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When to use: one market premium → need σ̂ + Greeks; cheaper/faster than a full surface. Solves Black-Scholes IV then prices Greeks at the solved σ. Same engine as the surface endpoint (fastImpliedVol). Prefer surface whe...
When to use: you already have model inputs (S or forward mark, K, T, r, σ) and need fair value + hedge ratios — not market-premium IV. European BSM price + analytic Greeks (delta, gamma, vega, theta, rho). Works for equi...
Black-Scholes European option calculator: fair price, all greeks (delta, gamma, vega, theta, rho), or implied volatility from a market price. Pure computation over your inputs.
Price a European option (call or put) with the Black-Scholes-Merton model, plus the greeks (delta, gamma, vega, theta, rho). Continuous dividend yield supported. Greeks are per unit: theta is per year, vega per 1.00 chan...