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Options, Risk Math, and Psychology · Position Sizing in Detail

Fixed fractional sizing: the trader's default

Define fixed fractional position sizing, compute share size from account, risk percent, and stop distance, and explain why size scales as the account grows or shrinks.

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Options, Risk Math, and Psychology

Position Sizing in Detail

Lesson 47 of 7563%
Lesson 47 of 75Options, Risk Math, and PsychologyPosition Sizing in Detail

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Define fixed fractional position sizing, compute share size from account, risk percent, and stop distance, and explain why size scales as the account grows or shrinks.

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The most important formula in trading

Fixed fractional sizing is the default for almost every professional trader, and it's where this chapter starts. The idea: instead of picking a position size by feel, you pick a percentage of your account to risk on every trade. Most beginners learn 1%. We'll revisit that number later in the chapter, but the structure of the rule is what matters first.

Wick shows a calculator reading 1 micro under the formula $500 times 1% divided by a $5 stop, showing how fixed fractional sizing picks size by math, not feel.($500 x 1%) / $5 stop =1 lot1 micro
Wick saysSize equals account times risk percent, divided by the stop: $5 over a $5 stop is 1 micro lot.

Here's the formula. Position size = (account equity × risk percent) / stop distance. Say your account is $500 and you want to risk 1% per trade. That's $5 of risk. If your stop is 50 pips away on a forex trade and each pip is worth $0.10 on a micro lot, your stop distance in dollars is $5 per micro lot. $5 risk divided by $5 stop = 1 micro lot. Boring, precise, repeatable.

Why traders love fixed fractional. First, it scales with you. Win five trades and grow the account to $600, your 1% risk is now $6, and your next trade is automatically larger. Lose three and drop to $450, your risk is now $4.50, and your size is automatically smaller. The math handles the throttle for you. Second, it makes blow-ups arithmetically hard. Even ten losing trades at 1% only takes you to roughly $452 — painful, but very far from zero.

Wick compares two cards: at $600 one percent is $6, at $450 it is $4.50, showing that fixed fractional sizing grows and shrinks with the account on its own.At $6001% = $6, so sizegrows a littleAt $4501% = $4.50, sosize shrinks alittle
Wick saysThe same 1% means $6 at $600 and $4.50 at $450, so size moves with the account.

The catch is friction. You have to recompute size every trade. On a $500 account, lot sizes round funny — a 1% risk on a tight stop might call for 1.4 micro lots, and you'll have to round down to 1. That rounding error is real, but it's tiny compared to the cost of guessing your size. Recap: pick a percent, lock in the formula, recompute every trade.

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Answer before moving on.

0 / 2 answered

1. Your account is $500 and you risk 1% per trade. After five wins it's $600. What is your dollar risk on the next trade?

2. What does the formula size = (account × risk%) / stop distance give you?

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