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An active portfolio manager outperformed the benchmark last year by 2.77 %, where the benchmark is the S&P500 index. In analyzing the portfolio for return

An active portfolio manager outperformed the benchmark last year by 2.77 %, 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 (%)

RMRF

0.96

1.05

5.55

SMB

-0.96

-1.05

2.13

HML

0.31

-0.09

5.8

WML

0.38

0.09

5.06

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

The answer should be -0.71.

PLEASE SHOW ALL CALCULATIONS IN EXCEL.

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