webcab.lib.finance.interest
Class Developer

java.lang.Object
  |
  +--webcab.lib.finance.interest.Developer

All Implemented Interfaces:

Serializable

public class Developer

extends Object

implements Serializable

Offers methods for the evaluation of arithmetic and geometric progressions.

See Also:

Serialized Form

Constructor Summary

Developer()
Creates a new instance.

Method Summary

double	sumArithmeticSeries(double firstTerm, double commonDifference, int numberOfTerms) Returns the sum of a finite arithmetic series.
double	sumFiniteGeometricSeries(double firstTerm, double commonRatio, int numberOfTerms) Returns the sum of a finite geometric series.
double	sumInfiniteGeometricSeries(double firstTerm, double commonRatio) Returns the sum of an infinite geometric series.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Developer

public Developer()

Creates a new instance.

Method Detail

sumArithmeticSeries

public double sumArithmeticSeries(double firstTerm,
                                  double commonDifference,
                                  int numberOfTerms)

Returns the sum of a finite arithmetic series.

Parameters:

firstTerm - the first term of the series

commonDifference - the common difference between the terms of the arithmetic progression

numberOfTerms - the number of terms in the series

Returns:

The value of the finite sum of the terms of an arithmetic series.

sumFiniteGeometricSeries

public double sumFiniteGeometricSeries(double firstTerm,
                                       double commonRatio,
                                       int numberOfTerms)

Returns the sum of a finite geometric series.

Parameters:

firstTerm - the first term of the geometric series

commonRatio - the common ratio of the terms within the series

numberOfTerms - the number of terms which the series contains

Returns:

The value of the finite sum of the terms of a geometric series.

See Also:

sumInfiniteGeometricSeries - In order to find the value of the sum of a infinite geometric series.

sumInfiniteGeometricSeries

public double sumInfiniteGeometricSeries(double firstTerm,
                                         double commonRatio)

Returns the sum of an infinite geometric series.

An infinite geometric series is an indefinite sum of terms, namely:

S = a + a * R2 + a * R3 + ...

where '...' denotes that the sum extends in a similar fashion indefinitely.

If the modulus (i.e. absolute value) of the common ratio (i.e. R above) is greater or equal to one then the series will diverge. The series can diverge in one of two ways:

• Diverge to infinity: An infinite value is returned indicating that the modulus of the series can become arbitrarily large as more terms are added.
• NaN - 'Not a number' (i.e. NaN) is returned when the series is found to lie within a finite range but does not converge to a given number. If example, if a = 1, and R = -1; then the generated series will not converge but will oscillate between 1 and 0. Note, that this type of divergence can only take place when the modulus of R is 1.

Parameters:

firstTerm - the first term of the geometric series

commonRatio - the common ratio of the terms within the series

Returns:

The value of the sum of an infinite geometric series.

See Also:

sumFiniteGeometricSeries - In order to find the value of the sum of a finite number of terms of a geometric series.