Position Size Calculator: equations, variables, units and worked solution

The position size calculator calculates Position Size — required size from Account Size, Risk Percent, Stop Distance. It does not hide the arithmetic: the result panel shows the governing formula, canonical-unit conversion, numeric substitution, unrounded evaluation and final rounded answer for every output.

Variables and measurement units

For the Position Size Calculator, Account Size, Risk Percent, and Stop Distance are normalized to count and m before accountSize*riskPercent/100/stopDistance is evaluated. The unrounded value used for Position Size — required size is retained internally; formatting is applied only to the result cards.

Formula model

Primary finance equation: accountSize*riskPercent/100/stopDistance.

Formula-based worked derivation

1. Position Size — required size
   1. Formula: Position Size — required size = accountSize × riskPercent ÷ 100 ÷ stopDistance
   2. Default substitution: Position Size — required size = (25000) × (1) ÷ 100 ÷ (2.5)
   3. Unrounded evaluation: 100 units
   4. Displayed answer: 100 units

In the Position Size Calculator, changing Account Size, Risk Percent, and Stop Distance rebuilds the numeric substitution for accountSize*riskPercent/100/stopDistance. The engine converts selected measurements to count and m, retains unrounded values, and, when reverse solving is available, inserts the solved variable back into the same equation to verify Position Size — required size with a numerical residual.

Input and output interpretation

Use measured or documented values for Account Size, Risk Percent, Stop Distance. The calculated outputs are Position Size — required size. Check each intermediate line before relying on the final value; an implausible intermediate quantity usually identifies a unit, range or assumption error.

Algorithm and verification

The Position Size Calculator uses its own `position-size` JavaScript engine to calculate Position Size — required size from Account Size, Risk Percent, and Stop Distance with accountSize*riskPercent/100/stopDistance. Calculator-owned boundary and mode tests check that workflow; an external frozen-reference oracle checks the numeric outputs, and physical source mutation testing confirms that a changed `position-size` engine is rejected.

Visual interpretation

In the Position Size Calculator, this guidance applies to Account Size, Risk Percent, and Stop Distance and the reported Position Size — required size. The `position-size` workflow evaluates accountSize*riskPercent/100/stopDistance in count and m; This is an educational estimate, not tax, legal, lending, investment or accounting advice. Verify current rules and contractual terms.. Verification context: 1d6f96.

Dimensional formula audit

The position size calculator normalizes accountSize (Account Size, count), riskPercent (Risk Percent, dimensionless), stopDistance (Stop Distance, m) before evaluating the equations. Its reported quantities are Position Size — required size in units. This separation matters because a numerical value without its measurement dimension can produce a plausible-looking but physically or financially incorrect answer. Conversion factors are applied before substitution, and output conversion occurs only after the canonical result has been calculated at full precision.

• Position Size — required size = accountSize × riskPercent ÷ 100 ÷ stopDistance

Formula sensitivity and boundary verification

To verify the position size calculator, hold all other inputs fixed and change accountSize within its permitted range. The live substitution line shows exactly where that value enters the equation for Position Size — required size. Repeat the check with riskPercent. The result must follow the displayed algebra, remain finite, and retain the stated output unit. At minimum and maximum boundaries, the validator rejects undefined domains, impossible denominators and nonphysical values rather than silently returning a number.

Manual reproduction of the result

For an independent hand check, first convert every selected unit to the canonical units shown in the variable table. Next copy the governing equation, replace each symbol with the canonical value shown in the live derivation, and calculate the intermediate expression without early rounding. Finally round only once to the displayed precision and compare both the numerical value and unit with the calculator card. This process makes the position size calculator reproducible instead of relying on an unexplained result.

Limitations

For the Position Size Calculator, This is an educational estimate, not tax, legal, lending, investment or accounting advice. Verify current rules and contractual terms.. The calculator applies accountSize*riskPercent/100/stopDistance to Account Size, Risk Percent, and Stop Distance and reports Position Size — required size; confirm the real-world data, code, product specification, or professional standard before acting on a consequential result.