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1. Develop an opportunity loss table given the payoff table in the example below

ID: 3044987 • Letter: 1

Question

1. Develop an opportunity loss table given the payoff table in the example below:

payoff table:

STATE OF NATURE

DECISION ALTERNATIVE GOOD ECONOMY POOR ECONOMY

Stock Market 80,000 -20,000

Bonds 30,000 20,000

CDs 23,000 23,000

Probability 0.5 0.5

loss table:

DECISION ALTERNATIVE GOOD ECONOMY POOR ECONOMY

Stock Market

Bonds

CDs

Probability 0.5 0.5

*What decision/alternative would minimize EOL?

a) EOL (stock) =

b) EOL (bonds) =

c) EOL (cds) =

d) What is the minimum EOL?

e) What is the decision/alternative?

Explanation / Answer

Ans:

First,make opportunity loss table,by choosing maximum in resective scenario and subtracting rest of entries of respective columns from them.

expected opportunity loss for stock market is minimum i.e. 21500

a)EOL(stock)=0*0.5+43000*0.5=21500

b)EOL(bonds)=50000*0.5+3000*0.5=26500

c)EOL(CDs)=57000*0.5+0*0.5=28500

d)As,EOL for stock market is minimum.

e)so best aletrnative will be stock market.

Good Poor Stock market 80000 -20000 Bonds 30000 20000 CDs 23000 23000 Opportunity loss table Good Poor EOL Stock market 0 43000 21500 Bonds 50000 3000 26500 CDs 57000 0 28500