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Investing · ETF Metrics

Sharpe ratio — formula, calculation, UK context

The Sharpe ratio measures excess return per unit of risk. A higher Sharpe means more return for each unit of volatility taken. Here's exactly how UK Tax Drag calculates it, what risk-free rate we use, and what Sharpe can and can't tell you about an ETF.

5-minute read

The Sharpe ratio is annualised excess return divided by annualised standard deviation: Sharpe = (RETF − Rf) / σETF. For UK ETFs we use the 3-month UK gilt yield from Bank of England as the risk-free rate (Rf), and 3-year monthly returns for both the excess return and the standard deviation. Sharpe > 1 is good, > 2 is excellent, < 0 means you'd have been better in cash. Critical caveat: Sharpe treats upside volatility and downside volatility as equally bad — see Sortino for the asymmetric version.

The formula

Sharpe = (Rp − Rf) / σp

where:
  Rp  = annualised return of the portfolio/ETF
  Rf  = annualised risk-free rate (3-month UK gilt yield)
  σp  = annualised standard deviation of portfolio/ETF returns

Annualisation:
  Monthly return:    Rannual = (1 + Rmonthly_mean)12 − 1
  Monthly std dev:   σannual   = σmonthly × √12

The Sharpe ratio answers: "for each 1% of annualised volatility, how much annualised return above cash did this ETF deliver?"

Inputs we use

InputSourceNotes
ETF returns (Rp)Issuer + LSE36 months, GBP, total return
Risk-free rate (Rf)Bank of England 3-month gilt yield, average over 36-month windowAnnualised by BoE
Standard deviation (σp)Same monthly returns, std dev × √12 to annualiseSample standard deviation (n−1 denominator)

UK risk-free rate — why 3-month gilt

The "risk-free rate" is a notional return you could get with zero risk. For UK investors:

UK Tax Drag uses the 3-month gilt yield because:

The choice of Rf rarely changes Sharpe ratings dramatically — but the 50bps difference between gilt and best-easy-access ISA can move a borderline Sharpe by 0.05-0.10 over a 3-year window.

Worked example — VWRL Sharpe ratio

Vanguard FTSE All-World UCITS ETF (VWRL), 3 years ending April 2026.

VWRL annualised return (3-year, GBP TR)+11.3%
UK 3-month gilt yield (3-year average)+4.2%
VWRL annualised standard deviation14.8%
Excess return (11.3 − 4.2)7.1%
Sharpe = 7.1 / 14.80.48

VWRL's 3-year Sharpe of 0.48 is roughly in line with broad-equity historical norms. Reading it: over this 3-year period, each 1% of annualised volatility delivered 0.48% of annualised excess return.

Compare to a hypothetical scenario: in a particularly good 3-year window (say 2017-2019) VWRL might show Sharpe 1.0+. In a particularly bad period (2007-2009) it might show negative Sharpe. The 3-year choice is a deliberate balance between recency and statistical stability.

What Sharpe tells you

What Sharpe does NOT tell you

How to reproduce this yourself

  1. Download 36 months of GBP-denominated monthly closes for your ETF (issuer page or Yahoo Finance).
  2. Calculate monthly returns: =(Pt/Pt-1) − 1.
  3. Calculate annualised return: =((1 + AVERAGE(returns))12) − 1.
  4. Calculate annualised std dev: =STDEV.S(returns) * SQRT(12).
  5. Look up the 3-year average UK 3-month gilt yield (Bank of England statistics database — series IUMAJNB or similar).
  6. Sharpe = (annual_return − risk_free_rate) / annual_std_dev.

Cross-check: many ETF providers publish Sharpe on the factsheet. Yours should be within ~5% — small differences come from FX conversions, slightly different Rf definitions, and price source variations.

Sources and methodology

Sharpe ratio originally developed by William Sharpe (1966). Standard application follows Bodie/Kane/Marcus textbook treatment. Bank of England 3-month gilt yield is the published series IUMAJNB. The ETF Data Methodology documents all data sources. The site methodology documents the broader review process.

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