Sharpe ratio

The Sharpe ratio measures how much return a portfolio produced for each unit of volatility it took on. Here is how Gylder calculates it and how to read it.

These figures are derived from a return series that the app currently flags as being reworked. Values and holdings are unaffected. See about these numbers.

The Sharpe ratio answers one question: how much return did this portfolio produce for each unit of risk it took on?

Two portfolios can post the same annual return while behaving completely differently along the way. One drifts upwards steadily. The other doubles, halves, and doubles again. The Sharpe ratio is what separates them, because it divides the return by how much the portfolio moved around to get there.

You will find it on the Performance tab of the investments dashboard, in the grid of risk measures below the chart.

How it is calculated

Sharpe ratio = (mean daily return − daily risk-free rate) / standard deviation of daily returns × √252

Gylder works from daily percentage changes in your portfolio's value. It subtracts the daily risk-free rate from the average daily return, divides by the volatility of those returns, and annualises the result with √252, the square root of the number of trading days in a year.

The risk-free rate is subtracted first because a return you could have had without taking any risk is not compensation for taking risk.

The risk-free rate is an assumption

Gylder currently uses a fixed 3% annual risk-free rate. It is a configuration constant, chosen to sit roughly in the euro short rate environment. It is not pulled from a live market feed, and it does not change with the window you select.

This is worth knowing for two reasons. A Sharpe ratio quoted anywhere else was probably computed against a different assumption, so the two are not directly comparable. And when your returns are close to 3%, the choice of rate drives a large share of the result.

How to read it

A higher number means more return per unit of volatility. That is the whole interpretation, and it is worth resisting the urge to read more into it.

Gylder does not label a Sharpe ratio as good or bad, and does not compare yours to a threshold. What counts as a reasonable figure depends on the asset class, the period, and what you were trying to do, and any number we picked would be an opinion presented as a fact.

The comparison that does hold is against yourself. The same portfolio measured over the same length of period, before and after a change in strategy, is a like-for-like reading.

What it misses

The Sharpe ratio treats all volatility as risk, including the upward kind. A portfolio that jumps sharply in your favour is penalised exactly as much as one that falls just as sharply, which does not match how most people experience risk.

That is the specific gap the Sortino ratio exists to close: it uses only downside deviation, so gains no longer count against you. Both sit side by side in the risk grid for that reason.

The ratio also assumes returns are reasonably well behaved. Portfolios concentrated in a few holdings, or holding assets that trade rarely, tend to produce a figure that looks steadier than the position actually is.

For risk measured as the worst actual fall rather than the average spread, see maximum drawdown and the Calmar ratio.

Period sensitivity

The Sharpe ratio is not stable across time windows. The same portfolio measured over one year and over five will produce different figures, because both the return and the volatility are calculated over whatever window you selected.

When you change the date range on the Performance chart, every measure in the grid below it recalculates for that window. Comparing a one year Sharpe against a five year one is not a like-for-like reading.

Was this helpful?