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.