Tuition Growth and the Value of a College Degree Antony Davies, Ph.D.1 Research Fellow, Mercatus Center, Capitol Hill Campus Associate Professor of Economics Duquesne University Pittsburgh, PA 15282 [email protected] Thomas W. Cline, MBA, Ph.D. Associate Professor of Business and Economics Alex G. McKenna School of Business, Economics, and Government Saint Vincent College Latrobe, PA 15650 JEL Classifications: G12, I21, I22, I28 Keywords: Costs, Human Capital, Rate of Return, Student Financial Aid, State and Federal Aid, Economic Impact, Education 1 Corresponding author. Address correspondence to Economics Department, Duquesne University, 600 Forbes Avenue, Pittsburgh, PA 15282 Abstract Much dispute over the value of a college degree arises from the mistreatment of tuition as an expense rather than as an investment. Using tools typically employed in the evaluation of financial investments, this paper compares the cost of a college education to the expected return from holding a college degree. For each of the past twenty-seven years, we look at information available to 18-year-olds at the time that they would choose between entering the workforce and pursuing a college degree. We measure expected differences in earnings, earnings growth, unemployment, and labor participation to determine the ex ante expected value of holding a college degree. We find that, although tuition and fees have been growing at better than twice the rate of inflation, the expected monetary return from holding a college degree has been growing even faster. The result is that, for the median student, the expected value of a college degree, net of tuition and fees, has almost doubled in present value terms. 1. Introduction Numerous studies have found evidence of moderate to high returns to higher education. These studies agree in direction, if not magnitude, across countries. Among these are studies of earnings and education data from Norway (Alstadsæter, 2004), China (Heckman and Li, 2003), Taiwan (Chuang and Chao, 2001), Germany (Daly et al., 2000), Australia (Miller et al., 1995), Canada (Doiron and Riddell, 1994), the United Kingdom (Hough, 1994), and the United States (Cohn and Hughes, 1994).2 These and other studies employ one or more of three methodologies for assessing the value of education: (1) the so-called “short-cut” method, (2) the Mincer method, and (3) the internal rate of return method. The short-cut method gives the rate of return per year of education as r ln Em ln Em s s (1.1) where Em is the mean earnings for people with m years of education, and r is (approximately) the growth rate per year of education.3 The Mincer method (Mincer, 1974) employs a simple linear regression model wherein the log of wages is regressed on years of education, years of work experience, and other wage determinants.4 The value of the coefficient attached to years of education is taken as the rate of return per year of education (cf. Psacharopoulos, 1994). The internal rate of return method employs the traditional IRR function wherein the present discounted value of the earnings due to the education are set equal to the present discounted costs. The resulting discount rate is the internal rate of return. 2 See Cohn and Addison (1998) for a detailed summary of other studies. 3 Groot and Oosterbeck (1992) use formula (1.1). The exact measure is ln Em ln Em s 1 4 For details of econometric issues involving the Mincer approach, see Card (2001). 1/ s 1 . This paper expands on the previous literature by examining (1) differences in total compensation (i.e. wages plus benefits) versus wages alone, (2) differences in expected wage growth over an average worker’s career, and (3) differences in the probabilities of unemployment and labor force participation for high school versus college graduates, and by (4) calculating expected return in terms of breakeven, internal rate of return, and net present value measures, and (5) computing the relative risk of a college degree as an investment. Also, this paper shows the earnings the median high school graduate and median college graduate could expect to earn, ex ante, over his/her career. By employing the data in an ex ante fashion, our estimates of the value of a college degree are based only on information that was available to students at the points in time that they would have made the decisions to enter the workforce or to go on for higher education. 