Consider a three-period binomial model in which a stock currently trades at a price of 65 Euros. The stock price can go up 20% or down 17% each period. The risk-free rate is 5%. Calculate the price of a call option expiring in three periods with an exercise price of 60 Euro.

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Consider a three-period binomial model in which a stock currently trades at a price of 65 Euros. The stock price can go up 20% or down 17% each period. The risk-free rate is 5%.

  1. Calculate the price of a call option expiring in three periods with an exercise price of 60 Euro.

  2. Based on your answer in (A), calculate the number of units of the underlying stock that would be needed at each point in the binominal tree to construct a risk-free hedge. Use 10000 calls.

  3. Calculate the price of a call option expiring in three periods with an exercise price of 70 Euro.

  4. Based on your answer in (C), calculate the number of units of the underlying stock that would be needed at each point in the binominal tree to construct a risk-free hedge. Use 10000 calls.

 

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