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Assessing consumer gains from a drug price control policy in the United States.


We use national data from 1960 to 2000 to estimate the demand for pharmaceuticals in the United States United States, officially United States of America, republic (2005 est. pop. 295,734,000), 3,539,227 sq mi (9,166,598 sq km), North America. The United States is the world's third largest country in population and the fourth largest country in area. . We then simulate simulate - simulation  consumer surplus gains from a hypothetical Hypothetical is an adjective, meaning of or pertaining to a hypothesis. See:
  • Hypothesis
  • Hypothetical
  • Hypothetical (album)
 drug price control policy that would have limited drug price increases to the rate of inflation from 1981 to 2000. Using a range of values for the real interest rate, coinsurance A provision of an insurance policy that provides that the insurance company and the insured will apportion between them any loss covered by the policy according to a fixed percentage of the value for which the property, or the person, is insured.  rate, and own-price elasticity of demand Elasticity of demand

The degree of buyers' responsiveness to price changes. Elasticity is measured as the percent change in quantity divided by the percent change in price. A large value (greater than 1) of elasticity indicates sensitivity of demand to price, e.g.
, we find that the consumer surplus gains from this policy equal $472 billion by the end of 2000. According to according to
prep.
1. As stated or indicated by; on the authority of: according to historians.

2. In keeping with: according to instructions.

3.
 a recent study, that same policy would have led to 198 fewer new drugs being brought to the U.S. market. Therefore, the average social opportunity cost per drug developed during this period was approximately $2.4 billion. Research on the value of pharmaceuticals suggests that the social benefits of a new drug are far greater than this estimate. Hence, drug price controls could do more harm than good.

JEL Classification: D12, I11, I18, K2, L5

1. Introduction

The on-going public debate over prescription drug prescription drug Prescription medication Pharmacology An FDA-approved drug which must, by federal law or regulation, be dispensed only pursuant to a prescription–eg, finished dose form and active ingredients subject to the provisos of the Federal Food, Drug,  prices represents one of the most contentious issues in the history of U.S. health care politics. The commonly held perception that U.S. drug prices are "too high" has been fueled by the fact that real drug prices in the United States have been rising steadily and at a rate faster than that of the general consumer price index for over two decades. As a result, the pharmaceutical industry has come under intense criticism, with both politicians and special interest groups calling for new legislation making pharmaceuticals more affordable, either through legalized reimportation re·im·port  
tr.v. re·im·port·ed, re·im·port·ing, re·im·ports
To bring back into a country (goods made from its exported raw materials).



re·im
 from price-regulated markets such as Canada and the European Union European Union (EU), name given since the ratification (Nov., 1993) of the Treaty of European Union, or Maastricht Treaty, to the

European Community
, or more directly through government-imposed price controls.

Although these calls for legislative action are not new, the United States does appear to be, for the first time, very close to a major policy change regarding U.S. drug prices. (1) The U.S. government might, like all other industrialized in·dus·tri·al·ize  
v. in·dus·tri·al·ized, in·dus·tri·al·iz·ing, in·dus·tri·al·iz·es

v.tr.
1. To develop industry in (a country or society, for example).

2.
 governments around the world, soon begin regulating drug prices. (2) In addition to several reimportation bills currently on the Senate floor, proposed amendments to the recently passed Medicare Modernization modernization

Transformation of a society from a rural and agrarian condition to a secular, urban, and industrial one. It is closely linked with industrialization. As societies modernize, the individual becomes increasingly important, gradually replacing the family,
 Act of 2003 (MMA (Microcomputer Managers Association, Inc.) A membership organization with chapters throughout the U.S. that was devoted to educating personnel responsible for personal computers. It disbanded in 1996.

Mma - A fast Mathematica-like system, in Allegro CL by R. Fateman, 1991.
) also exist that will allow the U.S. government to negotiate directly with drug manufacturers for Medicare prescription drug purchases (the MMA currently has a noninterference clause), which will amount to approximately 60% of all U.S. drug purchases (Santerre, Vernon, and Giaccotto 2006).

Although regulated drug prices in the United States will undoubtedly improve the public's access to today's medicines, and thus generate both cost savings and improved public health, it will simultaneously reduce firms' incentives to invest in pharmaceutical research and development (R&D) because of lower levels of pharmaceutical profitability. Less investment in pharmaceutical R&D will have a negative effect on the rate of future pharmaceutical innovation. Recent research has documented the considerable benefits of pharmaceutical innovation in terms of improved longevity longevity (lŏnjĕv`ĭtē), term denoting the length or duration of the life of an animal or plant, often used to indicate an unusually long life.  (Lichtenberg 2002; Miller and Frech 2002), as well as the sensitivity of R&D investment to real pharmaceutical prices (Giaccotto, Santerre, and Vernon 2005) and profits (Vernon 2004). Thus, in addition to the short-run benefits associated with lower regulated drug prices, long-run costs also arise. This is precisely the tradeoff the U.S. patent system tries to balance by awarding limited-term patents to new drug products.

Even though a policy of regulated drug prices in the United States involves a tradeoff between short-run benefits and long-run costs, the former outcome often receives more attention in policy debates (Scherer 2004). Interestingly, however, efforts to quantify Quantify - A performance analysis tool from Pure Software.  these short-run benefits from a rigorous economic perspective are nonexistent non·ex·is·tence  
n.
1. The condition of not existing.

2. Something that does not exist.



non
. Therefore, in this article, we attempt to do just that. We also compare our findings with the results from an earlier study by Giaccotto, Santerre, and Vernon (2005)--one that employed the same data and modeling techniques but that measured the economic costs of the same U.S. price control policy--in terms of reduced levels of pharmaceutical innovation. Thus, we are able to weigh the benefits of pharmaceutical price controls (in terms of consumer surplus gains) against the costs (measured in terms of forgone drug discoveries). Although these studies are retrospective in nature (out of necessity), and consider only one type of U.S. price control policy (one that requires pharmaceutical prices grow no faster than the consumer price index), the price control policy simulated is, nevertheless, similar to an actual policy enacted in 1992 for drugs purchased by the government for the Veterans Administration (VA) health system. Moreover, and for the first time, a formal cost-benefit analysis cost-benefit analysis

In governmental planning and budgeting, the attempt to measure the social benefits of a proposed project in monetary terms and compare them with its costs.
 of a particular type of drug price control is possible, and this could offer new insights.

