1 Consider the two investments listed below with possible outcomes and probabilities: INVESTMENT (in $1000) SAFE RISKY INVESTMENT AMOUNT 40€ 40 GOOD SCENARIO OUTCOME PROB 45 0.40 80+ 0.40€ AVERAGE SCENARIO BAD+ SCENARIO OUTCOME PROB OUTCOME PROB 0.20 35€ 0.20 10- 42+ 45+ a) What are the expected payoffs (E(x)) and standard deviations for each investment? b) Suppose I have utility function U(*)=√(x). What is the expected utility from each investment? c) Which investment will I choose, if any? Show and explain your work and provide the intuition.< 0.40+ 0.40€

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter2: Fundamental Economic Concepts
Section: Chapter Questions
Problem 6E
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1 Consider the two investments listed below with possible outcomes and probabilities:
INVESTMENT
(in $1000)
P
SAFE
RISKY
INVESTMENT
AMOUNT
40+
40+
GOOD
SCENARIO
OUTCOME
45+
80+
AVERAGE+
SCENARIO
PROB+ OUTCOME
0.40+
0.40
42+
45
BAD+
SCENARIO
PROB OUTCOME PROB
0.20
35+
0.20
10
0.40€
0.40
a) What are the expected payoffs (E(x)) and standard deviations for each investment?
b) Suppose I have utility function U(*) = √(x). What is the expected utility from each investment?
c) Which investment will I choose, if any? Show and explain your work and provide the intuition.<
d) What is the value of the risk premium for the SAFE investment? Show and explain your work and provide
the intuition.
e) What is the value of the risk premium for the RISKY investment? Show and explain your work and provide
the intuition.<
43
A
✔
→
Transcribed Image Text:1 Consider the two investments listed below with possible outcomes and probabilities: INVESTMENT (in $1000) P SAFE RISKY INVESTMENT AMOUNT 40+ 40+ GOOD SCENARIO OUTCOME 45+ 80+ AVERAGE+ SCENARIO PROB+ OUTCOME 0.40+ 0.40 42+ 45 BAD+ SCENARIO PROB OUTCOME PROB 0.20 35+ 0.20 10 0.40€ 0.40 a) What are the expected payoffs (E(x)) and standard deviations for each investment? b) Suppose I have utility function U(*) = √(x). What is the expected utility from each investment? c) Which investment will I choose, if any? Show and explain your work and provide the intuition.< d) What is the value of the risk premium for the SAFE investment? Show and explain your work and provide the intuition. e) What is the value of the risk premium for the RISKY investment? Show and explain your work and provide the intuition.< 43 A ✔ →
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