Finance & Investment · Risk & Portfolio
Sortino Ratio Calculator
Paste a series of periodic returns to get the Sortino ratio — return above your minimum acceptable return per unit of downside deviation — alongside the Sharpe ratio, annualised return and volatility.
Your inputs
Quick start — try a typical case
One return per row in %, oldest first. Paste a column from Excel.
Returns below this count as 'bad'. Often 0 % or the risk-free rate.
Your result Live
Sortino Ratio
1.76
8.51% a year vs 0.00% target, ÷ 4.83% downside deviation
- Sharpe Ratio (for comparison)
- 0.25
- Annualised Return
- 8.51%
- Downside Deviation (annualised)
- 4.83%
- Volatility (annualised)
- 7.91%
- Periods Below Target
- 8 of 24
- Average Period Return
- 0.71%
How this is calculated
Sortino = (Annualised return − MAR) ÷ Downside deviation; DD = √(Σ min(0, rₖ − mar)² ÷ N) × √periods per year
- MAR
- Minimum acceptable return (yearly; converted to the period rate)
- N
- Number of periods — all of them, not just the bad ones
Volatility treats a big up-month as 'risk' just like a big down-month. Investors mostly care about the downside, so the Sortino ratio divides excess return by downside deviation only. A fund whose swings are mostly upward scores much better on Sortino than on Sharpe.
Assumptions & sources
- Returns are simple periodic returns in %, oldest first; annualised by compounding.
- Downside deviation uses all observations in the denominator (Sortino & Price, 1994).
- 1Performance Measurement in a Downside Risk Framework (Sortino & Price, 1994) — Journal of Investing
- 2Investments (Bodie, Kane & Marcus), chapters on returns, compounding and the time value of money — McGraw-Hill
Calculator ID FIN-RISK-SORTINO-001 · version 1.0.0
Common questions
Sortino or Sharpe?
Use both. Sharpe penalises all volatility; Sortino only harmful volatility. A big gap between them means the fund's swings are mostly on the upside (or downside).
What MAR should I use?
0 % to measure risk of losing money, or the risk-free rate to measure risk of under-performing safe assets.