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You have compiled the following expectations about returns on Australian banking stocks from the past 12-month. Stock Market Cap ($m) Mean (%pa) Std Dev (%pa)

You have compiled the following expectations about returns on Australian banking stocks from the past 12-month.

Stock Market Cap ($m) Mean (%pa) Std Dev (%pa) Correlations
WBC CBA NAB ANZ
WBC 56 17 25 1
CBA 53 19 27 0.67 1
NAB 40 14 26 0.63 0.7 1
ANZ 34 17 23 0.70 0.68 0.68 1

During this period, the S&P/ASX 200 Financials index - has an increase of 15% with dividend yield on this market was 1.3% during the same time period. The standard deviation of total returns on the market was 24%

A corporate bond index generated a total return of 5% during the 12-month period, with a standard deviation of returns of 9%. The covariance of returns between the ASX 200 and the corporate bond index was 0.01.

Assume you choose a benchmark portfolio which holds 70% of its funds in the S&P/ASX 200 Financials index and 30% of its funds in corporate bonds.

You also held $20 million in corporate bonds, which generated a return of 7%, with a standard deviation of returns of 12%. The correlation of returns between your equity portfolio and your bond portfolio was 0.30.

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Calculate the performance of your entire portfolio and the benchmark portfolio. Is your portfolio under- or out-performed the benchmark portfolio?

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