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Adverse Selection and Moral Hazard
Ed. 7: Ch. 12 pgs 448-452, Ch. 6 pgs 223-226
Ed. 6: Ch. 12 pgs 450-456, Ch. 6 pgs 219-227
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Private Information/ Asymmetric Information
Definition:A situation that exist when some people have better information than others.
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2 Types of Asymmetric Information
1. Hidden Characteristics – things one party to a transaction knows about itself but which are unknown by the other party.
2. Hidden Action – actions taken by one party in a relationship that cannot be observed by the other party.
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A) ADVERSE SELECTION Definition
Situation where individuals have hidden characteristics and in which a selection process results in a pool of individuals with undesirable characteristics.
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Example 1: Used Car Market The used car market for 1990 Honda Civics
consists of 300 sellers and many, many risk-neutral buyers (call it an infinite # of buyers). 200 of the sellers have “lemons” (cars they have not taken care of very well) and 100 of the sellers have “peaches” (cars they have taken care of). All sellers with lemons have a reservation value of $1,000 and all sellers with peaches have a reservation value of $2,500. The maximum buyers are willing to pay for a 1990 Honda Civic if they know it is a lemon is $2,000 and the maximum buyers are willing to pay for a 1990 Honda Civic if they know it is a peach is $3,000.
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Table for Example 1
Lemons Peaches
Sellers’ Reservation Value (minimum they are willing to accept)
$1,000 $2,500
Buyers’ Willingness to Pay(maximum they are willing to pay)
$2,000 $3,000
# of sellers 200 100
Assume there are many, many buyers.
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A. Assume Perfect Information (both Buyers and Sellers can tell a lemon from a peach) so no Adverse Selection
Supply and Demand for 1990 Honda Civics that are lemons.
Equilibrium Price for a lemon is $2,000 and all 200 are sold.
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A. Assume Perfect Information (both Buyers and Sellers can tell a lemon from a peach) so no Adverse Selection Supply and Demand
for 1990 Honda Civics that are peaches.
Equilibrium Price for a peach is $3,000 and all 100 are sold.
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B. Assume Private Information (Sellers can tell a lemon from a peach but Buyers cannot).
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Demand for 1990 Honda Civics1. What if the price is >$2500, say $2800?
Buyers know that both lemons and peaches will be put on market so buyer’s expected value of a car on market is 200/300*$2000+100/300*$3000=$2,333. If buyers are risk neutral, the maximum they are willing to pay would be $2,333. Since price is >2,500, buyers will not buy car so QD=0.
2. What if the price is $2400?Buyers know that only lemons will be put on market so the maximum buyers are willing to pay is $2000. If price is $2,400, then buyers will not buy car so QD=0.
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Demand for 1990 Honda Civics3. What if the price is $2200?
Buyers know that only lemons will be put on market so the maximum buyers are willing to pay is $2000. If price is $2,200, then buyers will not buy car so QD=0.
4. What if the price is $2000?Buyers know that only lemons will be put on market so the maximum buyers are willing to pay is $2000. If price is $2,000, buyers are indifferent between buying and not buying so QD=[0,∞].
5. What if the price is $1,900?Buyers know that only lemons will be put on market so the maximum buyers are willing to pay is $2000. If price is $1,900, all buyers want to buy so QD=∞.
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B. Assume Private Information (Sellers can tell a lemon from a peach but Buyers cannot)
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What Happens in the End?
Only Lemons are sold even though the maximum the buyers are willing to pay for a peach is greater than the sellers’ reservation value (i.e., the “bad” drives the “good” out of the market).
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Importance of other Assumptions
There are an infinite number of Buyers. Buyers are risk neutral so are willing to
pay their expected valuation for the car. Everyone knows exactly the number of
lemons and peaches and what buyers are willing to pay and sellers are willing to accept (reservation value).
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What actions might be taken to minimize Adverse Selection problem?
