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show EQUATIONS IN EXCEL not just answers Q3 Use the Black-Scholes Option Pricing model to value...

show EQUATIONS IN EXCEL not just answers

Q3 Use the Black-Scholes Option Pricing model to value a call option on the stock of Houston-based
Long-Range Videoing Equipment Inc. d.b.a. Outfield Sign Stealers Inc.
Current stock price $15 d1 0.24495
Option strike price $15 d2 0
Option time to maturity 6 months N(d1) 0.596752427
Stock return variance 0.12 N(d2) 0.5
risk-free rate 6%

Solutions

Expert Solution

S = Current Stock Price = 15
t = time until option expiration(years) = 0.5000
X = Option Strike Price = 15
r = risk free rate(annual) = 0.06
s = standard deviation(annual) = 0.12
N = cumulative standard normal distribution
d1 = {ln (S/K) + (r +s^2/2)t}/s√t
= {ln (15/15) + (0.06 + 0.12^2/2)*0.5}/0.12*√0.5
0.396000
d2 = d1 - s√t
= 0.396 - 0.12√0.5
0.3111
Using z tables,
N(d1) = 0.6539
N(d2) = 0.6221
C = Call Premium = =SN(d1) - N(d2)Ke^(-rt)
= 15*0.6539 - 0.6221*15e^(-0.06*0.5)
0.7528

Call Option = $0.75

Excel Calculation and formula used -


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