fv.m

JAVA 数学程序库 提供常规的数值计算程序包

## Copyright (C) 1995, 1996, 1997  Kurt Hornik
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2, or (at your option)
## any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING.  If not, write to the Free
## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
## 02110-1301, USA.

## -*- texinfo -*-
## @deftypefn {Function File} {} fv (@var{r}, @var{n}, @var{p}, @var{l}, @var{method})
## Return the future value at the end of period @var{n} of an investment
## which consists of @var{n} payments of @var{p} in each period,
## assuming an interest rate @var{r}.
##
## The optional argument @var{l} may be used to specify an
## additional lump-sum payment.
##
## The optional argument @var{method} may be used ot specify whether the
## payments are made at the end (@code{"e"}, default) or at the
## beginning (@code{"b"}) of each period.
##
## Note that the rate @var{r} is specified as a fraction (i.e., 0.05,
## not 5 percent).
## @end deftypefn

## Author: KH <[e-mail]>
## Description: Future value of an investment

function v = fv (r, n, p, l, m)

  if ((nargin < 3) || (nargin > 5))
    usage ("fv (r, n, p, l, method)");
  endif

  if (! (isscalar (r) && (r > -1)))
    error ("fv: r must be a scalar > -1");
  elseif (! (isscalar (n) && (n > 0)))
    error ("fv: n must be a positive scalar");
  elseif (! isscalar (p))
    error ("fv: p must be a scalar");
  endif

  if (r != 0)
    v = p * ((1 + r)^n - 1) / r;
  else
    v = p * n;
  endif

  if (nargin > 3)
    if (nargin == 5)
      if (! ischar (m))
        error ("fv: `method' must be a string");
      endif
    elseif ischar (l)
      m = l;
      l = 0;
    else
      m = "e";
    endif
    if strcmp (m, "b")
      v = v * (1 + r);
    endif
    if isscalar (l)
      v = v + fvl (r, n, l);
    else
      error ("fv: l must be a scalar");
    endif
  endif

endfunction

/*
@GROUP
Finance
@SYNTAX
v = fv (r, n, p, l, m)
@DOC
Future value of an investment
@EXAMPLES
<programlisting>
</programlisting>
@NOTES
@SEE
fvl
*/