In: Finance
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% |
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 -