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If you finance the $150K at 5% for 30 years AND make an extra $184.70 payment to principle every month, you have essentially paid off a 30-year mortgage in 20 years. Of course, this approach takes much discipline and every month you delay starting these extra payments moves the target and will require extra money to get you back on the 20-year goal track.
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This. Gives you flexibility. Plus, why tie up all your cash in your house? Personal choice.