You say do not?
In truth, for me I kind of need to keep the mortgage because my income + lack of children makes for a terrible position.
I'll stop.
Not in every situation, but often I believe the better financial decision is to pay the interest on the mortgage and not pay it off early.
My thinking is that there is bad interest and good interest. Bad interest = interest at a rate which is higher (net of any tax savings from deducting it or getting a credit for it) than what you can expect to get, on average, as a return on investment. Good interest = not bad interest.
For example, if I have a $100,000 mortgage at 4%, which I can deduct on my taxes (assume a marginal rate of 25% for taxes), then I am paying 3% to keep the mortgage.
If I found $100,000 is the street (which happens to me all the time), would I be better off to pay off the 3% mortgage or to invest it in the stock market if I feel I can get a 7% average annual return on my investment?
If I pay off the mortgage, I am up $0 at the end of the year. No debt, no money.
If I invest, I am up $4,000 at the end of the first year (I made $7,000 on my investment, but paid only $3,000 in interest, net of the tax savings).
Which was better?