2 Consider the two investments listed below with possible outcomes and probabilities: INVESTMENT (in $1000) 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 0.20€ 0.20 35€ 10€ PROB 0.40€ 0.40€ a) Suppose I have utility function U(*) = (x)². What is the expected utility from each investment? b) Which investment will I choose, if any? Show and explain your work and provide the intuition. c) What is the value of the risk premium for the SAFE investment? Show and explain your work and provide the intuition. d) What is the value of the risk premium for the RISKY investment? Show and explain your work and provide the intuition. P 13 P

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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Solve (c) and (d) please

2 Consider the two investments listed below with possible outcomes and probabilities:
INVESTMENT
(in $1000)
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+
b)
a) Suppose I have utility function U(*) = (x)2. What is the expected utility from each investment?
Which investment will I choose, if any? Show and explain your work and provide the intuition.
c) What is the value of the risk premium for the SAFE investment? Show and explain your work and provide
the intuition.
d) What is the value of the risk premium for the RISKY investment? Show and explain your work and provide
the intuition.<
+
Transcribed Image Text:2 Consider the two investments listed below with possible outcomes and probabilities: INVESTMENT (in $1000) 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+ b) a) Suppose I have utility function U(*) = (x)2. What is the expected utility from each investment? Which investment will I choose, if any? Show and explain your work and provide the intuition. c) What is the value of the risk premium for the SAFE investment? Show and explain your work and provide the intuition. d) What is the value of the risk premium for the RISKY investment? Show and explain your work and provide the intuition.< +
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