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Sortino Ratio Guide: A Better Measure of Downside Risk

The Sortino ratio is a powerful risk metric that addresses a key flaw in the Sharpe ratio. Developed by Frank Sortino, this ratio focuses specifically on harmful volatility, recognizing that investors are not worried about upside surprises. This guide explains how the Sortino ratio works and why it may be a better measure for your portfolio.

What is the Sortino Ratio?

The Sortino ratio measures risk-adjusted return using only downside deviation instead of total standard deviation. It penalizes only negative volatility, the kind investors actually want to avoid.

The Sortino Ratio Formula:

Sortino Ratio = (Portfolio Return - Target Return) / Downside Deviation

Unlike the Sharpe ratio, upside volatility does not reduce your Sortino ratio.

The Problem with the Sharpe Ratio

The Sharpe ratio treats all volatility as bad. But think about it: if your portfolio jumps 20% in a month, that creates high volatility, yet you are happy about it. The Sharpe ratio penalizes this positive surprise the same as a 20% drop.

Example: Why Sharpe Can Be Misleading

Two portfolios with the same 15% average return:

If both have the same standard deviation, they have the same Sharpe ratio. But clearly Portfolio A is better. The Sortino ratio would correctly show Portfolio A as superior.

Understanding Downside Deviation

Downside deviation only counts returns that fall below a target or threshold. There are two common approaches:

Example: Calculating Downside Deviation

Monthly returns: +5%, -3%, +2%, -4%, +8%, -1%

Target return: 0%

Returns below target: -3%, -4%, -1%

Downside deviation = Square root of average squared negative returns

= Square root of [(9 + 16 + 1) / 6] = Square root of 4.33 = 2.08%

Calculating the Sortino Ratio Step by Step

Here is how to calculate the Sortino ratio:

Example: Full Sortino Ratio Calculation

Annual data:

Sortino Ratio = (12% - 2%) / 8% = 10% / 8% = 1.25

This means you earn 1.25% of excess return for each 1% of downside risk.

Interpreting Sortino Ratio Values

Guidelines for evaluating Sortino ratios:

Important note: Sortino ratios are typically higher than Sharpe ratios for the same portfolio because they only count downside volatility. Do not compare a Sortino ratio to a Sharpe ratio directly.

Sortino vs Sharpe: When to Use Each

Use Sortino Ratio When:

Use Sharpe Ratio When:

Practical Applications

1. Evaluating Option Strategies

Selling options creates asymmetric returns: many small gains and occasional large losses. The Sortino ratio better captures this risk profile than the Sharpe ratio.

2. Trend-Following Systems

Momentum strategies often have many small losses and occasional large gains. Sortino ratio will not penalize the large gains, giving a fairer risk assessment.

3. Comparing Fund Managers

Two managers with equal Sharpe ratios may have very different Sortino ratios if one experiences more downside volatility.

Example: Real Comparison

Two managers with identical Sharpe ratios of 0.8:

Manager A delivers better downside protection despite similar overall risk-adjusted returns.

Limitations of the Sortino Ratio

The Sortino ratio is not perfect:

Tips for Using the Sortino Ratio

Calculate Your Portfolio's Sortino Ratio

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Summary

The Sortino ratio provides a more nuanced view of risk-adjusted returns by focusing only on downside volatility. For many investors, this is a more relevant measure of risk than the Sharpe ratio. By using both metrics together, you can better understand whether your portfolio is truly well-managed or simply benefiting from positive volatility that masks underlying downside risk.

Continue learning about risk metrics with our guides on maximum drawdown and the Sharpe ratio.