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

The production possibilities frontier (ppf), The Production Possibilities F...

The Production Possibilities Frontier (PPF) The PPF curve exhibits the probable combinations of goods and services accessible to an economy, given that all productive resources

Oligopoly, Ask question #Minimum 100 wordswhat ism accepted#

Ask question #Minimum 100 wordswhat ism accepted#

Black or underground or illegal economy, Black or underground or illegal ec...

Black or underground or illegal economy: Black or underground or illegal economy has to be conceptualised as an integral and growing part of a variety of economies which emerg

Matter and the three basic states, how can I execute this topic in new way ...

how can I execute this topic in new way of teaching? That will focus on activity base and art of questioning that will answer by the students?

Discuss a minimum three services for older person, Mrs Holt, 85 years old, ...

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 company. a) What

Mangerial Economics, A portion of the demand schedule for wax candles (per ...

A portion of the demand schedule for wax candles (per case) is shown below. Px $50 $30 $10 Qx 500 600 700 What is the demand curve (straight line) that corresponds to the schedu

ECS, The prevention of major swings in economic activity can be handled mos...

The prevention of major swings in economic activity can be handled most easily by the

Labour Economics, Sally recently finished her full time training and receiv...

Sally recently finished her full time training and received certification as a nurses aid at the end of august.

Pareto efficiency, #question.explain three neccessary condition to achieve ...

#question.explain three neccessary condition to achieve pareto efficiency.

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