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You have been given the following information on a call option on the stock of Puckett Industries: P = $65 X = $70 t =

You have been given the following information on a call option on the stock of Puckett Industries:
P = $65 X = $70
t = 0.5 rRF = 5%
s = 50.00%
a. Using the Black-Scholes Option Pricing Model, what is the value of the call option?
First, we will use formulas from the text to solve for d1 and d2.
Hint: use the NORMSDIST function.
(d1) = N(d1) = d1 = { ln (P/X) + [rRF + s2 /2) ] t } / (s t1/2)
(d2) = N(d2) = d2 = d1 - s (t 1 / 2)
Using the formula for option value and the values of N(d) from above, we can find the call option value.
VC = VC = P[ N (d1) ] - X e-r t [ N (d2) ]
b. Suppose there is a put option on Puckett's stock with exactly the same inputs as the call option. What is the value of the put?
Put option using Black-Scholes modified formula = Put = P[ N (d1) - 1 ] - X e-r t [ N (d2) -1 ]
Put option using put-call parity = VP = VC - P + X exp(-rRF t)

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