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412 lines
13 KiB
EmacsLisp
412 lines
13 KiB
EmacsLisp
;;; calc-fin.el --- financial functions for Calc
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;; Copyright (C) 1990-1993, 2001-2019 Free Software Foundation, Inc.
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;; Author: David Gillespie <daveg@synaptics.com>
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;; This file is part of GNU Emacs.
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;; GNU Emacs is free software: you can redistribute it and/or modify
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;; it under the terms of the GNU General Public License as published by
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;; the Free Software Foundation, either version 3 of the License, or
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;; (at your option) any later version.
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;; GNU Emacs is distributed in the hope that it will be useful,
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;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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;; GNU General Public License for more details.
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;; You should have received a copy of the GNU General Public License
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;; along with GNU Emacs. If not, see <https://www.gnu.org/licenses/>.
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;;; Commentary:
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;;; Code:
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;; This file is autoloaded from calc-ext.el.
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(require 'calc-ext)
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(require 'calc-macs)
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;;; Financial functions.
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(defun calc-fin-pv ()
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(interactive)
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(calc-slow-wrapper
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(if (calc-is-hyperbolic)
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(calc-enter-result 3 "pvl" (cons 'calcFunc-pvl (calc-top-list-n 3)))
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(if (calc-is-inverse)
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(calc-enter-result 3 "pvb" (cons 'calcFunc-pvb (calc-top-list-n 3)))
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(calc-enter-result 3 "pv" (cons 'calcFunc-pv (calc-top-list-n 3)))))))
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(defun calc-fin-npv (arg)
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(interactive "p")
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(calc-slow-wrapper
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(if (calc-is-inverse)
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(calc-vector-op "npvb" 'calcFunc-npvb (1+ arg))
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(calc-vector-op "npv" 'calcFunc-npv (1+ arg)))))
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(defun calc-fin-fv ()
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(interactive)
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(calc-slow-wrapper
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(if (calc-is-hyperbolic)
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(calc-enter-result 3 "fvl" (cons 'calcFunc-fvl (calc-top-list-n 3)))
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(if (calc-is-inverse)
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(calc-enter-result 3 "fvb" (cons 'calcFunc-fvb (calc-top-list-n 3)))
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(calc-enter-result 3 "fv" (cons 'calcFunc-fv (calc-top-list-n 3)))))))
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(defun calc-fin-pmt ()
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(interactive)
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(calc-slow-wrapper
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(if (calc-is-hyperbolic)
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(calc-enter-result 3 "fvl" (cons 'calcFunc-fvl (calc-top-list-n 3)))
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(if (calc-is-inverse)
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(calc-enter-result 3 "pmtb" (cons 'calcFunc-pmtb (calc-top-list-n 3)))
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(calc-enter-result 3 "pmt" (cons 'calcFunc-pmt (calc-top-list-n 3)))))))
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(defun calc-fin-nper ()
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(interactive)
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(calc-slow-wrapper
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(if (calc-is-hyperbolic)
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(calc-enter-result 3 "nprl" (cons 'calcFunc-nperl (calc-top-list-n 3)))
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(if (calc-is-inverse)
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(calc-enter-result 3 "nprb" (cons 'calcFunc-nperb
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(calc-top-list-n 3)))
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(calc-enter-result 3 "nper" (cons 'calcFunc-nper
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(calc-top-list-n 3)))))))
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(defun calc-fin-rate ()
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(interactive)
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(calc-slow-wrapper
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(calc-pop-push-record 3
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(if (calc-is-hyperbolic) "ratl"
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(if (calc-is-inverse) "ratb" "rate"))
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(calc-to-percentage
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(calc-normalize
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(cons (if (calc-is-hyperbolic) 'calcFunc-ratel
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(if (calc-is-hyperbolic) 'calcFunc-rateb
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'calcFunc-rate))
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(calc-top-list-n 3)))))))
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(defun calc-fin-irr (arg)
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(interactive "P")
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(calc-slow-wrapper
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(if (calc-is-inverse)
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(calc-vector-op "irrb" 'calcFunc-irrb arg)
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(calc-vector-op "irr" 'calcFunc-irr arg))))
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(defun calc-fin-sln ()
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(interactive)
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(calc-slow-wrapper
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(calc-enter-result 3 "sln" (cons 'calcFunc-sln (calc-top-list-n 3)))))
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(defun calc-fin-syd ()
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(interactive)
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(calc-slow-wrapper
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(calc-enter-result 4 "syd" (cons 'calcFunc-syd (calc-top-list-n 4)))))
