Microeconomics, Microeconomics

Assignment Help:
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:- Microeconomics

#theory of consumer., Ask question #what is an indifference curveMinimum 10...

Ask question #what is an indifference curveMinimum 100 words accepted#

Consumer''s eqillibrium, a consumer consumes only two goods x and y is in e...

a consumer consumes only two goods x and y is in eqillibrium price of x falls explain the reaction of consumer through utility analysis

Molarity and normality, What is the Molarity and Normality of the ferrous a...

What is the Molarity and Normality of the ferrous ammonium salt ? For exam....196 gm (initial)

Advanced microeconomics, How would you construct an estimate of marginal co...

How would you construct an estimate of marginal cost, & ?C(w, y) , in each period? ?Y

Calculate production-prize and profit, Consider a television manufacturer b...

Consider a television manufacturer based in Korea. It produces TVs in Korea at a total cost of Y 2 + 2 Y where Y is the number of televisions they produce in Korea. It can als

Delphi techniques, This method is also known as Experts opinion methods of ...

This method is also known as Experts opinion methods of investigation. In this method instead of depending upon the opinion of buyers and salesmen firms can obtain views of the spe

Gross domestic product (gdp), Determine whether the ff is counted as part o...

Determine whether the ff is counted as part of gdp which of the ff statement are included or excluded 1.1A monthly cheque received by an economic stu

General, A tax imposed on a market with an inelastic demand and an elastic ...

A tax imposed on a market with an inelastic demand and an elastic supply will cause

Differentiate between firm and industry, Differentiate between firm and ind...

Differentiate between firm and industry.   A firm is a business unit produced for the purpose of carrying out some kind of trading activity. The term "firm" is used in many ways

Summary of educational planning and economic growth, Summary of Educational...

Summary of Educational Planning and Economic Growth An economy with scarce resources and enormous needs and aspirations requires planning. This is true of the education sector

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