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

Explain fixed capital and flat-rate tax, Q. Explain Fixed Capital and Flat-...

Q. Explain Fixed Capital and Flat-Rate Tax? Fixed Capital: Realcapital which is installed permanently in a specific location, including infrastructure, buildings and major eq

Random sampling, Random sampling is a technique for sampling which we can s...

Random sampling is a technique for sampling which we can select a group of subjects or a sample for study from a larger group or a population. Each entity individually is chosen en

Economic system, what is the definition of economic system?

what is the definition of economic system?

Stackleberg model, Stackleberg Model : is another attempt at understanding ...

Stackleberg Model : is another attempt at understanding the strategic decision making of oligopolistic firms. It derives its name from Heinrich Freiherr von Stackelberg whose brain

Explain crowding out, Explain crowding out and why it may be considered imp...

Explain crowding out and why it may be considered important for policy makers. Crowding out refers to how enhanced government borrowing (real borrowing!) might serve to raise i

Cost curves, With the aid of a diagram explain the long run average cost cu...

With the aid of a diagram explain the long run average cost curve and the influences upon it.

Impact of globalization on local states, I have an article about 40 pages l...

I have an article about 40 pages long that''s needs to be read and then a discussion question. The post has to be 35-40 lines. I will have to send/ attach the article

Assignment, Telecommunications industry in South Africa

Telecommunications industry in South Africa

Deefine production, Normal 0 false false false EN-IN ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Essentials of development administration for economics, Essentials of Devel...

Essentials of Development Administration  Development administration, to be effective and efficient, needs to have the following ingredients:  Administrative Innovation:

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