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

Bandwagon effect - network externalities, The Bandwagon Effect - This i...

The Bandwagon Effect - This is desire to be in style, to have a commodity because almost everyone else has it, or to indulge in it. - This is major objective of marketing an

Brief overview on signs and symptoms, Project requirements: Refer to Table...

Project requirements: Refer to Table and answer the following questions for EACH organism listed above. Word requirements are outlined for each question - this represents a minim

International development association, International development associatio...

International development association: Part of the challenge entails reorienting surveillance, the process through which the BW institutions policy advice is delivered, to mak

Marginal product, I am having a hard time figuring out how to find marginal...

I am having a hard time figuring out how to find marginal product.

Van der Waal''s Equation , Deviation from ideal gas behavior The Van der Wa...

Deviation from ideal gas behavior The Van der Waal''s Equation This is observed, deviations from gas laws are high under high pressures & low temperatures. The Van der Waal suggest

Collective opinion method, This is also known as sales force Opinion Method...

This is also known as sales force Opinion Method. In this method instead of consumers the opinion of the salesmen is sought. It is sometimes referred as the grassroots approach as

Concept and meaning of infrastructure, CONCEPT AND MEANING OF INFRASTRUCTUR...

CONCEPT AND MEANING OF INFRASTRUCTURE: Infrastructure sectors are the backbone of a national economy. It has been commonly opined that infrastructure development is closely re

Define regressive tax, Q. Define Regressive Tax? Regressive Tax: A tax ...

Q. Define Regressive Tax? Regressive Tax: A tax in that lower-income individuals or households bear a proportionately greater burden of the tax. Sales taxes aretypically consid

Positive versus normative economics, Positive versus Normative Economics ...

Positive versus Normative Economics Positive Economics Positive economics considers with the predictions or observations of the particulars of economic life. For instance:

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