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Suppose that a stock is currently trading at $60 per share. Suppose also that the stock price can only take two possible values one year from now: It can either go up by 25% or down by 20%. The annual risk-free rate is 4%. Assume that the stock pays no dividend. Suppose that we are interested in pricing a European put option on this stock. The option has a strike price of $66, and its maturity date is exactly one year from now.

a) What is the payoff on the put option if the stock price goes up by 25%?

b) What is the payoff on the put option if the stock price goes down by 20%?

c) What is the price of the put option? You need to find the replicating portfolio.

It is important that you are proficient in solving this systems of equations quickly.

Financial Management, Finance

  • Category:- Financial Management
  • Reference No.:- M92336139

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