Education

Risk Adjusted Returns Explained: Why Raw Return Is Never the Whole Answer

A risk adjusted return measures how much return was earned per unit of risk taken. It exists because two portfolios with the same return can involve completely different risk.

A risk adjusted return measures how much return a portfolio earned for the risk it took, rather than how much it earned full stop. It exists because a return figure on its own is an incomplete sentence: two portfolios can deliver identical returns while one held steady and the other put its owner through a fall deep enough to make holding it impossible.

The general shape of every such measure is the same. Put a return figure on top. Put a risk figure on the bottom. Divide. The whole family differs only in what each side means, and every argument about which measure is right is really an argument about what risk means for the decision in front of you.

What it measures

Take the numerator first. It is almost never the raw return. Most measures use an excess return: the portfolio’s return minus something the investor could have had without taking the risk in question.

  • Subtracting a risk free rate, usually a short government instrument, asks how much was earned beyond simply parking the money.
  • Subtracting a benchmark’s return asks how much was earned beyond the market exposure the portfolio was supposed to represent.
  • Subtracting a minimum acceptable return asks how much was earned beyond what the investor needed.

Each subtraction defines what counts as “for free” and therefore what the manager should not get credit for.

Now the denominator, which is where the family branches:

MeasureRisk in the denominatorThe question it answers
Sharpe ratioTotal volatility of returnsReturn per unit of overall variability
Sortino ratioDownside deviation onlyReturn per unit of bad variability
Calmar ratioMaximum drawdownReturn per unit of worst realised loss
Treynor ratioBeta against an indexReturn per unit of market sensitivity
Information ratioTracking error against a benchmarkActive return per unit of benchmark deviation

Reading down that column is the fastest way to understand the whole subject. There is no single correct denominator, because there is no single correct definition of risk. A pension trustee worried about funding volatility, a family office worried about a drawdown deep enough to force a change of plan, and an allocator judging one sleeve inside a larger portfolio are asking three different questions, and each has a natural denominator.

How to read it

Match the measure to the decision. If the concern is whether a fall would be tolerable, maximum drawdown in the denominator speaks to that directly and volatility does not. If the holding is one component of a diversified whole, only its market-linked risk survives diversification, which points to a beta based measure. Choosing the measure first, then computing it, is the honest order. Computing several and quoting the best one is not.

Insist on identical periods, frequencies and conventions. Nearly every apparent difference between two published figures dissolves when you discover one was computed on monthly returns over three years and the other on daily returns over one. Annualisation conventions, the risk free rate used, and the benchmark chosen all shift results.

Treat short histories with suspicion. These are ratios of estimates, and both the numerator and the denominator are noisy. Over a year or two, the figure is dominated by chance. Distinguishing genuine skill from luck in a return series is statistically hard and takes far more data than most track records contain.

Read the two halves separately before reading the ratio. A ratio can improve because return rose or because measured risk fell, and those are different stories. A portfolio that shifted into less volatile holdings and one that found better ideas can print the same improvement.

Cross-check with a path measure. Volatility and downside deviation are computed from an unordered bag of returns and are blind to sequence. Drawdown is not. A portfolio can look strong on a dispersion-based ratio while having spent years underwater, so read at least one path-based statistic alongside.

Compare against a fair benchmark, not a convenient one. Any measure built on excess return over a benchmark is only as meaningful as the benchmark. This is why benchmark selection is a substantive decision rather than an administrative one.

Look at the ratio’s stability, not one print. A rolling series of the ratio over time shows whether the result came from a consistent process or from one exceptional stretch that still dominates the trailing window.

What it does not tell you

It does not tell you whether the return will continue. Every one of these measures is computed from history. Nothing in the arithmetic forecasts anything, and a strong past ratio carries no guarantee about the future.

It compresses a rich reality into one number. A single ratio cannot express the shape of a return distribution, the length of the worst underwater stretch, the concentration of the holdings, or the conditions under which the strategy works. It is a summary, and summaries discard information by design.

It can be flattered by illiquidity. Assets that are priced infrequently report smoother returns, which shrinks every volatility-based denominator and inflates every ratio built on one. The improvement is a measurement artifact rather than an economic one, and it makes comparisons across liquid and illiquid holdings unreliable.

It can be flattered by rare, large losses. Strategies that generate many small gains and an occasional severe loss will display excellent risk adjusted returns until the loss occurs, because the losing observations are not yet in the sample. No ratio computed on a period that has not contained the bad event can warn you about it.

It says nothing about why. A ratio cannot distinguish return earned from a repeatable process, return earned from one concentrated bet that happened to work, and return earned from being in the right sector during a favourable stretch. Attribution answers that, not a single number.

It does not survive a careless backtest. A ratio computed on a simulated history that excluded companies which were delisted, used financial data that was later restated, or ignored transaction costs will be higher than anything achievable in reality. Discipline about point in time data and transaction costs determines whether the ratio describes an investable result or a spreadsheet.

It ignores everything outside the return series. Governance quality, key-person dependence, regulatory exposure, capacity limits, and the honesty of the reporting are all real risks. None of them appear in a return series until after they have caused damage.

It offers no threshold for “good”. There is no universal level at which any of these ratios becomes acceptable. Levels vary by asset class, strategy, period and market regime. Anyone quoting a fixed cutoff is asserting a convention, not a fact.

The practical takeaway is unglamorous. Read at least one dispersion-based measure and one path-based measure. Read both halves of each ratio separately. Check the period and the conventions before comparing anything. And treat the whole family as a way of asking better questions about a track record, not as a scoring system that settles them.

This article is educational. Altys Labs is not a registered research analyst or investment adviser, and nothing here is investment advice or a recommendation to buy, sell, or hold any security.

Frequently asked questions

What is a risk adjusted return?

A risk adjusted return expresses how much return a portfolio produced relative to the risk it took on. Most versions are a ratio: some measure of return on top, some measure of risk on the bottom. The point is to make two portfolios comparable when their raw returns alone would mislead.

Which risk adjusted return measure should be used?

It depends on what risk means for the decision at hand. Total variability points to Sharpe, downside variability to Sortino, worst realised fall to Calmar, market sensitivity to Treynor, and deviation from a benchmark to the information ratio. They are different questions, not competing answers to the same one.

Can a risk adjusted return figure be misleading?

Yes. Every version depends on the period chosen, the frequency of the returns, and the risk measure in the denominator. Short histories produce unstable figures, illiquid assets understate risk, and strategies with rare large losses can look excellent until the loss arrives.