The True Cost of PMI: Why you should pay down your low-interest mortgage
andrewbridges.org
andrewbridges.org
Unless you are paying insurance, in which case the (article’s) argument is that you end up paying more overall.
I have often wondered why high school math does not teach annuities and perpetuities, after all they are something we will absolutely all encounter as a car loan, mortgage or pension.
And if you’re going to save the difference. If you won’t, the mortgage is a decent forced-saving tool. (You also want to be sure you’re using a regional inflation measure that reflects your actual costs.)
I'm not good enough at money math to work out why this makes sense.
>I ruled out option #2 because appraisals are expensive. Spending hundreds of dollars for an appraisal, on top of paying for PMI, felt like throwing good money after bad.
Your mileage may vary, but for myself, in August of 2023 in Raleigh, the property valuation cost was $190. Check with your lender, or shop around for a different valuation company that they accept. My numbers were similar to those of the author: my PMI was $113.83 and my time for loan-to-value to reach 80% was about four years.
What I found was doing the property valuation and then investing the lump sum of cash put me ahead of the 10% 1-year return. The author can now take their $115 monthly savings and invest, but it will never yield nearly as much as investing the $32,000 in even the most conservative scenarios.
You can play around with some various scenarios in a spreadsheet or https://www.investor.gov/financial-tools-calculators/calcula...
For example, the return on paying down a mortgage with a 3% interest rate is 3%. If savings accounts are paying 4% interest, you’ll get a 1% better return by keeping your money in a savings account than by making extra payments on your mortgage.
No. If the two options are to place $1,200 in a interest account bearing 4% (compounded monthly), versus contributing an extra $100/month to a mortgage at 3%, the amount "earned" is different.Assuming monthly compounding in both cases, in the 4% interest account case, the final balance is $1248.89, representing a net earning of $48.89 based on the compound interest formula. In the second case, one needs to use an amortization schedule and compare the difference in contributing an extra $100/month, versus not doing so. The difference isn't simply a 1% gain though, because one is paying slightly less interest on a shrinking principal over a 30 year period, versus earning 1% on a growing principal over a 30-year period.
You can say the same thing about mortgage interest: it provides no direct benefit to the borrower
If you don’t have PMI, the conventional advice stands.