Our paper proceeds as follows. In section 2 we construct an empirical model of the aggregate consumer demand for pharmaceuticals in the United States. We also outline our empirical strategy and describe the data. Section 3 reports and discusses our empirical estimates. In section 4 we simulate the consumer surplus gains from a hypothetical price control policy in the United States: one that limits the growth rate of pharmaceutical prices to that of the consumer price index from 1981 to 2000. We then assess the net benefit of this policy by comparing the gains of consumer surplus to some fairly plausible estimates of the value of the R&D (and drugs) that would be lost had the policy been enacted. Section 5 provides a summary and offers some conclusions.

2. Conceptual and Empirical Models of the Aggregate Consumer Demand for Pharmaceutical Products

We begin by assuming a one-period model in which a representative consumer, given her exogenous Exogenous

Describes facts outside the control of the firm. Converse of endogenous.
 tastes and preferences, t, derives utility from consuming the units of "health services health services Managed care The benefits covered under a health contract ," s, that flow from her health capital, h, and some composite good In economics, demand for a good is often the focus as to a change in its price. A composite good is an abstraction used in economics that represents all consumption goods besides the one in question. , x. Stated mathematically:

U = U(s, x;t). (1)

We also make the following standard assumptions about the individual's utility function:

[MATHEMATICAL EXPRESSION A group of characters or symbols representing a quantity or an operation. See arithmetic expression.  NOT REPRODUCIBLE IN ASCII ASCII or American Standard Code for Information Interchange, a set of codes used to represent letters, numbers, a few symbols, and control characters. Originally designed for teletype operations, it has found wide application in computers. .]

That is, utility is assumed to increase at a decreasing rate with respect to both health services and the composite good. We further assume that health services are produced with various combinations of prescription drugs, q (e.g., dosages), and medical services, m (such as office visits or inpatient inpatient /in·pa·tient/ (in´pa-shent) a patient who comes to a hospital or other health care facility for diagnosis or treatment that requires an overnight stay.

in·pa·tient
n.
 days), conditioned on the representative consumer's initial endowment of health capital, [h.sub.0]. Thus, for ease of exposition, we ignore a set of other health care "goods" and "bads" such as exercise, diet, alcohol and tobacco use, etc., and the consumer's time involved in producing these health care activities. (3) A production function for units of health services can thus be written as

s = s(q, m; [h.sub.0]), (2)

where s is assumed to be concave Concave

Property that a curve is below a straight line connecting two end points. If the curve falls above the straight line, it is called convex.
 with respect to both q and m.

Substituting Equation 2 into Equation 1 allows utility to be expressed in terms of the production function for health services and the composite good. It is assumed that expenditures on the two inputs that produce health services, and spending on the composite good, fully exhaust the consumer's income net of insurance premiums, y. The consumer's optimization problem In computer science, an optimization problem is the problem of finding the best solution from all feasible solutions. More formally, an optimization problem is a quadruple  is, therefore, to select the amounts of prescription drugs and medical services and the composite good that maximize her utility subject to the constraints CONSTRAINTS - A language for solving constraints using value inference.

["CONSTRAINTS: A Language for Expressing Almost-Hierarchical Descriptions", G.J. Sussman et al, Artif Intell 14(1):1-39 (Aug 1980)].
 of net income and the out-of-pocket prices for drugs, [P.sub.O]; medical services, [P.sub.M]; and the composite good, [P.sub.X]. Stated more formally, (4)

Maximize U = U[s(q,m;[h.sub.0]),x;t] s.t. q[P.sub.O] + m[P.sub.M] + x[P.sub.X] = y.

Use of the method of Lagrange multipliers In mathematical optimization problems, Lagrange multipliers, named after Joseph Louis Lagrange, is a method for finding the extrema of a function of several variables subject to one or more constraints: it is the basic tool in nonlinear constrained optimization.  to find the solution to this constrained con·strain  
tr.v. con·strained, con·strain·ing, con·strains
1. To compel by physical, moral, or circumstantial force; oblige: felt constrained to object. See Synonyms at force.

2.
 optimization problem generates the familiar first-order conditions. Using the first-order conditions, we can solve for the marginal rate of substitution In economics, the marginal rate of substitution (MRS) is the least-favorable rate at which an agent is willing to exchange units of one good or service for units of another.  between drugs and the composite good:

[[[differential]U]/[[differential]s]] x [[[differential]s]/[[differential]q]] [[[[differential]U]/[[differential]x]].sup.-1] = [P.sub.O]/[P.sub.X] (3)

The first partial derivative partial derivative

In differential calculus, the derivative of a function of several variables with respect to change in just one of its variables. Partial derivatives are useful in analyzing surfaces for maximum and minimum points and give rise to partial differential
 in the leftmost left·most  
adj.
Farthest to the left: in the leftmost lane of traffic.

Adj. 1. leftmost - farthest to the left; "the leftmost non-zero digit"
 bracket In programming, brackets (the [ and ] characters) are used to enclose numbers and subscripts. For example, in the C statement int menustart [4] = ; the [4] indicates the number of elements in the array, and the contents are enclosed in curly braces.  captures the marginal utility marginal utility

In economics, the additional satisfaction or benefit (utility) that a consumer derives from buying an additional unit of a commodity or service. The law of diminishing utility implies that utility or benefit is inversely related to the number of units
 of good health, whereas the second reflects the marginal productivity of drugs on good health. Equation 3 implies that, in equilibrium, the representative consumer equates the marginal benefit of the last drug consumed with its marginal cost Marginal cost

The increase or decrease in a firm's total cost of production as a result of changing production by one unit.


marginal cost

The additional cost needed to produce or purchase one more unit of a good or service.
, as reflected by the relative out-of-pocket price of an additional drug.

For purposes later in the article, it is important to consider here that the marginal benefit of an additional drug dosage dosage /dos·age/ (do´saj) the determination and regulation of the size, frequency, and number of doses.

dos·age
n.
1. Administration of a therapeutic agent in prescribed amounts.
 is influenced by both the value that the consumer places on being in a state of good health and the marginal product In economics, the marginal product or marginal physical product is the extra output produced by one more unit of an input (for instance, the difference in output when a firm's labour is increased from five to six units).  of an additional drug on good health. As a result, the price paid for an additional drug in the marketplace captures the consumer's willingness to pay Willingness to pay (WTP) generally refers to the value of a good to a person as what they are willing to pay, sacrifice or exchange for it. See also
  • Becker-DeGroot-Marschak method
 for a small reduction in the probability of dying, a marginal improvement in her quality of life, or both. This notion becomes particularly important when we use the demand curve to estimate the consumer surplus from a drug price control regime. That is, consumer surplus captures the value of life and the marginal contribution of an additional drug to good health.

