Microeconomics, 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:- Microeconomics

Demand and supply, Define the term “cross elasticity of demand” (2 marks) P...

Define the term “cross elasticity of demand” (2 marks) Price of commodity X (SH) Demand for commodity X (Units) 12 80 16 100 20 120 24 140 28 160 d) The following data relate to a

Equilibrium price and equilibrium quantity of cassette, The compact disk pl...

The compact disk player has literally revolutionized the recording industry with its state-of-the-artclarity, sound, durability, and the fact that it costs less than cassette tape

Need Econ Help, Two firms produce a pollutant called Q. The total costs of...

Two firms produce a pollutant called Q. The total costs of reducing emissions of Q are as follows for Firm 1 and Firm 2, respectively: TC1=10+100Q12 TC2=20 + 50Q22. This means tha

Production with two variable inputs, Production with Two Variable Inputs ...

Production with Two Variable Inputs *  There is relationship between productivity and production. *  Long run production K& L are variable. *  Isoquants analyze and compa

Demand and supply considerations of education, Normal 0 false ...

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

What is methodological economics, What is methodological economics? how its...

What is methodological economics? how its significance, Describe use of methodological economics...

Cost, relationship between tfc , tvc , tc

relationship between tfc , tvc , tc

Increase probability or increase winnings, Would a risk loving person prefe...

Would a risk loving person prefer an increase in the chance of winning the lottery by 20% or an increase in the jackpot of 20%

Required the Detail Answer, Sir i am the student of MSC Economcis frin Dust...

Sir i am the student of MSC Economcis frin Dustabce University (AIOU)from Islamabad (Pakistan)my name is Mohammed Bilal Farooq and required the answer of the following questions Q

Herfendahl index, #qu3. An industry is composed of 20 firms, all with equal...

#qu3. An industry is composed of 20 firms, all with equal sales. The Herfendahl Index ratio in this industry is a. 1000 b. 500 c. 800 d. This cannot be determined from the informat

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