At 3.35%? Damned straight I would.
I fully understand your stance, trust me, as it works out
on paper. My fair question is...do you? Not a jab or slant at all...but when you cut down $5000 off your mortgage, do you immediately take out a home equity loan for that amount each year at 6...7...8...percent...so that you can make more money on it (8-12%)? Your argument tells me you do...
or should if you don't.

Frankly, from that argument, you should
never, ever see your mortgage balance fall, as that would be just downright silly.
The problem with your question is that it's about feelings instead of numbers. Emotions need to be completely divorced from money decisions. All that matters is the math.
I didn't realize it had a problem.

The only response I can give is this...
I have yet to meet a person asking about money that wasn't a person. You love numbers, as do I. Let's take a $25,000 loan at 5.65% for 15 years...a monthly payment of $206.27. Let's also say you have $25,000 in the bank. Pay it off or invest...that's the real question at hand, right? If we pay it off, we will invest that $206.27 every month for an annual 8% return, fair? Well, I AGREE WITH YOU, the
smart numbers thing to do would be to carry the loan, for after 15 years of 8% returns in a 28% tax bracket (don't forget those...all earnings are taxed!), I would make an extra $621.14 versus paying it off upfront. It makes NUMBERS sense. But rare a person I talk to would rather carry a loan for 15 years for a "smart-financial-no-emotions-only-numbers" savings of $41.14 a year. A fair question (foolish in a numbers-guy's-eyes, I know) would be to ask, "Would you be interested in being debt-free for the next 15 years at a cost of $41.14 a year"?
To be fair, that was a personal loan situation. Rates have come down, as you said. So with your 3.35% on $25,000, what would that look like? Same scenario...payment is now $176.88. Over 15 years, I would make an extra $6463.64. Much better, I agree. So the fair question would then be, "Would you like to be debt-free for the next 15 years with little stress and no payments at a cost of $430.91 a year"? The verdict is out on what a person would choose...it's a personal decision.
Frankly, I'll concede. I can't argue math. I can't. And for that, we all know which is better on paper. And, frankly, I have no problem (none!) with you carrying a mortgage on a house into infinity in order to invest the money. But I also can't argue a husband or wife (each with ZERO financial merit in math on paper) who get peace of mind (again, understood, worthless in finance) and little stress for 5475 days of having no debt. Sure, the math return is less...
But I'll be forever happy to agree to disagree that the uncalculated return is far more.
