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Performance evaluation allows us to assess the performance of fund managers going beyond historical returns. In particular, we recognize that risk is an important factor

Performance evaluation allows us to assess the performance of fund managers going beyond historical returns. In particular, we recognize that risk is an important factor when assessing the performance of fund managers and hence it should be taken into account when evaluating fund managers. However, there are many measures used to assess this risk-adjusted performance.

(a) While the Sharpe and Treynor indices can be used to assess investment performance, these two measures sometimes provide conflicting results. Discuss why conflicting results can occur.

(b) Barbara believes that the Sharpe and Treynor indices will provide similar results for a fund that is well diversified. Do you agree with Barbara? Why?

(c) Barbara has performed a time-series regression analysis on the portfolio p using the Fama-French three-factor model. The following shows her regression result:

image text in transcribed

Barbaras result indicates that the portfolios Jensens alpha is _____________.

(d) The table below shows Barbaras investment performance and the benchmark portfolio.

Benchmark Barbara
Weight Return Weight Return
Stock 0.6 5.6% 0.6 5.5%
Bonds 0.3 1.2% 0.2 1.7%
Cash 0.1 0.6% 0.2 0.7%

According to the table, the return that can be attributable to Barbaras securities selection skills is ______% and asset allocation is ______%, respectively.

Rp Ry = 0.50 +0.10 (Rm Rp) + 0.32 X SMB 0.15 X HML +

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