Microeconomics, Microeconomics

Assignment Help:
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:- Microeconomics

Production function, Given the cost function as C=0.3Q3 -2Q2 + 13Q + 25, fi...

Given the cost function as C=0.3Q3 -2Q2 + 13Q + 25, find the supply function.uestion..

Role of managerial economist, Explain the role of managerial ecnomist in ki...

Explain the role of managerial ecnomist in kissan &dipsy fro ub group

Economics final paper analysis, This is what this paper should be about ...

This is what this paper should be about 1) In the first paragraph analyze what you most learned from the course to reflect on the statement below. 2) In each separat

Labour economics, Much of the supply-side, fiscally conservative economic p...

Much of the supply-side, fiscally conservative economic policies of Margaret Thatcher, Ronald Reagan, and even Mike Harris in Ontario were predicated on the belief that high income

Estimation based on the probit model, Let {(y i ; x i ); 1 ≤ i ≤ n} be an i...

Let {(y i ; x i ); 1 ≤ i ≤ n} be an i.i.d sequence of random variables where yi and xi satisfy the linear relationship y i = β 0 + β 1 x i + ∈ i with Cov(x i ; ∈ i ) = 0

Maneferial, Plot the demand schedule and draw the demand curve for the data...

Plot the demand schedule and draw the demand curve for the data given for Marijuana

What are the important functions to maximize total surplus, What are the im...

What are the important functions to maximize total surplus? The market equilibrium maximizes total surplus since the market performs four significant functions are as follows:

Determine the optimal order size, A major component of the costs of many la...

A major component of the costs of many large firms is the cost associated with ordering and holding inventory. If the yearly demand for the good is D and the size of each order pla

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