I know this may seem like a stupid question but i've been up late working on this math assignment and this question just isn't working when i transpose it.

So this is the formula to find Present Value (PV) and I'm rearranging it to find PMT.

$$PV = PMT - \frac{1-(1 + i/k)^{-n} } {i/k}$$

PV = 429000
K = 12
N = 300
i = 5.11

Can someone link me to an annuity calculator!

  • $\begingroup$ So basically you're trying to find the monthly payment(PMT) of an annuity is it ? $\endgroup$ – ganeshie8 Aug 20 '14 at 11:53
  • 1
    $\begingroup$ is the edit correct? $\endgroup$ – Vikram Aug 20 '14 at 11:54
  • $\begingroup$ Yes I am trying to find the monthly payment using annuity! $\endgroup$ – user151764 Aug 20 '14 at 11:56
  • $\begingroup$ You have to use calculator to simplify the expressions, these finance calculations are difficult to carry out without calculator. Are you allowed to use calculator ? $\endgroup$ – ganeshie8 Aug 20 '14 at 11:57
  • $\begingroup$ Wait I am allowed to use a finance calculator but I need to show my steps of how I got to it. $\endgroup$ – user151764 Aug 20 '14 at 12:00

$PV = PMT\times \left(\dfrac{1-\left(1+\dfrac{i}{k}\right)^{-n}}{\dfrac{i}{k}}\right)$

Your goal is to isolate $PMT$, so simply divide :

$\dfrac{PV}{\left(\dfrac{1-\left(1+\dfrac{i}{k}\right)^{-n}}{\dfrac{i}{k}}\right)} = PMT$

Rearranging a bit you would get :

$\boxed{\dfrac{PV\times \dfrac{i}{k}}{1-\left(1+\dfrac{i}{k}\right)^{-n}} = PMT}$

Plugin the given values and evaluate !

  • $\begingroup$ Thanks man you're the best! $\endgroup$ – user151764 Aug 20 '14 at 12:57
  • $\begingroup$ you're welcome :) its a good idea to verify your work with wolfram : wolframalpha.com/input/?i=%28429000*%280.0511%2F12%29%29%2F%281-%281%2B0.0511%2F12%29%5E%28-300%29%29 $\endgroup$ – ganeshie8 Aug 20 '14 at 13:16

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