State of the world |
Probability |
Return A |
Return B |
Expansion |
25% |
32% |
5% |
Normal |
50% |
14% |
15% |
Recession |
25% |
4% |
25% |
Expected Return for A is (0.25*32)+(0.50*14)+(0.25*4)= 16%
Expected return for B is (0.25*5)+(0.50*15)+(0.25*25) = 15%
Let us assume we have a total of $100 to invest and we invest it 50:50 in A and B.
Let us say the world is in expansion, then having investment only in security B would lead to lower returns. But if we also invest in A, we would be better off. Our returns would be (50*.32)+(50*.05) = 18.5%
Similarly, if the world is normal, then we have 14.5% return
When world is in recession, here investment in B saves us and gives us good returns. Lur returns would be (50*.04)+(50*.25)=14.5%
Thus, these assets are a good pair as when one generates low return, the other generates good returns. Thua, they are ideal for hedging.
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