2. Ronald has $18,000. But he is forced to bet it on the flip of a fair coin. If he wins he has $36,000. If he loses he has nothing. Ronald's expected utility function is 0.5x0.5+ 0.5y0.5, where x is his wealth if heads comes up and y is his wealth if tails comes up. What safe income would make him exactly as well off as this bet?
2. Ronald has $18,000. But he is forced to bet it on the flip of a fair coin. If he wins he has $36,000. If he loses he has nothing. Ronald's expected utility function is 0.5x0.5+ 0.5y0.5, where x is his wealth if heads comes up and y is his wealth if tails comes up. What safe income would make him exactly as well off as this bet?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![2. Ronald has $18,000. But he is forced to bet it on the flip of a fair coin. If he wins he has
$36,000. If he loses he has nothing. Ronald's expected utility function is 0.5x0.5 +
0.5y0.5, where x is his wealth if heads comes up and y is his wealth if tails comes up.
What safe income would make him exactly as well off as this bet?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa670f3c1-2f93-41d6-b7f9-1251a92cd341%2F8492556e-7713-4603-ae37-516f1e202de6%2Fye2c51_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Ronald has $18,000. But he is forced to bet it on the flip of a fair coin. If he wins he has
$36,000. If he loses he has nothing. Ronald's expected utility function is 0.5x0.5 +
0.5y0.5, where x is his wealth if heads comes up and y is his wealth if tails comes up.
What safe income would make him exactly as well off as this bet?
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