#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).

Nursing, Questions 1. Mrs Holt, 85 years old, has been admitted to acute ca...

Questions 1. Mrs Holt, 85 years old, has been admitted to acute care following a fall resulting in a fractured femur. She is a widow and lives alone with her three cats for compa

Welfare economics, Prove the theory of second best with the help of a diagr...

Prove the theory of second best with the help of a diagram

Elasticity, discuss how cross of demand is useful in categorizing commoditi...

discuss how cross of demand is useful in categorizing commodities

Explain the end of the malthusian age, The End of the Malthusian Age W...

The End of the Malthusian Age We clearly no longer live in a Malthusian age. For at least 200 years improvements in the efficiency of labor made possible by new technologies a

Need of reforms - economic policies, NEED OF REFORMS: Presently Govern...

NEED OF REFORMS: Presently Government offices generate  a lot of paper work in the form of reports/returns, extended file movement in many cases for clarification of some mino

Miroeconomics, when the demand function is 2Q-24+3P=0,find the marginal rev...

when the demand function is 2Q-24+3P=0,find the marginal revenue when Q=3.

Supply and demand, Explain the meaning of the statement "coffee and tea are...

Explain the meaning of the statement "coffee and tea are close substitutes".

Duopoly, write characterstics of duopoly

write characterstics of duopoly

Determine the four partial elasticities of demand, The demand functions for...

The demand functions for two related commodities are expressed as follows    Q 1 = (12P 2 3/4 ) / (P 1 1/2 ) Q 2 = (24P 1 2 ) / (P 2 3/5 ) Where Q 1  and Q 2 are d

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