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

Application of disquilibriam analysis, question #Minimum 100 words accepted...

question #Minimum 100 words accepted#History of cobweb theory

How might country achieve living standards growth, Once countries already h...

Once countries already have a high level of production, how might they achieve living standards growth?  Once countries achieve a high level of production, they might be achiev

Macroeconomics question, In June 2009, Textile co. (a domestically located ...

In June 2009, Textile co. (a domestically located firm) purchased 1000 yards of cloth from India (a foreign country) for $1000. Textile co. hired Elizabeth and paid her $5000 to s

Quantity pricing, 1. Sam Smith owns an internet radio company that has subs...

1. Sam Smith owns an internet radio company that has subscribers in Houston and Dallas. The demand functions for the 2 markets are: Q(Houston) = 50-0.35P(Dallas) Q(Dallas) = 80-0.

., what total cost function yields a U-shaped average total cost function

what total cost function yields a U-shaped average total cost function

Tax, if the inverse demand curve is p = 120 - Q and the marginal cost is co...

if the inverse demand curve is p = 120 - Q and the marginal cost is constant at 10, how does charging the monopoly optimum and the welfare of consumers, the monopoly, and society?

Solution.., i want to know that ,wheather lithium iodide can be used as red...

i want to know that ,wheather lithium iodide can be used as redox electrolyte? and acetonitrile canbe used as redox electrolyte? ehich is more efficient?n..

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