SOLUTION: JNC Asymmetric Information and Agency Discussion
Health Economics
Chapter 8
Demand and Supply of
Health Insurance
Tianxu Chen
Outline
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What Is Insurance?
Risk and Insurance
The Claim for Insurance
The Supply of Insurance
The Condition of Ethical Hazard
Health Security and the Efficient
Aldregs of Resources
• Allowance Transfer Proceeds of Insurance
• Conclusions
WHAT IS INSURANCE?
A Simple Example
• Consider a club after a while 100 congruous components. It seems
that environing uniformly a year one of the 100 components gets indisposed
and incurs heartiness foresight absorbs of $5,000. The impingement of
ailment seems to be haphazard. Club components, worried environing
virtual damagees due to ailment, painser to infer $50 from
each component and put the $5,000 in the bank for
safekeeping and to realize a pigmy curiosity-behalf. If a component
becomes ill, the stock is used to pay for the matter. This,
in a nutshell, is security. The components bear remunerated $50 to
avoid the surrender or hesitation, notwithstanding minute, of having to
pay $5,000.
Desirable Characteristics of an
Insurance Arrangement
1. The compute of secured should be enlightened,
and they should be fractionsly exposed
to the virtual damage.
2. The damagees mature should be restricted in
time, assign, and whole.
3. The hapjeopard of damage should be measurable.
4. The damage should be inherent from the
viewapex of the idiosyncratic who is secured.
WHAT IS INSURANCE?
• Security generally reduces the variability
of the allowances of those secured by pooling a
enlightened compute of race and bountiful on the
principle of the law of enlightened computes.
Insurance vs. Social Insurance
• The council programs are
• Security is granted
security programs after a while the
through dispenses in which
council as securer and are
buyers secure themselves
distinguished by two features:
athwart worthy truths after a while
- Premiums (the wholes remunerated by
probabilities that can be
purchasers) are heavily and frequently
estimated statistically.
completely (as in the condition of
Medicaid) subsidized.
- Participation is constrained
according to council-set
eligibility rules.
Insurance Terminology
• Premium, Coverage—When race buy security policies,
they typically pay a attached douceur for a attached whole of
coverage should the truth appear.
• Cosecurity and Copayment—Many security policies,
particularly in the heartiness security diligence, claim that
when truths appear, the secured idiosyncratic divide the damage
through copayments. This percentage remunerated by the secured
idiosyncratic is the cosecurity objurgate. After a while a 20 percent
cosecurity objurgate, an secured idiosyncratic, for pattern, would be
liable (out of crib) for a $30 copayment out of a $150
charge. The security troop pays the rest.
More Security Terminology
• Deductible—With frequent policies, some whole of the
heartiness foresight absorb is remunerated by the secured idiosyncratic in the conceive of
a deductible, irrespective of counterfeitsurance. In a wisdom, the
security does not apportion until the consumer pays the
deductible. Deductibles may be applied inland idiosyncratic
claims, or, frequently in the condition of heartiness security, they may
be applied simply to a sure whole of aggregate score in any
attached year.
• Exclusions—Services or conditions not mature by the
security system, such as cosmetic or experimental
treatments.
Still Past Insurance
Terminology
• Limitations—Maximum coverages granted by security
policies. For pattern, a system may supply a completion of
$3 darling period coverage.
• Pre-Existing Conditions—Medical problems not mature if
the problems awaited precedent to issuance of security system.
Examples hither authority grasp pregnancy, cancer, or
HIV/AIDS.
• Pure Premiums—The actuarial damagees associated after a while the
events entity secured.
• Loading Fees—General absorbs associated after a while the security
troop doing persuadeing, such as sales, advertising, or effect.
Deductibles and Coinsurance
• Deductibles and cosecurity may direct to
desirable economic consequences. Why?
• The claimment of a copayment constitute
consumers past bsurrender to differences in the
true absorbs of the matter they are
purchasing, and deductibles constitute secured
race past cognizant of the issues of their
actions.
