Black-Scholes Options Pricing Model
The underlying assumption of the Black-Scholes option price is that the price volatility of the underlying instruments follow a pattern and can be predictable. Thus by incorporating this volatility (implied volatility) value with time to options’ expiration, options’ strike price and time value of money, one can figure out the options price variation. Traders can also calculate the possible volatility if the options price is known. The results are expressed as Options Greeks consisting of Vega, Delta and Theta.
The Black-Scholes options pricing model does not consider the arbitrage of underlying instruments, the taxes and fees involved in trading and earnings from the underlying equity. The model also assumes that the equity is traded often and there is short-selling of it. Although the Black-Scholes model is formulated for European type of options, its variations are available for American type. The main variations of this theory include ARCH, GARCH, N-GRCH, etc
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