6. Consider a three-factor APT model. The factors and associated risk premiums are

| Factor | Risk premium |
| --- | --- |
| Change in GDP | 8% |
| Change in energy prices | -4% |
| Change in long term interest rates | 5% |

Calculate expected rates of return on the following stocks. The risk-free interest rate is 6%. (12分)

(1) A stock whose return is uncorrelated with all three factors.