2. Issues in Measuring the Value of Education Previous studies have identified issues involving measuring the value of education: private vs. social returns, selection bias, male vs. female and white vs. black, and survey data collected from firms vs. households. This paper focuses on the individual’s decision to pay for a college education in light of the individual’s expectation of the financial rewards that accrue to the education. As such, I look at private returns – i.e. the net return of higher education to the individual.5 Selection bias presents a significant problem when evaluating the impact of education on earnings. Specifically, one can argue that those with traits that would, a priori, result in higher earnings (e.g. greater intelligence, self-discipline, etc.) will be more likely to attend college. A partial counterargument is that the value lies not solely in the education, but partially in the degree-as-signal (Belman and Heywood, 1997; Altonji and Pierret, 1996). 5 See, for example, Sanders 1992. Thus, there are three possible arguments: (1) that the value of a degree lies in increased labor productivity due to the education, (2) that the value of a degree lies in the signal that the degree conveys, and (3) that the degree has no signaling value and that those who obtain degrees would have earned more regardless of the education. We find the last argument untenable, as the argument requires irrationality on a massive scale – that every year millions of students would spend multi-billions of dollars on a product that imparts no value. We do not distinguish between the first two arguments, as the purpose of this analysis is to examine the financial value of a college degree, not a college education. While of interest from a causal perspective, from a financial perspective the student’s decision to pursue a degree hinges on the fact of the degree’s value, not on the source of the degree’s value. To draw an analogy, a stock that is guaranteed to yield a constant 10% annual return is a good investment. While interesting from a managerial perspective, why the stock earns a guaranteed 10% return is irrelevant to the investment decision. Using earnings data for different age cohorts for each year from 1977 through 2003, we construct estimates of the earnings an 18-year-old could have expected to earn both with a college degree and with a high school degree only over the course of his/her career. The two anticipated earnings streams represent the reasonable expectations of 18year-olds at each year from 1977 through 2003. While studies have shown marked differences in earnings for males vs. females (Oaxaca 1973; Paglin and Rufolo 1990) and blacks vs. whites (Card and Krueger 1993), the focus of this paper is on earnings of college graduates vs. high school graduates aggregated across gender and race. Psacharopoulos and Patrinos (2002) argue that, in measuring earnings, household survey data is preferable to firm survey data as, when surveying firms, there is a bias toward surveying larger organizations that, by extension, will tend to be located in urban environments. Analyses in this paper are based on household survey data reported by the Bureau of the Census. 3. Financial Benefits of a College Degree In 1976, tuition and fees at the average private 4-year college were less than 20% of median household income, and tuition and fees at the average public 4-year college were less than 5% of median household income. By 2003, tuition and fees had risen to over 45% of median household income for 4-year private colleges and 11% for 4-year public colleges.6 Over the past thirty years, tuition and fees inflation has averaged just under 8% annually for both public and private institutions.7 We identify four economic benefits to a college degree: (1) Starting compensation. In 2003, the average 25-year-old full time worker with a college degree earned annual wages of $58,500 versus $33,500 for the average 25-year-old full time worker with a high school education.8 Over the period 1991 through 2003, wages and salaries have averaged only 72% of employee compensation.9 Adding in employer-paid benefits, the difference in compensation for the 25-year-old college graduate versus the 25-year-old high school graduate in 2003 was almost $35,000. (2) Wage growth. Since 1977, the median income for full time workers with college degrees rose 1.1% more per “Trends in College Pricing,” The College Board, Washington, DC, 2003; 2003 Statistical Abstract of the United States, Table 683; 2002 Statistical Abstract of the United States, Table 652. 7 In 1976, the average tuition cost at 4-year private and public institutions was $2,534 and $617, respectively. By 2003, these figures had risen to $19,710 and $4,694. Cf. “Trends in College Pricing,” The College Board, Washington, DC, 2003. 8 2006 Statistical Abstract of the United States, Table 686. 