Skip to main content
Intermediate track
IntermediateLesson 21

Reward per unit of risk

Reward per unit of risk

Smart scoring compares how much reward you earned for the bumpiness you took.

In short

Risk-adjusted ratios divide your return by the risk you took. The Sharpe ratio is the classic; Sortino and Calmar are cousins that focus on the downside.

The Sharpe ratio measures return above a safe rate, per unit of volatility. Higher means you were paid better for the bumps you endured.[1]

smooth — higher Sharpebumpy — same finish, lower Sharpe
Same finish, smoother ride — that earns a higher Sharpe ratio.
Sharpe ratio — try it
0.50
Decent risk-adjusted return

Sharpe = (return − risk-free rate) ÷ volatility. Higher means more reward for the bumpiness you took.

  • Sharpe — reward per unit of total bumpiness, up and down.
  • Sortino — reward per unit of downside bumpiness only, since upside swings don’t scare anyone.
  • Calmar — reward compared with the worst drawdown.

Two students score 90%. One studied calmly; the other pulled frantic all-nighters. Same grade, very different “reward per unit of stress.”

No single number is perfect, but these stop you from being fooled by a high return that only came with stomach-churning risk.

Where these numbers come from

Finisdom computes Sharpe against the real risk-free rate from FRED, plus Sortino and Calmar, for any mix you build.

Check your understanding

What does the Sortino ratio focus on that Sharpe doesn’t?

Sources & further reading

  1. 1.William F. Sharpe (1966) Mutual Fund Performance — The Journal of BusinessIntroduced the reward-to-variability ratio now known as the Sharpe ratio.

Related

Tripped up by a word? Look it up in the glossary.

Learning only — not investment advice.