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

What is black economy, Defining black economy, If you pay your cleaner or ...

Defining black economy, If you pay your cleaner or builder in cash or for some reason neglect to tell the taxman which you were paid for a service rendered, you participate in the

Bayesian Nash Equilibrium, Consider 2 firms i=1,2 producing quantities q1 a...

Consider 2 firms i=1,2 producing quantities q1 and q2 respectively. Let the market price be given by P=a-b(q1+q2). Firm 1''s Marginal cost c is common knowledge but 2''s cost is no

Describe clearly how the interest rate is determined, (a) Describe clearly ...

(a) Describe clearly how the interest rate is determined in: (i) Loanable Funds Framework; and (ii) Liquidity Preference Framework. (b) According to Liquidity preference

Calculate the profit maximizing price, Suppose you have 10 individuals with...

Suppose you have 10 individuals with values {$1, $2, $3, $4, $5, $6, $7, $8, $9, $10}.  Your marginal cost of production is $2.50.  What is the profit-maximizing price?  Using this

Specialization and trade, • If Mary uses all her resources to produce hats,...

• If Mary uses all her resources to produce hats, she can produce 48 hats an hour. • If she uses all her resources to produce apple pies, she can make 24 apple pies an hour. how

Herfendahl index, #qu3. An industry is composed of 20 firms, all with equal...

#qu3. An industry is composed of 20 firms, all with equal sales. The Herfendahl Index ratio in this industry is a. 1000 b. 500 c. 800 d. This cannot be determined from the informat

ELASTICITY, 2. Suppose the price of printing paper for digital cameras has ...

2. Suppose the price of printing paper for digital cameras has recently risen by 10 percent due to an increase in the cost of materials used in the finish for the paper. As a resu

The demand curve, The Demand Curve - The demand curve exhibits how much...

The Demand Curve - The demand curve exhibits how much of a good consumers are ready to buy as the price per unit changes keeping non-price factors constant. - This price-qua

What do you meant by investment, Q. What do you meant by Investment? In...

Q. What do you meant by Investment? Investment: Investment represents production which isn't consumed though rather is utilized in the production of other additional output. In

Williamson''s managerial discretion., how is price and output equilibrium d...

how is price and output equilibrium determined in Williamson''s model of managerial discretion?

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