You have $10,000 cash in your savings account. A friend tells you about a great "investment" opportunity with one big catch: there is a 50% chance you will either gain $30,000 (i.e. total wealth = $40,000) or a 50% chance you will lose your entire $10,000 investment (i.e. total wealth = $0). Given a personal utility function of U(W) = w(1/3), the gain on the upside is not enough to take the investment. What would your total wealth on the upside have to be greater than to properly incentivize you to take the risk? Multiple Choice 160,000 80,000 120,000 100,000

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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You have $10,000 cash in your savings account. A friend tells you about a great "investment" opportunity with one big
catch: there is a 50% chance you will either gain $30,000 (i.e. total wealth = $40,000) or a 50% chance you will lose your
entire $10,000 investment (i.e. total wealth = $0). Given a personal utility function of U(W) = w(1/3), the gain on the upside
is not enough to take the investment. What would your total wealth on the upside have to be greater than to properly
incentivize you to take the risk?
Multiple Choice
O
O
160,000
80,000
120,000
100,000
Transcribed Image Text:You have $10,000 cash in your savings account. A friend tells you about a great "investment" opportunity with one big catch: there is a 50% chance you will either gain $30,000 (i.e. total wealth = $40,000) or a 50% chance you will lose your entire $10,000 investment (i.e. total wealth = $0). Given a personal utility function of U(W) = w(1/3), the gain on the upside is not enough to take the investment. What would your total wealth on the upside have to be greater than to properly incentivize you to take the risk? Multiple Choice O O 160,000 80,000 120,000 100,000
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