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Title : A suite of financial management functions including present and future value of an annuity and a loan payment calculation function.
Categories : Algorithms, PHP Update Picture
William Lucking
Date : Jan 17th 1999
Grade : 3 of 5 (graded 10 times)
Viewed : 18887
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<?php

/*

by William Lucking (will@ahnet.net) of Affinity Hosting, LLC, offering
low cost hosting providing UNIX accounts supporting PHP3, PHP2, and
mySQL
(no telnet access).

We are always hiring PHP programmers in the Los Angeles area, full
and
part-time.

This suite offers many financial management functions that can be
used (but not limited) for a web based mortgage or loan calculator.

Need some Financial Management training:
http://www.duke.edu/~charvey/Classes/ba350_1997/preassignment/preassign.htm

VARIABLES:

$m = number of periods per year. For instance, if you are For
instance, if you are making payments monthly then this number is 12.
$n = total number of periods. For instance, if you are
compounding monthly for 5 years, this number would be 60 (12 months
x 5 years).
$R = annual interest rate (represented as a decimal, 8% = .08)
$pmt = first or re-occuring payment or receipt (this number cannot
vary for differing cash flows)
$principal = present value of an annuity, or current principal of a
loan used in the PaymentCalc function

*/

// present value of an Annuity
// uses include defining Remaining Principal of a loan/mortgage

function PVannuity ($m,$n,$R,$pmt) {

$Z = 1 / (1 + ($R/$m));
return ($pmt * $Z * (1 - pow($Z,$n)))/(1 - $Z);

}

// Given the compounding, principal, interest rate, you can calculate
the monthly payment

function PaymentCalc ($m,$n,$R,$principal) {

$Z = 1 / (1 + ($R/$m));
return ((1 - $Z) * $principal) / ($Z * (1 - pow($Z,$n)));

}

// future value of an Annuity

function FVannuity ($m,$n,$R,$pmt) {

return $pmt * ((pow((1 + $R/$n),$m) - 1)/($R/$n));

}

// present value of a single payment

function PVsingle ($m,$n,$R,$pmt) {

return $pmt * pow((1 + $R/$m),-$n);

}

// future value of a single payment

function FVsingle ($m,$n,$R,$pmt) {

return $pmt * pow((1 + $R/$m),$n);

}

// future value of a single payment with continuous compounding

function FVperp ($m,$n,$R,$pmt) {

return $pmt * exp($R * ($n/$m));

}

?>



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