What Is Risk‑Adjusted Return?

Risk‑adjusted return measures how much return you earn relative to the risk you take. It answers: “Am I being rewarded fairly for the risk in my portfolio?”

Why Risk‑Adjusted Return Matters

  1. Raw returns are misleading: 12% with huge volatility is not the same as 12% with stability.
  2. Compare fairly: Risk‑adjusted metrics level the playing field between assets.
  3. Prevent chasing risk: High returns can hide extreme risk.
  4. Improve long‑term outcomes: Efficient portfolios compound more smoothly.
  5. Optimizer ranking: Your tool uses risk‑adjusted return to score and rank portfolios.

How Risk‑Adjusted Return Is Measured

Several metrics measure risk‑adjusted return. The most common include:

1. Sharpe Ratio (Most Popular)

$$\mathrm{Sharpe\ Ratio}=\frac{R_p-R_f}{\sigma_p}$$ Where Rp is portfolio return, Rf the risk‑free rate, and σp portfolio volatility. Higher Sharpe means better risk‑adjusted performance.

2. Sortino Ratio (Downside‑Focused)

$$\mathrm{Sortino\ Ratio}=\frac{R_p-R_f}{\sigma_{\mathrm{downside}}}$$ Uses only downside volatility, which many investors prefer because upside volatility is not penalized.

3. Treynor Ratio (Beta‑Adjusted)

$$\mathrm{Treynor\ Ratio}=\frac{R_p-R_f}{\beta_p}$$ Uses beta (market sensitivity) instead of total volatility, measuring return per unit of market risk.

4. Information Ratio

$$\mathrm{IR}=\frac{R_p-R_b}{\sigma_{\mathrm{tracking}}}$$ Evaluates active managers versus a benchmark by measuring excess return per unit of tracking error.

Simple Examples

Example 1 — Same return, different risk
Portfolio A: Return 10%, Volatility 5% → Sharpe ≈ 2.0
Portfolio B: Return 10%, Volatility 20% → Sharpe ≈ 0.5 — Portfolio A is 4× more efficient.

Example 2 — Higher return, worse efficiency
Portfolio C: Return 15%, Volatility 30% → Sharpe ≈ 0.5
Portfolio D: Return 10%, Volatility 8% → Sharpe ≈ 1.25 — Portfolio D is more efficient despite lower raw return.

Example 3 — Crypto allocation
Portfolio E: Return 20%, Volatility 60% → Sharpe ≈ 0.33
Portfolio F: Return 12%, Volatility 15% → Sharpe ≈ 0.8 — Portfolio F is far more stable and easier to hold.

Why Risk‑Adjusted Return Improves Long‑Term Investing

Risk‑Adjusted Return and Diversification

Diversification reduces volatility and correlation, improving risk‑adjusted return (e.g., Sharpe). This is why diversified portfolios often outperform concentrated ones on a risk‑adjusted basis.

Risk‑Adjusted Return and the Efficient Frontier

The efficient frontier is constructed from risk and expected return; every point on the frontier represents the best risk‑adjusted trade‑off for a given level of risk. The maximum‑Sharpe (tangent) portfolio sits at the top of the frontier.

How Your Optimizer Uses Risk‑Adjusted Return

How to Interpret Risk‑Adjusted Return

FAQ

Is risk‑adjusted return more important than raw return?

Yes — it gives a more complete picture of portfolio quality by accounting for the cost of risk.

What is a good risk‑adjusted return?

Sharpe above 1.0 is good; above 2.0 is excellent. Context and timeframes matter.

Does diversification improve risk‑adjusted return?

Almost always — diversification lowers volatility and can increase metrics like Sharpe.

Can risk‑adjusted return be negative?

Yes — a negative value means the portfolio underperformed the risk‑free rate on a risk‑adjusted basis.

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