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An active portfolio manager outperformed the benchmark last year by 2.75 %, where the benchmark is the S&P500 index. In analyzing the portfolio for return

An active portfolio manager outperformed the benchmark last year by 2.75 %, where the benchmark is the S&P500 index. In analyzing the portfolio for return attribution using the Carhart 4 factor model, you find the following results:

Factor Portfolio Sensitivity Benchmark sensitivity Factor return (%)
RFRF 1.00 1.01 5.69
SMB -1.08 -0.96 2.13
HML 0.59 0.05 4.02
WML 0.37 0.10 5.34

What was the return to the portfolio resulting from the security selection component?

Hint: Calculate the return differential due to the factor tilts. The difference between total active performance and the factor tilt impact, i.e. whatever is left, is due to security selection.

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