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(defun calc-fin-ddb ()
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(interactive)
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(calc-slow-wrapper
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(calc-enter-result 4 "ddb" (cons 'calcFunc-ddb (calc-top-list-n 4)))))
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(defun calc-to-percentage (x)
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(cond ((Math-objectp x)
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(setq x (math-mul x 100))
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(if (Math-num-integerp x)
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(setq x (math-trunc x)))
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(list 'calcFunc-percent x))
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((Math-vectorp x)
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(cons 'vec (mapcar 'calc-to-percentage (cdr x))))
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(t x)))
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(defun calc-convert-percent ()
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(interactive)
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(calc-slow-wrapper
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(calc-pop-push-record 1 "c%" (calc-to-percentage (calc-top-n 1)))))
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(defun calc-percent-change ()
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(interactive)
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(calc-slow-wrapper
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(let ((res (calc-normalize (cons 'calcFunc-relch (calc-top-list 2)))))
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(calc-pop-push-record 2 "%ch" (calc-to-percentage res)))))
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;;; Financial functions.
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(defun calcFunc-pv (rate num amount &optional lump)
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(math-check-financial rate num)
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(math-with-extra-prec 2
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(let ((p (math-pow (math-add 1 rate) num)))
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(math-add (math-mul amount
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(math-div (math-sub 1 (math-div 1 p))
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rate))
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(math-div (or lump 0) p)))))
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(put 'calcFunc-pv 'math-expandable t)
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(defun calcFunc-pvl (rate num amount)
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(calcFunc-pv rate num 0 amount))
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(put 'calcFunc-pvl 'math-expandable t)
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(defun calcFunc-pvb (rate num amount &optional lump)
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(math-check-financial rate num)
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(math-with-extra-prec 2
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(let* ((p (math-pow (math-add 1 rate) num)))
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(math-add (math-mul amount
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(math-div (math-mul (math-sub 1 (math-div 1 p))
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(math-add 1 rate))
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rate))
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(math-div (or lump 0) p)))))
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(put 'calcFunc-pvb 'math-expandable t)
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(defun calcFunc-npv (rate &rest flows)
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(math-check-financial rate 1)
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(math-with-extra-prec 2
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(let* ((flat (math-flatten-many-vecs flows))
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(pp (math-add 1 rate))
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(p pp)
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(accum 0))
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(while (setq flat (cdr flat))
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(setq accum (math-add accum (math-div (car flat) p))
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p (math-mul p pp)))
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accum)))
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(put 'calcFunc-npv 'math-expandable t)
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(defun calcFunc-npvb (rate &rest flows)
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(math-check-financial rate 1)
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(math-with-extra-prec 2
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(let* ((flat (math-flatten-many-vecs flows))
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(pp (math-add 1 rate))
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(p 1)
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(accum 0))
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(while (setq flat (cdr flat))
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(setq accum (math-add accum (math-div (car flat) p))
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p (math-mul p pp)))
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accum)))
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(put 'calcFunc-npvb 'math-expandable t)
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(defun calcFunc-fv (rate num amount &optional initial)
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(math-check-financial rate num)
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(math-with-extra-prec 2
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(let ((p (math-pow (math-add 1 rate) num)))
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(math-add (math-mul amount
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(math-div (math-sub p 1)
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rate))
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(math-mul (or initial 0) p)))))
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(put 'calcFunc-fv 'math-expandable t)
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(defun calcFunc-fvl (rate num amount)
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(calcFunc-fv rate num 0 amount))
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(put 'calcFunc-fvl 'math-expandable t)
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(defun calcFunc-fvb (rate num amount &optional initial)
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(math-check-financial rate num)
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(math-with-extra-prec 2
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(let ((p (math-pow (math-add 1 rate) num)))
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(math-add (math-mul amount
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(math-div (math-mul (math-sub p 1)
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(math-add 1 rate))
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rate))
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(math-mul (or initial 0) p)))))
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(put 'calcFunc-fvb 'math-expandable t)
