3. A financial company wants to sell to a customer a put option on AMAZON stock...
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3. A financial company wants to sell to a customer a put option on AMAZON stock with a strike price of $4000 and a maturity of 3 months. The company believes that AMAZON stock does not pay any dividend in the lifetime of the option, and that the price of AMAZON stock follows a geometric Brownian motion with volatility 20% per annum. The current price of AMAZON stock is $3500 and the continuously compounded risk- free rate is 1% per annum. (a) Find the current intrinsic value of this option. (2 points) (b) Find the Black-Scholes price of this option. (5 points) (c) What is the delta of this option currently? (2 points) (d) Suppose that after 1 month, AMAZON stock price increases to $3700. What is the delta of this option then? (1 point) 3. A financial company wants to sell to a customer a put option on AMAZON stock with a strike price of $4000 and a maturity of 3 months. The company believes that AMAZON stock does not pay any dividend in the lifetime of the option, and that the price of AMAZON stock follows a geometric Brownian motion with volatility 20% per annum. The current price of AMAZON stock is $3500 and the continuously compounded risk- free rate is 1% per annum. (a) Find the current intrinsic value of this option. (2 points) (b) Find the Black-Scholes price of this option. (5 points) (c) What is the delta of this option currently? (2 points) (d) Suppose that after 1 month, AMAZON stock price increases to $3700. What is the delta of this option then? (1 point)
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a The current intrinsic value of a put option is the maximum of zero and the difference between the strike price and the current stock ... View the full answer
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