understanding financial jargon
The Black-Scholes Model is a mathematical formula designed to price an option. It is a function of a number of variables such as stock price, striking price, volatility, time to expiration, dividends to be paid, and the current risk-free interest rate. It is a fairly common method of option pricing but does use some assumptions which give rise to limitations. The main assumptions of the Black-Scholes Model are;
Although the Black-Scholes Model has these limitations compared to other more complex option pricing models, it is still popular with option traders due to it's relative simplicity. For those of you who are mathematically inclined the Black-Scholes formula is as follows;
C0 = S0N(d1) - Xe-rTN(d2)
d1 = [ln(S0/X) + (r + σ2/2)T]/ σ √T
d2 = d1 - σ √T
C0 = current option value
S0 = current stock price
N(d) = the probability that a random draw from a standard normal distribution will be less than (d).
X = exercise price
e = 2.71828, the base of the natural log function
r = risk-free interest rate (usually the money market rate for a maturity equal to the option's maturity.)
T = time to option's maturity, in years
ln = natural logarithm function
σ = standard deviation of the annualized continuously compounded rate of return on the stock
What to do if you need more help
If you need more help with your specific commercial loan, mortgage or insurance requirement please speak to a professional financial adviser.
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