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Is it possible to make money by getting a mortgage?
yes.   you can take out 500,000 form your paid of house.  you pay back 500,000 at 3.5. percent.       you do get a tax break for not owning your house.  it is less then 3.5 you are paying back the back. about one forth of that, BUT you take the 500,000 in invest.   Now cd low 1 percent,  stock is risky.    You can do REIT, with are about 8 to 12  every year. so even at 8 - tax 1.5 is 6.5 - 3.5 bank loan.  that   3 percent on your 500,000 thousand, plus tax break, but that only at 8 percent.      or 500,000 and buy a apartment building, again about 7 to 10 percent,   so that 2 to 3 percent profit, but the building goes up over years.