9 Bureau of Labor Statistics, series CCU110000100000D and CCU120000100000D. 6 year than for full time workers with high school diplomas.10 This difference in growth rates caused the earnings gap between high school and college educated workers to more than quadruple (in real terms) over the past thirty years. (3) Likelihood of unemployment. Since 1970, college graduates have experienced unemployment rates (2.3%) that are less than half those of high school graduates (6.1%).11 (4) Likelihood of labor participation. Factors that cause workers to drop out of the labor force include work-preventing injuries and prolonged unemployment. It is more likely that a college-educated worker would be able to compete for a job with a high school educated worker than is the reverse. Because college educated workers are less likely to be employed in manual labor jobs, they will also be less likely to suffer on-the-job injuries. In addition, because of the difference in the range of jobs for which they are respectively suited, the likelihood of a given injury being work-preventing for a high school graduate is greater than the likelihood of that same injury being work-preventing for a college graduate. Due to these factors, one would expect the likelihood of labor participation to be greater among college-educated workers than among high school educated workers. Over the period 1976 through 2003, 86% of college graduates, but only 75% of high school graduates, were labor force participants.12 For the median 18-year-old at time t, let mtc, s and mth, s be, respectively, the median compensations at year t for college educated workers and high school educated workers who are s years older than the 18-year-old at year t. Let ptc , pth , utc , and uth be, 10 Current Population Reports, P60-203, Bureau of the Census, Table C-8, 1997. 1995 Statistical Abstract of the United States, Tables 662 and 663; 2000 Statistical Abstract of the United States, Table 678; 2002 Statistical Abstract of the United States, Table 598. 12 1995 Statistical Abstract of the United States, Table 629 and 630, 2000 Statistical Abstract of the United States, Table 647, 2002 Statistical Abstract of the United States, Table 564, and 2006 Statistical Abstract of the United States, Table 580. 11 respectively, the probabilities of labor participation (for college and high school educated workers) and unemployment (for college and high school educated workers) at year t. At year t, let ft ,cs and ft ,hs be the annual compensation the 18-year-old can expect to earn s years in the future, after completing a college degree, and with a high school diploma, respectively. For the 18-year-old at year t who chooses to pursue a college degree, the expected stream of future compensations is given by c c c mt , s pt 1 ut 4 s 47 ft ,cs 0 0 s 3 (1.2) where we assume, conservatively, that the student does not work while in college and does not work after age 65. Similarly, at year t, the 18-year-old can expect to earn ft ,hs mth, s pth 1 uth 0 s 47 (1.3) for each year, s, of his/her career if s/he skips college and goes directly into the labor force. Intuitively, (1.2) and (1.3) imply that the 18-year-old forms his/her expectation by (a) looking at workers older than s/he, and (b) assuming that, when s/he reaches the same age as those workers, s/he will be earning (in terms of purchasing power) the same amount as those workers are earning now. Thus the expectations in (1.2) and (1.3) are measured in constant (year t) dollars. Unlike other studies in which earnings are compared ex post, (1.2) and (1.3) represent the median ex ante earnings the student can expect at the time the student makes the decision as to whether or not to attend college. College vs. High School Earnings Gap Combining these four economic benefits to a college degree, one can measure the expected earnings gap, or the difference between what the median college graduate and the median high school graduate can expect to earn. In 1977, the median 18-year-old with a high school diploma could expect to earn total compensation (in 1977 dollars) of $700,000 over the course of his/her career – i.e. 47 f s 0 h 1977, s $700, 000 .13 By comparison, the median 18-year-old anticipating attaining an undergraduate degree and then entering the workforce could expect to earn total compensation of $1.1 million. The anticipated career-spanning benefit of the college degree in 1977 was the difference of $400,000 (in 1977 dollars). By 2003, the median 18-year-old with a high school diploma could expect to earn total compensation of $1.5 million (in 2003 dollars) over the course of his/her career. But, with a college degree, that same worker could expect to earn $3.4 million. Thus, by 2003, the anticipated career-spanning