The maths of losses
Risk Management

The maths of losses

7 cards and 4 quick questions. About 2 min.

The lesson in full

  1. Losses and gains aren't mirror images. That simple maths fact is why professionals care more about protecting money than chasing big wins.

  2. A drawdown is the fall from your highest balance to the lowest point after it. Going from 10,000 to 8,000 is a 20% drawdown.

  3. Lose half and you need to double your money, +100%, just to get back to where you started.

  4. The pattern: −10% needs +11%. −20% needs +25%. −50% needs +100%. −90% needs +900%.

  5. Real example: from 2007 to 2009 the S&P 500 fell about 57%. Even counting dividends, it took around five years to get back above its old high.

  6. Common mistake

    Mistake: “I'll double my position to win it back faster.” Bigger bets after losses deepen drawdowns and can end your account.

  7. Key takeaway

    Small, controlled losses are easy to recover from. Big ones aren't. Protect the downside first.

Quick check

  1. After a 50% loss, you need how much gain to get back? +100%Half of 10,000 is 5,000, and 5,000 must double to return to 10,000.
  2. A drawdown is... The fall from a peak to a lowIt measures how far your balance fell from its highest point.
  3. Why limit losses? Big losses are hard to recover fromThe deeper the hole, the bigger the gain needed to climb out.
  4. Your account falls from 10,000 to 8,000. To get back, you need... +25%8,000 × 1.25 = 10,000. The gain needed is bigger than the 20% lost.

Words in this lesson

Risk Management

  1. Your safety exit: stop loss
  2. How much to risk
  3. Risk and reward
  4. Win rate isn't everything
  5. The maths of losses
  6. Staying in the game
  7. Backtesting and overfitting
Practise it now: Stop Loss Sniper Practise it now: Survival Math Practise it now: Martingale Trap
Try it with live numbersProfit calculatorProfit, loss and risk/reward of a trade