Monday, June 4, 2018

Portfolio Performance Evaluation Risk/Return Measures


Type of risk measure
Advantages
Comments
Comments 2
Sharpe Ratio
Total Risk

Assumes normally distributed returns, based on the CAPM, slope of the CML
Biased upwards for hedge funds
Uses portfolio total risk instead of systematic risk
Sortino Ratio
Total Risk
Good for hedge funds
Good for assets with skewed distribution of returns
Improves on the Sharpe Ratio that penalizes for good performance which is incorporated in the up side deviation

Information Ratio (Appraisal Ratio)
Total Risk
Used to measure active performance of mutual funds
Higher information ratio (0.4-0.6) is considered better. The index has zero IR
IR = active return/active risk

IR = IC x BR ^ (0.5)
Jensen’s alpha
Systematic
Used frequently to evaluate mutual fund performance
Based on the CAPM

Treynor
Systematic
Overcomes the Sharpe ratio limitation that it uses total risk
Slope of the SML

M squared
Total Risk
The Sharpe ratio is awkward to interpret when it is a negative value. M squared is always positive.
A skillful manager will generate an M2 greater than the return on the market
Rf + SR of asset x Market STD. M^2 measure ranks in agreement with the Sharpe ratio

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