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How Do Efficiency Metrics Correlate? Would possibly Fund Managers Cherry-Choose?

September 18, 2023
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Portfolio managers report their risk-adjusted efficiency utilizing Sharpe, Treynor, data, and Sortino ratios, amongst different widespread metrics.

In fact, with numerous measures to decide on amongst, would possibly fund managers be tempted to cherry-pick people who replicate most favorably on their efficiency? Maybe, however the potential for strategic choice solely turns into an actual downside if the efficiency metrics have weak or destructive correlations.

If all of them have excessive constructive correlations, then there actually is not any choice recreation to play. If , or dangerous, Sharpe ratio means related Treynor, data, and Sortino ratios, then it hardly makes a distinction which one (or two) is reported.

So, how do these main efficiency metrics correlate, and have their correlations modified over time?

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To reply these questions, we pulled all lively mutual fund supervisor returns for large-cap fairness funds going again to the Fifties. We then calculated every fund’s Sharpe, Treynor, Sortino, and data ratio on a one-year rolling foundation. With this knowledge, we explored how the rank ordinal correlation between the metrics appears to be like over every decade and over the total time interval.

First, over the total time interval, Sharpe and Treynor ratios have excessive constructive correlations as do the data and Sortino ratios. However each Sharpe and Treynor ratios are weakly correlated with the data and Sortino ratios. So, if a fund supervisor showcases their Sortino ratio and doesn’t spotlight their Sharpe or Treynor ratio, it might sign that they’re strategically choosing which measures to current.


Efficiency Metric Correlations: All Durations, 1950 to 2023

Sharpe Ratio Treynor Ratio Data Ratio Sortino Ratio
Sharpe Ratio 1 0.95 0.25 0.24
Treynor Ratio 0.95 1 0.24 0.23
Data Ratio 0.25 0.24 1 0.99
Sortino Ratio 0.24 0.23 0.99 1

Subsequent, we examined the rank ordinal correlation of the 4 measures over every decade. The identical sample holds pretty regular from 1950 to 2020. We didn’t see any inordinate divergence within the correlations over the roughly 70 years underneath assessment.


Efficiency Metric Correlations: Fifties

Sharpe Ratio Treynor Ratio Data Ratio Sortino Ratio
Sharpe Ratio 1 0.95 0.11 0.09
Treynor Ratio 0.95 1 0.01 -0.01
Data Ratio 0.11 0.01 1 0.99
Sortino Ratio 0.09 -0.01 0.99 1

Efficiency Metric Correlations: Nineteen Sixties

Sharpe Ratio Treynor Ratio Data Ratio Sortino Ratio
Sharpe Ratio 1 0.97 0.35 0.32
Treynor Ratio 0.97 1 0.36 0.33
Data Ratio 0.35 0.36 1 0.98
Sortino Ratio 0.32 0.33 0.98 1

Efficiency Metric Correlations: Nineteen Seventies

Sharpe Ratio Treynor Ratio Data Ratio Sortino Ratio
Sharpe Ratio 1 0.98 0.38 0.33
Treynor Ratio 0.98 1 0.37 0.32
Data Ratio 0.38 0.37 1 0.98
Sortino Ratio 0.33 0.32 0.98 1

Efficiency Metric Correlations: Eighties

Sharpe Ratio Treynor Ratio Data Ratio Sortino Ratio
Sharpe Ratio 1 0.97 0.25 0.23
Treynor Ratio 0.97 1 0.23 0.20
Data Ratio 0.25 0.23 1 0.98
Sortino Ratio 0.23 0.20 0.98 1

Efficiency Metric Correlations: Nineties

Sharpe Ratio Treynor Ratio Data Ratio Sortino Ratio
Sharpe Ratio 1 0.92 0.26 0.26
Treynor Ratio 0.92 1 0.22 0.21
Data Ratio 0.26 0.22 1 0.99
Sortino Ratio 0.26 0.21 0.99 1

Efficiency Metric Correlations: 2000s

Sharpe Ratio Treynor Ratio Data Ratio Sortino Ratio
Sharpe Ratio 1 0.97 0.27 0.25
Treynor Ratio 0.97 1 0.26 0.24
Data Ratio 0.27 0.26 1 0.99
Sortino Ratio 0.25 0.24 0.99 1

Efficiency Metric Correlations: 2010s

Sharpe Ratio Treynor Ratio Data Ratio Sortino Ratio
Sharpe Ratio 1 0.93 0.41 0.4
Treynor Ratio 0.93 1 0.44 0.43
Data Ratio 0.41 0.44 1 0.99
Sortino Ratio 0.40 0.43 0.99 1

Lastly, we explored the correlations throughout recessions to see in the event that they fell aside on the most important moments. Of the seven recessions because the Fifties, once more we discovered that the correlations stayed fairly just like what they had been throughout non-recession intervals.

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In all, the outcomes present that since Treynor and Sharpe ratios are extremely correlated, whether or not a fund supervisor stories one and never the opposite is just not particularly materials. The identical holds with the data and Sortino ratios.

However because the Treynor and Sharpe ratios are weakly correlated with the latter two metrics, managers might have the chance for strategic reporting. So, if a fund supervisor stories their Sortino or data ratio however goes silent on their Sharpe and Treynor ratios, it might replicate a strategic play and warrant additional investigation.

In case you appreciated this put up, don’t neglect to subscribe to Enterprising Investor.


All posts are the opinion of the writer. As such, they shouldn’t be construed as funding recommendation, nor do the opinions expressed essentially replicate the views of CFA Institute or the writer’s employer.

Picture credit score: ©Getty Photographs / Uwe Krejci


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CFA Institute members are empowered to self-determine and self-report skilled studying (PL) credit earned, together with content material on Enterprising Investor. Members can report credit simply utilizing their on-line PL tracker.



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