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;;; calc-fin.el --- financial functions for Calc
;; Copyright (C) 1990-1993, 2001-2016 Free Software Foundation, Inc.
;; Author: David Gillespie <daveg@synaptics.com>
;; This file is part of GNU Emacs.
;; GNU Emacs 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 3 of the License, or
;; (at your option) any later version.
;; GNU Emacs 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 GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
;;; Commentary:
;;; Code:
;; This file is autoloaded from calc-ext.el.
(require 'calc-ext)
(require 'calc-macs)
;;; Financial functions.
(defun calc-fin-pv ()
(interactive)
(calc-slow-wrapper
(if (calc-is-hyperbolic)
(calc-enter-result 3 "pvl" (cons 'calcFunc-pvl (calc-top-list-n 3)))
(if (calc-is-inverse)
(calc-enter-result 3 "pvb" (cons 'calcFunc-pvb (calc-top-list-n 3)))
(calc-enter-result 3 "pv" (cons 'calcFunc-pv (calc-top-list-n 3)))))))
(defun calc-fin-npv (arg)
(interactive "p")
(calc-slow-wrapper
(if (calc-is-inverse)
(calc-vector-op "npvb" 'calcFunc-npvb (1+ arg))
(calc-vector-op "npv" 'calcFunc-npv (1+ arg)))))
(defun calc-fin-fv ()
(interactive)
(calc-slow-wrapper
(if (calc-is-hyperbolic)
(calc-enter-result 3 "fvl" (cons 'calcFunc-fvl (calc-top-list-n 3)))
(if (calc-is-inverse)
(calc-enter-result 3 "fvb" (cons 'calcFunc-fvb (calc-top-list-n 3)))
(calc-enter-result 3 "fv" (cons 'calcFunc-fv (calc-top-list-n 3)))))))
(defun calc-fin-pmt ()
(interactive)
(calc-slow-wrapper
(if (calc-is-hyperbolic)
(calc-enter-result 3 "fvl" (cons 'calcFunc-fvl (calc-top-list-n 3)))
(if (calc-is-inverse)
(calc-enter-result 3 "pmtb" (cons 'calcFunc-pmtb (calc-top-list-n 3)))
(calc-enter-result 3 "pmt" (cons 'calcFunc-pmt (calc-top-list-n 3)))))))
(defun calc-fin-nper ()
(interactive)
(calc-slow-wrapper
(if (calc-is-hyperbolic)
(calc-enter-result 3 "nprl" (cons 'calcFunc-nperl (calc-top-list-n 3)))
(if (calc-is-inverse)
(calc-enter-result 3 "nprb" (cons 'calcFunc-nperb
(calc-top-list-n 3)))
(calc-enter-result 3 "nper" (cons 'calcFunc-nper
(calc-top-list-n 3)))))))
(defun calc-fin-rate ()
(interactive)
(calc-slow-wrapper
(calc-pop-push-record 3
(if (calc-is-hyperbolic) "ratl"
(if (calc-is-inverse) "ratb" "rate"))
(calc-to-percentage
(calc-normalize
(cons (if (calc-is-hyperbolic) 'calcFunc-ratel
(if (calc-is-hyperbolic) 'calcFunc-rateb
'calcFunc-rate))
(calc-top-list-n 3)))))))
(defun calc-fin-irr (arg)
(interactive "P")
(calc-slow-wrapper
(if (calc-is-inverse)
(calc-vector-op "irrb" 'calcFunc-irrb arg)
(calc-vector-op "irr" 'calcFunc-irr arg))))
(defun calc-fin-sln ()
(interactive)
(calc-slow-wrapper
(calc-enter-result 3 "sln" (cons 'calcFunc-sln (calc-top-list-n 3)))))
(defun calc-fin-syd ()
(interactive)
(calc-slow-wrapper
(calc-enter-result 4 "syd" (cons 'calcFunc-syd (calc-top-list-n 4)))))
(defun calc-fin-ddb ()
(interactive)
(calc-slow-wrapper
(calc-enter-result 4 "ddb" (cons 'calcFunc-ddb (calc-top-list-n 4)))))
(defun calc-to-percentage (x)
(cond ((Math-objectp x)
(setq x (math-mul x 100))
(if (Math-num-integerp x)
(setq x (math-trunc x)))
(list 'calcFunc-percent x))
((Math-vectorp x)
(cons 'vec (mapcar 'calc-to-percentage (cdr x))))
(t x)))
(defun calc-convert-percent ()
(interactive)
(calc-slow-wrapper
(calc-pop-push-record 1 "c%" (calc-to-percentage (calc-top-n 1)))))
(defun calc-percent-change ()
(interactive)
(calc-slow-wrapper
(let ((res (calc-normalize (cons 'calcFunc-relch (calc-top-list 2)))))
(calc-pop-push-record 2 "%ch" (calc-to-percentage res)))))
;;; Financial functions.
