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Sharpe ratio: definition, calculation, BTC vs ETH

Return relative to the volatility endured. The higher it is, the more the return was earned with moderate turbulence.

Chart comparing bitcoin and ether over 3 years: annualised return 44% and 16%, volatility 47% and 67%, Sharpe ratio 1.01 and 0.56.
Annualised return, annualised volatility and Sharpe ratio (risk-free rate at 0) of BTC and ETH, from 8 October 2023 to 7 October 2026.Chart licensed under CC BY 4.0: you may reuse it with the credit “Metena (metena.app)”.

Definition

The Sharpe ratio divides the average return by its volatility. Two investments that earn the same do not have the same Sharpe if one gets there through much stronger swings.

In traditional finance, the risk-free rate is subtracted first. Here it is set to 0 for simplicity. Above 1, the return was earned with reasonable volatility; below 0.5, the swings weighed heavily against the gain.

The Sharpe ratio treats sharp rises like sharp falls. For a measure that only penalises the downside, use the Sortino ratio.

How to read the chart

Three panels, three measures over the same 3-year period: annualised return, annualised volatility and the Sharpe ratio, which is roughly the ratio of the two.

BTC in gold, ETH in green.

Worked example

From 8 October 2023 to 7 October 2026, bitcoin returned 44% a year with 47% volatility: a Sharpe of 1.01. Ether returned 16% a year with 67% volatility: a Sharpe of 0.56. The Sharpe is calculated on daily returns, annualised over 365 days.

In Metena

Metena calculates the Sharpe of your actual portfolio and of your backtests, alongside the Sortino, volatility and maximum drawdown.

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Related terms

Volatility
The size of an asset’s price swings. High volatility means large moves, up as well as down.
Maximum drawdown
The largest fall, as a percentage, from a peak to the low that follows. It measures what you must be able to withstand without abandoning your strategy.
Backtest
Replaying a strategy on past data to measure what it would have delivered. Useful for testing rules, but the past does not predict the future.
Percentile (p5, p95)
The 5th percentile is the value below which 5% of simulated scenarios fall; the 95th is the value only 5% exceed. They bound the low and high scenarios.

Related guides

How to read a crypto backtest without being fooled
Return, maximum drawdown, overfitting, Monte Carlo: how to read the results of a crypto strategy backtest, with real bitcoin examples.

Put these ideas into practice.

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Educational content. It is not investment advice. Crypto-assets carry a high risk that can go as far as the total loss of capital.