Defining x as the numeraire, it also follows from the utility maximization process that the representative consumer's quantity demanded of prescription drugs can be derived as a function of the relative out-of-pocket drug price, relative out-of-pocket medical price, and her real net income. Expressed generally, the demand function takes the form in Equation 4.

q = q([P.sub.O]/[P.sub.X], [P.sub.M]/[P.sub.X], Y/[P.sub.X]; t, [h.sub.0]). (4)

Horizontally aggregating across all consumers, and assuming that the aggregate consumer demand for prescription drugs can be written in log-log form for estimation estimation

In mathematics, use of a function or formula to derive a solution or make a prediction. Unlike approximation, it has precise connotations. In statistics, for example, it connotes the careful selection and testing of a function called an estimator.
 purposes, the result shown in Equation 5 can be obtained.

ln(Q) = [[beta].sub.0] + [[beta].sub.1] ln ([P.sub.O]/[P.sub.X]) + [[beta].sub.2] ln ([P.sub.M]/[P.sub.X]) + [[beta].sub.3] ln (Y/[P.sub.X]) (5)

Given the log-log form, the coefficients in Equation 5 can be interpreted as elasticities. According to the law of demand, the quantity demanded of prescription drugs should be inversely in·verse  
adj.
1. Reversed in order, nature, or effect.

2. Mathematics Of or relating to an inverse or an inverse function.

3. Archaic Turned upside down; inverted.

n.
1.
 related to its relative out-of pocket market price ([[beta].sub.1] < 0). The relationship between the quantity demanded of prescription drugs and the relative out-of-pocket price for medical services depends on whether pharmaceuticals and medical services are substitutes ([[beta].sub.2] > 0) or complements ([[beta].sub.2] < 0). Finally, if prescription drugs can be classified a normal good, real income will have a direct effect on the quantity demanded of prescription drugs ([[beta].sub.3] > 0). Obviously, an inverse relation In mathematics, the inverse relation of a binary relation is the relation taken 'backwards', as in changing the relation 'child of' to 'parent of'. In formal terms, if

 holds if prescription drugs are inferior goods In consumer theory, an inferior good is a good that increases in demand when the consumers income falls, unlike normal goods, for which the opposite is observed. Inferiority, in this sense, is an observable fact rather than a statement about the quality of the good. .

Because we are interested in calculating the area under this demand curve for pharmaceutical products to measure the consumer surplus from a drug price control policy, the parameters of Equation 5 are now estimated with multiple regression Multiple regression

The estimated relationship between a dependent variable and more than one explanatory variable.
 analysis. The empirical analysis is conducted at the macro level by the use of expenditure data from the health accounts at the Centers for Medicare and Medicaid Services The Centers for Medicare and Medicaid Services (CMS), previously known as the Health Care Financing Administration (HCFA), is a federal agency within the United States Department of Health and Human Services (DHHS) that administers the Medicare program and  (CMS (1) See content management system and color management system.

(2) (Conversational Monitor System) Software that provides interactive communications for IBM's VM operating system.
), price data from the Bureau of Labor Statisics (BLS See Bureau of Labor Statistics. ), and income data from the Bureau of Economic Analysis (BEA BEA - Basic programming Environment for interactive-graphical Applications, from Siemens-Nixdorf. ) over the period from 1960 to 2000.

In the regression equation Regression equation

An equation that describes the average relationship between a dependent variable and a set of explanatory variables.
, real drug expenditures per capita [Latin, By the heads or polls.] A term used in the Descent and Distribution of the estate of one who dies without a will. It means to share and share alike according to the number of individuals.  serves as our measure of the quantity of drugs consumed, Q, the dependent variable in Equation 5. Real pharmaceutical expenses per capita are calculated by dividing nominal drug expenditures by the pharmaceutical consumer price index and by population. Data for nominal pharmaceutical expenditures are obtained from the CMS. It should be noted that pharmaceutical expenditures capture purchases of both existing and new drugs, but a demand curve assumes a standardized product A product that conforms to specifications resulting from the same or equivalent technical requirements. NATO standardized products are identified by a NATO code number. . Technical change over time obviously changes the mix of old and new drugs and thus might present a problem when estimating long-run elasticities. However, variables are first differenced in our multiple regression models. Thus, we are estimating short-run elasticities, and technical change therefore presents less of a problem.

The (nominal) out-of-pocket price of drugs is calculated as

[P.sub.o] = cP, (6)

such that the out-of-pocket price is determined by multiplying the average consumer coinsurance rate, c, by the price of pharmaceuticals, P. The expression in Equation 6 is then divided by the price of the composite good, [P.sub.X], to derive the real out-of-pocket price of drugs. For empirical purposes, the average consumer coinsurance rate is measured by dividing all consumer out-of-pocket payments by total pharmaceutical expenditures. But theoretically, c should include just coinsurance payments because only coinsurance possesses a substitution effect. Unfortunately, separate data for various types of consumer payments are unavailable at CMS. Therefore, deductibles, copayments, and coinsurance payments must all be lumped together and treated similarly. Because of this data limitation, in the empirical analysis, we allow c to interact with the price term as specified in Equation 6 but also allow for our measure of c to have its own separate effect on the consumption of drugs in a slightly alternative specification of Equation 5.

The consumer price index (CPI (1) (Characters Per Inch) The measurement of the density of characters per inch on tape or paper. A printer's CPI button switches character pitch.

(2) (Counts Per I
) and its components, as calculated by BLS, provide our aggregate measures of pharmaceutical price, P, medical price, [P.sub.M], and price of the composite good, [P.sub.X]. As noted by several researchers, consumer price indices are not measured without error because substitution effects and quality changes over time are not fully incorporated (e.g., Hausman 2003). Several authors have also pointed out the biases that previously existed in pharmaceutical price indices because of (i) the undersampling of new drugs, (ii) the failure to treat generic drugs generic drug, a drug sold or prescribed under the nonproprietary name of its active ingredients or under a generally descriptive name rather than under a brand or trade name.  as lower priced substitutes for branded drugs rather than new drugs, and (iii) the use of list instead of transaction prices (Berndt, Griliches, and Rosett 1993).

