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Consider the following pay off table relating to the purchase of investment deci

ID: 3004563 • Letter: C

Question

Consider the following pay off table relating to the purchase of investment decisions:

Alternatives                               Good Economy                                 Poor Economy

Stocks                                           + $70,000                                             - $20,000

Bonds                                           + $50,000                                             + $10,000

CDs                                                + $20,000                                             +   $8,000          

Probability                                 0.8                                                             0.2      

(2 points) What decision would maximize expected profits?

(2 points) What is the maximum amount that should be paid for a perfect forecast of the economy? (i.e., EVPI).

Explanation / Answer

(a)

Expected value for Stocks = 0.8*70000 -0.2*20000 = 52000

Expected value for bonds= 0.8*50000 +0.2*10000 = 42000

Expected value for CDs= 0.8*20000 +0.2*8000 = 17600

Stocks would maximise profits

(b)

EVPI = EVwPI - EVwoPI

= [0.8*70000 + 0.2*10000]- [52000] = 6000