options-payoff

You can visualize options strategy payoff by computing expiry P&L curves and theoretical values across an underlying price range. This tool generates interactive diagrams for single-leg and multi-leg portfolios like vertical spreads, straddles, and iron condors.

Breakeven points are calculated using numerical root-finding on the payoff function. The tool identifies break-even points, max profit, and max loss to support research with capped-risk assessment for various spread strategies.

Implied volatility inversion works by solving for volatility using Newton-Raphson root-finding with convergence safeguards. The tool computes Black-Scholes theoretical values and handles edge cases to quantify delta, gamma, theta, and vega sensitivities.

Yes, you can use numpy and scipy for Greeks-driven scenario analysis. The tool applies these dependencies to compute price sensitivity, curvature, time decay, and volatility sensitivity, enabling IV sensitivity visualization during research and backtesting.

The best way to compare volatility scenarios is by generating theoretical value curves and breakeven analysis across different underlying prices. The tool supports butterflies, iron variants, calendars, and diagonals with IV sensitivity visualization.

Implied volatility inversion may fail to converge for deep out-of-the-money options due to numerical instability in the root-finding process. The tool applies Newton-Raphson methods with safeguards and edge-case handling to mitigate these convergence issues.