o valor da prestação que devera amortizar 15.000 a 8% a.m em 10 prestações mensais e de ?
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Boa noite!
Sendo a prestação constante, temos:
![<br />\displaystyle{PV=PMT\cdot\left[\frac{1-\left(1+i\right)^{-n}}{i}\right]}\\\displaystyle{15\,000=PMT\cdot\left[\frac{1-\left(1+8\%\right)^{-10}}{8\%}\right]}\\\displaystyle{15\,000=PMT\cdot\left(\frac{1-1,08^{-10}}{0,08}\right)}\\\displaystyle{PMT=\frac{15\,000\cdot{0,08}}{1-1,08^{-10}}}\\\displaystyle{PMT\approx{2\,235,44}<br />](https://tex.z-dn.net/?f=%3Cbr+%2F%3E%5Cdisplaystyle%7BPV%3DPMT%5Ccdot%5Cleft%5B%5Cfrac%7B1-%5Cleft%281%2Bi%5Cright%29%5E%7B-n%7D%7D%7Bi%7D%5Cright%5D%7D%5C%5C%5Cdisplaystyle%7B15%5C%2C000%3DPMT%5Ccdot%5Cleft%5B%5Cfrac%7B1-%5Cleft%281%2B8%5C%25%5Cright%29%5E%7B-10%7D%7D%7B8%5C%25%7D%5Cright%5D%7D%5C%5C%5Cdisplaystyle%7B15%5C%2C000%3DPMT%5Ccdot%5Cleft%28%5Cfrac%7B1-1%2C08%5E%7B-10%7D%7D%7B0%2C08%7D%5Cright%29%7D%5C%5C%5Cdisplaystyle%7BPMT%3D%5Cfrac%7B15%5C%2C000%5Ccdot%7B0%2C08%7D%7D%7B1-1%2C08%5E%7B-10%7D%7D%7D%5C%5C%5Cdisplaystyle%7BPMT%5Capprox%7B2%5C%2C235%2C44%7D%3Cbr+%2F%3E "<br />\displaystyle{PV=PMT\cdot\left[\frac{1-\left(1+i\right)^{-n}}{i}\right]}\\\displaystyle{15\,000=PMT\cdot\left[\frac{1-\left(1+8\%\right)^{-10}}{8\%}\right]}\\\displaystyle{15\,000=PMT\cdot\left(\frac{1-1,08^{-10}}{0,08}\right)}\\\displaystyle{PMT=\frac{15\,000\cdot{0,08}}{1-1,08^{-10}}}\\\displaystyle{PMT\approx{2\,235,44}<br />")
Espero ter ajudado!
Sendo a prestação constante, temos:
Espero ter ajudado!
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