options-and-derivatives

Price options and analyze risk with full Greek sensitivities and scenario testing.

2|Updated Mar 26, 2026
One-click install
npx skills add https://github.com/tmcga/alpha-stack --skill options-and-derivatives
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: options-and-derivatives
Source: https://github.com/tmcga/alpha-stack/tree/main/skills/options-and-derivatives
Command: npx skills add https://github.com/tmcga/alpha-stack --skill options-and-derivatives

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Pricing, risk analysis, and strategy design for options and derivatives. It provides exact Greeks, implied volatility analysis, and structured payoff construction to help traders price, hedge, and manage risk with confidence.

Core Features & Use Cases

  • Vanilla and exotic option pricing using Black-Scholes, binomial trees, and local/stochastic volatility approaches
  • Full Greeks coverage (delta, gamma, vega, theta, rho) plus higher-order Greeks (vanna, volga, charm, color)
  • Implied volatility surface analysis: skew, term structure, and volatility surface arbitrage checks
  • Multi-leg strategy construction, payoff diagrams, and risk/reward optimization
  • Convertible bond decomposition (bond floor + embedded option) and structured product valuation
  • Scenario analysis, stress tests, and risk management for volatility books

Quick Start

Provide spot, strike, expiry, rate, dividend, and market data to obtain price, full Greeks, and a recommended strategy.

Frequently Asked Questions about options-and-derivatives

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

FAQPage Schema
How do I calculate option Greeks and price using Black-Scholes?

To calculate option Greeks and price using Black-Scholes, provide spot, strike, expiry, rate, dividend, and market data. The tool outputs price, full Greeks including delta, gamma, vega, theta, and rho, plus higher-order sensitivities like vanna and volga.

Can I build multi-leg options strategies and generate payoff diagrams?

Yes, you can build multi-leg options strategies and generate payoff diagrams. Input your market data to obtain constructed payoffs, risk/reward optimization outputs, and full Greek sensitivities for the combined structured position.

How does implied volatility surface analysis work for skew and term structure?

Implied volatility surface analysis works by processing market prices to extract skew dynamics, term structure, and surface arbitrage checks. It evaluates equity and index data to identify mispricings and inform volatility hedging decisions.

What's the best way to price exotic options and structured notes?

The best way to price exotic options and structured notes is using binomial trees and local volatility approaches. This applies to convertible bond decomposition and structured product valuation by separating the bond floor from embedded options.

Does this options pricing tool support stress testing for volatility books?

Yes, this options pricing tool supports stress testing for volatility books. It provides scenario analysis and risk management outputs by shifting spot, rate, and volatility inputs to test portfolio sensitivities and hedge effectiveness.

Why do I need higher-order Greeks like vanna and volga for risk management?

You need higher-order Greeks like vanna, volga, charm, and color for risk management to capture non-linear sensitivities. These measure option price changes against complex parameter shifts, enabling precise hedging decisions for volatility books.