Question
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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