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> Period payment(given balance after k payments,balance index,initial balance and period rate)
Period payment(given balance after k payments,balance index,initial balance and period rate)
Formula
p
period (monthly) payment
Bk
balance after k payments
B0
initial balance (loan principal)
r
period rate for monthly payments
k
balance index
Formula description
The balance of a loan by repeated substitution.
Calculator (
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Bk
B0
r
%, percent,parts per hundred
decimal
‰, per mil,parts per thousand,per mille,permil,permille,per mill,promille
permyriad,basis point,bp,percentage in point,pip,parts per ten thousand,one-hundredth percent
parts per million,ppm
parts per billion,ppb
parts per trillion,ppt
parts per quadrillion,ppq
k
p
Precision
0
1
2
3
4
5
6
7
8
9
Formula code
C
C#
C++
Java
JavaScript
LaTeX
PHP
#include
p = (pow(1+r,k)*B0-Bk)*r/(pow(1+r,k)-1)
p = (Math.Pow(1+r,k)*B0 -Bk)*r/(Math.Pow(1+r,k)-1)
#include
p = (pow(1+r,k)*B0-Bk)*r/(pow(1+r,k)-1)
p = (Math.pow(1+r,k)*B0-Bk)*r/(Math.pow(1+r,k)-1)
p = (Math.pow(1+r,k)*B0-Bk)*r/(Math.pow(1+r,k)-1)
p =\frac{ ((1+r)^k B_0 - B_k) r}{(1+r)^k-1}
$p = (pow(1+$r,$k)*$B0-$Bk)*$r/(pow(1+$r,$k)-1)
References
Wikepedia:Formulae.
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