Decisions Involving Uncertainty - End of Chapter Problem You currently have $10,000 in total wealth and rate your current utility at 4.25. You are deciding if you should invest your money in your friend's automotive restoration business. There is a 50% probability that you will double your money, in which case your total utility will be 6. There is a 50% probability that your friend's business will fail and you will lose the entire $10,000 and your total utility will be 2.5. a. What is the expected utility of investing in your friend's company? Expected utility: b. If you are risk averse, should you take the gamble and invest in your friend's company? invest in your friend's company. c. Would your answer to part b be different if there was a 75% chance that you would double your money by investing in your friend's business? Your answer to part b You

Personal Finance
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Chapter16: Real Estate And High-risk Investments
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Decisions Involving Uncertainty - End of Chapter Problem
You currently have $10,000 in total wealth and rate your current utility at 4.25. You are deciding if you should invest your
money in your friend's automotive restoration business. There is a 50% probability that you will double your money, in which
case your total utility will be 6. There is a 50% probability that your friend's business will fail and you will lose the entire
$10,000 and your total utility will be 2.5.
a. What is the expected utility of investing in your friend's company?
Expected utility:
b. If you are risk averse, should you take the gamble and invest in your friend's company?
invest in your friend's company.
c. Would your answer to part b be different if there was a 75% chance that you would double your money by investing in
your friend's business?
Your answer to part b
You
Transcribed Image Text:Decisions Involving Uncertainty - End of Chapter Problem You currently have $10,000 in total wealth and rate your current utility at 4.25. You are deciding if you should invest your money in your friend's automotive restoration business. There is a 50% probability that you will double your money, in which case your total utility will be 6. There is a 50% probability that your friend's business will fail and you will lose the entire $10,000 and your total utility will be 2.5. a. What is the expected utility of investing in your friend's company? Expected utility: b. If you are risk averse, should you take the gamble and invest in your friend's company? invest in your friend's company. c. Would your answer to part b be different if there was a 75% chance that you would double your money by investing in your friend's business? Your answer to part b You
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