R-Multiple Calculator

Enter risk amount (1R) and profit or loss to get the R-multiple result.

Executive Summary: Calculate R-multiple for closed trades to measure performance independent of position size.

Calculator Inputs

Standardized Trade Size
ⓘ
₹
ⓘ
₹
ⓘ
₹

What is an R-Multiple?

+3.00 R (WIN)
Risk Unit: 1R Risk = ₹100.00
Spread: +300.00 pts
Van Tharp Ratio
-2.0 R (Outlier) -1.0 R (SL) 0.0 R (BE) +1.5 R +3.0 R +5.0 R
Actual Exit
Van Tharp Benchmark Standard Positive System Expectancy Edge
1R Invalidation: ₹100.00
P&L Points: +300.00 pts
Result: WIN (+3.00 R)

Primary Results

Formula Output: R = (Exit - Entry) / 1R

Realized R-Multiple

+3.00 R

Gained 3.0x your initial trade risk

Trade Status

WIN

Closed profitably above Entry Price

Realized P&L (Points)

+300.00 pts

Spread: 22,300 - 22,000

Initial 1R Risk

1.0 R
₹100.00 / share

Invalidation distance from entry

Van Tharp Scenario & Expectancy Distribution Matrix

Evaluating trade outcome relative to predefined risk metrics across potential scenario states.

System Expectancy: +1.20 R
Scenario State Exit Price (₹) R-Multiple Points Yield Portfolio Equity Impact (1% Risk Model) Statistical Class
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What is an R-Multiple?

The R-Multiple concept, pioneered and popularized by world-renowned performance coach Dr. Van K. Tharp, standardizes trading performance regardless of account equity or lot size. In professional risk planning, "1R" always equals your initial unit of risk—the exact monetary distance between your trade entry point and your predefined stop-loss exit.

The Mathematical Formula

Initial Risk (1R) = | Entry Price - Stop Loss Price |
Realized P&L = (Exit Price - Entry Price) × [Direction Multiplier: +1 Long, -1 Short]
R-Multiple Result = Realized P&L ÷ Initial Risk (1R)

Worked Calculation Example

If you purchase a share or index contract at ₹22,000 and place your stop loss at ₹21,900:

  • Your 1R (Initial Unit Risk) is ₹100.
  • If you exit the trade at ₹22,300, your Realized P&L is +₹300.
  • Your R-Multiple is: ₹300 ÷ ₹100 = +3.00 R.
  • Conversely, if stopped out cleanly at ₹21,900, your result is exactly -1.00 R.

Key Institutional Insight: Consistently measuring your edge in R-Multiples is the fastest way to verify whether your trading system maintains positive mathematical expectancy across differing market cycles, irrespective of market volatility.

Frequently Asked Questions — R-Multiple & Expectancy

Key concepts and performance metrics from Van Tharp risk management

Why is R-Multiple superior to calculating percentage (%) returns?

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Percentage returns fluctuate with position sizing and leverage. A 10% gain on an undersized position might return less money than a 1% gain on a heavily leveraged trade. R-Multiple standardizes every trade against your actual planned risk budget, ensuring consistent metric comparisons.

Can an R-Multiple be worse than -1.00 R?

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Yes. If an overnight gap or extreme slippage bypasses your stop-loss order, you might realize an outcome such as -1.50 R or -2.00 R. Tracking these negative outliers is crucial to understanding tail risk in your portfolio.

How does mathematical expectancy relate to R-Multiples?

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Expectancy = (Win Rate × Average Win R) - (Loss Rate × Average Loss R). If your average win is +2.5 R and win rate is 40%, with losses kept at 1.0 R: (0.40 × 2.5) - (0.60 × 1.0) = +0.40 R per trade. You possess a mathematically winning trading edge.

How do you calculate R-Multiple on a Short position?

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For Short positions, R-Multiple = (Entry Price - Exit Price) / (Stop Loss Price - Entry Price). If you sell at ₹22,000 with a stop at ₹22,100 (1R = 100 pts) and cover at ₹21,700, your realized gain is +300 pts, which equals +3.00 R.

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