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.