benefit of a college degree had increased almost five-fold to $1.9 million. Table 1 shows the expected compensations as perceived c c h h by the median 18-year-old in 1977, f1977,0 , and f1977,0 . Table 2 shows ,..., f1977,47 ,..., f1977,47 c c expected compensations as perceived by the median 18-year-old in 2003, f 2003,0 , ,..., f 2003,47 h h and f 2003,0 . ,..., f 2003,47 [Insert Table 1 here] [Insert Table 2 here] Evaluating College as an Investment We employ the three typical methods for evaluating a financial investment: (1) breakeven point – the number of years required for the income generated from an investment to pay for the investment (assuming no time-value adjustments), (2) internal rate of return – the effective interest yield the investment generates, and (3) net present 13 Note that there are two relevant time adjustments here. Because we use earnings of various age-cohorts as of 1977, the median 18-year-old anticipates earning career-spanning compensation of $700,000 as measured in 1977 dollars. However, because the money will be earned over time, there is an additional present value calculation necessary to account for the real (not nominal) time value of money. value – the amount of cash-in-hand today that, if invested at current interest rates, would yield a stream of payments over time identical to the income stream generated by the investment. While previous studies have used IRR in valuing a college degree, IRR is inappropriate when comparing investments of different magnitudes. For example, a $100 investment that yields an IRR of 50% would be considered by most to be inferior to a $10,000 investment that yields an IRR of 25%. As the cost of education has changed significantly, the net present value is a more appropriate measure for comparing the value of a degree over time. Looking at these three measures for evaluating an investment, we find that despite increases in tuition, the value of a college degree has been steadily rising. Breakeven point. In 1977, the cost of tuition and fees for four years at an average 4-year college plus foregone income from delayed entry into the workforce totaled almost $47,000 for private institutions and $39,000 for public institutions.14 A student who graduated college at age 22 could expect to earn enough additional income as a result of the degree to completely pay off the investment approximately 9.6 years after matriculation.15 By 2003, the average cost of four years’ of tuition and fees plus foregone earnings had risen to $167,000 at private institutions and $106,000 at public institutions. But, the additional income the college graduate could expect to earn had risen even faster so that the average college graduate could expect to pay off the investment within 9.1 years of matriculation (see Figure 1). 14 We assume throughout that the college student completes the undergraduate degree in four years, generates no income while attending college, and receives no aid. We do not include the cost of room and board as the student would be incurring this cost regardless of whether or not the student was in school. 15 The breakeven was 10.0 years using private institution prices and 9.1 years using public institution prices. Because our earnings figures do not distinguish between those who receive their degrees from private vs. public institutions, we do not estimate the value of degrees awarded from private vs. public institutions, but rather the value of degrees using private vs. public prices. Let the expected tuition and fees for one year of college at year t + s be Tt+s. Let the year t + s cost of attending college (tuition, fees, and foregone compensation) be: Cost of attending college in year t s Ct s Tt s ft ,hs 0 s 3 0 s 4 (1.4) The ex ante expected breakeven period, bt, for the sequence of expected net cash flows associated with attaining a degree is: bt 1 bt : ft ,cs Ct s 0 (1.5) s 0 [Insert Figure 1 here] Internal Rate of Return: In 1977, the median student could expect the increased compensation from holding a degree to yield the equivalent of a 15% real rate of return on the price of a private college education and 17% on the price of a public education. By 2003, the median student could expect the real return to be 16% on the price of the private education and 21% on the price of the public education. Over the past 27 years, the rate of return on an investment in a college degree has averaged 2.3 times the return on the Dow Jones Industrial Average and 1.7 times the return on the NASDAQ (see Figure 3). For an anticipated career (including years of college) of n years, we calculate the ex ante internal rate of return, rt, as: n 1 f t ,cs Ct s s 0 1 rt rt : s 0 (1.6) [Insert Figure 2 here] [Insert Figure 3 here] Net Present Value: In 1977, the average 18-year-old could equate the increased earnings over time resulting from a degree less the cost of the degree to $160,000 cash- in-hand (in 1977$), or a net present value of $472,000 in 2003$.16 Specifically, if we took two identical 18-year-old high school graduates in 1977, gave one of the equivalent of $472,000 (in 2003$) and sent him into the job market, gave the other nothing and told her to go to college and pay her own way, by the end of their careers, the two would have been equally well off financially. By 2003, the net present value of a degree had increased to over $800,000 (in 2003$). The ex ante expected net present value (NPV) at age 18, is given by: n 1 NPVt s 0 ft c s Ct s 1 r s (1.7) where r is the long-term riskless real interest rate. As we have accounted for risk via incorporating the probabilities of labor participation and unemployment, and have accounted for inflation by using current wages of older workers as forecasts for the 18year-old’s future earnings, the appropriate discount rate is the long-term riskless real interest rate. For the discount rate, we use the average return (over the period 1977 through 2003) on 20-year Treasury Bills (7.3%) less average inflation (4.3%). [Insert Figure 3 here] Relative Risk: An asset’s beta as defined in the Capital Asset Pricing Model (CAPM) gives us a traditional measure of a firm’s risk relative to the market as a whole. Using our estimates of the internal rate of return on a college degree from 1977 through 2003 as the return on the “security” (rt), 1-year constant maturity Treasury Bill rates as the riskless rate ( r ), and the annual growth in the S&P 500 from year t – 1 to year t as the 16 The net present value figures reported are the averages obtained from using private and public tuition and fees figures. The differences in net present values using private and public costs are approximately ±3% of the reported averages. market return ( rt m ), we estimate the “beta” for a college degree via constrained OLS applied to the CAPM: rt r rt m r (1.8) We obtain a beta of 0.16 using the average cost of private colleges and 0.23 using the average cost of public colleges. This indicates that the risk associated with an investment in a college degree is significantly less than the risk associated with an investment in the market as a whole. One might argue that since wage income comprises the lion’s share of GDP, the beta on the returns to a college degree should be close to one. This argument suffers from aggregation bias. During recessions, high school graduates bear a greater unemployment burden than do college graduates. In fact, over the period 1970 through 2001, the standard deviation of annual unemployment rates for high school graduates was 2.7 times that for college graduates. Thus, one should expect the risk associated with an investment in a college degree to be strictly less than overall market risk.17 4. Conclusion We look at twenty-seven years of data on earnings, employment, and the cost of higher education. We find that, while the cost of higher education has been rising at more than twice the rate of inflation, the benefit to holding a college degree – in terms of increased compensation and decreased likelihood of unemployment – has been growing faster. By using income data for various age cohorts at a single point in time as a proxy for an 18-year-old’s expectations of future earnings, we attain ex ante estimates of the expected value of a college degree. Employing typical measures of financial return, we find that the ex ante expected value of a college degree net of tuition, fees, and foregone 17 Note that we are assuming, with probability one that the student who attempts college actually graduates. This makes our analysis conditional on the (in most cases, not unrealistic) presumption of graduation. compensation has risen, in real terms, by approximately 70% since 1977. Put in perspective, for the median college degree today to be financially equivalent (in net present value terms) to the median college degree in 1977, the cost of a 4-year college education today would have to rise by more than $300,000. References Alstadsæter, A. (2004), Measuring the Consumption Value of Higher Education, NHH Discussion Paper, Norwegian School of Economics and Business Administration. Altonji, J.G. and C.R. Pierret (1996), Employer Learning and the Signaling Value of Education, NBER Working Paper, No. 5438. Belman, D. and J.S. Heywood (1997), Sheepskin Effects by Cohort: Implications of Job Matching in a Signaling Model, Oxford Economic Papers, 49, 