WOLFRAM|DEMONSTRATIONS PROJECT

Black-Scholes Option Model

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option
call
put
strike price
100.
interest rate
0.05
dividend yield
0.004
volatility
0.3
time to maturity
0.1
There are two main types of options that occur in the marketplace: call and put options. These give the option buyer the right to buy or to sell the security, respectively at a later date, called the maturity date, for a fixed price called the strike price. The most popular model for the evaluation of these options is called the Black–Scholes model after its creators. This 2D plot demonstrates how European call and put option prices, determined by the Black–Scholes model, change for different values of their input parameters, which include: current stock price, the strike price, interest rate, dividend yield of the stock, volatility or annualized standard deviation, and time remaining to maturity.