An investor has a choice of 2 investment opportunities The f
An investor has a choice of 2 investment opportunities. The first investment yields a gain of $2600 with probability of 0.43, a gain of $1300 with probability of 0.27, and otherwise a loss of $1000. Investment #2 yields a gain of $2000 with probability of .2, $400 with a probability of .7, and a loss of $1000 with a probability of 0.1. What is the expected dollar gain or loss of investment #1?
Solution
Let us tabulate the data with - sign for loss and calculate mean return for both investments
Expected return= 1169 for invt I and 1980 for invt II
Under the same conditions investment II shows more return.
Expected return= 1169 for invt I
| Invt I | Invt II | ||||
| Gain | Prob | Gain*Prob | Gain | Prob | Gain*Prob |
| 2600 | 0.43 | 1118 | 2000 | 0.2 | 400 |
| 1300 | 0.27 | 351 | 2400 | 0.7 | 1680 |
| -1000 | 0.3 | -300 | -1000 | 0.1 | -100 |
| 1 | 1169 | 1 | 1980 |
