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Problem 6: a. Compute the Black-Scholes European Call Option and European Put Option price when = $10, = $8, 2 = 10%, = 3%, =

Problem 6:

a. Compute the Black-Scholes European Call Option and European Put Option price when = $10, = $8, 2 = 10%, = 3%, = 0%, = 0.4, = 0. Note represents the stocks dividend yield.

b. Compute the Black-Scholes European Call Option and European Put Option price when = $6, = $8, 2 = 10%, = 3%, = 0%, = 0.4, = 0. Note represents the stocks dividend yield.

c. Compute the Black-Scholes European Call Option and European Put Option price when = $10, = $8, 2 = 10%, = 3%, = 0%, = 0.4, = 0.2. Note represents the stocks dividend yield.

d. Compute the Black-Scholes European Call Option and European Put Option price when = $10, = $8, 2 = 10%, = 3%, = 0%, = 0.4, = 0.3. Note represents the stocks dividend yield. Compare your answer to a) and c). What happens when the time to expiration decreases?

e. Compute the Black-Scholes European Call Option and European Put Option price when = $10, = $8, 2 = 10%, = 6%, = 0%, = 1, = 0.

f. Compute the Black-Scholes European Call Option and European Put Option price when = $10, = $8, 2 = 10%, = 6%, = 6%, = 1, = 0. Note represents the stocks dividend yield. Compare you answer to e). What happens if the stock pays a dividend?

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