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 how a country can peg its currency, Explain how a country can peg (...

Explain how a country can peg (fix) its currency to another currency. Explanation of a pegged/fixed currency should centre on how the central bank uses the currency market mech

True or false, economists would predict that if salaries increased for engg...

economists would predict that if salaries increased for engginieers and decreasded for mba braduates that fewer people would go to graduate school in business and more would go in

Supply, concept of supply

concept of supply

Explain the concept of land economic, (a) Give an overview of the Concept ...

(a) Give an overview of the Concept of Land Economic (b) Provide a definition of Land/Economics (c) Discuss the origin of Land Economics (d) Modern and Traditional Land Ec

Pareto efficiency, #question.explain three neccessary condition to achieve ...

#question.explain three neccessary condition to achieve pareto efficiency.

Introduction, when does market equilibrium occur?

when does market equilibrium occur?

Short run costs, A film studio in Hollywood produces movies according to t...

A film studio in Hollywood produces movies according to the function q = F(K;L) = (2=100)K^0.5L^0.5 In the short run, capital (studios, gear) is xed at a level of 100. It costs $

Demand, what is ment by demand

what is ment by demand

Working of ifc, Working of IFC: The IBRD loans are available only to m...

Working of IFC: The IBRD loans are available only to member-country governments or with the guarantee of member-country governments. Further, IBRD can only make a loan but it

Second best, what is the theory of second best ? prove the theorem with the...

what is the theory of second best ? prove the theorem with the help of a diagram ?

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