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

Elastics and inelastics, You just opened a flower shop and are trying to un...

You just opened a flower shop and are trying to understand pricing issues. You were told that elasticities are very important in determining prices and what products to supply, so

Marginal revenue, Marginal Revenue, Marginal Cost & Profit Maximization ...

Marginal Revenue, Marginal Cost & Profit Maximization * Determining profit maximizing level of output - Profit (π ) = Total Revenue - Total Cost - Total Revenue (R) = Pq

Describe the features of monopolistic competition, It is important to under...

It is important to understand the important characteristics of monopolistic competition. The knowledge of these features will enable the students to know how this form of market st

Calculate the keynesian multiplier and short run equilibrium, The governmen...

The government notices that there is an output gap and decides to increase government spending with a stimulus package of $4 trillion in hopes that it will spur growth and stop une

Arbitrage pricing theory, Arbitrage pricing theory is between one of two in...

Arbitrage pricing theory is between one of two influential economic theories of how assets are formed or priced in the financial markets and the other model is the capital asset pr

MBA, The market demand for brand X has been estimated as Qx=1500-3Px-0.05I-...

The market demand for brand X has been estimated as Qx=1500-3Px-0.05I-2.5Py+7.5Pz Where Px is the price of brand X, I is per-capita income, Py IS the price of brand Y, and Pz is th

Mangerial Economics, A portion of the demand schedule for wax candles (per ...

A portion of the demand schedule for wax candles (per case) is shown below. Px $50 $30 $10 Qx 500 600 700 What is the demand curve (straight line) that corresponds to the schedu

Micro., what is the theory of second best? prove the theorem with the help ...

what is the theory of second best? prove the theorem with the help of a diagram.

Microeconomics, INFO: Suppose that a firm is currently employing 20 workers...

INFO: Suppose that a firm is currently employing 20 workers,(the only variable input), at a wage rate of $60. The average product of labor is $30, the last worker added 12 units to

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