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Question 4 Suppose that two investments have the same three.pdf

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ADARSHPATNA

This document presents a table showing the payoffs and probabilities for two investments, Investment A and Investment B. It asks the reader to calculate the expected return and standard deviation for each investment, and determine which investment would be preferred by three individuals - Bob, Sarah, and Cathy - based on their different utility functions for the given payoffs.

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Question 4. Suppose that two investments have the same three payoffs, but the probability associated with each payoff differs, as illustrated in the table below: Payoff Probabilities for Investment A Probabilities for Investment B $600 0.1 0.3 $500 0.8 0.4 $400 0.1 0.3 (5 points) Find the expected return of each investment. (5 points) Find the standard deviation of each investment. (5 points) Bob has the utility function , where I denoted the payoff. Which investment will Bob choose? (5 points) Sarah has the utility function . Which investment will Sarah choose? (5 points) Cathy has the utility function U = 2I. Which investment will Cathy choose? Payoff Probabilities for Investment A Probabilities for Investment B $600 0.1 0.3 $500 0.8 0.4 $400 0.1 0.3

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Question 4 Suppose that two investments have the same three.pdf

  • 1. Question 4. Suppose that two investments have the same three payoffs, but the probability associated with each payoff differs, as illustrated in the table below: Payoff Probabilities for Investment A Probabilities for Investment B $600 0.1 0.3 $500 0.8 0.4 $400 0.1 0.3 (5 points) Find the expected return of each investment. (5 points) Find the standard deviation of each investment. (5 points) Bob has the utility function , where I denoted the payoff. Which investment will Bob choose? (5 points) Sarah has the utility function . Which investment will Sarah choose? (5 points) Cathy has the utility function U = 2I. Which investment will Cathy choose? Payoff Probabilities for Investment A Probabilities for Investment B $600 0.1 0.3 $500 0.8 0.4 $400 0.1 0.3