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

What is micro economics, Micro economics is the study of individual unit of...

Micro economics is the study of individual unit of an economy

Elasticity, You estimate that the price elasticity of demand for one-acre p...

You estimate that the price elasticity of demand for one-acre plots in Lusaka is -1.5 and that income elasticity of demand is 5. Land owners intend to increase the price of a one-a

Home work, #question. what is the underlying reason for the law of increas...

#question. what is the underlying reason for the law of increasing opportunity cost?

Market economy, what is market economy and how it solve the central problem...

what is market economy and how it solve the central problem

There is in substitute for a insulin, Commodities that are viewed as luxuri...

Commodities that are viewed as luxuries typically have price elastic demand, and commodities that are requirements have price inelastic demand.  There is easily no substitute for a

Mankiw principles of microeconomics 7th edition, Lovers of classical music ...

Lovers of classical music persuade Congress to impose a price ceiling of $40 per concert ticket.

A significant majority of consumers, Normal 0 false false f...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4 The demand schedule c

Monopoly, how is monopoly different from opligopoly

how is monopoly different from opligopoly

Why is human capital so important in the development process, Why is human ...

Why is human capital so important in the development process? Explain human capital in terms of (the sum of) education/training/experience/ literacy etc, and clearly show how t

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