insurance, Microeconomics

Assignment Help:
#question.Question: Answer all parts (a, b, c, d, e & f).

Consider the following insurance market. There are two states of the world, B and G, and two types of consumers, H and L, who have probabilities pH =0.5 and pL =0.25 (high and low risk) respectively of being in state B. They have common endowment e=(eG,eB) = (£900, £100). The individuals have expected utility preferences over state-contingent consumptions c=(cG,cB), with common utility function u(ci)=ln(ci), where i=B,G. Insurance firms are risk-neutral profit maximisers and offer contracts in exchange for the individuals’ endowments.

Suppose the market is competitive.

a) Outline the definition of a competitive equilibrium of this market and explain why every contract, offered by every firm, must earn zero profit in equilibrium. [7 marks]

b) Suppose the information concerning individuals’ types is symmetric, but void. It is commonly known, however, that the proportion of low risk consumers is 0.4. Derive the equilibrium set of contracts. [5 marks]

c) Find the equilibrium set of contracts when information is symmetric and perfect. [5 marks]

Now suppose that information is asymmetric; individuals know their own type but insurance firms cannot distinguish between types. (Note: there does exist an equilibrium set of contracts for this market. You may make use of this fact without proving it).

d) Explain why it must be that, if {cH,cL} is the equilibrium set of contracts, then
cH ? cL. [4 marks]

e) Explain and derive the equilibrium contract offered to high risk individuals. [3 marks]

f) Explain and derive the equilibrium contract offered to low risk individuals. [9 marks]

Related Discussions:- insurance

Equilibrium point of a monopoly, Using a diagram explain the equilibrium po...

Using a diagram explain the equilibrium point of a monopoly

Tariff, Tariff: A tariff is a tax imposed on the purchase of imports. It is...

Tariff: A tariff is a tax imposed on the purchase of imports. It is generally imposed in order to stimulate more domestic production of the product in question (rather than meeting

Equity, Equity: The proportion of a company's total assets which are "owned...

Equity: The proportion of a company's total assets which are "owned" outright by the company's owners. A company's equity is equivalent to its value less its debt owed to bankers,

Traditional economy , what is traditional economy 2 features of traditional...

what is traditional economy 2 features of traditional economy

Low standards of living, Low standards of living: In developing natio...

Low standards of living: In developing nations general standards of living tend to be very low for the vast majority of the people. These low standards of living are manifest

Employee communication, Employee Communication More widely called int...

Employee Communication More widely called internal communications, employee communication is must in retaining a happy and productive workforce. Internal communications to e

Fiscal policy, 3. Which of the following would not be an expansionary fisca...

3. Which of the following would not be an expansionary fiscal policy? a.Increased welfare payments to the poor b.Decreases in federal taxes on corporations c.A balanced budget d.I

Learning curve in practice, Learning Curve in Practice * Scenario - ...

Learning Curve in Practice * Scenario - A new firm enters chemical processing industry. * Do they: 1) Produce a low level output and sell at high price? 2) Produce

Steps of the basic analytical framework in modern economics, What are the s...

What are the steps of the basic analytical framework in Modern Economics? Framework is very significant to master this fundamental analytical framework, particularly, these fiv

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd