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package org.apache.poi.ss.formula.functions;

Author:
Amol S. Deshmukh < amolweb at ya hoo dot com >
This class is a functon library for common fiscal functions.
Glossary of terms/abbreviations:



FV: Future Value
PV: Present Value
NPV: Net Present Value
PMT: (Periodic) Payment

For more info on the terms/abbreviations please use the references below
(hyperlinks are subject to change):

Online References:

GNU Emacs Calc 2.02 Manual: http://theory.uwinnipeg.ca/gnu/calc/calc_203.html
Yahoo Financial Glossary: http://biz.yahoo.com/f/g/nn.html#y
MS Excel function reference: http://office.microsoft.com/en-us/assistance/CH062528251033.aspx

Implementation Notes:
Symbols used in the formulae that follow:


p: present value
f: future value
n: number of periods
y: payment (in each period)
r: rate
^: the power operator (NOT the java bitwise XOR operator!)

[From MS Excel function reference] Following are some of the key formulas
that are used in this implementation:
p(1+r)^n + y(1+rt)((1+r)^n-1)/r + f=0   ...{when r!=0}
ny + p + f=0                            ...{when r=0}
/**
 * @author Amol S. Deshmukh &lt; amolweb at ya hoo dot com &gt;
 *
 *
 * This class is a functon library for common fiscal functions.
 * <b>Glossary of terms/abbreviations:</b>
 * <br>
 * <ul>
 * <li><em>FV:</em> Future Value</li>
 * <li><em>PV:</em> Present Value</li>
 * <li><em>NPV:</em> Net Present Value</li>
 * <li><em>PMT:</em> (Periodic) Payment</li>
 *
 * </ul>
 * For more info on the terms/abbreviations please use the references below
 * (hyperlinks are subject to change):
 * </br>Online References:
 * <ol>
 * <li>GNU Emacs Calc 2.02 Manual: http://theory.uwinnipeg.ca/gnu/calc/calc_203.html</li>
 * <li>Yahoo Financial Glossary: http://biz.yahoo.com/f/g/nn.html#y</li>
 * <li>MS Excel function reference: http://office.microsoft.com/en-us/assistance/CH062528251033.aspx</li>
 * </ol>
 * <h3>Implementation Notes:</h3>
 * Symbols used in the formulae that follow:<br>
 * <ul>
 * <li>p: present value</li>
 * <li>f: future value</li>
 * <li>n: number of periods</li>
 * <li>y: payment (in each period)</li>
 * <li>r: rate</li>
 * <li>^: the power operator (NOT the java bitwise XOR operator!)</li>
 * </ul>
 * [From MS Excel function reference] Following are some of the key formulas
 * that are used in this implementation:
 * <pre>
 * p(1+r)^n + y(1+rt)((1+r)^n-1)/r + f=0   ...{when r!=0}
 * ny + p + f=0                            ...{when r=0}
 * </pre>
 */
public final class FinanceLib {

    private FinanceLib() {
        // no instances of this class
    }

    
Future value of an amount given the number of payments, rate, amount
of individual payment, present value and boolean value indicating whether
payments are due at the beginning of period
(false => payments are due at end of period)
Params:
r – rate
n – num of periods
y – pmt per period
p – future value
t – type (true=pmt at end of period, false=pmt at begining of period)/**
     * Future value of an amount given the number of payments, rate, amount
     * of individual payment, present value and boolean value indicating whether
     * payments are due at the beginning of period
     * (false => payments are due at end of period)
     * @param r rate
     * @param n num of periods
     * @param y pmt per period
     * @param p future value
     * @param t type (true=pmt at end of period, false=pmt at begining of period)
     */
    public static double fv(double r, double n, double y, double p, boolean t) {
        double retval = 0;
        if (r == 0) {
            retval = -1*(p+(n*y));
        }
        else {
            double r1 = r + 1;
            retval =((1-Math.pow(r1, n)) * (t ? r1 : 1) * y ) / r
                      -
                   p*Math.pow(r1, n);
        }
        return retval;
    }

    
Present value of an amount given the number of future payments, rate, amount
of individual payment, future value and boolean value indicating whether
payments are due at the beginning of period
(false => payments are due at end of period)
Params:
r – 
n – 
y – 
f – 
t – /**
     * Present value of an amount given the number of future payments, rate, amount
     * of individual payment, future value and boolean value indicating whether
     * payments are due at the beginning of period
     * (false => payments are due at end of period)
     * @param r
     * @param n
     * @param y
     * @param f
     * @param t
     */
    public static double pv(double r, double n, double y, double f, boolean t) {
        double retval = 0;
        if (r == 0) {
            retval = -1*((n*y)+f);
        }
        else {
            double r1 = r + 1;
            retval =(( ( 1 - Math.pow(r1, n) ) / r ) * (t ? r1 : 1)  * y - f)
                     /
                    Math.pow(r1, n);
        }
        return retval;
    }

    
calculates the Net Present Value of a principal amount
given the discount rate and a sequence of cash flows
(supplied as an array). If the amounts are income the value should
be positive, else if they are payments and not income, the
value should be negative.
Params:
r – 
cfs – cashflow amounts/**
     * calculates the Net Present Value of a principal amount
     * given the discount rate and a sequence of cash flows
     * (supplied as an array). If the amounts are income the value should
     * be positive, else if they are payments and not income, the
     * value should be negative.
     * @param r
     * @param cfs cashflow amounts
     */
    public static double npv(double r, double[] cfs) {
        double npv = 0;
        double r1 = r + 1;
        double trate = r1;
        for (int i=0, iSize=cfs.length; i<iSize; i++) {
            npv += cfs[i] / trate;
            trate *= r1;
        }
        return npv;
    }

    
Params:
r – 
n – 
p – 
f – 
t – /**
     *
     * @param r
     * @param n
     * @param p
     * @param f
     * @param t
     */
    public static double pmt(double r, double n, double p, double f, boolean t) {
        double retval = 0;
        if (r == 0) {
            retval = -1*(f+p)/n;
        }
        else {
        double r1 = r + 1;
        retval = ( f + p * Math.pow(r1, n) ) * r
                  /
               ((t ? r1 : 1) * (1 - Math.pow(r1, n)));
        }
        return retval;
    }

    
Params:
r – 
y – 
p – 
f – 
t – /**
     *
     * @param r
     * @param y
     * @param p
     * @param f
     * @param t
     */
    public static double nper(double r, double y, double p, double f, boolean t) {
        double retval = 0;
        if (r == 0) {
            retval = -1 * (f + p) / y;
        } else {
            double r1 = r + 1;
            double ryr = (t ? r1 : 1) * y / r;
            double a1 = ((ryr - f) < 0)
                    ? Math.log(f - ryr)
                    : Math.log(ryr - f);
            double a2 = ((ryr - f) < 0)
                    ? Math.log(-p - ryr)
                    : Math.log(p + ryr);
            double a3 = Math.log(r1);
            retval = (a1 - a2) / a3;
        }
        return retval;
    }


}