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

Advanced monetary theory, Consider a hypothetical ABC economy in which the ...

Consider a hypothetical ABC economy in which the narrowly-defined measure of the  money supply (M1), as defined in the Canadian sense, in existence is 1250$ million. Assuming the e

Define regulation and it’s problems , Regulation is not a panacea.  There a...

Regulation is not a panacea.  There are troubles with rate regulation.  In our litigious society, the legal proceedings contained in rate regulation are not inexpensive for any of

What is the price of a call option on stock, Consider an economy with three...

Consider an economy with three states. The following set of stocks is traded:   x 1 =(2,2,0)    x 2 =(1,0,3)  x 3 =(0,2,4). The t=0 prices of these stocks are given as follow

The demand for big macs., illustrate and explain the changing demand for bi...

illustrate and explain the changing demand for big mac using indifference curve and budget line

How the inflation effect on import and export of the country, How the infla...

How the inflation effect on the Import and Export of the country?  When general price level enhances in an economy, local currency is devalued. Economy has to spend more on imp

Export entrepreneurship and use appropriate technology, Export Entrepreneur...

Export Entrepreneurship: This need be developed by providing necessary facilities and making export an attractive and profitable business proposition. In this connection, it

Uses of population census, Uses of population census: It is used to de...

Uses of population census: It is used to determine the size and the growth rate of the population at a country. The helps the government in planning for education, transporta

Supply-and-demand, Suppose we divide Canada into three regions; the west, t...

Suppose we divide Canada into three regions; the west, the centre and the each

Public-private partnerships, Public-Private Partnerships (PPPs):A form of f...

Public-Private Partnerships (PPPs):A form of financing public investment and sometimes the direct provision of public services, in that finance is provided by private investors (in

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