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The Mathematics Behind the Simulation — 7 Price Models and 3 Option Pricers Explained

Advanced Concepts

The Mathematics Behind the Simulation — 7 Price Models and 3 Option Pricers Explained

Deep dive into the 7 stochastic models (GBM, Heston, Jump Diffusion, GARCH, SABR, FBM, Bates) and 3 option pricers (Black-Scholes, Bjerksund-Stensland, Binomial Tree) that power Options Simulator. Learn what each model captures, why it's paired with a specific pricer, and which one to use for your strategy.

How Simulated Data Extends Options Backtesting

Advanced Concepts

How Simulated Data Extends Options Backtesting

Options backtesting has blind spots — incomplete IV data, missing Greeks evolution, no multi-leg execution, and zero behavioral realism. This guide shows 6 specific gaps and how simulation-based forward testing fills each one, with screenshots from Options Simulator.

Backtesting vs Simulated Data: Why Forward Testing Wins

Advanced Concepts

Backtesting vs Simulated Data: Why Forward Testing Wins

Backtesting vs simulated data testing is one of the most important debates in modern strategy validation. Academic research consistently shows backtesting overfits the majority of strategies — your beautiful equity curve in Excel becomes a portfolio loss in live trading. Forward testing on simulated data eliminates the hindsight bias that makes backtesting unreliable.

Margin and Buying Power for Options

Margin and Buying Power for Options

Before you can trade options, you need the right account level and enough buying power. This guide explains cash vs margin accounts, the four options approval levels, buying power requirements for every strategy type, and the critical difference between defined and undefined risk.

Options Expiration Explained: What to Do

Options Expiration Explained: What to Do

What actually happens when your options expire? Auto-exercise, assignment, pin risk, weekly vs monthly vs LEAPS — this guide walks you through every scenario so you're never caught off guard on expiration day.

Implied Volatility Explained: IV Rank, IV Crush, and VIX

Implied Volatility Explained: IV Rank, IV Crush, and VIX

Implied volatility tells you how expensive options are right now — and whether you should be buying or selling them. Learn IV Rank, IV Crush, the volatility smile, and the VIX with practical SPY examples.

Option Greeks — Delta, Gamma, Theta, Vega, Rho

Option Greeks — Delta, Gamma, Theta, Vega, Rho

Option Greeks — Delta, Gamma, Theta, Vega, and Rho — are the five numbers that tell you how your option will behave. Learn each Greek with real-world analogies, practical AAPL examples, and a cheat sheet you'll actually use.

How to Read an Option Chain (Step by Step)

How to Read an Option Chain (Step by Step)

Master the option chain: bid/ask, volume, open interest, IV. Step-by-step TSLA walkthrough with live data and a practical liquidity checklist.

What Are Options? A Complete Beginner's Guide

What Are Options? A Complete Beginner's Guide

Learn what options are, how calls and puts work, and why traders use them. Real examples with AAPL and a free simulator to practice.