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Numrica · Personal Finance · 7 min read

Pay Down Your Mortgage or Invest the Extra Cash? The Math Is Not What You Think

Imagine you’ve just received a $10,000 bonus at work. Should you use it to pay down your mortgage or invest it? This question is common among American homeowners, but the answer isn’t as simple as it seems. With 30-year fixed mortgage rates running around 6.5–7% in 2024, and the average U.S. household spending over $16,000 annually on housing costs, the decision can feel overwhelming. However, understanding the long-term financial implications of each choice can help you make a smarter move.

Let’s break it down. Paying off your mortgage early can eliminate monthly payments and reduce the total interest paid over the life of the loan. On the other hand, investing that same money might yield higher returns, especially if you’re young and have a long time horizon. The key is to weigh the opportunity cost of each option against your personal financial goals and risk tolerance.

Many people assume that paying down a mortgage is always the safer choice, but this ignores the power of compound growth. For example, if you invest $10,000 in a diversified portfolio earning an average annual return of 7%, it could grow to over $76,000 in 30 years. Meanwhile, paying off a mortgage at today's rates might save you hundreds of thousands of dollars in interest over 30 years—but only if you never invest that money elsewhere. The math isn’t as straightforward as it appears.

The Hidden Cost of Mortgage Interest

When you pay down your mortgage, you’re reducing the principal balance, which in turn lowers the amount of interest charged each month. However, the total interest you’ll pay over the life of the loan depends heavily on the loan term and interest rate. For instance, a 30-year mortgage at 7% on a $300,000 loan would result in over $418,000 in interest payments. That’s well over the principal itself.

By contrast, if you use that same $10,000 bonus to invest, the returns could compound significantly. Let’s say you invest the money in a low-cost index fund with a 7% annual return. After 30 years, that $10,000 would grow to about $76,000. Even if you only earned 5% annually (which is lower than the historical average for the S&P 500), it would still grow to around $43,000. This is why many financial experts argue that investing can be more lucrative than paying off a mortgage, especially if you’re in a lower tax bracket or have a long time horizon.

However, this calculation assumes you don’t have other high-interest debt, like credit card debt, which should always be prioritized over paying off a mortgage. The key is to compare the interest rates of your mortgage with the potential returns of your investments.

The Power of Compound Growth

Compound interest is one of the most powerful tools in personal finance, and it works in your favor when investing. The earlier you start, the more time your money has to grow. For example, if you invest $100 a month starting at age 25, earning 7% annually, you’ll have over $219,000 by age 65. If you wait until age 35 to start, you’ll have around $113,000 by retirement. This illustrates why investing early is often more beneficial than paying down a mortgage, especially if you’re young and have a long time horizon.

But what if you’re older and have less time to invest? In that case, the math might change. For example, a 55-year-old with a $300,000 mortgage at 7% might save more in interest by paying down the loan. If they have 10 years left on their mortgage, paying off the balance could save them around $100,000 in interest. Meanwhile, investing that same $10,000 might only grow to about $20,000 in 10 years at 7% returns. In this scenario, the mortgage might be the better option.

The takeaway is clear: your age, risk tolerance, and financial goals play a crucial role in deciding whether to pay down your mortgage or invest. There’s no one-size-fits-all answer, but understanding the numbers can help you make a more informed choice.

30-year fixed mortgage rate (2024): ~6.5–7%

Rates at this level are meaningfully higher than the historically low rates seen in 2020–2021, making the math between paying down debt and investing more competitive.

Tax Deductions and Other Factors

Another consideration is the tax deductibility of mortgage interest. In the U.S., you can deduct up to $750,000 in mortgage interest if you itemize deductions on your tax return. This effectively reduces the cost of your mortgage by your tax rate. For example, if you’re in the 24% tax bracket, the effective cost of your mortgage is reduced by your marginal rate — on a $300,000 loan, that could mean saving a few thousand dollars in taxes each year. However, if you’re in a lower tax bracket, the benefit is smaller.

Additionally, you should consider your emergency fund and retirement savings. If you’re not maxing out your 401(k) or IRA contributions, it’s generally advisable to prioritize those over paying down your mortgage. Retirement accounts offer tax advantages and employer matching contributions that can significantly boost your savings. Paying off your mortgage should be a secondary priority once you’ve secured these accounts.

Other factors, like the type of mortgage you have, can also influence the decision. For example, if you have a fixed-rate mortgage, you know exactly how much you’ll pay each month. With an adjustable-rate mortgage, your payments could increase over time, making it more urgent to pay down the balance.

The Role of Risk Tolerance and Time Horizon

Your risk tolerance and time horizon are two of the most important factors in deciding whether to invest or pay down your mortgage. Younger investors with a long time horizon can afford to take more risks, as they have more time to recover from market downturns. For example, a 30-year-old with a $300,000 mortgage at 7% might choose to invest the extra cash, knowing that the market has time to grow.

On the other hand, older investors or those with a low risk tolerance might prefer the security of paying off their mortgage. If you’re nearing retirement, the uncertainty of market returns could make paying down your mortgage a more attractive option. This is especially true if you’re concerned about market volatility or don’t have enough emergency savings to cover unexpected expenses.

To help you make the best decision for your situation, we recommend using a mortgage calculator to compare the long-term costs of paying down your mortgage versus investing. By inputting your loan details, interest rate, and investment assumptions, you can see which option aligns better with your financial goals.

Take Control of Your Financial Future

Now that you understand the math behind paying down your mortgage versus investing, it’s time to take action. Start by assessing your financial goals and priorities. If you’re young and have a long time horizon, investing might be the better choice. If you’re older or have a low risk tolerance, paying down your mortgage could provide more stability.

Next, use a mortgage calculator to compare the potential outcomes of each option. This tool can help you estimate how much you’ll save in interest by paying down your mortgage and how much your investments could grow over time. By inputting your loan details, interest rate, and investment assumptions, you can make a more informed decision.

Finally, don’t forget to consider other factors

The figures in this article are illustrative and based on standard financial formulas. Actual results depend on specific loan terms, rates, fees, and market conditions. This content is for educational purposes only and does not constitute financial advice. Consult a qualified financial professional before making decisions about debt, mortgages, or investments.

About the author: Pedro Roriz is a professor of corporate finance and management accounting at IPOG, one of Brazil's largest postgraduate business schools, where he has trained over 15,000 students. He founded TAG Business Solutions in 2016, a financial BPO and CFO-as-a-service firm operating in Brazil and Portugal. He is the creator of Numrica.com.