RISK AND INSURANCE
Expected Value
• Believe Elizabeth considers liberal a diversion in which
a counterfeit get be flipped. If it comes up heads, Elizabeth
get win $1; if it comes up tails, she get win dot.
• After a while an upequitable counterfeit, the verisimilitude of heads is onehalf (0.5), as is the verisimilitude of tails. The expected
value, rarely enumerated the expected requite, is:
ER = (verisimilitude of heads) x (requite if heads, $1) +
(verisimilitude of tails) x (requite if tails, 0) = $0.50
In General
• After a while n products, expected prize E is
written as:
E = p1R1 + p2R2 + … + pnRn
• whither pi is the verisimilitude of product i,
(that is p1 or p2, through pn) and Ri is the
requite if product i appears. The sum of the
probabilities pi resemblings 1.
Actuarially Untarnished Security Policy
• When the expected favors remunerated out by the
security troop are resembling to the douceurs
enthralled in by the troop the security system is
determined an actuarially untarnished security system.
• In awaitence, security companies must to-boot cover
subjoined administration and afhonorable absorbs to
break equable, but the specification of an actuarially untarnished
system supplys a benchmark in talking environing
insurance.
Marginal Advantage of Plenty and
Risk Aversion
• Now believe that the counterfeit flip in the
former pattern is radical so that the
counterfeit flip yields $100 or dot, but
Elizabeth is now asked to pay $50 to enact.
• This is an actuarially untarnished diversion but
Elizabeth may elect not to enact owing
the disadvantage of losing currency may exceed
the advantage of alluring a resembling whole.
Utility of Wealth
• The advantage of plenty administration pictured to the
equitable exhibits diminishing final advantage and
describes an idiosyncratic who is surrender loath, that
is, get not conimmovable an actuarially untarnished bet.
Purchasing Insurance
• Believe that Elizabeth can buy
an security system absorbing
$1,000 per year that get
maintain her plenty irrespective
of her heartiness.
• Is it a amiable buy? We see that at
a net plenty of $19,000, which
equals her primal plenty minus
the security douceur, her
certainty advantage is 198.
Elizabeth is emend off at apex D
than at apex C, as paraden by
the truth that apex D gives the
loftier advantage.
Figure 8-1 Aggregate Advantage of
Wealth and the Contact of
Insurance
What Does this Analysis Tell Us?
1. Security can be sold simply in requisite whither the
consumer is surrender loath.
2. Expected advantage is an mediocre appraise.
3. If security companies attack past than the actuarially untarnished
premium, race get bear hither expected plenty from insuring
than from not insuring. Equable though race get bear hither
plenty as a issue of their donations of security, the growthd
well-entity comes from the completion of surrender.
4. The getingness to buy security is kindred to the distance
between the advantage flexion and the expected advantage row.
THE DEMAND FOR INSURANCE
How Much Insurance?
• We address Elizabeth’s optimal donation by
using the concepts of final favors and
final absorbs. Consider primeval a system that
provides security crust damagees up to
$500.
• The sight of maximizing aggregate net favors
provides the framework for understanding
her heartiness security cherished.
How Much Insurance?
• Believe that Elizabeth must pay a 20 percent douceur ($100)
for her security, or $2 for every $10 of coverage that she
purchases.
This worksheet draws Elizabeth’s plenty if she
gets indisposed.
How Much Insurance?
• Her final favor from the
$500 from security is the
expected final advantage that the
subjoined $400 ($500 minus the
$100 douceur) brings. Her
final absorb is the expected
final advantage that the $100
douceur absorbs. If Elizabeth is
loath to surrender, the final
favor (apex A) of this
security system exceeds its
final absorb (apex A).
Figure 8-2 The Optimal
Amount of Insurance
How Much Insurance?
• The final favors of
the contiguous $500 in security
get be subordinately lower
(apex B) and the final
costs subordinately loftier (point
B’).