Nevertheless, the pharmaceutical price index represents the best available time series indicator of drug price swings in the United States Moreover, because we are examining changes in the ratio of the pharmaceutical and general CPI measures over time, some of the substitution and quality bias in the numerator numerator

the upper part of a fraction.


numerator relationship
see additive genetic relationship.


numerator Epidemiology The upper part of a fraction
 and denominator denominator

the bottom line of a fraction; the base population on which population rates such as birth and death rates are calculated.

denominator 
 might tend to cancel out Verb 1. cancel out - wipe out the effect of something; "The new tax effectively cancels out my raise"; "The `A' will cancel out the `C' on your record"
wipe out
. In addition, average year-to-year parameter estimates are obtained in the multiple regression analysis. These short-run estimates could avoid some of this bias because sufficient time does not pass for substitution effects and quality changes to fully work themselves out. It should be kept in mind, however, that any remaining measurement error biases the parameter estimates toward zero if the rest of the model is properly specified.

The real out-of-pocket price of medical care is obtained by multiplying the ratio of the medical care CPI and the general price index by the percentage of medical care expenditures that were out-of-pocket expenses out-of-pocket expenses n. moneys paid directly for necessary items by a contractor, trustee, executor, administrator or any person responsible to cover expenses not detailed by agreement. . Real net income per capita, Y, is measured by real GDP Real GDP

This inflation-adjusted measure that reflects the value of all goods and services produced in a given year, expressed in base-year prices. Often referred to as "constant-price", "inflation-corrected" GDP or "constant dollar GDP".
 per capita less real aggregate health insurance premiums per capita. Real GDP per capita data are obtained at BEA. Aggregate premium data are collected from the national health accounts at CMS, divided by population and the CPI to arrive at real aggregate health insurance premiums per capita. Descriptive statistics descriptive statistics

see statistics.
 and sources for the various variables can be found in Appendix A.

Before presenting the multiple regression results, it might be instructive in·struc·tive  
adj.
Conveying knowledge or information; enlightening.



in·structive·ly adv.
 to discuss how real pharmaceutical expenditures per capita and the pharmaceutical out-of-pocket price and its components changed over time during the sample period. This information is provided in Exhibit 1. Notice that real drug expenditures per capita increased rapidly from 1960 to 1975, continued to increase but at a diminishing rate from 1976 to 1994, and then began increasing at an increasing rate once again from 1995 to 2000. These changes over time could reflect the law of demand given that out-of-pocket real prescription drug prices inversely mirrored these movements in per capita real drug expenditures during this time period. For instance, the out-of-pocket real price of drugs declined rapidly from 1960 to 1975 and from 1993 to 2000, the two time periods when real drug expenditures per capita were rising quickly. Attention should also be drawn to the fact that most of the changes in real drug expenditures have been driven more by adjustments in real drug prices than the consumer out-of-pocket share given that the consumer out-of-pocket share continued to decline throughout the period.

[GRAPHIC OMITTED]

3. Empirical Results

A high degree of serial correlation serial correlation

The relationship that one event has to a series of past events. In technical analysis, serial correlation is used to test whether various chart formations are useful in projecting a security's future price movements.
 necessitated first differencing of the data (after taking logarithms). First differencing of the data seems particularly appropriate because diagnostic tests revealed the presence of unit roots in several of the time series data (i.e., real drug spending per capita and real GDP per capita) before they were first differenced. Unit roots can result in spurious correlations Noun 1. spurious correlation - a correlation between two variables (e.g., between the number of electric motors in the home and grades at school) that does not result from any direct relation between them (buying electric motors will not raise grades) but from their  among variables. We also included in our empirical model a lagged measure of real drug expenditures per capita as an additional independent variable (after first differencing). The lagged measure was included to control for unobserved demand factors like tastes and preferences, T, and the initial endowment of health, [H.sub.0], as specified in Equation 4.

Both ordinary (OLS OLS Ordinary Least Squares
OLS Online Library System
OLS Ottawa Linux Symposium
OLS Operation Lifeline Sudan
OLS Operational Linescan System
OLS Online Service
OLS Organizational Leadership and Supervision
OLS On Line Support
OLS Online System
) and two-stage least squares (2SLS (Selective Laser Sintering) See laser sintering and 3D printing. ) estimates of the parameters are obtained by the empirical analysis. The real long-term corporate AAA AAA: see American Automobile Association.


(Triple A) A common single-cell battery used in a myriad of electronic devices of all variety. Like its double A (AA) cousin, it provides 1.5 volts of DC power. When used in series, the voltage is multiplied.
 bond rate for all private industries and a one-year lagged pharmaceutical price index serve as instruments in the 2SLS procedure. Specification of the real interest rate as a supply-side instrument is based on the notion that pharmaceutical companies tend to hold a sizeable stock of physical, R&D/intellectual, and promotional capital. Over the long run, pharmaceutical companies most likely attempt to earn sufficient revenues to cover the opportunity cost of holding these capital items through a series of short-run adjustments in drug prices. It stands to reason, therefore, that changes in real interest rates alter the opportunity cost of holding capital in the long run and lead to corresponding adjustments in short-run prices. (5) Note that this real interest rate is determined in the aggregate market for corporate loanable funds and outside the exclusive control of the pharmaceutical industry. It, therefore, can be treated as being exogenously determined.

As previously mentioned, two different OLS and 2SLS specifications are estimated and reported. The restricted specification treats the out-of-pocket price, cP, as an interactive term, such that the coinsurance rate and pharmaceutical price share a similar elasticity. The unrestricted specification allows each component of the out-of-pocket price to separately enter the estimation equations so their elasticities can differ. Recall that our measure of c, the coinsurance rate, can include copayments and deductibles, which theoretically possess income but not substitution effects. In addition, there is no theoretical reason to suspect that consumer response to changes in the coinsurance rate will be the same as that resulting from similar percent changes in pharmaceutical prices.

The four regression results are reported in Exhibit 2. (6,7) We note that, for a first-difference model, a sizeable amount of the variation in the dependent variable is explained by the variables on the fight-hand side. As anticipated, all estimates of own-price elasticity of demand are negative and statistically significant. As one might expect, the 2SLS procedure produces lower price elasticity estimates than the OLS technique. In addition, it appears that consumers do not respond dramatically differently to changes in the coinsurance rate than to similar percent changes in drug prices given that the estimated coefficients on c and P are not statistically different from one another. Our short-run, own-price elasticity estimates, ranging from -0.333 to -0.489, are very close to Coulson and Stuart's (1995) longer run estimate of -0.34 and also fall within previous estimates ranging from -0.06 to -0.64, as noted by these same authors. Earlier research focused on the demand for pharmaceuticals by elderly individuals. Our own-price elasticity is most likely slightly higher because it captures the demand of the representative consumer, rather than the representative elderly individual. Because of their relatively more depreciated Depreciated may refer to:
  • Depreciation, in finance, a reference to the fact that assets with finite lives lose value over time
  • Depreciated is often confused or used as a stand-in for "deprecated"; see deprecation for the use of depreciation in computer software
 health capital, elderly individuals are likely to face fewer health-related choices than the general population and, thus, might possess less price-elastic demands for pharmaceuticals. However, it should be noted that our long-run price elasticity estimates are higher than those reported by Coulson and Stuart (1995) and range from-0.68 to-0.92. (8) These estimates still lie within the inelastic inelastic

Of or relating to the demand for a good or service when quantity purchased varies little in response to price changes in the good or service.
 range as reported by prior research and probably reflect the relatively long adjustment period of 40 years.

