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

Aggregate supply, Aggregate Supply When referred to in the circumstanc...

Aggregate Supply When referred to in the circumstance of GNP or GDP, aggregate supply refers to the labor and capital needs to proceeds the level of products and services need

Write short note on monopoly model, In the purely competitive analysis, the...

In the purely competitive analysis, there were two dissimilar models, one model for the industry, in which the interaction of supply and demand recognized the market price and quan

Need help, #queA monopolist has a constant marginal and average cost of $10...

#queA monopolist has a constant marginal and average cost of $10 and faces a demand curve Of Qd = 1000-10P. Marginal revenue is given by MR= 1000-1/5Q. stion..

Derived demand, which is the following is an example of a firm''s derived d...

which is the following is an example of a firm''s derived demand?

Consumer behavior, Consumer Behavior The description of how consumers...

Consumer Behavior The description of how consumers allot their resources (income) to the purchase of various goods and services to get maximum in their well being. There a

Quality control - export strategy, Quality Control: Standards and sta...

Quality Control: Standards and standardisation, quality systems, certification and inspections, measurement systems, testing laboratories, their accreditation and calibration

Value chain, V alue Chain It is the collection of activities within...

V alue Chain It is the collection of activities within an organization that allows it to compete within an organization. The activities in a value chain can be grouped into

Describe the spatial distribution, Show that a pulsed spherical wave has a ...

Show that a pulsed spherical wave has a complex wavefunction of the form U(r,t) = (1/r)a(t-r/c) where a(t) is an arbitrary function. An ultrashort optical pulse has a complex wavef

Average product of a factor - short period analysis, Average Product (AP) o...

Average Product (AP) of a Factor: The productivity of a factor is often seen in terms of its average contribution. Although not very important in the theoretical discussions,

Monopolistic competition and oligopoly, Monopolistic Competition and Oligop...

Monopolistic Competition and Oligopoly: It was recognized that most industries exhibit the features of monopolistic competition in real-life. However, it must be pointed out 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