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The 15- vs. 30-Year Mortgage Savings Myth

Posted By __Jim__ On 04/18/2008 @ 6:38 am In __The Home__ | __37 Comments__

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.

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[2] Email: **mailto:?subject=http://www.bargaineering.com/articles/15-vs-30-year-mortgage-savings-myth.html**

[3] 8 regrets of 2007: **http://www.thesimpledollar.com/2008/04/15/eight-personal-finance-regrets-from-the-past-year/**

[4] fixed mortgage loan calculator: **http://dinkytown.net/java/MortgageLoan.html**

[5] Bankrate’s mortgage calculator: **http://www.bankrate.com/calculators/mortgages/mortgage-calculator.aspx?pid=p:brg**

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