User Account

All Pages

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

Competitive firm, Ask question how do I find the Price

Ask question how do I find the Price

Describe the law of supply, Supply of a commodity is functionally related t...

Supply of a commodity is functionally related to its price. The law of supply rated to this function relationship between price of a commodity and its supply. In contrast to the in

What is average revenue and average revenue curve, What is average revenue ...

What is average revenue and average revenue curve Average Revenue:   The average revenue is the total revenue separated by the level of output. It is therefore the price.

Price elasticity, The price elasticity ( ε ) of demand for Q has been esti...

The price elasticity ( ε ) of demand for Q has been estimated at -0.5. Current consumption Q* is 70 units and market price (P*) is 0.70. a. Fit a linear demand curve to the obs

Home work, how do minimum units cost change with changes in fixed cost

how do minimum units cost change with changes in fixed cost

Marketing, how distribution is arranged to provide customer service

how distribution is arranged to provide customer service

Characteristic of economic laws, can economic laws proved universly

can economic laws proved universly

Market failure, What is market failure?

What is market failure?

Data manipulation, Data were taken with a Data Acquisition System (DAQ) and...

Data were taken with a Data Acquisition System (DAQ) and stored in the data file 'data.txt'. 'data.txt' is a text file with 3 columns containing the following data: Column 1: Ti

Market failure, Ask question using health care as an example explain how ma...

Ask question using health care as an example explain how markets fail due to different types of externalities arising from jointness in production and consumption

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd