How much is a college education worth?

This seems like a reasonable question to ask given that you are now enrolled in college. One way to answer this would be to look at the expected future earnings of a college graduate and compare it to the expected earnings of someone with a high school education. To answer this question, you must look at the statistics regarding average income disaggregated by education. Be aware of the fact that you will have to make some assumptions before you can begin to answer these questions. Also be sure that you realize that you will need to defend your assumptions.

To begin, you will need to calculate the stream of future earnings for someone with less than a high school education, a high school graduate, and a college graduate. the problem is that these earnings are in future dollars, so you need to develop a way of converting them to current dollars which will allow for a comparison of the current costs and the current value of the expected gain in future income. Stated somewhat differently, will the current value of the added lifetime earnings be greater than the cost of the education?

At its core, this is very much like the question concerning future college costs-the key to both these questions is the realization that we are talking about money at two distinct points in time which means this is a compound / present value-future value problem. In fact there are two separate problems rolled into one. First there is the problem of estimating the future income of college and high school grads given current income figures and our estimate of the income growth rate. Once we have estimated the future incomes we then can use present value framework to estimate how much these streams of income are today-what we need to put away today to be certain that we would be able to duplicate the earnings stream with the earnings from our investment of the funds.

To answer the question we will use a spreadsheet, although there are many financial calculators preprogrammed to do this work. In the table below, you are provided with a rather simplistic approach to the problem, but one that captures the essence of the issue. The figures in the columns for current college and current high school are the average earnings of year-round workers with these levels of education. After we have decided on how many years to work, our next step is the specification of a growth rate which we will simply assign a value of 4 percent per year-a number that we would need to justify if we really needed the greater precision. If we program into cell D5 in the spreadsheet the future value formula [= b5*(1+D$3)^(a5-1997)] and drag it down we will reproduce the future value of earnings column for the college graduate. Following the same procedure we can obtain the fourth column if we plug into E5 the following formula [ = E5*(1+E$3)^(a5-1997)]. Note: the $ is included so that when you drag the formula down that C3 does not change. This would allow us to change the figure in cell C3 and it would change all the calculations in the column.

College

High School

College

High School

College

High School

Current

Future

Future

Present

Present

Interest Rate

0.06

0.06

Growth Rate

0.04

0.04

0.04

0.04

1997

61,008

31,081

61,008

31,081

61,008

31,081

1998

61,008

31,081

63,448

32,324

59,857

30,495

1999

61,008

31,081

65,986

33,617

58,728

29,919

2000

61,008

31,081

68,626

34,962

57,619

29,355

2001

61,008

31,081

71,371

36,360

56,532

28,801

2002

61,008

31,081

74,226

37,815

55,466

28,257

2003

61,008

31,081

77,195

39,327

54,419

27,724

2004

61,008

31,081

80,282

40,900

53,392

27,201

2005

61,008

31,081

83,494

42,536

52,385

26,688

2006

61,008

31,081

86,833

44,238

51,397

26,184

2007

61,008

31,081

90,307

46,007

50,427

25,690

2008

61,008

31,081

93,919

47,848

49,475

25,206

2009

61,008

31,081

97,676

49,762

48,542

24,730

2010

61,008

31,081

101,583

51,752

47,626

24,263

2011

61,008

31,081

105,646

53,822

46,727

23,806

2012

61,008

31,081

109,872

55,975

45,846

23,356

2013

61,008

31,081

114,267

58,214

44,981

22,916

2014

61,008

31,081

118,838

60,543

44,132

22,483

2015

61,008

31,081

123,591

62,964

43,299

22,059

2016

61,008

31,081

123,591

62,964

43,299

22,059

2017

61,008

31,081

128,535

65,483

42,482

21,643

2018

61,008

31,081

133,676

68,102

41,681

21,235

2019

61,008

31,081

139,023

70,826

40,894

20,834

2020

61,008

31,081

144,584

73,659

40,123

20,441

2021

61,008

31,081

150,367

76,606

39,366

20,055

2022

61,008

31,081

156,382

79,670

38,623

19,677

2023

61,008

31,081

162,637

82,857

37,894

19,306

2024

61,008

31,081

169,143

86,171

37,179

18,941

2025

61,008

31,081

175,909

89,618

36,478

18,584

2026

61,008

31,081

182,945

93,203

35,790

18,233

2027

61,008

31,081

190,263

96,931

35,114

17,889

2028

61,008

31,081

197,873

100,808

34,452

17,552

2029

61,008

31,081

205,788

104,840

33,802

17,221

2030

61,008

31,081

214,020

109,034

33,164

16,896

2031

61,008

31,081

222,580

113,395

32,538

16,577

2032

61,008

31,081

231,484

117,931

31,924

16,264

2033

61,008

31,081

240,743

122,648

31,322

15,957

2034

61,008

31,082

250,373

127,558

30,731

15,657

2035

61,008

31,083

260,388

132,665

30,151

15,362

2036

61,008

31,084

270,803

137,976

29,582

15,072

2037

61,008

31,085

281,635

143,500

29,024

14,788

The difference is hard to miss. If earnings grow at an average annual rate of 4 percent, the average income of a college grad will be approximately $280,000 while that of a high school grad will be $143,500.

But what is the present value of these two earnings streams? How much must we set aside today to be able to duplicate these earnings streams through the year 2037? Once again we have used a spreadsheet to generate the present values which would be based on interest rates which we would have to defend. If the interest rate, the rate at which money will accumulate is 6 percent per year, then the present value of the expected 2017 earnings of a college graduate would be $42,482. What this means is that if we took this $42,482 and invested it today at a rate of 6 percent per year, this would grow to equal $128,535 by the year 2017. Similarly, we would need $21,643 to be put aside so that we would have the earnings of the high school graduate by the year 2017.

If we add these annual figures up we arrive at the following sums. The actual earnings of the college graduate over his lifetime would be nearly $6 million, almost twice the lifetime earnings of the high school graduate. How much are these streams of earnings worth today? The college stream of earnings could be duplicated by investing approximately $1.767 million, while the high school stream could be duplicated with approximately $.9 million. One of the potential interpretations of these figures is that a potential student should be willing to pay the difference in the present values as tuition since the college education will produce an earnings stream that is larger by this amount.

College

High School

College

High School

College

High School

Current

Future

Future

Present

Present

Interest Rate

0.06

0.06

Growth Rate

0.04

0.04

0.04

0.04

1,274,331

5,920,908

3,016,497

1,767,472

900,457