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Options Pricing Engine

Black-Scholes Model with Real-Time Greeks

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Black-Scholes Pricing Calculator

≈ 30 days

5.0%

80%

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Black-Scholes Model

The Black-Scholes model prices European options by assuming log-normal stock price distribution, constant volatility, and no transaction costs.

First-Order Greeks:

  • Delta: Price sensitivity to underlying
  • Gamma: Rate of delta change
  • Vega: Sensitivity to volatility
  • Theta: Time decay per day
  • Rho: Rate sensitivity

Second-Order Greeks:

  • Vanna: Delta sensitivity to vol
  • Charm: Delta decay over time
  • Volga: Vega convexity