1. Offer a Warranty (must be credible offer).
2. Have the car inspected by a mechanic.
3. Have the seller incur some reputational costs from selling a lemon
http://cell-phones.shop.ebay.com/items/Bluetooth-Accessories__W0QQ_sacatZ80077
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What does Adverse Selection have to do with the following?1. The “value” of a new car decreasing significantly as
soon as it is driven off the lot.2. Purchasing a cell phone on ebay.3. MSU use to allow their employees to change life
insurance amounts once a year. We choose between 1 year’s salary, 2 years’ salary, $500,000 and $1,000,000. In a given year, MSU only allows their employees to increase their insurance by one increment each year– for example, an employee can go from 1 year to 2 years of salary in a given year or 2 years to $500,000 but cannot go from 1 year to $500,000 – unless the employee obtains a physical. This policy changed last year. Now you cannot change life insurance amounts unless you fill out a survey and if there are any concerns by the insurance company, they will require you to submit your medical records.
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What does Adverse Selection have to do with the following?4. Why health and life insurance are often “tied” to
employment.5. Why some firms want to obtain DNA samples
of potential employees.6. Why Social Security is “mandatory”.7. Why the large majority of babies adopted from
China are girls.8. Why investors are often concerned when
private companies go public with an IPO.9. Pool of card holders for a credit card company
with high interest rates.
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National Health InsuranceRunning for cover , The Economist , October 4, 2008
Mr Obama aims to expand coverage through a mix of new regulations, policy reforms and subsidies. Under his plan, insurers would no longer have the right to reject anyone as too ill or too costly. He would create a "National Health Insurance Marketplace" (akin to the regulated "connector" set up in Massachusetts) where individuals and firms could purchase either private insurance plans or public alternatives modelled on Medicare. In future all but the smallest of corporations would be required to offer insurance--or pay a stiff fine.
Will it work? Mrs Clinton insisted it would not. Her main objection was that this plan did not contain a key feature shared by her plan and the Massachusetts reforms: an individual mandate, or legal requirement, to purchase cover. Under Mr Obama’s plan, the only personal mandate is that parents must buy insurance for their children. Fans of mandates argue that without compulsion, reform efforts will be upended by the problem of adverse selection. Young and healthy people opt not to buy coverage, leaving a sicker and so costlier risk pool.
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National Health Insurance (cont) Mr Obama’s pragmatic, and politically clever, retort is that it is
unreasonable to require individuals to purchase something whose cost cannot be known with certainty in advance. Therefore, he insists, he will take measures that will both expand the insurance market and reduce the overall cost of coverage by (he claims) some $2,500 per typical family over time. That will make it so attractive to individuals to buy insurance, say his advisers, that 98% of people will do so.
This points to a few question-marks about Mr Obama’s plan. One is that nobody knows how big the problem of adverse selection will be in a system without mandates. But supporting his argument for pragmatism is the trouble that Massachusetts is finding in implementing its ambitious mandate. Although hefty subsidies are provided for the poorest and insurers have been pressured to offer cheaper plans, far more residents than expected have found insurance unaffordable and have therefore been granted waivers. One architect of the state’s plan says that unless costs are reined in rapidly, it "will fall apart in a couple of years".
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What does Adverse Selection have to do with the following?4. Why health and life insurance are often “tied” to
employment.5. Why some firms want to obtain DNA samples
of potential employees.6. Why Social Security is “mandatory”.7. Why the large majority of babies adopted from
China are girls.8. Why investors are often concerned when
private companies go public with an IPO.9. Pool of card holders for a credit card company
with high interest rates.
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Example 2: Credit Card Market You own a credit card company and must select an
annual interest rate to charge for outstanding balances. Suppose you have already decided not to charge an annual fee. There exist three different types of individuals who may be interested in obtaining the credit card. A Type I individual averages an outstanding balance of $100 annually and benefits $50 from having the credit card. A Type II individual averages an outstanding balance of $2,000 annually and benefits $400 from having the credit card. A Type III individual averages an outstanding balance of $5,000 annually and benefits $500 from having the credit card. There are 100 Type I individuals, 10 Type II individuals and 5 Type III individuals. It costs you $10 for each individual who obtains a credit card (i.e., you have constant marginal costs). What annual interest rate should you select in order to maximize profits?
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Table for Example 2
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Credit Card Company’s Demand
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What interest rate maximizes Profits?
Profits if set i=50%
100[100*.5]-100*10 = 4,000 Profits if set i=20%
100[100*.2]+10[2000*.2]- 110*10 = 4,900 Profits if set i=10%
100[100*.1]+10[2000*.1] +5[5000*.1]
- 115*10 = 4,350
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What happens when Credit Card Company Maximizes Profits?
