1) company. If the company does well, the investor will make a 200% profit in her investment, but if the company fails, the investor will lose all her investment. That is, if the investor invests x, she will get back 3.x if the company succeeds and nothing if the company fails. The company will fail with probability 1/2 and will succeed with probability 1/2. The investor is risk-averse and has utility function u(x) = V. What fraction of her initial wealth W should she invest in this company? An investor with initial wealth W is given the opportunity to invest in a start-up

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter17: Making Decisions With Uncertainty
Section: Chapter Questions
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An investor with initial wealth W is given the opportunity to invest in a start-up
(1)
company. If the company does well, the investor will make a 200% profit in her investment,
but if the company fails, the investor will lose all her investment. That is, if the investor
invests
X,
she will get back 3x if the company succeeds and nothing if the company fails.
The company will fail with probability 1/2 and will succeed with probability 1/2. The
investor is risk-averse and has utility function u(x)
wealth W should she invest in this company?
Vx. What fraction of her initial
Transcribed Image Text:An investor with initial wealth W is given the opportunity to invest in a start-up (1) company. If the company does well, the investor will make a 200% profit in her investment, but if the company fails, the investor will lose all her investment. That is, if the investor invests X, she will get back 3x if the company succeeds and nothing if the company fails. The company will fail with probability 1/2 and will succeed with probability 1/2. The investor is risk-averse and has utility function u(x) wealth W should she invest in this company? Vx. What fraction of her initial
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