The positive and statistically significant cross-price elasticity estimates suggest that medical care and prescription drugs are substitute products. For example, our results indicate that a 10% increase in the price of medical care is associated with a 4.5% to 5.6% increase in the quantity of prescription drugs demanded. The direct relation between the price of medical care and the quantity of prescription drugs demanded suggests that decision-makers have some ability to substitute one good for the other in the production of good health when relative prices change. This finding is consistent with Lichtenberg's (1996, 2000) research, which found that increased expenditures on pharmaceuticals lead to reduced expenditures on hospitalizations, ambulatory care ambulatory care
n.
Medical care provided to outpatients.


ambulatory care,
n the health services provided on an outpatient basis to those who can visit a health care facility and return home the same day.
, and physician services.

Net income elasticity estimates are positive and statistically significant, indicating that pharmaceutical products can, collectively, be treated as normal goods. The income elasticities are fairly sizable siz·a·ble also size·a·ble  
adj.
Of considerable size; fairly large.



siza·ble·ness n.
 and suggest that a 10% increase in real income per capita produces a 5% increase in the quantity of drugs demanded. Studies tend to suggest that health care represents a normal good (Santerre and Neun 2004).

Although predominately influenced by private demand because public health insurance for pharmaceuticals was largely absent on an outpatient basis during the sample period, public financing could also influence total real drug expenditures per capita, the dependent variable in Equation 5. During the time period under investigation, the government paid for drugs administered to inpatients if they were covered by one of the various public health insurance programs. The government also paid for prescription drugs for outpatient care under the Veterans Administration and Medicaid programs. Reimbursement Reimbursement

Payment made to someone for out-of-pocket expenses has incurred.
 for pharmaceuticals is fairly restrictive under the latter two programs, but the programs do provide some of the population with financial access to pharmaceuticals. In any case, we considered it might be important to include in the multiple regression equation a control variable for the percentage of pharmaceutical expenditures paid by government. The government's share of spending on pharmaceuticals ranged from a little under 3% in 1960 to slightly under 22% in 2000. However, inclusion of this additional independent variable (after taking first differences in logarithms) did not significantly alter the results shown in Exhibit 2. In addition, the coefficient coefficient /co·ef·fi·cient/ (ko?ah-fish´int)
1. an expression of the change or effect produced by variation in certain factors, or of the ratio between two different quantities.

2.
 estimate on the public financing variable proved to be highly statistically insignificant. Public financing might have had no independent effect on pharmaceutical consumption because of its relatively low percentage over time, at least until very recently, or because this public financing variable captures a host of widely diverse government reimbursement schemes.

4. Simulating Consumer Gains from a Drug Price Control Regime

We now use the multiple regression results in Exhibit 2 to estimate the future value of the consumer surplus gains from a drug price control policy that holds drug price increases to the same rate of growth as the general price level over the period from the beginning of 1981 through the end of 2000. To measure the consumer surplus gains for each year, we estimate the area under the demand curve between the market and controlled prices.

We chose the years between 1981 and 2000 to conduct the experiment because real drug prices increased throughout that period, as depicted de·pict  
tr.v. de·pict·ed, de·pict·ing, de·picts
1. To represent in a picture or sculpture.

2. To represent in words; describe. See Synonyms at represent.
 in Exhibit 1. Moreover, in a recent study, Giaccotto, Santerre, and Vernon (2005) used that same period to estimate the number of new drugs that would have been lost from a similar drug price control regime. These authors assumed Congress enacted a law in 1980 requiring pharmaceutical prices in the United States to grow no faster than the general price level. This approach mirrors one of the actual mandates in the Veteran's Health Care Act of 1992: namely, that drug prices paid by federal agencies cannot grow at a rate faster than the urban CPI. Thus, although our experiment is couched within a hypothetical and historical context, it will, nevertheless, reflect an actual approach employed by the Federal government to control pharmaceutical prices (albeit on a relatively small scale). By combining the results from these two studies, some insight can be gained into the net consumer benefits arising from a drug price control system that holds the rate of growth of drug prices to the same rate of growth as the overall CPI.

Retrieving the elasticities from the multiple regression results shown in column 3 in Exhibit 2, we can express an aggregate consumer constant elasticity of demand curve for drugs in the form

Q = A[([P.sub.O]/[P.sub.X]).sup.-0.370] [([P.sub.M]/[P.sub.X]).sup.0.459] [(Y/[P.sub.X]).sup.0.519] [Q.sup.0.517.sub.t-1],

or more simply, we can write

Q = K[([P.sub.O]/[P.sub.X]).sup.-0.370]

and define

K = A[([P.sub.M]/[P.sub.X]).sup.0.459][(Y/[P.sub.X]).sup.0.519] [Q.sup.0.517.sub.t-1].

It follows that K, the amount of drug consumption that results from all factors other than the real out-of-pocket price, can be determined by dividing Q, real pharmaceutical expenditures per capita, by ([P.sub.O]/ [P.sub.X]).sup.-0.370] for each year between 1981 and 2000. Using standard integration techniques, we estimate the area under the demand curve between the actual drug price index and the drug price index that would have resulted from a policy that held the rate of growth in pharmaceutical prices to that of the general CPI. For the purposes of our simulation, the price control policy holds the ratio of the market price of pharmaceutical goods to all other goods at the same level observed in 1980.

Economic theory suggests that welfare gains should be measured off the consumers' marginal benefit curve (notional no·tion·al  
adj.
1. Of, containing, or being a notion; mental or imaginary.

2. Speculative or theoretical.

3.
 demand) and not the effective demand curve, which depends on the generosity of health insurance. Coinsurance provisions rotate the effective demand curve. Hence, it is imperative that c, the coinsurance rate, is held constant to estimate the marginal benefit curve and not some combination of the marginal benefit curve and effective demand curve. (9) As a result, we perform simulations that hold c at three different values throughout the period. More specifically, we set c equal to 1 such that the consumer is uninsured and set c equal to 0.67 and 0.45, the optimal values for the coinsurance rate that were estimated by Feldstein (1973) and Manning and Marquis (1996), respectively. For sensitivity purposes, we also experiment with several values for the own-price elasticity of demand and different values for the real return on savings (3%, 7%, and 10%) to compute To perform mathematical operations or general computer processing. For an explanation of "The 3 C's," or how the computer processes data, see computer.  the value of future consumer surplus gains. Own-price elasticity is assumed to be -0.370, as described above, and based on values that are one-half and twice that amount.

