States of Nature Probabilities 3100 3400 12500 12400 15400

States of Nature / Probabilities

3,100

3,400

12,500

12,400

15,400

What is the expected value of perfect information?

States of Nature / Probabilities


Decisions

S1 .20

S2 .10

S3 .70

D1

10,000

-5,000

15,000

D2

15,000

9,000

10,000

D3

20,000

-5,000

10,000

D4

11,000

-4,000

10,000
Answers:

3,100

3,400

12,500

12,400

15,400

Solution

Let us prepare table neatly as follows:

Thus we get expected value = 45000

Hence none of the above

Decisions S1 S2 S3
p 0.2 0.1 0.7 1
D1 10000 5000 15000 30000
D2 15000 9000 10000 34000
D3 20000 5000 10000 35000
D4 11000 4000 10000 25000
Total 56000 23000 45000 124000
p*freq 11200 2300 31500 45000
States of Nature / Probabilities 3,100 3,400 12,500 12,400 15,400 What is the expected value of perfect information? States of Nature / Probabilities Decisions

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