Quote from TGregg:
Yeah, 21.5
(e^(21.52. . .)) -1 = ~19.5%
Whoops, that's backwrds. Too much crap going on. Reverse it:
(e^(~19.5)) -1 = 21.52. . .
Using a compounded continuously rate of 19.5%, you end up with $224,373.8732 taking $125k on day 1 and $224,364.1383 taking 3 payments of 50k. Less than $10 difference. Using a yield of 21.6% produces 224755.712 and 224635.0848 for a difference of ~$120. A yield of 21.5% produces a difference of ~$40.
I was thinking of using cc to compare the answers...
But it's generally unheard of for a basic problem to use cc unless it's either specified in the question or in the pretext leading up to the question.
And 19.5 isn't an answer anyways.
