Answer:
Scenario 1: A risk-averse person will choose option B.
Scenario 2: A risk-averse person will choose option D.
Scenario 3: A risk-averse person will choose option F.
Explanation:
a) Data and Calculations:
Scenario 1:
Option A Winning Expected
Probability Value
50% $1,000 $500
50% 0 0
Total winning = $500
Option B Winning Expected
Probability Value
100% $500 $500
0% 0
Total winning = $500
Scenario 2:
Option C Winning Expected
Probability Value
40% $90 $36
60% 110 66
Total winning = $102
Option D Winning Expected
Probability Value
100% $90 $90
Scenario 3:
Option E Winning Expected
Probability Value
50% $0 $0
50% 100 50
Total winning = $50
Option F Winning Expected
Probability Value
50% $20 $10
50% 60 30
Total winning = $40
b) The risk-averse person tries to avoid risks at all times. Her choice of investment favors an option that has a 100% probability of winning, thereby eliminating risks in all ramifications. This is why she is never indifferent between two options as she factors in the probability of losing.