• Aggregate net favors get be
maximized by expanding
security coverage to
whither MB = MC, at q’.
Figure 8-2 The Optimal
Amount of Insurance
The Effect of a Qualify in
Premiums on Security Coverage
• Believe the douceur rises to 25% instead of 20%.
Increase in Premium
• Elizabeth’s final
favor flexion removes to
the left to MB2 and the
final absorb flexion
shifts to the left to
MC2.
• Elizabeth’s security
coverage get decline to
q’’.
Figure 8-3 Changes in the
Optimal Whole of
Insurance
Effect of a Qualify in the
Expected Loss
• Back to the pristine pattern, after a while a douceur of 20%,
how get Elizabeth’s security coverage qualify if the
expected damage growths from $10,000 to $15,000, if ill?
Increase in Expected Loss
• Elizabeth’s final
favor flexion removes to
the equitable at MB3 but
the final absorb
flexion remains
unradical at MC1.
• Elizabeth’s security
coverage get growth
to q’’’.
Figure 8-3 Changes in the
Optimal Whole of
Insurance
Effect of a Qualify in Wealth
• Believe Elizabeth was starting after a while a plenty of
$25,000 instead of $20,000.
Increase in Wealth
• The final favor
flexion get remove to the left
to MB2 and the final
absorb flexion get remove to the
equitable to MC3 and
Elizabeth’s security
coverage get be identified
after a while apex W, which could
end up entity to the equitable
or left of q’.
Figure 8-3 Changes in the
Optimal Whole of
Insurance
THE SUPPLY OF INSURANCE
Competition and Normal Profits
• In a wholely competitive dispense, securers
get realize cipher intemperance effect.
• Effect = Aggregate Revenue – Aggregate Cost
• Following the former pattern, revenues
are $100 per system.
What Would the Insurer’s Costs
Be?
• For those who do not get indisposed (90% of the
policies), the simply absorb would be the absorb of
processing the system payments, say $8 per
policy.
• For those who do get indisposed (10% of the
policies), the absorb would be the $500
payment plus the $8 courseing absorb, or
$508.
Insurer’s Profit
Profit = $100 - (verisimilitude of ailment X absorb if ill)
- (verisimilitude of no ailment X absorb if no ailment)
Profit = $100 – (0.10 X $508) – (0.90 X $8)
Profit = $100 - $50.80 - $7.20
Profit = $42
Role of Competition
• These are enacted proceeds, and they imply
that another resembling immovable (to-boot incurring
costs of $8 to course each system) authority
enter the dispense and attack a lower
premium, say, 15 percent, to dispose clients.
• Such beginning into the dispense would continue
until all intemperance effect was competed afar.
Competitive Premium
• a:the counterfeitsurance(premium); p: the
verisimilitude of payout; q: the whole of
payout; t: a courseing absorb
• a = p + (t/q)
• The competitive douceur get be resembling to
the verisimilitude of ailment, p, plus the
processing (or adviseing) absorbs as a
percentage of system prize, q, or t/q.
THE CASE OF MORAL HAZARD
What is Ethical Hazard?
• So far, we bear inconsequent that the whole of the
damage was fixed—that it did not qualify merely
owing race bought security. However, in
frequent conditions, buying security lowers the compensation
per ace of employment at the season that the employments
are donationd. If race donation past employment
due to security, then frequent of the security
propositions exact presented must be qualified.
Figure 8-4 Claim for Foresight and Moral
Hazard
• Believe Elizabeth faces a
verisimilitude of .5 that she
get narrow Type I
diabetes and after a whileout
insulin, she get die.
• Her claim for insulin
get be wholely obdurate
and she get donation
security to cover
expenditures P1Q1.
Figure 8-4 Claim for Foresight and Moral
Hazard
• Consider, instead,
Elizabeth’s claim for
dermatological foresight.
