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

AREC 1, Equation (1) gives a hypothetical demand curve for hybrid vehicles ...

Equation (1) gives a hypothetical demand curve for hybrid vehicles in the United States during the year 2000, where Q is the quantity demanded and P is the price. Equation (2) giv

Fiat money in europe , Fiat money is not a new idea.  Some European histori...

Fiat money is not a new idea.  Some European historians recognize the first use of fiat money in Europe resulting from gold and silver smiths issuing their customers receipts for g

Effectively increases command over goods, Normal 0 false fals...

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

Discuss the advantages and disadvantages of rate regime, Discuss the advant...

Discuss the advantages and disadvantages in having a managed exchange rate regime. Advantages of a managed/fixed exchange rate Predictability and certainty a) Fi

What are the properties of consumer demand, What are the properties of cons...

What are the properties of consumer demand? Properties of Consumer Demand: In this section check the comparative statics of consumer demand behaviour as: how the demand of cons

ADVANCE ECONOMICS, THERE IS PRESSURE ON THE CENTRAL BANK TO INCREASE MONEY...

THERE IS PRESSURE ON THE CENTRAL BANK TO INCREASE MONEY SUPPLY WHAT WOULD BE THE EFFECT ON THE MACROECONOMIC VARIABLE

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