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(defun calcFunc-pmt (rate num amount &optional lump)
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(math-check-financial rate num)
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(math-with-extra-prec 2
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(let ((p (math-pow (math-add 1 rate) num)))
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(math-div (math-mul (math-sub amount
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(math-div (or lump 0) p))
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rate)
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(math-sub 1 (math-div 1 p))))))
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(put 'calcFunc-pmt 'math-expandable t)
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(defun calcFunc-pmtb (rate num amount &optional lump)
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(math-check-financial rate num)
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(math-with-extra-prec 2
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(let ((p (math-pow (math-add 1 rate) num)))
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(math-div (math-mul (math-sub amount (math-div (or lump 0) p)) rate)
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(math-mul (math-sub 1 (math-div 1 p))
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(math-add 1 rate))))))
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(put 'calcFunc-pmtb 'math-expandable t)
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(defun calcFunc-nper (rate pmt amount &optional lump)
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(math-compute-nper rate pmt amount lump nil))
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(put 'calcFunc-nper 'math-expandable t)
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(defun calcFunc-nperb (rate pmt amount &optional lump)
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(math-compute-nper rate pmt amount lump 'b))
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(put 'calcFunc-nperb 'math-expandable t)
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(defun calcFunc-nperl (rate pmt amount)
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(math-compute-nper rate pmt amount nil 'l))
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(put 'calcFunc-nperl 'math-expandable t)
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(defun math-compute-nper (rate pmt amount lump bflag)
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(and lump (math-zerop lump)
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(setq lump nil))
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(and lump (math-zerop pmt)
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(setq amount lump
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lump nil
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bflag 'l))
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(or (math-objectp rate) (and math-expand-formulas (null lump))
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(math-reject-arg rate 'numberp))
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(and (math-zerop rate)
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(math-reject-arg rate 'nonzerop))
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(or (math-objectp pmt) (and math-expand-formulas (null lump))
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(math-reject-arg pmt 'numberp))
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(or (math-objectp amount) (and math-expand-formulas (null lump))
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(math-reject-arg amount 'numberp))
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(if lump
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(progn
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(or (math-objectp lump)
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(math-reject-arg lump 'numberp))
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(let ((root (math-find-root (list 'calcFunc-eq
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(list (if bflag
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'calcFunc-pvb
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'calcFunc-pv)
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rate
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'(var DUMMY var-DUMMY)
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pmt
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lump)
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amount)
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'(var DUMMY var-DUMMY)
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'(intv 3 0 100)
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t)))
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(if (math-vectorp root)
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(nth 1 root)
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root)))
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(math-with-extra-prec 2
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(let ((temp (if (eq bflag 'l)
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(math-div amount pmt)
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(math-sub 1 (math-div (math-mul amount rate)
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(if bflag
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(math-mul pmt (math-add 1 rate))
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pmt))))))
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(if (or (math-posp temp) math-expand-formulas)
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(math-neg (calcFunc-log temp (math-add 1 rate)))
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(math-reject-arg pmt "*Payment too small to cover interest rate"))))))
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(defun calcFunc-rate (num pmt amount &optional lump)
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(math-compute-rate num pmt amount lump 'calcFunc-pv))
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(defun calcFunc-rateb (num pmt amount &optional lump)
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(math-compute-rate num pmt amount lump 'calcFunc-pvb))
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(defun math-compute-rate (num pmt amount lump func)
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(or (math-objectp num)
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(math-reject-arg num 'numberp))
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(or (math-objectp pmt)
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(math-reject-arg pmt 'numberp))
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(or (math-objectp amount)
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(math-reject-arg amount 'numberp))
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(or (null lump)
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(math-objectp lump)
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(math-reject-arg lump 'numberp))
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(let ((root (math-find-root (list 'calcFunc-eq
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(list func
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'(var DUMMY var-DUMMY)
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num
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pmt
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(or lump 0))
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amount)
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'(var DUMMY var-DUMMY)
