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- ## Copyright (C) 1995, 1996 Kurt Hornik
- ##
- ## This program 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.
- ##
- ## This program 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 this file. If not, write to the Free Software Foundation,
- ## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
-
- ## usage: pv (r, n, p [, l] [, method])
- ##
- ## Returns the present value of an investment that will pay off p for n
- ## consecutive periods, assuming an interest r.
- ##
- ## With the optional scalar argument l, one can specify an additional
- ## lump-sum payment made at the end of n periods.
- ##
- ## With the optional string argument `method', one can specify whether
- ## payments are made at the end ("e", default) or at the beginning ("b")
- ## of each period.
- ##
- ## Note that the rate r is not specified in percent, i.e., one has to
- ## write 0.05 rather than 5 %.
- ##
- ## See also: pmt, nper, rate; npv.
-
- ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at>
- ## Description: Present value of an investment
-
- function v = pv (r, n, p, l, m)
-
- if ((nargin < 3) || (nargin > 5))
- usage ("pv (r, n, p [, l] [, method])");
- endif
-
- if !(is_scalar (r) && (r > -1))
- error ("pv: r must be a scalar > -1");
- elseif !(is_scalar (n) && (n > 0))
- error ("pv: n must be a positive scalar");
- elseif !is_scalar (p)
- error ("pv: p must be a scalar.");
- endif
-
- if (r != 0)
- v = p * (1 - (1 + r)^(-n)) / r;
- else
- v = p * n;
- endif
-
- if (nargin > 3)
- if (nargin == 5)
- if !isstr (m)
- error ("pv: `method' must be a string");
- endif
- elseif isstr (l)
- m = l;
- l = 0;
- else
- m = "e";
- endif
- if strcmp (m, "b")
- v = v * (1 + r);
- endif
- if is_scalar (l)
- v = v + pvl (r, n, l);
- else
- error ("pv: l must be a scalar");
- endif
- endif
-
- endfunction
-
-