You take out a slightly bigger loan to pay off the interest and principal of the original. Then you take out another even slightly bigger loan to pay off that one, and so on until you die.
Then whoever inherits your assets gets a step-up in basis (you’re only taxed on gains, which is current market price minus basis). And then they immediately sell some of those assets to pay off those loans, before the market price has a chance to increase beyond the stepped up basis.
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