The results of the consumer surplus simulations are shown in Exhibit 3. Not surprisingly, the future value of consumer surplus gains increases with own-price elasticity of demand (because the price control generates greater quantity demanded), the coinsurance rate (because consumers personally have more to gain), and the real interest rate on savings. Exhibit 3 shows that the estimates of the future value of consumer surplus gains range from $176 to $767 billion for various values of the three key variables. This represents the range of savings that would have accrued ac·crue  
v. ac·crued, ac·cru·ing, ac·crues

v.intr.
1. To come to one as a gain, addition, or increment: interest accruing in my savings account.

2.
 to consumers at the end of the 20-year period if government had held the rate of growth of drug prices to the same rate of growth as the overall CPI. It also reflects the future value of annual improvements in health because of better financial access to existing drugs as a result of the price control. Thus, at first blush Adv. 1. at first blush - as a first impression; "at first blush the offer seemed attractive"
when first seen
, it appears that a drug price control of this type could have benefited consumers by a considerable amount in terms of the greater longevity and quality of lives that lower pharmaceutical prices could have purchased in the short run.

However, over this same time period, Giaccotto, Santerre, and Vernon (2005) estimated that this same price control regime would have caused firms to reduce pharmaceutical R&D expenditures (in $2000) by between $264.5 and $293.1 billion, because of lower profit expectations, and possibly reduced levels of internal funds internal funds

Funds that are raised within a firm. For example, income after taxes and noncash expenses, such as depreciation, provide a firm with funds to use in the acquisition of investments.
 (which are the primary source of R&D finance). (10) This reduced investment in R&D would have led to approximately 38% fewer new drugs being brought to market in the global economy. If this 38% figure is applied to the total number of new chemical entities approved for marketing during this period in the United States, we can use our simulation results to calculate the average social opportunity cost per new drug.

During the period from 1980 to 2000, 520 new chemical entities were approved for marketing in the United States. (11) This figure suggests that 198 drugs would have been "lost" if the assumed price control regime were imposed. Dividing the $176 to $767 billion of consumer surplus gains from price controls over the period from 1980 to 2000 by the number of new drugs lost to price controls, we estimate that consumers (in the aggregate) gave up $0.9 to $3.9 billion in consumer surplus per new drug developed or $2.4 billion per drug, on average. Moreover, assuming the most likely values for the real interest rate (3%), the coinsurance rate (45%), and the price elasticity of demand Price Elasticity of Demand

A measure of the responsiveness of the quantity demanded of a good to a change in its price. It is calculated as:
 (-0.37), consumers would have lost about $1.1 billion of surplus per new drug developed.

This raises the question of whether or not the benefit of a new drug brought to market during this period was greater than or less than this range of estimates. If the former is the case, then the lack of price controls (imposed in the manner we describe and model) was, on net, good for the United States. If, however, the latter is the case, then not imposing price controls had a net social cost for Americans. Although recent research has documented the significant benefits associated with medical and pharmaceutical research, and even suggested that the United States might be currently underinvesting in R&D (Murphy and Topel 2003), very few studies have documented the value (in dollar terms) of new drugs or pharmaceutical R&D. A notable exception is the econometric e·con·o·met·rics  
n. (used with a sing. verb)
Application of mathematical and statistical techniques to economics in the study of problems, the analysis of data, and the development and testing of theories and models.
 study by Lichtenberg (2002). In his study, which covered a similar time period in the United States (1960-1997), Lichtenberg approximated that, on average, every $1345 spent on pharmaceutical R&D "produced" an additional U.S. life year.

Although speculative, we can use this average productivity measure of R&D to compare the benefits of price controls (as modeled in this study) and the costs in terms of lost R&D and drugs. (12) To do this, we divide Giaccotto, Santerre, and Vernons's (2005) estimated range of forgone capitalized pharmaceutical R&D ($264.5-$293.1 billion) by $1345 and multiply mul·ti·ply
v.
1. To increase the amount, number, or degree of.

2. To breed or propagate.
 this by $100,000, which is one measure of the value of a U.S. life year (Cutler and McClellan 2001). Of course, both higher and lower estimates of the value of a life year exist. This simple first approximation approximation /ap·prox·i·ma·tion/ (ah-prok?si-ma´shun)
1. the act or process of bringing into proximity or apposition.

2. a numerical value of limited accuracy.
 places the cost of our hypothetical price control policy at between $19.7 and $21.8 trillion in terms of value of lives lost or at $23 billion worth of lives lost per new drug. This range of figures is over 28 times larger than our estimated range for the consumer surplus gains produced by this drug price control policy ($176-$767 billion). This leads to the conclusion that a price control regime of the type described here would have done much more harm than good from a social welfare perspective.

One very important caveat should be mentioned at this point. Our analysis implicitly assumes a market environment in which drug firms either unilaterally u·ni·lat·er·al  
adj.
1. Of, on, relating to, involving, or affecting only one side: "a unilateral advantage in defense" New Republic.

2.
 or collectively are capable of exercising market power by restricting output and raising prices. On the basis of several structural characteristics (e.g., few dominant firms, brand names, patents, and the huge role of promotion expenditures) and the relatively high profitability of this industry, it might seem reasonable to assume that pharmaceutical companies truly possess some degree of market power. If drug firms do exercise market power, then theory suggests that a price control can lead to increased output supplied and greater consumer surplus, and our estimates of the welfare loss remain intact.

However, if drug firms in the aggregate behave competitively rather than exercise market power, our estimates of the consumer surplus gains from a drug price control regime will be overestimated because firms will react to the price control by reducing output below the competitive level. Indeed, one might argue that countervailing forces such as generic competition and managed care buyers induce a sufficient amount of competition into an otherwise structurally oligopolistic industry. It follows that drug price controls will impose an even greater net burden on society than that estimated in this paper if the aggregate pharmaceutical industry behaves reasonably competitively. Thus, our estimates of the potential damages from a drug price control policy, at least the type entertained here, might be conservative.