The company sets i=20% and only Types I and II obtain the credit card. Note that Type III is the good/best type for the credit card company.
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Adverse Selection when Hiring
Suppose you are in the HR department of a company and are deciding which of two candidates to hire. The two candidates’ qualifications look identical except one candidate lost her prior job because the company she worked for went bankrupt and the other candidate lost her prior job because she was laid-off.
Which candidate would you hire and why?Gibbons and Katz, Journal Of Labor Economics
http://www.jstor.org/view/0734306x/di009532/00p0086m/0?currentResult=0734306x%2bdi009532%2b00p0086m%2b0%2c5755757D&searchUrl=http%3A%2F%2Fwww.jstor.org%2Fsearch%2FBasicResults%3Fhp%3D25%26si%3D1%26gw%3Djtx%26jtxsi%3D1%26jcpsi%3D1%26artsi%3D1%26Query%3Dkatz%2Band%2Bgibbons%26wc%3Don
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Example 3: Adverse Selection when Hiring
Michigan State University is trying to hire an economics professor from Brown University. Michigan State does not know whether the economics professor is an excellent economist, a good economist, an adequate economist or a bad economist. However, MSU believes she is an excellent economist with probability .4, a good economist with probability .2, an adequate economist with probability .2, and a bad economist with probability .2. Michigan State University is willing to pay an excellent economist a wage of $100,000, a good economist a wage of $80,000, an adequate economist a wage of $60,000, and a bad economist a wage of $40,000.
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Example 3: Adverse Selection when HiringBrown University knows whether the professor is
an excellent, good, adequate or bad economist. Brown University is willing to pay a wage of $75,000 if the economist is excellent, a wage of $58,000 if the economist is good, a wage of $48,000 if the economist is adequate and a wage of $45,000 if the economist is bad. Suppose Michigan State has one chance to make a wage offer to the economics professor at Brown University and, after MSU makes the offer, Brown University can make a wage offer to the professor. The professor will leave Brown if Michigan State University’s wage offer is more.
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What wage should Michigan State University offer the economics professor if Michigan State University is risk-neutral?
Type Probability MSU Brown
Excellent .4 100k 75k
Good .2 80k 58k
Adequate .2 60k 48k
Bad .2 40k 45k
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Obviously, MSU should offer either 75k, 58k, 48k or 45k.
Expected payoff for MSU if pay these different amounts.
MSU gets all types to come if offer 75k so MSU’s expected payoff is
.4(100k-75k)+.2(80k-75k)+.2(60k-75k)+.2(40k-75k)=
.4(100k)+.2(80k)+.2(60k)+.2(40k) – 75k = 1000
MSU gets only good, adequate and bad types if offer 58k so MSU’s expected payoff is
.2(80k-58k)+.2(60k-58k)+.2(40k-58k)= 1200
(Assuming the professor will come to MSU if she is indifferent between staying and going – if don’t assume that then just add a penny more to these four wages).
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Obviously, MSU should offer either 75k, 58k, 48k or 45k.
MSU gets only adequate and bad types if offer 48k so MSU’s expected payoff is
.2(60k-48k)+.2(40k-48k)= 800
MSU gets only bad type if offer 45k so MSU’s expected payoff is
.2(40k-45k)= -1000
Therefore, MSU should offer 58k because that is what maximizes expected payoff.
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2 Types of Asymmetric Information
1. Hidden Characteristics – things one party to a transaction knows about itself but which are unknown by the other party.
2. Hidden Action – actions taken by one party in a relationship that cannot be observed by the other party.
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B) MORAL HAZARD Definition
Situation where one party to a contract can take a hidden action that benefits him or her at the expense of another party.
(This is the definition in the book which I think is restrictive.)
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Firm Choosing to Produce Low Quality Product and Consumers are Aware it is Low Quality
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Assume Firm’s Marginal Cost is 20 and Total Fixed Costs are 100 if Firm Produces Low Quality Product.
MC=AVC
MRL15 Profits are 50*15-
20*15-100=350
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Firm Choosing to Produce High Quality Product and Consumers are Aware it is High Quality
0102030405060708090100110
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Assume Firm’s Marginal Cost is 20 and Total Fixed Costs are 150 if Firm Produces High Quality Product.
