#question.Question: Answer all parts (a, b, c, d, e & f), Microeconomics

Assignment Help:
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:- #question.Question: Answer all parts (a, b, c, d, e & f)

Positive versus normative economics, Positive versus Normative Economics ...

Positive versus Normative Economics Positive Economics Positive economics considers with the predictions or observations of the particulars of economic life. For instance:

Aspects of basic analytical frameworks in modern economics, What are the ba...

What are the basic analytical frameworks of modern economics? The fundamental analytical framework of modern economics: The fundamental analytical framework for an econom

Simultaneous equation methods of forecasting, The economic model forecastin...

The economic model forecasting involves estimating several simultaneous equations which are generally behavioural equation mathematical identities and market clearing equations. T

Risk aversion and indifference curve, Risk Aversion and Income - Variab...

Risk Aversion and Income - Variability in potential payoffs increases risk premium. - Example: A job has a .5% probability of paying $40,000 (utility of 20) and a 5 p

Lending capacity of cash, Assume the banking system contains: Total Rese...

Assume the banking system contains: Total Reserves                         $ 80 billion Transactions Deposited          $800 billion Cash held by public                 $1

Economics of exhaustible resources, Normal 0 false false fa...

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

A significant majority of consumers, Normal 0 false false f...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4 The demand schedule c

Macroeconomics, Rework figure 1 assuming a closed economy

Rework figure 1 assuming a closed economy

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