options-payoff

Compute and visualize option portfolio P&L under Black-Scholes pricing.

Updated Jun 12, 2026
One-click install
npx skills add https://github.com/GGwujun/SigmX --skill options-payoff-ggwujun
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: options-payoff
Source: https://github.com/GGwujun/SigmX/tree/main/agent/src/skills/options-payoff
Command: npx skills add https://github.com/GGwujun/SigmX --skill options-payoff-ggwujun

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Option P&L analysis and pricing for multi-leg option portfolios is complex and time-consuming; this skill provides a consolidated framework to compute expiry P&L, current theoretical value via Black-Scholes, and Greeks across strategies.

Core Features & Use Cases

  • Expiry P&L curves for single-leg and multi-leg strategies
  • Black-Scholes pricing and Greeks calculations
  • Implied volatility inversion to estimate IV from market prices
  • Break-even and risk-reward analysis for various option structures
  • Plotting and scenario analysis for strategy selection in research/backtesting environments

Quick Start

Define your option legs and run the payoff diagram with implied volatility analysis for a given market price.

Frequently Asked Questions about options-payoff

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I calculate and visualize payoff diagrams for multi-leg option strategies?▼

You can calculate option Greeks and theoretical prices using the Black-Scholes pricing model by inputting underlying price S, strike K, time to expiry T, risk-free rate r, dividend yield q, and volatility sigma. The skill outputs sensitivities like delta and gamma for portfolio risk analysis.

Can I estimate implied volatility from market option prices?▼

You can perform break-even analysis for option structures by using numeric solvers to find the underlying prices where the total portfolio P&L equals zero. This identifies the exact points where vertical spreads, butterflies, or condors become profitable at expiry.

Does this skill support live trading outputs and order execution?▼

No, this skill includes safeguards to prevent live trading outputs. It is designed strictly for research, backtesting, and strategy evaluation environments to analyze theoretical P&L and pricing without executing real market orders.

What parameters do I need to define to run Black-Scholes option pricing?▼

To run Black-Scholes option pricing, you need to define the underlying price S, strike price K, time to expiry T, risk-free rate r, dividend yield q, and volatility sigma. You also need premium data for implied volatility calculations.

How do I analyze risk-reward ratios for option strategies like condors and butterflies?▼

To analyze risk-reward for option strategies, the skill computes expiry P&L curves and break-even points for various multi-leg structures. This allows you to evaluate maximum profit, maximum loss, and risk-reward ratios across different market scenarios for your chosen strategy.