the option if it is an American put option which could be exercised early? When is it likely to be exercised?

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