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What is the price of an American-style call option assuming a 4% annual risk-free rate, a...

  1. What is the price of an American-style call option assuming a 4% annual risk-free rate, a strike price = $150, and 3 years to maturity.  In each year the price can either rise by a factor of 1.3 or fall by a factor of 0.9.  The current price of the underlying asset is $100 and it pays no dividends.
  2. Why is the price in part a different than you would get from inputting a 10% drift and 20% volatility into the Black Scholes equation?
  3. What would be the price of an American-style put option on the same stock with the same maturity as in part a above?

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