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The current price of a stock is 100. In three months from now its price will either be 125 or 80. The constant risk-free interest

The current price of a stock is 100. In three months from now its price will either be 125 or 80. The constant risk-free interest rate is 9.877% per year with continuous compounding. Using a two-period binomial model, answer the following questions (show the details of your calculations and present them with four decimal places).

  1. Calculate the upward move 'u' and the downward move 'd'.

(5 marks)

  1. Calculate the risk-neutral probability 'p'.

(5 marks)

  1. Calculate the price of a European call option with a strike price of 100 and a maturity of three months.

(10 marks)

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