Who is superior in security selection


Problem

Your research into their online brokerage trades has turned up the following performance information:

Benchmark Portfolio

Bil's Portfolio

Hermana's Portfolio


Weight

Return


Weight

Return


Weight

Return

Stocks

0.6

-5.00%

Stocks

0.5

-4.00%

Stocks

0.3

-5.00%

Bonds

0.3

3.50%

Bonds

0.2

2.50%

Bonds

0.4

3.50%

T-Bills

0.1

1.00%

Cash

0.3

1.00%

Cash

0.3

1.00%

The risk-free rate is 1% and the standard deviation for the Benchmark portfolio is 3.50%, Bil's portfolio is 5.00%, and Hermana's portfolio is 3.00%.

A. Compare Bil and Hermana's performance relative to the benchmark in terms of portfolio returns.

B. If they are beating the market, determine the sources of their success in terms of security selection and asset allocation.

a. Who is superior in security selection?
b. Who is superior in asset allocation?

C. Using the Sharpe Index, determine which relative is performing better than the market on a risk adjusted basis.

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