Question
One of the major risks in the economy is the oil price. Many financial assets are severely affected by the oil price. Consider a natural
One of the major risks in the economy is the oil price. Many financial assets are severely affected by the oil price. Consider a natural gas company and an automobile company. The natural gas company will be hit by a low oil price because the demand for natural gas will decrease as oil becomes cheaper. But the automobile company will benefit from a low oil price as more people can afford the cost of driving a car. The probability of the oil price next year is given by the following table:
Oil price | Probability |
drops | 25% |
does not change | 50% |
arises | 25% |
Contingent on the change in the oil price next year, the annual returns to the companies are expected as follows:
If oil price | Natural gas | Automobile |
drops | -8% | 18% |
does not change | 6% | 4% |
arises | 12% | -10% |
You are planning to invest 70% of your investment in the natural gas company and the remaining in the automobile company. What is the variance of your portfolio?
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