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

Investment.., a reduction in investment spending would lead to

a reduction in investment spending would lead to

Determinants of social demand for education - excellence, Determinants of S...

Determinants of Social Demand for Education - Excellence Apart from the three considerations identified by Prof. Musgrave for public investments in education and discussed abo

Growth of agricultural production and productivity, Growth of Agricultural ...

Growth of Agricultural Production and Productivity: Post-independence period was marked by severe and recurrent shortages of foodgrains. Dependence on imports of foodgrains wa

Affect the size of the price elasticity of demand, Problem: i) What mig...

Problem: i) What might be the possible causes of inflation according to economic theory? ii) Taking stable prices and full employment as two macroeconomic objectives of gov

Price, hi i need price,cross and income elasticity of toyota corolla car. ...

hi i need price,cross and income elasticity of toyota corolla car. its only small part of the assignment topic so its need around 500 words. thanks ishwor

Macroeconomics, 8,000,000 people in the population who are 16 yrs of age an...

8,000,000 people in the population who are 16 yrs of age and older. 80% are willing to work. Currently 10% unemployment rate. a. how many people in labor force? b. How many are un

PPC schedule, 1)The productive capability of an economy is such that to pro...

1)The productive capability of an economy is such that to produce 5 units of military good it takes 2 workers to be employed while 10 units of consumer goods require 3 workers. Res

Demand function, Demand Function The function capturing the dependent ...

Demand Function The function capturing the dependent relationship between the price people are willing to pay for products or service and other factors related to that product

Capital account, Capital Account: The Capital Account presents transfe...

Capital Account: The Capital Account presents transfers of money and other capital items and changes in the country's foreign assets and liabilities resulting from the transac

Indifference curves, Indifference curves present all possible combinations ...

Indifference curves present all possible combinations of market baskets that give the similar level of satisfaction to a person. Indifference Curves 1. Indifferen

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