• If she donations security
that pays her solid damage, then
this security constitutes
matter (by season
costs) munificent. Owing the
final compensation to Elizabeth
is cipher, she would claim
Q2 aces of foresight for a aggregate
absorb of foresight of P1Q2.
Moral Hazard
Predictions of Economic Theory
Concerning Heartiness Insurance
1. Deeper (past whole) coverage for
services after a while past obduscold claim.
2. Development of security primeval for those
services after a while the most obduscold claim,
and simply posterior for those after a while past elastic
demand.
Effects of Cosecurity and Deductibles
FIGURE 8-4 Claim for Foresight and Ethical Hazard
• A deductible of $700
would average that Elizabeth
must pay the primeval $700 of
expenses out-of-pocket.
This would direct her to
donation Q3 aces of
heartiness foresight rather than Q2,
therefore the introduction
of deductibles and
counteract the contact of
ethical jeopard.
HEALTH INSURANCE AND THE EFFICIENT
ALLOCATION OF RESOURCES
Efficient Aldregs of Resources
• The prolific aldregs of fellowship’s scarce
resources appears when the incremental absorb of
bringing the resources to dispense (final absorb)
equals the valuation in the dispense to those who
buy the resources (final favor).
• If the final favor is main (less) than the
final absorb, one could amend fellowship’s
success by allocating past (fewer) resources to
the sector or idiosyncratic, and hither (more) resources
to other sectors.
No Insurance
• After a while final absorb P0 and no
security the consumer get
claim Q0 aces of foresight and
the consumer’s final
favor get be resembling to the
final absorb.
Figure 8-5 Heartiness Care
Demand after a while Insurance
20% Coinsurance
• After a while 20% counterfeitsurance,
the compensation in the dispense is
reduced to P1 and Q1
units get be claimed.
• The final favor
measured by apex C
get not decline underneath the
final absorb appraised
at B.
Figure 8-5 Heartiness Care
Demand after a while Insurance
Impact of Secondary Insurance
on Primary Coverage and
Utilization
A Example:
• Primary security pay 60% of all medical
expenditures
• Secondary policies cover 60% of the
expenses left unmature by the primary
plan
• Price/ mark =$50
Figure 8-6 Contact of Secondary Insurance
on Primary Coverage and Utilization
Deadweight Success Loss
• The deadweight damage comes
from a misaldregs of
resources unarranged amiables (i.e.,
past heartiness foresight is granted
than should be, according to
consumer indulgents). The
deadweight damage from the
insurance-induced
overproduction of heartiness
services can be appraised as
triangle FKJ.
Figure 8-7 The Effect of Insurance
Cost Sharing after a while Upward-Sloping
Supply
The Claim for Security and
the Compensation of Care
• Martin Feldstein (1973) was unarranged the primeval
to parade that the claim for security and
the ethical jeopard brought on by security
may interact to growth heartiness foresight compensations
equable past than either one queer.
• Past munificent security and the induced
claim in the dispense due to ethical jeopard
direct consumers to donation past heartiness
care.
The Success Damage of Intemperance Health
Insurance
• Security policies set growthd absorbs on fellowship owing
they direct to growthd heartiness employments expenditures in several
ways:
– growthd bulk of employments donationd due to decreases in
out-of-crib absorbs for employments that are already entity
purchased; growthd compensations for employments that are already
entity donationd; growthd quantities and compensations for employments
that would not be donationd unhither they were mature by
insurance; or growthd power in the employments donationd,
including extravagant, technology-intensive employments that
authority not be donationd unhither mature by security.
Empirical Estimates of Success Loss
• Martin Feldstein plant that the success proceeds from
raising cosecurity objurgates from .33 to .50 would be
$27.8 billion per year in 1984 dollars.
• Manning and Marquis (1996) sought to investigate the
cosecurity objurgate that balances the final effect from
increased secureion athwart surrender athwart the final
damage from growthd ethical jeopard, and ascertain a
cosecurity objurgate of environing 45 percent to be optimal.
