Risk-Adjusted Return

Risk-adjusted return measures how much profit a trading strategy generates relative to the risk it takes. Raw returns tell an incomplete story — a 40% annual gain means something very different if achieved with 5% max drawdown versus 35% max drawdown. Risk-adjusted metrics normalize performance against volatility, downside risk, or drawdowns, making it possible to compare strategies on a level playing field. This is one of the most critical risk categories for evaluating whether your edge is real or whether you are simply being compensated for taking excessive risk.

Formula & Calculation

Risk-adjusted return is not a single formula but a family of ratios, each dividing excess return by a specific risk measure:

Sharpe Ratio = (Rp - Rf) / σp

Sortino Ratio = (Rp - Rf) / σd

Calmar Ratio = Annualized Return / Max Drawdown

Treynor Ratio = (Rp - Rf) / β

Information Ratio = (Rp - Rb) / Tracking Error

Where:

• Rp = Portfolio return (annualized)
• Rf = Risk-free rate (3-month T-bill yield)
• σp = Standard deviation of portfolio returns (total volatility)
• σd = Downside deviation (volatility of negative returns only)
• Max Drawdown = Largest peak-to-trough decline
• β = Portfolio beta relative to benchmark
• Rb = Benchmark return
• Tracking Error = Standard deviation of the difference between portfolio and benchmark returns

Each ratio answers a slightly different question. The Sharpe ratio asks how well total volatility is compensated. The Sortino ratio focuses only on harmful volatility. The Calmar ratio evaluates return relative to worst-case drawdown. Treynor measures return per unit of systematic risk, and the Information Ratio measures active return per unit of active risk.

Benchmarks

Level	Sharpe	Sortino	Calmar	What It Means
Excellent	above 2.0	above 3.0	above 5.0	Exceptional risk-adjusted returns — top-tier performance
Good	1.0 - 2.0	1.5 - 3.0	3.0 - 5.0	Solid performance with well-managed risk
Average	0.5 - 1.0	0.75 - 1.5	1.0 - 3.0	Acceptable but room for improvement
Poor	under 0.5	under 0.75	under 1.0	Risk is not adequately compensated

These benchmarks assume a measurement period of at least 3 months with 50+ trades. Strategy type matters — mean-reversion strategies often show higher Sortino ratios due to positive skew, while trend-following strategies may show better Calmar ratios during strong trends.

Practical Example

A trader with a $50,000 account earns 24% annualized return over 6 months (120 trades). The risk-free rate is 4.5%. Monthly returns are: +5.2%, -2.1%, +6.8%, +3.4%, -4.3%, +7.0%. The max drawdown during this period was 8.7%.

Sharpe Ratio: Monthly standard deviation of returns = 4.32%. Annualized σ = 4.32% × √12 = 14.97%. Sharpe = (24% - 4.5%) / 14.97% = 1.30 (Good).

Sortino Ratio: Downside months are -2.1% and -4.3%. Downside deviation = 2.43%, annualized = 8.42%. Sortino = (24% - 4.5%) / 8.42% = 2.32 (Good).

Calmar Ratio: Calmar = 24% / 8.7% = 2.76 (Average).

This trader has a solid Sharpe and Sortino but an average Calmar, indicating that while overall volatility is well-managed, the max drawdown is disproportionately large. The trader should focus on drawdown management — possibly tightening daily loss limits — to improve the Calmar ratio.

How to Track Risk-Adjusted Returns

1. Record complete trade data — Log entry price, exit price, position size, and timestamps for every trade to enable accurate return calculations.
2. Calculate periodic returns — Compute daily or weekly portfolio returns rather than per-trade returns, which captures the effect of overlapping positions.
3. Use rolling windows — Calculate each ratio over rolling 3-month and 12-month windows to identify performance trends rather than relying on a single snapshot.
4. Build a multi-ratio dashboard — Display Sharpe, Sortino, and Calmar side by side so you can see which dimension of risk needs the most attention.
5. Benchmark against your own history — Compare current rolling ratios to your trailing 12-month averages to spot deterioration early.

How to Improve Risk-Adjusted Returns

1. Eliminate low-expectancy setups — Review your trade log by setup type and drop any setup with negative or near-zero expectancy to immediately improve all ratios.
2. Enforce a 1-2% daily loss limit — Capping daily losses directly reduces max drawdown and downside deviation, improving both Calmar and Sortino ratios.
3. Scale position size to conviction — Use the Kelly criterion or a fractional Kelly approach to allocate more capital to high-probability trades and less to speculative ones.
4. Tighten stops on volatile days — Reduce position size or widen stops during high-VIX environments to prevent outsized single-day losses from cratering your ratios.
5. Diversify across timeframes or setups — Combining uncorrelated strategies (e.g., momentum and mean-reversion) reduces overall portfolio volatility without sacrificing returns.

Common Mistakes

1. Relying on a single ratio — The Sharpe ratio ignores downside skew, the Calmar ratio ignores day-to-day volatility, and the Sortino ratio ignores tail risk from drawdowns. Use at least two ratios together for a complete picture.
2. Calculating over too few trades — Risk-adjusted ratios computed on fewer than 30 trades are statistically unreliable and will fluctuate wildly with each new trade.
3. Ignoring the risk-free rate — Omitting Rf inflates your Sharpe and Sortino ratios. With current T-bill yields around 4-5%, this is not a rounding error.
4. Comparing across incompatible timeframes — A Sharpe ratio computed on daily returns is not directly comparable to one computed on monthly returns without proper annualization.
5. Optimizing for one ratio at the expense of others — A strategy that minimizes volatility to boost the Sharpe ratio may suppress returns entirely, producing a technically good ratio on mediocre absolute performance.

How JournalPlus Calculates Risk-Adjusted Returns

JournalPlus automatically computes Sharpe, Sortino, and Calmar ratios on the analytics dashboard from your logged trades, using the current US 3-month T-bill rate as the risk-free rate. The performance charts display rolling ratio values over time so you can see exactly when your risk-adjusted performance improves or deteriorates. You can filter by strategy, setup type, or date range to isolate which approaches deliver the best risk-adjusted returns. Export your ratio history alongside your equity curve and profit factor data for deeper analysis in a spreadsheet.