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Saturday, February 8, 2020

# The Price of Repaying Student Loans for 10 Years Instead of Investing

## Financial counselors have long stressed that the “miracle of compounding” becomes increasingly powerful the longer any funds are held. By delaying investing because of student loan debt, young people lose more than many realize.

College students currently graduate with an average student loan debt of \$30,000. At a 4 percent interest rate, monthly payments of \$304 (\$3,648 per year) retire the debt in ten years. In all the current brouhaha about the college loan crisis, an important cost to borrowers is unmentioned. To wit, the burden of loan repayment following graduation no doubt delays graduates beginning personal retirement programs.

Financial counselors have long stressed that the “miracle of compounding” becomes increasingly powerful the longer any funds are held. Save early is the counselors’ motto. Not for new college graduates faced with loan repayment. For example, what if the holder of the \$30,000 student loan, who pays it off in 10 years, delays implementing a personal retirement program for ten years? Does it make a difference? Yes, a big difference. How much?

## The Calculations

There are numerous ways to configure examples of the consequences of this delay. To keep things simple, consider two scenarios. First, ask what the average college graduate paying \$3,648 per year on his/her loan could expect to accumulate by retirement had that same amount been annually invested and held in the stock market (say, in an S&P 500 index fund). Second, suppose one adopts the same investment program delayed by 10 years on account of loan repayment.

Yes, the difference is almost \$1,000,000! Saving earlier rather than later matters.

To this end, it turns out that the average annual return in the stock market since 1928, as measured by the S&P 500 index, is about 10 percent. Making the calculations by hand is tedious. For example, the first year’s payment will grow to \$3,648 x (1.1)10 by the end of 10 years. Likewise, the second year’s payment grows to \$3,648 x (1.1)9 by the end of nine years, and so on. (Various websites can assist.)

In either scenario, the graduates end up with \$63,948 at the end of 10 years of investing \$3,648 per year. However, the loan re-payer realizes this \$63,498 10 years later than the non-re-payer. Were the non-re-payer to allow his/her \$63,948 to accumulate for another 10 years so that the two were at the same time, the non-re-payer’s S&P account would be worth \$165, 864—more than \$100,000 greater than the re-payer’s account.

Alternatively, suppose at the end of 10 years of investing, both individuals let their S&P accounts accumulate until they reached the retirement age of 65. Assume both graduate at age 22.

No wonder Albert Einstein labeled compound interest the “eighth wonder of the world.”

The non-re-payer’s account would accumulate another 33 years, the re-payer’s account 23 years. When both reach age 65, the non-re-payer’s account would be worth \$1,485,202; the re-payer’s account \$572,609. Yes, the difference is almost \$1,000,000! Saving earlier rather than later matters. No wonder Albert Einstein labeled compound interest the “eighth wonder of the world.”

What makes this story even more unfortunate in my view is that the increase in college costs tracks the increase in government support for education.

It is these extra dollars that fund the widely observed growth in college and university administrators (associate provosts, assistant provosts, associate deans, assistant deans, and so on). Students end up with an administrative-laden education at the expense of less lucrative financial futures—a poor tradeoff in my book.

• T. Norman Van Cott, professor of economics, received his Ph.D. from the University of Washington in 1969. Before joining Ball State in 1977, he taught at University of New Mexico (1968-1972) and West Georgia College (1972-1977). He was the department chairperson from 1985 to 1999. His fields of interest include microeconomic theory, public finance, and international economics. Van Cott's current research is the economics of constitutions.