How much should be paid for a perfect forecast of the state of nature? Using the data below.
States of Nature |
||
Alternatives |
A |
B |
Alternative 1 |
100 |
150 |
Alternative 2 |
200 |
120 |
Probability |
0.4 |
0.6 |
Group of answer choices
170
30
18
130
152
CORRECR ANSWER=18
expected value of alternative 1 =100*0.4+150*0.6=130
expected value of alternative 2 =200*0.4+120*0.6=152
therefore expected value without perfect information =max(130,152) =152
expected value with perfect information =200*0.4+150*0.6=170
therefore expected value of perfect information =170-152 =18
option B is correct
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