insurance, Microeconomics

Assignment Help:
#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]

Related Discussions:- insurance

Political economy, Consider the model of corruption explored by Shleifer an...

Consider the model of corruption explored by Shleifer and Vishni’s where there is one government-produced good X. There is a demand for that good described by the inverse demand eq

Economics, in economics what is cobb douglas theory?

in economics what is cobb douglas theory?

Explain fixed capital and flat-rate tax, Q. Explain Fixed Capital and Flat-...

Q. Explain Fixed Capital and Flat-Rate Tax? Fixed Capital: Realcapital which is installed permanently in a specific location, including infrastructure, buildings and major eq

Determine the population growth rates, Determine the population growth rate...

Determine the population growth rates Birth control meant that those who didn't wish to have more children can exercise their choice. Parents began to find more satisfaction o

What is laffer curve, What is Laffer curve The Laffer curve is named af...

What is Laffer curve The Laffer curve is named after Professor Art Laffer who suggested that as taxes enhanced from fairly low levels, tax revenue received by the government wo

Explain the meaning of inflation, Problem 1: (a) Explain the meaning of...

Problem 1: (a) Explain the meaning of inflation. (b) "Inflation is always and everywhere a monetary phenomenon." Discuss this statement. (c) Briefly explain the link betw

Managerial Economics, What does economic theory contribute to managerial ec...

What does economic theory contribute to managerial economics? Explain

Real business cycles, REAL BUSINESS CYCLES: The extent of this module ...

REAL BUSINESS CYCLES: The extent of this module is partly indicated in the title. It is about real business cycle (RBC) theory. In addition, it exposes you to New Classical Bu

the bundle containing more bread, Assume that John has the following prefe...

Assume that John has the following preference relation over two goods, bread and bear (x1, x2). He strictly prefers any bundle x over y whenever x haves more bear than y, whatever

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