Assume that you have utility of wealth of the square root of money, and that you currently have a wealth of $200. That guy down the street, Andy, thinks that the Kansas City Chiefs will win the Super Bowl. You happen think that the Chiefs will win the Super Bowl with probability 0.1. He offers you two bets. Bet A: If the Chiefs win the Super Bowl, you pay him $100, leaving you with a wealth of $100. If the Chiefs don't win the Super Bowl, he will pay you $50, leaving you with a wealth of $250. Bet B: If the Chiefs win the Super Bowl, you pay him $200, leaving you with a wealth of $0. If the Chiefs don't win the Super Bowl, he will pay you $100, leaving you with a wealth of $300. Calculate the expected utility of wealth from each bet and determine if it is larger than your utility from not taking either bet (utility of $200 with certainty) O You prefer B over not betting and prefer not betting over A O You prefer either bet to not betting O You don't have enough information to say O You prefer not betting to either bet O You prefer A over not betting and prefer not betting over B

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Assume that you have utility of wealth of the square root of money, and that you currently have a wealth of $200. That
guy down the street, Andy, thinks that the Kansas City Chiefs will win the Super Bowl. You happen think that the Chiefs
will win the Super Bowl with probability 0.1. He offers you two bets. Bet A: If the Chiefs win the Super Bowl, you pay
him $100, leaving you with a wealth of $100. If the Chiefs don't win the Super Bowl, he will pay you $50, leaving you
with a wealth of $250. Bet B: If the Chiefs win the Super Bowl, you pay him $200, leaving you with a wealth of $0. If
the Chiefs don't win the Super Bowl, he will pay you $100, leaving you with a wealth of $300. Calculate the expected
utility of wealth from each bet and determine if it is larger than your utility from not taking either bet (utility of $200
with certainty)
You prefer B over not betting and prefer not betting over A
O You prefer either bet to not betting
O You don't have enough information to say
You prefer not betting to either bet
You prefer A over not betting and prefer not betting over B
Transcribed Image Text:Assume that you have utility of wealth of the square root of money, and that you currently have a wealth of $200. That guy down the street, Andy, thinks that the Kansas City Chiefs will win the Super Bowl. You happen think that the Chiefs will win the Super Bowl with probability 0.1. He offers you two bets. Bet A: If the Chiefs win the Super Bowl, you pay him $100, leaving you with a wealth of $100. If the Chiefs don't win the Super Bowl, he will pay you $50, leaving you with a wealth of $250. Bet B: If the Chiefs win the Super Bowl, you pay him $200, leaving you with a wealth of $0. If the Chiefs don't win the Super Bowl, he will pay you $100, leaving you with a wealth of $300. Calculate the expected utility of wealth from each bet and determine if it is larger than your utility from not taking either bet (utility of $200 with certainty) You prefer B over not betting and prefer not betting over A O You prefer either bet to not betting O You don't have enough information to say You prefer not betting to either bet You prefer A over not betting and prefer not betting over B
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