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

Land resources , Normal 0 false false false EN-IN X-N...

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

What is economic efficiency, Q. What is Economic efficiency? Economic ef...

Q. What is Economic efficiency? Economic efficiency Explain a situation where the total value of the end uses, to which the resources are put, is maximised. A consequence is th

#question.Question: Answer all parts (a, Consider the following insurance m...

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

Rent, what do you meant by rent?

what do you meant by rent?

Help, Calculate the number of moles in 15.8 grams of aluminum hydroxide

Calculate the number of moles in 15.8 grams of aluminum hydroxide

Intermediate products, Intermediate Products: Products (which includes both...

Intermediate Products: Products (which includes both services and goods) that aren't produced in order to be consumed, but somewhat are produced in order to be used in the producti

Rent, quasi rent theory

quasi rent theory

Determine the indirect utility function in brief, Determine the indirect ut...

Determine the indirect utility function in brief. Indirect Utility Function: The ordinary utility function, u(x), is described over the consumption set X and thus to as the

What is fait money, Fiat money is what is regular in modern economic system...

Fiat money is what is regular in modern economic systems.  Fiat money is money that is described as legal tender by either a government or some organization with the authority to e

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