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    the third option is interest free? Commented Mar 25 at 14:14
  • correct. 5k quarterly interest free.
    – sg552
    Commented Mar 25 at 14:29
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    @sg552 not exactly. You pay 50K in 10 quarters, instead of 45K now. That's ~11% total interest.
    – littleadv
    Commented Mar 25 at 18:01
  • I feel like this is a homework problem.
    – Pete B.
    Commented Mar 25 at 19:10
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    It could be homework, though it's not rare for a vendor to offer this kind of choice (though the vendor may not offer all three options, and the numbers will vary). Footnote: If you take any kind of loan, it's always good to make sure that it will permit you to pay off the balance at any time without additional fees, and ideally to make sure that it allows making additional payments against principal if you happen to have the cash to do so and want to pay it off faster.
    – keshlam
    Commented Mar 25 at 22:04