#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).

Participation in global system of production, Participation in Global Syste...

Participation in Global System of Production: As national economies are getting more inter-linked, the share of foreign components in most manufactured products is progressiv

Marginal utility approach, using the marginal utility approach discuss how ...

using the marginal utility approach discuss how economic theory explains the optimum pattern of consumption for an individual consumer

Preference toward risk, what is consumer''s choice involving risk.preferenc...

what is consumer''s choice involving risk.preference toward risk.

Service levels in supply chain management, Service levels in Supply Chain M...

Service levels in Supply Chain Management Consider that a finished product is made up of five inventoried component parts. If the service level were 90 per cent or 0.9 for eac

Utility, Lakshani has $5 to spend on pens and pencils. Each pen costs $0.50...

Lakshani has $5 to spend on pens and pencils. Each pen costs $0.50 and each pencil costs $0.10. She is thinking about buying 6 pens and 20 pencils. The last pen would add five time

Calculates benefit cost ratio using current dollars, When there is a positi...

When there is a positive expected rate of inflation (i.e., an expected and sustained increase in the levels of all prices), the Benefit Cost Ratio of a proposed project will take o

The supply curve , The Supply Curve  – The supply curve exhibits how mu...

The Supply Curve  – The supply curve exhibits how much of a good manufacturerss are willing to sell at a particular given price, holding constant  other factors that can aff

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