Trading Math Fundamentals
Expectancy, win rate, R-multiples — the arithmetic that decides outcomes.
All 13 guides
How Many Trades Do You Need to Know If a Strategy Works?
Swap Fees Explained: What Holding a Trade Overnight Really Costs
Raw ECN vs Standard Account: Which Actually Costs Less?
What Is a Pip in Forex? A Complete Guide for Beginners
If you've spent more than ten minutes reading about forex trading, you've encountered the word "pip." Most beginner resources define it as "the smallest price movement" and move on. That's technically correct but practically incomplete — because the dollar value of one pip changes with every instrument, lot size, and account currency, and getting it wrong leads directly to position sizing errors.
How to Read a Broker Risk Warning (and What 77% Actually Means)
Kelly Criterion Explained for Retail Traders
The Math of Prop Firm Challenges: Are They Actually Worth It?
Prop trading firms have become the dominant path for retail traders who want access to significant capital without risking their own money. The pitch is compelling: pay a challenge fee, prove you can trade within their rules, and receive a funded account of $25,000 to $200,000 or more with an 80–90% profit split.
Monte Carlo Simulation: Why Your Backtest Is Lying to You
You ran a backtest. Your strategy made money. The equity curve climbed, there were some drawdowns, and the final balance was satisfying. Three months into live trading the account is down 30% and the strategy "isn't working." What happened is almost never what traders think. The strategy didn't break. What happened is that the backtest showed you one possible sequence of results, and you traded a different one.
What Win Rate Do You Actually Need to Be Profitable?
If you asked a hundred retail traders what makes a strategy profitable, most would say "a high win rate." Win more than you lose, make money. The problem is that this is wrong — and this misunderstanding is responsible for more blown accounts than almost any other belief in retail trading.
The Honest Math Behind Compounding Returns
The most seductive chart in trading education shows a smooth, accelerating curve climbing from bottom-left to top-right. The math checks out. The chart is technically accurate. What it does not show is what the actual path looks like — with losing months, trading costs, and the compounding effect of drawdowns working against you as efficiently as compounding gains work for you.
What Is Trading Expectancy and Why It Matters More Than Win Rate
Most traders track their win rate. They celebrate when it climbs above 50%, worry when it drops below, and use it as the primary measure of whether their strategy is working. This is a mistake.
Expectancy, explained without the mysticism
One number decides whether time is working for you or against you. It takes five minutes to learn and most traders never calculate it.