623-637. Card, D. (2001), Estimating the Returns to Schooling: Progress on Some Persistent Econometric Problems, Econometrica, 69, 1127-1160. Card, D. and A.B. Krueger (1993), Trends in Relative Black-White Earnings Revisited, American Economic Review, 83, 85-91. Chuang, Y. and C. Chao (2001), Educational Choice, Wage Determination, and Rates of Return to Education in Taiwan, International Advances in Economic Research, 7, 479-504. Cohn, E. and J.T. Addison (1998), The Economic Returns to Lifelong Learning in OECD Countries, Education Economics, 6, 253-307. Cohn, E and W.W. Hughes (1994), A Benefit-Cost Analysis of Investment in College Education in the United States: 1969-1985, Economics of Education Review, 13, 109-123. Daly, M.C., F. Buchel, and G.J. Duncan (2000), Premiums and Penalties for Surplus and Deficit Education: Evidence from the United States and Germany, Economics of Education Review, 19, 169-178. Doiron, D.J. and W.C. Riddell (1994) The Impact of Unionization on Male-Female Earnings Differences in Canada, Journal of Human Resources, 29, 504-534. Groot, W. and H. Oosterbeck (1992), Optimal Investment in Human Capital Under Uncertainty, Economics of Education Review, 11, 41-49. Heckman, J.J. and X. Li (2003), Selection Bias, Comparative Advantage and Heterogeneous Returns to Education, NBER Working Paper, No. 9877. Hough, H.R. (1994), Educational Cost-Benefit Analysis, Education Economics, 2, 93128. Miller, P., C. Mulvey, and N. Martin (1995), What do twins studies reveal about the economic returns to education? A comparison of Australian and U.S. findings, American Economic Review, 85, 586-599. Mincer, J. (1974), Schooling, Experience and Earnings, Columbia University Press, New York. Oaxaca, R. (1973), Male-Female Wage Differentials in Urban Labor Markets, International Economic Review, 14, 693-709. Paglin, M. and A.M. Rufolo (1990), Heterogeneous Human Capital, Occupational Choice, and Male-Female Earnings Differences, Journal of Labor Economics, 8, 123-144. Psacharopoulos, G. (1994), Returns to Investment in Education: A Global Update, World Development, 22, 1325-1343. Psacharopoulos, G. and H. Patrinos (2002), Returns to Investment in Education: A Further Update, Policy Research Working Paper 2881, The World Bank. Sanders, J.M. (1992), Short- and Long-Term Macroeconomic Returns to Higher Education, Sociology of Education, 65, 21-36. Current Population Reports, P60-203, U.S. Bureau of the Census, Washington, DC, 1997. “Federal Policies May Limit Foreign Students,” Daily Policy Digest, National Center for Policy Analysis, Washington, DC, November 13, 2001. International Economic Accounts, Bureau of Economic Analysis, Washington, DC, 2003. Statistical Abstract of the United States, U.S. Bureau of the Census, Washington, DC, 1995. Statistical Abstract of the United States, U.S. Bureau of the Census, Washington, DC, 2000. Statistical Abstract of the United States, U.S. Bureau of the Census, Washington, DC, 2002. Statistical Abstract of the United States, U.S. Bureau of the Census, Washington, DC, 2003. “Trends in College Pricing,” The College Board, Washington, DC, 2003. “Trends in Student Aid,” The College Board, Washington, DC, 2003. Expected Breakeven on Tuition, Fees, and Foregone Compensation @ Age 18 Years from Matriculation 11.0 10.5 10.0 9.5 9.0 8.5 8.0 7.5 Private College Costs 2003 2002 2001 2000 1999 1998 1996 1997 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 1985 1983 1984 1982 1981 1980 1979 1978 1977 7.0 Public College Costs Figure 1. Expected Years, from Matriculation, to Recover Cost of Tuition, Fees, and Foregone Compensation Real IRR on Tuition, Fees and Foregone Compensation @ Age 18 (2003$) 24% 22% 20% 18% 16% 14% Private College Costs 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 1985 1984 1983 1982 1981 1980 1979 1978 1977 12% Public College Costs Figure 2. Expected Real Internal Rate of Return on Cost of Tuition, Fees, and Foregone Compensation Average Nominal Rates of Return (1977 through 2003) 30.0% 25.0% 20.0% 15.0% 10.0% Cost of Public College Cost of Private College NASDAQ DJIA S&P 500 AAA Bonds 20-Year Treasury Bills 0.0% 6 Month CDs 5.0% Figure 3. Comparison of Annual Returns on Financial Instruments to Annual Return on Cost of Tuition, Fees, and Foregone Compensation Age Year 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 High School Graduates Expected Compensation Present Value (1977$) at Age 18 $7,903 $7,903 $8,745 $8,490 $9,586 $9,036 $10,427 $9,542 $11,269 $10,012 $12,110 $10,446 $12,951 $10,846 $13,793 $11,215 $14,059 $11,099 $14,326 $10,980 $14,593 $10,859 $14,860 $10,735 $15,127 $10,610 $15,394 $10,483 $15,661 $10,354 $15,928 $10,223 $16,195 $10,092 $16,461 $9,959 $16,478 $9,679 $16,494 $9,406 $16,510 $9,141 $16,526 $8,884 $16,542 $8,633 $16,559 $8,390 $16,575 $8,154 $16,591 $7,924 $16,607 $7,701 $16,624 $7,484 $16,491 $7,208 $16,358 $6,941 $16,225 $6,685 $16,092 $6,437 $15,960 $6,198 $15,827 $5,967 $15,694 $5,745 $15,561 $5,530 $15,429 $5,323 $15,296 $5,124 $15,115 $4,916 $14,934 $4,715 $14,753 $4,523 $14,572 $4,337 $14,391 $4,158 $14,210 $3,987 $14,029 $3,821 $13,848 $3,662 $13,667 $3,509 $13,486 $3,362 College Graduates Expected Compensation Present Value (1977$) at Age 18 -$2,700 -$2,700 -$2,700 -$2,621 -$2,700 -$2,545 -$2,700 -$2,471 $18,032 $16,021 $19,379 $16,716 $20,725 $17,357 $22,071 $17,946 $22,498 $17,760 $22,926 $17,570 $23,353 $17,377 $23,780 $17,179 $24,207 $16,978 $24,634 $16,774 $25,061 $16,568 $25,488 $16,360 $25,915 $16,149 $26,342 $15,937 $26,368 $15,488 $26,394 $15,052 $26,420 $14,628 $26,446 $14,216 $26,472 $13,815 $26,498 $13,426 $26,524 $13,048 $26,550 $12,680 $26,576 $12,323 $26,602 $11,976 $26,389 $11,534 $26,177 $11,108 $25,964 $10,697 $25,752 $10,300 $25,539 $9,918 $25,327 $9,549 $25,114 $9,193 $24,902 $8,850 $24,689 $8,519 $24,477 $8,199 $24,187 $7,866 $23,898 $7,546 $23,608 $7,237 $23,319 $6,940 $23,029 $6,654 $22,739 $6,379 $22,450 $6,115 $22,160 $5,860 $21,870 $5,615 $21,581 $5,379 Table 1. Expected future value streams for the median 18-year-old in 197718 18 Expected compensation is median wages for full-time workers adjusted for the probability of employment across the following reported age cohorts: 18-24, 25-34, 35-44, 45-54, 55-64, 65+. Median wages within the age cohorts are interpolated. Negative figures for ages 18 through 21 reflect the average cost of tuition and fees for 4-year private colleges. Data sources: Current Population Reports, Bureau of the Census, Series P-60, Nos. 120, 127, 134, 142, 149, 156, 159, 166, 168, 174, 180, 184, 188, 189, 197, 200; Statistical Abstract of the United States, Bureau of the Census, 1995 (No. 742), 1996 (No. 728), 1997 (No. 734), 1998 (No. 754), 1999 (No. 758), 2000 (No. 752), 2001 (No. 677), 2002 (No. 666), 2003 (No. 695), 2004-05 (No. 679), 2006 (No. 686). Wages for 1998 through 2003 are reported in the original data set as averages. We estimate the median figures for these years by multiplying the reported figures by the historical ratio of median to average wages for the years 1993 through 1997. Present values are calculated by discounting at the estimated riskless real interested rate (3%). Age Year 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 High School Graduates Expected Compensation Present Value (2003$) at Age 18 $20,230 $20,230 $21,364 $20,741 $22,497 $21,206 $23,631 $21,626 $24,764 $22,003 $25,898 $22,340 $27,032 $22,639 $28,165 $22,901 $28,612 $22,587 $29,059 $22,271 $29,505 $21,955 $29,952 $21,638 $30,399 $21,321 $30,845 $21,004 $31,292 $20,688 $31,739 $20,372 $32,185 $20,057 $32,632 $19,743 $32,822 $19,279 $33,012 $18,826 $33,201 $18,383 $33,391 $17,949 $33,581 $17,526 $33,771 $17,111 $33,960 $16,706 $34,150 $16,310 $34,340 $15,923 $34,530 $15,545 $34,579 $15,114 $34,629 $14,695 $34,679 $14,287 $34,729 $13,891 $34,778 $13,506 $34,828 $13,131 $34,878 $12,767 $34,927 $12,413 $34,977 $12,068 $35,027 $11,733 $35,002 $11,383 $34,976 $11,044 $34,951 $10,714 $34,926 $10,395 $34,900 $10,085 $34,875 $9,784 $34,850 $9,492 $34,825 $9,209 $34,799 $8,934 $34,774 $8,668 College Graduates Expected Compensation Present Value (2003$) at Age 18 -$19,710 -$19,710 -$19,710 -$19,136 -$19,710 -$18,579 -$19,710 -$18,037 $47,072 $41,823 $50,278 $43,370 $53,483 $44,791 $56,688 $46,093 $58,875 $46,476 $61,061 $46,798 $63,248 $47,062 $65,434 $47,271 $67,620 $47,428 $69,807 $47,535 $71,993 $47,596 $74,180 $47,613 $76,366 $47,589 $78,553 $47,526 $78,862 $46,323 $79,171 $45,150 $79,480 $44,006 $79,790 $42,891 $80,099 $41,803 $80,408 $40,742 $80,717 $39,708 $81,027 $38,699 $81,336 $37,715 $81,645 $36,756 $82,130 $35,897 $82,614 $35,057 $83,099 $34,236 $83,584 $33,432 $84,069 $32,647 $84,553 $31,879 $85,038 $31,128 $85,523 $30,393 $86,007 $29,675 $86,492 $28,973 $86,965 $28,283 $87,438 $27,609 $87,912 $26,950 $88,385 $26,306 $88,858 $25,676 $89,331 $25,061 $89,804 $24,460 $90,278 $23,873 $90,751 $23,299 $91,224 $22,738 Table 2. Expected future value streams for the median 18-year-old in 200319 19 See footnote 18. Expected Net Present Value of a Degree @ Age 18 (2003$) 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 $1,000,000 $900,000 $800,000 $700,000 $600,000 $500,000 $400,000 $300,000 $200,000 $100,000 $0 NPV @ Public College Costs NPV @ Private College Costs Figure 4. Expected Net Present Values of a College Degree for 18-Year-Olds at the indicated date
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