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if you have debt at 8% but can invest at 9%, it's better to invest. if you have debt at 6% but can only invert at 5%, it's better to pay down the debt.
taxes add a wrinkle. in your case, the mortgage interest is deductible, but the cd presumably is taxable. so, to make sure you're comparing apples to apples, adjust the mortage interest rate by lopping off your marginal tax rate.
so, your mortage rate might by 3% instead of 4%, or 4% instead of 6%, roughly.
most likely, your after-tax mortgage rate is still higher than a measly 2.5% cd, so you're better off paying down your mortage.
one point, though.
all this addresses is how to pay less interest and taxes, overall. there are other considerations. mainly, what happens if you change your mind and want the couple thousand back? with a cd, you'll pay a penalty, but you can get the money back. if you pay down your mortgage you cannot get it back at all, unless you're in a position to refinance, which is a time-consuming and expensive process, and possibly ill-advised with rates on the rise.
so, bottom line, is paying down the mortgage will probably be cheaper, but investing in a cd is more flexible.
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