Question: Consider a chooser option which allows one to select, after 1 year either a put or a call option. Either option is on the same

Consider a chooser option which allows one to select, after 1 year either a put or a call option. Either option is on the same stock, expires 4 years from now and has strike price 45. The current stock price, S =50. The risk-free rate is, r = 10 %. The dividend yield is 2%. A European call option on the stock expiring in one year with strike price of 35.398254 has a premium of 20.333. The current value of the chooser option is 12. Calculate the price of a European call option on the stock expiring in 4 years with strike price of 45.

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