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# The 15- vs. 30-Year Mortgage Savings Myth

If you’ve ever lamented the fact that you signed a 30 year fixed mortgage instead of a 15 year fixed mortgage (it was one of 8 regrets of 2007 [3] for Trent of The Simple Dollar) because of how much money you could’ve saved, don’t. I’m going to do some simple Dinkytown.net (using this fixed mortgage loan calculator [4], but you can also use Bankrate’s mortgage calculator [5]) math to show that the difference between prepaying a 30 year fixed mortgage and a 15 year fixed mortgage is not big. The current rates on Bankrate (as of early morning on April 16th, 2008) for a 30 year fixed mortgage is 5.62% and for a 15 year fixed mortgage is 5.20%, so we’ll be using those. Rates have since changed but the analysis still holds.

If you had a \$300,000 mortgage and made additional payments (~\$677) onto the 5.62% 30-year mortgage such that the payments matched the 5.20% 15-year mortgage (~\$2403), the difference in total cost (principal and interest) is ~\$19,153 pre-tax across fifteen years. After you discount it by your marginal tax rate (say 25%), divide it across the 180 months, it’s only \$79.80 a month. \$80 difference on a \$2403 mortgage payment is 3.3%.

You might say: “Jim, you’re just conveniently ignoring the \$19,153 and focusing on the smaller monthly number of \$80 – that’s just mathematical hocus-pocus. I’m upset about the \$19,153! Also, \$80 might not be a lot to you Mr. Money-bags, but I’d rather have that money than give it to a mortgage company.”

To which I would respond: “Ah, good point, but let us calculate the present value of that \$80 a month and see how much it’s really ‘worth’ to us today. As for the \$80, I too would rather have it in my pocket, but I’m not going to cry over spilled milk.”

If you assume that inflation will be at 4% a year, 180 payments of \$79.80 is worth approximately \$10,788 today (if I did it right in my TI BA-II Plus calculator). It’s a \$10,788 difference on a \$300,000 mortgage. Ten thousands dollars isn’t a trivial amount of money, but that’s the cost of having the flexibility to make the 30 year payment into a 15 year payment if you want to. If you have a 15 year mortgage, you are required to make that payment.

Lastly, if you still are bothered about the difference, you can always refinance. ðŸ™‚