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

HDI, how to write an assignment on Human development index

how to write an assignment on Human development index

The market supply of labour, graphical illustration describing the influenc...

graphical illustration describing the influence of an increase in immigrants on the market supply of labour

Market structures, implications of market structures on price determination...

implications of market structures on price determination

Supply, what happen when a supply shift to the right on a graph

what happen when a supply shift to the right on a graph

Hello, using the indifference curve approach explain why the demand curve s...

using the indifference curve approach explain why the demand curve slope downwards from left to right...... is there any exceptions?

Half-lives, How many half-lives are required for the concentration of react...

How many half-lives are required for the concentration of reactant to decrease to 1.56% of its original value?

122, 0.767 g of phosphorus and 0.650 g of chlorine were allowed to react. A...

0.767 g of phosphorus and 0.650 g of chlorine were allowed to react. After the reaction was complete, all of the chlorine had been consumed, but 0.650 g of phosphorus remained. How

Rationale for the intervention of government, 1. Describe why government re...

1. Describe why government regulation is required, citing the major reasons for government involvement in a market economy. 2. Justify the rationale for the intervention of gove

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