MC=AVC
MRH Profits are 60*20-20*20-150=650
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Example of Moral Hazard
What if Firm can choose to Produce Low or High Quality and Consumers cannot differentiate a Low Quality from a High Quality Product at the time they decide whether to Purchase? Assume consumers are aware of the “game”.
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What does Firm Do?Would firm select to produce High quality
if the consumers believe that the firm is producing a high quality product?
No because the firm could increase profits from 650 to 700 by producing a low quality product (given that consumer believe it is a high quality product).
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If Consumers know game, would they believe the firm is producing a high quality product?
Given that the firm has incentive to produce low quality no matter what the consumers believe the quality of the product, the consumers should believe that the firm produces the low quality product. In the end, the consumers believe it is low quality, the firm produces a low quality and firm’s profits are $350.
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Other Situations/Topics involving Moral Hazard
Employee Compensation and Monitoring
CEO PAY http://www.forbes.com/2010/01/21/state-of-ceo-leadership-governance-boards.html?partner=whiteglove_bing
http://www.forbes.com/2009/04/22/executive-pay-ceo-leadership-compensation-best-boss-09-ceo_land.html
D’Antonio’s Contract (MSU Football Coach)
Geofencing
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D’Antonio’s Contract
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D’Antonio’s Contract (cont.)
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Other Situations/Topics involving Moral Hazard
Employee Compensation and Monitoring
CEO PAY http://www.forbes.com/2010/01/21/state-of-ceo-leadership-governance-boards.html?partner=whiteglove_bing
http://www.forbes.com/2009/04/22/executive-pay-ceo-leadership-compensation-best-boss-09-ceo_land.html
D’Antonio’s Contract (MSU Football Coach)
Geofencing
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Cell PhonesThe technology causing a stir is called "geofences," and here's how it
might work: A struggling salesman veers off his route and slinks into a bar. Within
moments, his boss knows he's there. The bartender didn't rat him out. It was his work-issued cell phone. By
bringing it inside, the phone crossed a computer-generated "fence" drawn around the bar by the boss. A tracking chip in the phone triggered an e-mail that was sent back to the office: The salesman's drinking lunch again.
Geofences, or computer-generated barriers, have become more popular as a way to boost productivity and cut waste. But they've also raised the eyebrows of workers, labor unions and privacy groups who, among other things, are concerned about the impact on morale.
"It's basically telling employees: 'We don't trust you,' " said William Herbert, a New York labor attorney who has studied the so-called "human tracking" issue.
Makers of the software, though, point to the money that can be saved by paying for actual hours worked and insist good workers have nothing to fear.
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Other Situations/Topics involving Moral Hazard
Employee Compensation and Monitoring
CEO PAY
D’Antonio’s Contract (MSU Football Coach)
Geofencing Insurance (Unemployment, Life, Health,
Disability) Helmet Laws/ Seat Belt Laws
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Bicycle HelmetsDrivers Give Helmeted Bicyclists Less
Leeway(February 2007) Bicyclists who wear protective helmets are
more likely to be struck by passing vehicles, according to a study recently published in Accident Analysis & Prevention.
Ian Walker, a traffic psychologist at the University of Bath, hypothesized that the amount of leeway a motorist gives a bicyclist can be influenced by the cyclist's appearance. To test a few theories, he took to the streets of Salisbury and Bristol on a bike equipped with a distance sensor and computer to gather data from more than 2,500 motorists as they passed him over the course of two months.
He found that the cyclist's appearance can affect driver behavior. Motorists passed an average of 8.5 cm closer to Walker when he wore a helmet than when he biked bareheaded.
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Other Situations/Topics involving Moral Hazard
Employee Compensation and Monitoring
CEO PAY
D’Antonio’s Contract (MSU Football Coach)
Geofencing Insurance (Unemployment, Life, Health,
Disability) Helmet Laws/ Seat Belt Laws Deer Hunting
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Deer Hunting in Pennsylvania
Related Accident- victim shot as game, stray bullet, etc.Unrelated Accident - unintentional discharge, hunter slipped or fell, hunter dropped sports arm, etc.
