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Please discuss the Black & Scholes model and the binomial model approach to option pricing. What are the advantages and disadvantages of these two approaches?

Please discuss the Black & Scholes model and the binomial model approach to option pricing. What are the advantages and disadvantages of these two approaches? Determine the price of a call and put option assuming that the exercise price is $105, the value of the stock is $101, risk-free rate is 2.05%, standard deviation of returns on the stock is 28%, and the option has 6 months remaining to maturity. What is the price sensitivity of the call and put options to changes in the price of the stock? Would the sensitivity be different if the exercise price in this example was $103? Please explain.

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