The Greeks
This application calculates the Greeks for a European call or put option using the Black-Scholes model.
Details on The Greeks
In mathematical finance, The Greeks are measurements of risk that are used to represent the sensitivity of the price of a derivative to underlying variables, such as time-value decay and the implied volatility or price of the underlying asset.
Delta - The price sensitivity
Delta measures the rate of change of the derivative value, , with respect to changes in the underlying asset's price, .
Vega - The sensitivity to volatility
Vega measures the rate of change of the derivative value, , with respect to the volatility, , of the underlying asset.
Theta - The time sensitivity
Theta measures the rate of change of the derivative value, , and time, . This is also known as the "time-value decay".
Rho - The sensitivity to the interest rate
Rho measures the rate of change of the derivative value, , and the risk free interest rate, .
Gamma - The second-order time price sensitivity
Gamma measures the rate of change of the delta of a derivative, , with respect to changes in the underlying asset's price, .
Option Type
Parameters
Stock price
Strike price
Risk-free interest rate
Dividend rate
Time to maturity
Volatility
Option Price
Delta
Vega
Theta
Rho
Gamma
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