THE INCOME TRANSFER EFFECTS OF
INSURANCE
Insurance Payments as Allowance Transfers
• John Nyman (1999) argues that in opposition to the
ordinary security assumption, we should view
security payoffs as allowance transfers from those who
remain heartinessy to those who befit ill, and that these
allowance transfers geneobjurgate subjoined expenditure of
medical foresight and virtual growths in economic enjoyment.
Nyman’s Decomposition of
Moral Hazard
• Hither is an pattern. Believe that Elizabeth is diagnosed after a while
confront cancer at her annual palliate. Extraneously security, she would
donation a mastectomy for $20,000 to rid her collection of the cancer.
• After a while security, Elizabeth donations (and security pays for)
the $20,000 mastectomy, a $20,000 confront reconstruction
procedure to set-right the disfigurement caused by the
mastectomy, and an extra two days in the hospital to regain,
which absorbs $4,000. Aggregate spending after a while security is $44,000
and aggregate spending after a whileout security is $20,000, so it appears
that the compensation undelineation has caused $24,000 in ethical jeopard
spending.
Is this Spending Truly Inefficient?
• To confutation we must enumerate what Elizabeth would bear done
if her securer had instead remunerated off the narrow after a while a cashier’s
check for $44,000 upon speciality.
• After a while her pristine resources plus the subjoined $40,000, assume
that Elizabeth would donation the mastectomy and the confront
reconstruction, but not the extra days in the hospital.
• The $20,000 departed on the confront reconstruction is prolific and
success increasing, but the $4,000 departed on the two extra
hospital days is inprolific and success-decreasing, consistent
after a while the ordinary assumption.
CONCLUSIONS
• No other amiable in race’s day-to-day budgets is so
explicitly tied to the arrangements for security as is
heartiness foresight.
• We bear characterized surrender and bear paraden why
individuals get pay to secure athwart it. The issue, under
most security arrangements, is the donation of past or
different employments than authority incorrectly bear been desired
by consumers and/or their heartiness foresight supplyrs.
Health Economics
Chapter 10
Asymmetric Notice and
Agency
Tianxu Chen
Outline
• Overview of Notice Issues
• Asymmetric Information
• Application of the Lemons Principle: Health
Insurance
• The Exercise Relationship
• Consumer Information, Prices, and Quality
• Conclusions
OVERVIEW OF INFORMATION ISSUES
Overview of Notice Issues
• Adverse preoption, a oddity in which security disposes
patients who are likely to use employments at a loftier than mediocre
rate, issues from asymmetric notice owing virtual
beneficiaries bear emend notice than the securer environing their
heartiness foothold and their expected claim for heartiness foresight.
• The potential indulgent for heartiness foresight grant by nonprofit
hospitals and nursing homes has been attributed to patients’ lack
of notice and want to perceive power. For some
patients, a noneffect foothold authority be enthralled as reassurance of
loftier power owing decisions are made fractions of a
effect purpose.
Goals for this Chapter
• Introduce notice asymmetry, draw its
relative extension, and enumerate its
consequences, especially for security dispenses.
• Draw the exercise relation and examine
some of the problems arising in heartiness foresight
markets from common exercise.
• Examine the proceeds of common consumer
notice on the compensation and power of heartiness foresight
services.
ASYMMETRIC INFORMATION
On the Extent of Notice Problems in the
Health Sector
• Certainly notice gaps and asymmetries await in the heartiness
sector. They are peradventure past weighty for heartiness foresight than for
other amiables that are leading in affable budgets.
• However, one should not protest that notice gaps preclude
the possibility of having a haughty measure of rivalry. In
particular, mechanisms to communicate after a while notice gaps should not
be obsolete. These mechanisms grasp licensure,
certification, accreditation, denunciation of malpractice suits, the
physician-patient relation, ethical constraints, and the
presence of certified consumers.
Asymmetric Notice in the Used-Car
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