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Understanding the Sortino Ratio


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    Highlights

  • The Sortino ratio differentiates from the Sharpe ratio by using only downside deviation instead of total standard deviation to measure risk
  • It calculates excess return divided by downside risk, offering a better view of performance per unit of bad volatility
  • A higher Sortino ratio indicates more efficient returns relative to negative risks taken
  • Investors should use consistent return types and consider professional advice for accurate application
Table of Contents

Understanding the Sortino Ratio

If you're evaluating investments, the Sortino ratio can help you assess returns relative to bad risk. Let me break it down for you.

The Sortino ratio is essentially a tweak on the Sharpe ratio. It separates harmful volatility from overall volatility by focusing on the standard deviation of negative returns, or downside deviation, rather than the total standard deviation.

To compute it, you take the asset's or portfolio's return, subtract the risk-free rate, and divide by the downside deviation. This metric is named after Frank A. Sortino, and it's designed to give you a clearer picture of risk-adjusted performance.

Key Takeaways

  • The Sortino ratio only accounts for the standard deviation of downside risk, unlike the Sharpe ratio which includes all risk.
  • It emphasizes negative deviations from the mean return.
  • This approach provides a better evaluation of risk-adjusted performance since positive volatility benefits investors.
  • A higher ratio means the investment delivers more return per unit of bad risk.

Formula and Calculation

Here's the formula you need: Sortino Ratio = (Rp - rf) / σd, where Rp is the actual or expected portfolio return, rf is the risk-free rate, and σd is the standard deviation of the downside.

When you calculate this, make sure you're consistent with the return types to keep things accurate. You can use the risk-free rate or even expected returns in your computations.

What the Sortino Ratio Reveals

This ratio tells you how well an investment performs for a given level of bad risk. By using only downside deviation, it avoids the issue of penalizing upside volatility, which is actually good for you as an investor. That's why it's a practical tool for investors, analysts, and portfolio managers.

Example of Using the Sortino Ratio

A higher Sortino ratio is preferable, much like with the Sharpe ratio. If you're comparing two similar investments, go for the one with the higher ratio—it means better returns per unit of bad risk.

Take Mutual Fund X with a 12% annualized return and 10% downside deviation, and Mutual Fund Z with 10% return and 7% downside deviation. Assume a 2.5% risk-free rate.

For Fund X: (12% - 2.5%) / 10% = 0.95. For Fund Z: (10% - 2.5%) / 7% = 1.07. Even though Fund X has a higher return, Fund Z is more efficient based on downside risk, making it the better choice here.

Defining Key Terms

Downside risk is the potential loss you face when an asset's price drops in a volatile market. High downside risk should come with the potential for higher returns to justify it.

The risk-free rate is a hypothetical benchmark, often tied to returns on safe government Treasury notes, representing what you'd earn with negligible risk.

Expected return is the anticipated rate of return on an asset, based on historical data, helping you align your risk tolerance and goals.

The Bottom Line

The Sortino ratio refines the Sharpe ratio by focusing on downside deviation rather than total volatility, avoiding punishment for positive returns. Choose between them based on whether you want to consider all deviation or just the negative side.

It all depends on your investment goals. If you're uncertain, consult a professional. Remember, this information is for educational purposes only—check disclaimers for details.

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