Q2. Bob's wealth is $2500. However, he faces a 50% chance of suffering a $900 loss. His utility function is U(w) = √w, Where w is his wealth. a) What is Bob's expected utility? b) What is Bob's cost of risk? c) What is the fair premium an insurer should charge for a full insurance? d) If the insurer set the premium to $500 for a full insurance, will Bob buy it? e) What is the maximum amount Bob would be willing to pay for a full insurance?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
Q2. Bob's wealth is $2500. However, he faces a 50% chance of suffering a $900 loss. His
utility function is U(w) = √w, Where w is his wealth.
a) What is Bob's expected utility?
b) What is Bob's cost of risk?
c) What is the fair premium an insurer should charge for a full insurance?
d) If the insurer set the premium to $500 for a full insurance, will Bob buy it?
e) What is the maximum amount Bob would be willing to pay for a full insurance?
Transcribed Image Text:Q2. Bob's wealth is $2500. However, he faces a 50% chance of suffering a $900 loss. His utility function is U(w) = √w, Where w is his wealth. a) What is Bob's expected utility? b) What is Bob's cost of risk? c) What is the fair premium an insurer should charge for a full insurance? d) If the insurer set the premium to $500 for a full insurance, will Bob buy it? e) What is the maximum amount Bob would be willing to pay for a full insurance?
Expert Solution
Step 1

utility addresses the satisfaction that purchasers/consumers get for consuming a decent or administration. The utility function estimates customers' preferences for a bunch of goods and services. In economics, the utility capability estimates the government assistance or fulfillment of a shopper as an element of the utilization of genuine merchandise, like food or dress. The utility capability is broadly utilized in objective decision hypotheses to dissect the human way of behaving.

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Risk Aversion
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.
Similar questions
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
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)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
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-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education