(defun calcFunc-pv (rate num amount &optional lump)
(math-check-financial rate num)
(math-with-extra-prec 2
(let ((p (math-pow (math-add 1 rate) num)))
(math-add (math-mul amount
(math-div (math-sub 1 (math-div 1 p))
rate))
(math-div (or lump 0) p)))))
(put 'calcFunc-pv 'math-expandable t)
(defun calcFunc-pvl (rate num amount)
(calcFunc-pv rate num 0 amount))
(put 'calcFunc-pvl 'math-expandable t)
(defun calcFunc-pvb (rate num amount &optional lump)
(math-check-financial rate num)
(math-with-extra-prec 2
(let* ((p (math-pow (math-add 1 rate) num)))
(math-add (math-mul amount
(math-div (math-mul (math-sub 1 (math-div 1 p))
(math-add 1 rate))
rate))
(math-div (or lump 0) p)))))
(put 'calcFunc-pvb 'math-expandable t)
(defun calcFunc-npv (rate &rest flows)
(math-check-financial rate 1)
(math-with-extra-prec 2
(let* ((flat (math-flatten-many-vecs flows))
(pp (math-add 1 rate))
(p pp)
(accum 0))
(while (setq flat (cdr flat))
(setq accum (math-add accum (math-div (car flat) p))
p (math-mul p pp)))
accum)))
(put 'calcFunc-npv 'math-expandable t)
(defun calcFunc-npvb (rate &rest flows)
(math-check-financial rate 1)
(math-with-extra-prec 2
(let* ((flat (math-flatten-many-vecs flows))
(pp (math-add 1 rate))
(p 1)
(accum 0))
(while (setq flat (cdr flat))
(setq accum (math-add accum (math-div (car flat) p))
p (math-mul p pp)))
accum)))
(put 'calcFunc-npvb 'math-expandable t)
(defun calcFunc-fv (rate num amount &optional initial)
(math-check-financial rate num)
(math-with-extra-prec 2
(let ((p (math-pow (math-add 1 rate) num)))
(math-add (math-mul amount
(math-div (math-sub p 1)
rate))
(math-mul (or initial 0) p)))))
(put 'calcFunc-fv 'math-expandable t)
(defun calcFunc-fvl (rate num amount)
(calcFunc-fv rate num 0 amount))
(put 'calcFunc-fvl 'math-expandable t)
(defun calcFunc-fvb (rate num amount &optional initial)
(math-check-financial rate num)
(math-with-extra-prec 2
(let ((p (math-pow (math-add 1 rate) num)))
(math-add (math-mul amount
(math-div (math-mul (math-sub p 1)
(math-add 1 rate))
rate))
(math-mul (or initial 0) p)))))
(put 'calcFunc-fvb 'math-expandable t)
(defun calcFunc-pmt (rate num amount &optional lump)
(math-check-financial rate num)
(math-with-extra-prec 2
(let ((p (math-pow (math-add 1 rate) num)))
(math-div (math-mul (math-sub amount
(math-div (or lump 0) p))
rate)
(math-sub 1 (math-div 1 p))))))
(put 'calcFunc-pmt 'math-expandable t)
(defun calcFunc-pmtb (rate num amount &optional lump)
(math-check-financial rate num)
(math-with-extra-prec 2
(let ((p (math-pow (math-add 1 rate) num)))
(math-div (math-mul (math-sub amount (math-div (or lump 0) p)) rate)
(math-mul (math-sub 1 (math-div 1 p))
(math-add 1 rate))))))
(put 'calcFunc-pmtb 'math-expandable t)
(defun calcFunc-nper (rate pmt amount &optional lump)
(math-compute-nper rate pmt amount lump nil))
(put 'calcFunc-nper 'math-expandable t)
(defun calcFunc-nperb (rate pmt amount &optional lump)
(math-compute-nper rate pmt amount lump 'b))
(put 'calcFunc-nperb 'math-expandable t)
(defun calcFunc-nperl (rate pmt amount)
(math-compute-nper rate pmt amount nil 'l))
(put 'calcFunc-nperl 'math-expandable t)
(defun math-compute-nper (rate pmt amount lump bflag)
(and lump (math-zerop lump)
(setq lump nil))
(and lump (math-zerop pmt)
(setq amount lump
lump nil
bflag 'l))
(or (math-objectp rate) (and math-expand-formulas (null lump))
(math-reject-arg rate 'numberp))
(and (math-zerop rate)
(math-reject-arg rate 'nonzerop))
(or (math-objectp pmt) (and math-expand-formulas (null lump))
(math-reject-arg pmt 'numberp))
(or (math-objectp amount) (and math-expand-formulas (null lump))
