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Advanced · Lesson 4 of 6Measuring risk-adjusted performance
The Sharpe ratio is excess return (over cash) divided by volatility. A higher Sharpe means more return per unit of risk. The Sortino ratio uses only downside volatility, so it does not penalise upside swings. The Calmar ratio divides return by maximum drawdown.
Maximum drawdown is the largest peak-to-trough fall. It matters because losses compound unevenly: a 50% fall needs a 100% gain to recover.
Value at Risk (VaR) estimates the loss not exceeded with a given confidence, for example "95% one-month VaR of $10,000". It says nothing about how bad the worst 5% can be; Conditional VaR (expected shortfall) fills that gap. Vestora's portfolio risk panel shows several of these.
Formula
Sharpe = (Rp - Rf) / σp Sortino = (Rp - Rf) / σdownside Recovery gain = 1 / (1 - loss) - 1
Key takeaways
- Sharpe = (Return - Rf) / Volatility.
- A 50% loss needs a 100% gain to recover.
- VaR ignores tail size; expected shortfall measures it.
Check your understanding
1. Return 10%, cash 4%, volatility 15%. Sharpe ratio?
- 0.27
- 0.40
- 0.67
- 2.5
Show the answer
0.40. (10 - 4) / 15 = 0.40.
2. After a 40% fall, what gain is needed to get back to even?
- 40%
- 50%
- 66.7%
- 100%
Show the answer
66.7%. 1 / 0.6 - 1 = 66.7%.
Go deeper
- Wikipedia: Sharpe ratio
- YouTube videos: sharpe ratio sortino max drawdown value at risk explained
- Investopedia: sharpe ratio
- Wikipedia: Sortino ratio
- Wikipedia: Value at risk
- Wikipedia: Expected shortfall
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