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

Law of variable proportion, discuss the law of variable proportion with the...

discuss the law of variable proportion with the help of isoquants

Q=8L^1/2, what is the profit maximising quantity of L

what is the profit maximising quantity of L

Surplus- economics, Surplus: Anysector or agent in economy (business, hous...

Surplus: Anysector or agent in economy (business, householdor government) experiences a surplus when its income surpasses its expenditure. Surplus, Economic: For the economy

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

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

Supply and demand, #how do you draw a demand curve on excel

#how do you draw a demand curve on excel

Determine the nominal reservation wage, Mikes' preferences for consumption ...

Mikes' preferences for consumption and leisure may be represented by the Utility function: u(C, L) =  ( C-200)*(L-80) . His marginal utilities of leisure and consumption are (C-200

Choosing output in long run, Choosing Output in Long Run * In long run,...

Choosing Output in Long Run * In long run, a firm can change all its inputs, including size of the plant. * We are taking free entry and free exit. * Accounting

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