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Deer Hunting in Pennsylvania
Law Changes:1. Concurrent Buck and Doe Season starting in 20002. Antler Restrictions starting in 2002
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Other Situations/Topics involving Moral Hazard
Employee Compensation and Monitoring CEO PAY D’Antonio’s Contract (MSU Football Coach)Geofencing
Insurance (Unemployment, Life, Health, Disability)
Helmet Laws/ Seat Belt Laws Deer Hunting Hiking
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Hiking with a locatorMount Hood hikers praise dog as debate erupts over requiring locators 2-21-07
SALEM, Ore. (AP) — The three hikers rescued after a fall and an icy night on Mount Hood said Wednesday their survival techniques included exercise and pep talks.
Aiding in the successful outcome was the fact that the climbers had an electronic locator unit that helped rescuers find them. On Tuesday, a state House panel opened hearings in Salem on a bill to require that climbers who intend to go above 10,000 feet on Mount Hood from November through March carry the locators.
But veteran mountaineers urged legislators to reject the bill. Some warned that requiring locators — easily activated in a crisis — would foster passivity among climbers.
The devices weigh 8 ounces and cost a rental fee of $5, hardly a physical or financial burden, Lim said.
In Tuesday's hearing, however, the climbers emphasized the argument that requiring the locators would give many climbers a false sense of security in an inherently dangerous sport.
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Other Situations/Topics involving Moral Hazard Employee Compensation and Monitoring
CEO PAY D’Antonio’s Contract (MSU Football Coach)
Geofencing Insurance (Unemployment, Life, Health,
Disability) Helmet Laws/ Seat Belt Laws Deer Hunting Hiking Bailout
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BailoutTHE BAILOUT BALANCING ACT COULD WORK , Business Week , 9- 29-08
By refusing to pony up more money to save Lehman Brothers, the U.S. government took a high-stakes gamble over the weekend of Sept. 12-14. After committing $29 billion to the teardown of Bear Stearns and up to $200 billion in the nationalization of Fannie Maeand Freddie Mac, Washington looked at the plight of Lehman and just said no. Yet, not two days later, the Federal Reserve gave troubled insurer American International Group an $85 billion loan, effectively taking over the company.Who survives and who doesn't? Those decisions could usher in the end of the credit crisis--or they might mark the end of any hope for an economic recovery next year.
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BailoutTHE BAILOUT BALANCING ACT COULD WORK , Business Week , 9- 29-08
This new uncertainty in the outlook reflects the cost of stepping back from moral hazard. Policymakers know that moral hazard--which arises when institutions don't bear the full consequences of their actions--can never be eliminated. Rather, they view the problem as a trade-off between the risk that government bailouts could encourage financial imprudence and the danger that without them, an event such as the failure of AIG could collapse the system. In the case of Lehman, the Fed and Treasury took a gamble that Lehman's failure could be a major step toward healthier financial markets. As for AIG, the risk to the system was simply too great.
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BailoutA cautionary tale from the future; Buttonwood , The Economist , 9-27-08
FINANCIAL authorities in America and Europe took sweeping powers yesterday to avert a financial crisis by imposing restrictions on markets. In their sights are a peculiar brand of speculators known as "long-buyers" who buy assets not to live off the income they generate but to profit from rising prices."Some of these people buy homes that they have no intention of living in," said Lord Poohbah, chairman of Britain?s Financial Services Authority, "and others buy shares they plan to own for just days or weeks, rather than the prudent time period of several years." Their actions force prices up above fundamental valuation levels, critics say, causing some British tabloid newspapers to call leading fund managers "greedy pigs".
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BailoutA cautionary tale from the future; Buttonwood , The Economist , 9-27-08
Particular criticism has been reserved for people dubbed "naked long-buyers", those who try to buy homes without putting up a deposit. "Such people are in effect renters with a free call option on rising house prices," said one financial analyst, "but they expect to be bailed out by taxpayers when house prices fall."Not only is this a clear case of moral hazard (the encouragement of irresponsible risk-taking) but their activities drive up house prices, putting them beyond the reach of hard-working families who have diligently saved up to put down a deposit. Also in the speculative category are "buy-to-letters" who buy a string of houses with borrowed money in the hope of making outsize gains.