5. Conclusion

Rising drug prices have captured the attention of the media, various public interest groups, and politicians. Some have pointed to price controls as a way of reining Reining is a western riding competition for horses where the riders guide the horses through a precise pattern of circles, spins, and stops. All work is done at the lope (known more commonly worldwide as the canter) and gallop; the fastest of the horse gaits.  in what many perceive as "runaway" drug prices. But as economists have known for centuries, price controls simply represent "bad economics." Economic theory suggests that price controls often can create shortages, reduce quality, lead to price discrimination, and harm incentives for innovation. The only benefit to price controls is that some individuals gain, at the expense of others, through an increase in their consumer surplus as a result of the lower controlled prices.

In this article, we estimate the consumer surplus gains, or benefit, resulting from a hypothetical price control policy in the United States. To accomplish this objective, we use national data from 1960 to 2000 to estimate the aggregate demand for pharmaceuticals. On the basis of our empirical results, the demand for pharmaceuticals is shown to be inversely related to its own price and directly related to both medical prices and real income. Moreover, the empirical estimation generates elasticity estimates with plausible magnitudes that are in general agreement with previous research findings.

We then use the parameters from the estimated demand curve to simulate the consumer surplus gains associated with an assumed price control policy that holds the increase in pharmaceutical prices to the rate of growth of the general CPI. Giaccotto, Santerre, and Vernon (2005) have conducted this same experiment and found that this same price control regime would have reduced the number of new drug innovations by about 38%. For the nation as a whole, and using the most likely values, we estimate that the future value of the consumer surplus from the assumed price control regime would equal about $221 billion in 2000. On a per drug basis, we estimate that the consumer opportunity cost of not imposing this price control policy was approximately $1.1 billion. However, when compared with the estimated benefits of the additional pharmaceutical R&D that was undertaken because these hypothetical price controls were not implemented, these costs appear to be very small. Given our results, and those reported in earlier research, society might be better off discovering more efficient ways than price controls to improve access to existing drugs.
Appendix A
Variable Statistics and Data Sources (a)

Variable                                  Mean    Median   Maximum

Real pharmaceutical price index           0.726    0.734    1.013
Out-of-pocket real price of drugs         0.495    0.420    0.973
Out-of-pocket fraction of private
  pharmaceutical expenditures             0.686    0.694    0.960
Out-of-pocket real medical price index    0.315    0.271    0.552
Real GDP per capita less real premium
  per capita                             21.50    21.10    32.08
Per capita real private drug
  expenditures                            0.320    0.317    0.673
Real long-term corporate AAA bond
  rate, all private U.S. industries       3.59     3.85     8.83

Variable                                 Minimum    SD

Real pharmaceutical price index           0.489    0.155
Out-of-pocket real price of drugs         0.295    0.187
Out-of-pocket fraction of private
  pharmaceutical expenditures             0.320    0.187
Out-of-pocket real medical price index    0.167    0.122
Real GDP per capita less real premium
  per capita                             12.99     5.24
Per capita real private drug
  expenditures                            0.119    0.122
Real long-term corporate AAA bond
  rate, all private U.S. industries      -2.47     2.54

(a) All data except the corporate bond rate were obtained at the Bureau
of Labor Statistics (http://www.bls.gov), Centers for Medicare and
Medicaid Services (http://www.cms.gov), and the Bureau of Economic
Analysis (http://www.bea.gov). The corporate bond rate data were
obtained at the Board of Governors of the Federal Reserve System
(http://federalreserve.gov).

Appendix B
First-Stage Regression Results Used in 2SLS Model (a)

Explanatory Variable                              Coefficient Estimate

Log of out-of-pocket real price of medical care   0.230 ** (0.081)
  ([P.sub.M]/[P.sub.X])
Log of real GDP per capita (Y/[P.sub.X])          -0.196 * (0.095)
Log of one-year lagged measure of real               0.060 (0.061)
  pharmaceutical expenditures per capita
Log of out-of-pocket fraction of private             0.045 (0.079)
  pharmaceutical expenditures (c)
Log of one-year lagged out-of-pocket real         0.880 ** (0.064)
  pharmaceutical price index
Real long-term corporate AAA bond rate            0.008 ** (0.001)
Adjusted [R.sup.2]                                    0.919
Durbin Watson statistic                                1.98
Observations                                             39

(a) Standard errors are shown in parentheses.

* Denotes statistical significance at the 5% level.

** Denotes statistical significance at the 1% level or better.


The authors thank Dennis Heffley, Robert Hahn, John M. Vernon, Carmelo Giaccotto, and two anonymous referees for their extremely helpful comments on earlier versions of this paper.

Received October 2004; accepted December 2005.

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The managing body of the Federal Reserve System, which sets policies on bank practices and the money supply.
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A research agency of the U.S. Department of Labor; it compiles statistics on hours of work, average hourly earnings, employment and unemployment, consumer prices and many other variables.
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Coulson, N. Edward, and Bruce C. Stuart. 1995. Insurance choice and the demand for prescription drugs. Southern Economic Journal 61:1146-57.

Cutler, David, and Mark McClellan Mark Barr McClellan (born June 26, 1963) was sworn in as Administrator for the Centers for Medicare and Medicaid Services in the United States Department of Health and Human Services on March 25, 2004. . 2001. Is technological change in medicine worth it? Health Affairs Sept/Oct, pp. 11-29.

Feldstein, Martin S. 1973. The welfare loss of excess of health insurance. Journal of Political Economy 81:251-80.

Giaccotto, Carmelo, Rexford E. Santerre, and John A. Vernon. 2005. Drug prices and R&D investment behavior in the pharmaceutical industry. Journal of Law and Economics 48:195-214.

Hausman, Jerry. 2003. Sources of bias and solutions to bias in the consumer price index. Journal of Economic Perspectives 17(1):23-44.

Kanavos P., J. Costa-i-Font, S. Merkur, and M. Gemmill. 2004. The economic impact of pharmaceutical parallel trade in European Union member states A European Union member state is any one of the twenty-seven countries that have joined the European Union (EU) since its inception in 1958 as the European Economic Community (EEC). : A stakeholders Stakeholders

All parties that have an interest, financial or otherwise, in a firm-stockholders, creditors, bondholders, employees, customers, management, the community, and the government.
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New York, Middle Atlantic state of the United States. It is bordered by Vermont, Massachusetts, Connecticut, and the Atlantic Ocean (E), New Jersey and Pennsylvania (S), Lakes Erie and Ontario and the Canadian province of
: Kluwer Academic Publishers, pp. 317-44.