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'(intv 3 (float 1 -4) 1)
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t)))
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(if (math-vectorp root)
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(nth 1 root)
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root)))
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(defun calcFunc-ratel (num pmt amount)
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(or (math-objectp num) math-expand-formulas
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(math-reject-arg num 'numberp))
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(or (math-objectp pmt) math-expand-formulas
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(math-reject-arg pmt 'numberp))
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(or (math-objectp amount) math-expand-formulas
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(math-reject-arg amount 'numberp))
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(math-with-extra-prec 2
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(math-sub (math-pow (math-div pmt amount) (math-div 1 num)) 1)))
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(defun calcFunc-irr (&rest vecs)
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(math-compute-irr vecs 'calcFunc-npv))
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(defun calcFunc-irrb (&rest vecs)
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(math-compute-irr vecs 'calcFunc-npvb))
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(defun math-compute-irr (vecs func)
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(let* ((flat (math-flatten-many-vecs vecs))
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(root (math-find-root (list func
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'(var DUMMY var-DUMMY)
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flat)
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'(var DUMMY var-DUMMY)
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'(intv 3 (float 1 -4) 1)
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t)))
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(if (math-vectorp root)
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(nth 1 root)
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root)))
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(defun math-check-financial (rate num)
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(or (math-objectp rate) math-expand-formulas
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(math-reject-arg rate 'numberp))
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(and (math-zerop rate)
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(math-reject-arg rate 'nonzerop))
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(or (math-objectp num) math-expand-formulas
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(math-reject-arg num 'numberp)))
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(defun calcFunc-sln (cost salvage life &optional period)
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(or (math-realp cost) math-expand-formulas
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(math-reject-arg cost 'realp))
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(or (math-realp salvage) math-expand-formulas
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(math-reject-arg salvage 'realp))
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(or (math-realp life) math-expand-formulas
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(math-reject-arg life 'realp))
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(if (math-zerop life) (math-reject-arg life 'nonzerop))
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(if (and period
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(if (math-num-integerp period)
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(or (Math-lessp life period) (not (math-posp period)))
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(math-reject-arg period 'integerp)))
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0
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(math-div (math-sub cost salvage) life)))
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(put 'calcFunc-sln 'math-expandable t)
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(defun calcFunc-syd (cost salvage life period)
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(or (math-realp cost) math-expand-formulas
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(math-reject-arg cost 'realp))
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(or (math-realp salvage) math-expand-formulas
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(math-reject-arg salvage 'realp))
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(or (math-realp life) math-expand-formulas
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(math-reject-arg life 'realp))
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(if (math-zerop life) (math-reject-arg life 'nonzerop))
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(or (math-realp period) math-expand-formulas
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(math-reject-arg period 'realp))
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(if (or (Math-lessp life period) (not (math-posp period)))
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0
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(math-div (math-mul (math-sub cost salvage)
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(math-add (math-sub life period) 1))
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(math-div (math-mul life (math-add life 1)) 2))))
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(put 'calcFunc-syd 'math-expandable t)
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(defun calcFunc-ddb (cost salvage life period)
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(if (math-messy-integerp period) (setq period (math-trunc period)))
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(or (integerp period) (math-reject-arg period 'fixnump))
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(or (math-realp cost) (math-reject-arg cost 'realp))
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(or (math-realp salvage) (math-reject-arg salvage 'realp))
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(or (math-realp life) (math-reject-arg life 'realp))
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(if (math-zerop life) (math-reject-arg life 'nonzerop))
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(if (or (Math-lessp life period) (<= period 0))
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0
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(let ((book cost)
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(res 0))
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(while (>= (setq period (1- period)) 0)
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(setq res (math-div (math-mul book 2) life)
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book (math-sub book res))
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(if (Math-lessp book salvage)
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(setq res (math-add res (math-sub book salvage))
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book salvage)))
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res)))
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(provide 'calc-fin)
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;;; calc-fin.el ends here
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