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

Role of managers, Managers: Top directors and managers of larger companies ...

Managers: Top directors and managers of larger companies who are assigned the task of organizing disciplining workers, initiating production and accounting to shareholders for perf

Criticisms of world trade organisation, Criticisms of World trade organisat...

Criticisms of World trade organisation:   There are critics too of the WTO. It is believed that the WTO will emerge out destructive of biodiversity and people's livelihoods by

Investment.., a reduction in investment spending would lead to

a reduction in investment spending would lead to

ECON, why society has chosen the mixed economy

why society has chosen the mixed economy

HCA586, how do cooperative and noncooperative games differ

how do cooperative and noncooperative games differ

Behavioural economics, An economics branch which keep concentrate on illumi...

An economics branch which keep concentrate on illumination the economic decisions people make in practice, particularly when these conflict with what conventional economic theory p

Chapter 6, (a) Suppose Scientists discover that eating soybeans prevents ca...

(a) Suppose Scientists discover that eating soybeans prevents cancer and heart disease.

Tax incidence, if the inverse demand curve is p=120-Q and the marginal cost...

if the inverse demand curve is p=120-Q and the marginal cost constant at 10, how does the monopoly a specific tax of 10 per unif affect the monopoly optimum and welfare of consumer

Various forms of aid a developing country might receive, What are the vario...

What are the various forms of aid a developing country might receive? Here the student must show clearly the difference between grant (donor) aid; reciprocal (tied) aid; bilat

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