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The following table shows details of a portfolio made up of stock ABC and a managed fund DEF. The managed fund charges minimal fees and

The following table shows details of a portfolio made up of stock ABC and a managed fund DEF. The managed fund charges minimal fees and closely tracks the performance of the S&P500, so can be treated as the market portfolio. This managed fund is labelled S&P500 DEF in the below table. Returns are expressed as effective annual rates.

Portfolio Details

ABC

S&P500 DEF

Investment dollars

$40,000

$60,000

Expected return

0.06

0.08

Total standard deviation

0.11

0.16

Beta

?

1

Correlation of returns between ABC and S&P500

0.36

Provide answers as decimals rounded to 6 decimal places. For example, if your answer is 0.23456789, write it as 0.234568.

Question 2a (2 marks): What is the portfolio's total expected return pa?

Question 2b (2 marks): What is the portfolio's total variance of returns pa?

Question 2c (2 marks): What is the beta of stock ABC?

Question 2d (2 marks): What is the beta of the portfolio?

Question 2e (2 marks): What is the portfolio's systematic variance of returns pa?

Question 2f (2 marks): Assuming that stock ABC and the S&P500 DEF are fairly priced, calculate the risk free rate.

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