7. Risk aversion. Suppose that you took part in a lottery that had a chance to increase, decrease, or have no effect on your level of income. With probability 0.5, your income remains at its original level, $500. With probability 0.2, your income increases to $700, and with probability 0.3, your
7. Risk aversion. Suppose that you took part in a lottery that had a chance to increase, decrease, or have no effect on your level of income. With probability 0.5, your income remains at its original level, $500. With probability 0.2, your income increases to $700, and with probability 0.3, your
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
I need help solving problem 7 sections a-d.
Please note that this is not graded work. I obtained this question from an old text book to help me practice problem sets. Do let me know if you have additional questions.

Transcribed Image Text:В
7. Risk aversion. Suppose that you took part in a lottery that had a chance to increase, decrease, or
have no effect on your level of income. With probability 0.5, your income remains at its original
level, $500. With probability 0.2, your income increases to $700, and with probability 0.3, your
income decreases to $400. Your utility function is
u(I) = 10.7,
where I denotes your income level.
(a) Using only the utility function, show that your risk preferences are risk averse.
(b) Calculate both your EU and the utility equivalent of the EV of your income.
(c) Using the results from part (b), show that your risk preferences are risk averse.
(d) Suppose now that you had the option to either accept this lottery, or walk away with your initial
$500. Should you accept the lottery? Why or why not?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON

Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning

Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning

Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education