Microeconomics, Microeconomics

#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]

.
Posted Date: 4/20/2012 5:28:52 AM | Location : United States







Related Discussions:- Microeconomics, Assignment Help, Ask Question on Microeconomics, Get Answer, Expert's Help, Microeconomics Discussions

Write discussion on Microeconomics
Your posts are moderated
Related Questions
How have falling commodity prices affected many developing countries? Definition of commodities; raw material like copper, iron and bauxite; and agricultural goods like rice an


Advantages of Division of labour: Division of labour has advantages including the following: Development of Greater Skill by the Worker In division of labour, each

What are the three major types of unemployment?   a) Frictional b) Structural and c) Cyclical unemployment. Cyclical unemployment is broadly spread by an economy durin


Question 1: The price of the good X rises from $1.30 to $1.40. Calculate the price elasticity of demand by using the mid-point method. Question 2: How do you explain the answer

Depreciation: This signifies the loss of value from an existing stock of real capital (for an individual company or for whole economy), reflecting normal wear-and-tear of machinery

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

Arbitration The use of a third party to describe between two sides dead locked in a negotiation. The arbitrator's decision can be binding or not binding, as before agreed upon

Problem: "Mauritius offers an interesting case study of successful trade liberalization and export-led development in Sub-Saharan Africa. This is a notable achievement given t