Originally posted by phantom
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Sometimes, people wonder whether the accelerated pay-off of mortgages and other debts would make sense. Whether to accelerate debt repayment depends upon: A) availability of sufficient cash flow or assets to make the added debt payments, B) the net after-tax debt interest rate percentage, C) expected investment return on the funds used to make accelerated debt payments, and D) personal risk aversion.
If a person is the average investor and holds the asset allocation of the average investor, that would be about 25% cash, 20% bonds, and 55% stocks. When you evaluate debt repayment trade-offs, you should use nominal rates of return that include inflation, since future debt payments are also made with nominal or inflationary dollars (rather than with real or constant purchasing power dollars). Over many decades, the compounded inflation rate has been very close to 3.0%. The compounded nominal dollar return with inflation for cash assets has been about 3.7%. (Makes the last few years of negative real dollar cash returns seem even more bizarre.) The nominal return for bonds has been about 5.7%, and the nominal return for stocks has been about 9.3%.
Since this person would have to reduce his/her financial assets to retire the mortgage debt more quickly, then the other side of the accelerated payoff analysis is the foregone expected rate of return on financial portfolio assets. Because the average investor would have the choice between paying of debt or investing those funds, it is necessary to figure out the weighted average expected investment return for comparison purposes.
For this average investor the expected nominal return of the portfolio would be (25% times 3.7% for cash) plus (20% times 5.7% for bonds) plus (55% times 9.3% for stocks), which equals 7.18%. Therefore, this investor would expect an average annual return for the portfolio of about 7.2%. Of course, there could be significant year-to-year fluctuations in what portfolio returns actually might turn out to be.
Compare this expected 7.2% portfolio return with the case for paying off some mortgage debt. First, you need to take into account the impact of taxes on this comparison. With mortgage debt, you may obtain an advantageous tax-shield on mortgage payments. This is especially true, when A) the payments are earlier in the overall repayment schedule and thus consist of more interest payment than principal repayment and B) the taxpayer is in a higher combined federal, state, and local income tax bracket. The calculations would be complex, but clearly the true interest cost would be noticeably lower than the nominal interest rate.
Because of "investment tax location optimization," these accelerated payment funds would more likely be held in taxable accounts as equities and would be subject to long-term capital gains tax rates, if the portfolio was passively managed. Since some long-term capital gains taxes can be avoided for years and then paid at lower capital gains taxes at the federal level, perhaps the expected after-tax return would sink modestly below the 7.2% expected outcome. Again, the after-tax computations are complex and depend upon multiple factors.
Nevertheless, the bottom line is that for an average investor, when he accelerated repayment of a mortgage debt, "earns" noticeably below the mortgage interest rate on an after-tax returns, but pays for it with a perhaps a 6.5% to 7% after-tax investment opportunity cost. In effect, when additional investment assets are diverted to make additional payments on low cost debt, then one loses the potential investment return on those assets. Unless an investor has a portfolio far more heavily weighted toward cash and bonds, then accelerated mortgage repayment is not preferable to investing the funds that would have gone toward accelerated debt repayments.
Of course, there is more risk or variability – both positive and negative – involved in holding more investment assets rather than paying down debt. While accelerated debt payments would have a lower overall expected financial value in the example just provided, they are not subject to the same future variability, as an investment portfolio. One dollar more of debt paid off is one dollar of debt not owed – without the future investment uncertainty.

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