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The risk that a party to a transaction has not entered into the contract in good faith, has provided misleading information about its assets, liabilities or credit capacity, or has an incentive to take unusual risks in a desperate attempt to earn a profit before the
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(1) Approximately 10 years ago, the Clinton Administration's Health Security Act had provisions for directly controlling drag prices. In addition, the drug industry has been under the political microscope since the 1960s (Scherer 2004).

(2) There are numerous theoretical reasons why reimportation might not generate the desired prescription drug cost savings that the advocates of this and related policies expect (see, e.g., the paper by Kanavos et al. [2004]). If this occurs, direct price regulation will have to follow to procure To cause something to happen; to find and obtain something or someone.

Procure refers to commencing a proceeding; bringing about a result; persuading, inducing, or causing a person to do a particular act; obtaining possession or control over an item; or making a person
 the cost savings that such reimportation policies were intended to achieve.

(3) For instance, Miller and Frech (2002) examine empirically the effect of pharmaceuticals, medical care, and various lifestyle factors on measures of quality and quantity of life using a sample of OECD OECD: see Organization for Economic Cooperation and Development.  countries. Among other results, they find that pharmaceutical consumption extends and improves lives.

(4) For simplicity, it is assumed that the decision to purchase pharmaceutical and medical expense insurance coverage has already been made.

(5) First stage results can be found in Appendix B. Note that a sizeable proportion of the variation in drug prices is explained by the right hand side variables and that both instruments possess plausible signs and are statistically significant.

(6) Mathematically, the intercept intercept

in mathematical terms the points at which a curve cuts the two axes of a graph.
 term in Equation 7 falls out after first differencing of the variables. Statistically, an intercept term proved to be no different from zero.

(7) As noted in the text, a one-period lagged value of Q (in logs) was also included in the specification to control for changing tastes and preferences and initial endowment of health. Because a lagged value of the dependent variable is specified on the right-hand side right-hand side nderecha

right-hand side right nrechte Seite f

right-hand side nlato destro 
 of the equation, the typical Durbin Watson statistic statistic,
n a value or number that describes a series of quantitative observations or measures; a value calculated from a sample.


statistic

a numerical value calculated from a number of observations in order to summarize them.
 cannot be used to detect serial correlation. We remind the reader, however, that our specification contains first differences of the variables and not levels, so we report the Durbin Watson statistic. We also experimented with other diagnostic tests such as the Q statistic and Durbin's alternative test (Maddala 1992). These tests failed to detect the presence of serial correlation.

(8) Long-run price elasticity estimates can be derived by dividing the short-run elasticity by one minus the coefficient estimate on the lagged dependent variable.

(9) We thank the reviewers for emphasizing this point.

(10) The latter would be the case if capital market imperfections imparted a cost advantage to internal funds over external debt and equity (see Vernon 2005).

(11) U.S. Food and Drug Administration at http://www.FDA.gov.

(12) See the papers by Santerre, Vernon, and Giaccotto (2006) and Vernon (2004) for a discussion of the caveats involved.

Rexford E. Santerre * and John A. Vernon ([dagger])

* Department of Finance and Center for Healthcare and Insurance Studies, University of Connecticut School of Business The University of Connecticut (UConn) School of Business was founded in 1941 with the mission to create and disseminate knowledge that significantly influences and enriches the students, the community of business scholars and the global world of business practice. , 2100 Hillside Road, Unit 1041, Storrs, CT 06269-1041, USA; E-mail rsanterre@business.uconn.edu; corresponding author.

([dagger]) Department of Finance and Center for Healthcare and Insurance Studies, University of Connecticut School of Business and National Bureau of Economic Research (NBER NBER National Bureau of Economic Research (Cambridge, MA)
NBER Nittany and Bald Eagle Railroad Company
), 2100 Hillside Road, Unit 1041, Storrs, CT 06269-1041, USA; E-mail jvernon@business.uconn.edu.
Exhibit 2. OLS and 2SLS Regression Results (a)

                                                OLS Results

Explanatory Variable                       Restricted   Unrestricted

Log of out-of-pocket real price of         -0.476 **
  drugs [c([P.sub.O]/[P.sub.X])]           (0.131)
Log of out-of-pocket fraction (c)                        -0.489 **
                                                         (0.166)
Log of real price of drugs                               -0.468 **
  ([P.sub.O]/[P.sub.X])                                  (0.147)
Log of out-of-pocket real price of          0.557 **      0.555 **
  medical care ([P.sub.M]/[P.sub.X])       (0.186)       (0.189)
Log of real GDP per capita less premiums    0.502 **      0.496 **
  per capita ([Y.sub.N]/[P.sub.X])         (0.174)       (0.183)
Log of one-year lagged measure of real      0.469 **      0.468 **
  pharmaceutical expenditures per capita   (0.112)       (0.114)

Adjusted [R.sub.2]                          0.578         0.566
Durbin Watson statistic                     1.83          1.84
Observations                               39            39

                                                2SLS Results

Explanatory Variable                       Restricted   Unrestricted

Log of out-of-pocket real price of         -0.370 **
  drugs [c([P.sub.O]/[P.sub.X])]           (0.139)
Log of out-of-pocket fraction (c)                         -0.419 **
                                                          (0.171)
Log of real price of drugs                                -0.333 *
  ([P.sub.O]/[P.sub.X])                                   (0.159)
Log of out-of-pocket real price of          0.459 *        0.449 *
  medical care ([P.sub.M]/[P.sub.X])       (0.192)        (0.196)
Log of real GDP per capita less premiums    0.519 **       0.494 *
  per capita ([Y.sub.N]/[P.sub.X])         (0.175)        (0.185)
Log of one-year lagged measure of real      0.517 **       0.513 **
  pharmaceutical expenditures per capita   (0.115)        (0.117)

Adjusted [R.sub.2]                          0.571          0.556
Durbin Watson statistic                     1.99           2.00
Observations                               39             39

(a) Standard errors are shown in parentheses.

* Denotes statistical significance at the 5% level.

** Denotes statistical significance at the 1% level or better.

Exhibit 3. Future Value of the Consumer Surplus for Various
Rates of Return, Own-Price Elasticities ([E.sub.qp]), and
Coinsurance Rates (c)
                         Future Value (Billions of US$2000)

                      3% Interest   7% Interest   11% Interest

[E.sub.qp] = -0.370
  c = 0.45               $221          $291          $391
  c = 0.67                284           374           502
  c = 1.00                366           481           646
[E.sub.qp] = -0.185
  c = 0.45                176           232           310
  c = 0.67                244           320           429
  c = 1.00                338           443           594
[E.sub.qp] = -0.740
  c = 0.45                350           462           623
  c = 0.67                388           512           691
  c = 1.00                431           569           767
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