(math-reject-arg amount 'numberp))
(if lump
(progn
(or (math-objectp lump)
(math-reject-arg lump 'numberp))
(let ((root (math-find-root (list 'calcFunc-eq
(list (if bflag
'calcFunc-pvb
'calcFunc-pv)
rate
'(var DUMMY var-DUMMY)
pmt
lump)
amount)
'(var DUMMY var-DUMMY)
'(intv 3 0 100)
t)))
(if (math-vectorp root)
(nth 1 root)
root)))
(math-with-extra-prec 2
(let ((temp (if (eq bflag 'l)
(math-div amount pmt)
(math-sub 1 (math-div (math-mul amount rate)
(if bflag
(math-mul pmt (math-add 1 rate))
pmt))))))
(if (or (math-posp temp) math-expand-formulas)
(math-neg (calcFunc-log temp (math-add 1 rate)))
(math-reject-arg pmt "*Payment too small to cover interest rate"))))))
(defun calcFunc-rate (num pmt amount &optional lump)
(math-compute-rate num pmt amount lump 'calcFunc-pv))
(defun calcFunc-rateb (num pmt amount &optional lump)
(math-compute-rate num pmt amount lump 'calcFunc-pvb))
(defun math-compute-rate (num pmt amount lump func)
(or (math-objectp num)
(math-reject-arg num 'numberp))
(or (math-objectp pmt)
(math-reject-arg pmt 'numberp))
(or (math-objectp amount)
(math-reject-arg amount 'numberp))
(or (null lump)
(math-objectp lump)
(math-reject-arg lump 'numberp))
(let ((root (math-find-root (list 'calcFunc-eq
(list func
'(var DUMMY var-DUMMY)
num
pmt
(or lump 0))
amount)
'(var DUMMY var-DUMMY)
'(intv 3 (float 1 -4) 1)
t)))
(if (math-vectorp root)
(nth 1 root)
root)))
(defun calcFunc-ratel (num pmt amount)
(or (math-objectp num) math-expand-formulas
(math-reject-arg num 'numberp))
(or (math-objectp pmt) math-expand-formulas
(math-reject-arg pmt 'numberp))
(or (math-objectp amount) math-expand-formulas
(math-reject-arg amount 'numberp))
(math-with-extra-prec 2
(math-sub (math-pow (math-div pmt amount) (math-div 1 num)) 1)))
(defun calcFunc-irr (&rest vecs)
(math-compute-irr vecs 'calcFunc-npv))
(defun calcFunc-irrb (&rest vecs)
(math-compute-irr vecs 'calcFunc-npvb))
(defun math-compute-irr (vecs func)
(let* ((flat (math-flatten-many-vecs vecs))
(root (math-find-root (list func
'(var DUMMY var-DUMMY)
flat)
'(var DUMMY var-DUMMY)
'(intv 3 (float 1 -4) 1)
t)))
(if (math-vectorp root)
(nth 1 root)
root)))
(defun math-check-financial (rate num)
(or (math-objectp rate) math-expand-formulas
(math-reject-arg rate 'numberp))
(and (math-zerop rate)
(math-reject-arg rate 'nonzerop))
(or (math-objectp num) math-expand-formulas
(math-reject-arg num 'numberp)))
(defun calcFunc-sln (cost salvage life &optional period)
(or (math-realp cost) math-expand-formulas
(math-reject-arg cost 'realp))
(or (math-realp salvage) math-expand-formulas
(math-reject-arg salvage 'realp))
(or (math-realp life) math-expand-formulas
(math-reject-arg life 'realp))
(if (math-zerop life) (math-reject-arg life 'nonzerop))
(if (and period
(if (math-num-integerp period)
(or (Math-lessp life period) (not (math-posp period)))
(math-reject-arg period 'integerp)))
0
(math-div (math-sub cost salvage) life)))
(put 'calcFunc-sln 'math-expandable t)
(defun calcFunc-syd (cost salvage life period)
(or (math-realp cost) math-expand-formulas
(math-reject-arg cost 'realp))
(or (math-realp salvage) math-expand-formulas
(math-reject-arg salvage 'realp))
(or (math-realp life) math-expand-formulas
(math-reject-arg life 'realp))
(if (math-zerop life) (math-reject-arg life 'nonzerop))
(or (math-realp period) math-expand-formulas
(math-reject-arg period 'realp))
(if (or (Math-lessp life period) (not (math-posp period)))
0
(math-div (math-mul (math-sub cost salvage)
(math-add (math-sub life period) 1))
(math-div (math-mul life (math-add life 1)) 2))))
(put 'calcFunc-syd 'math-expandable t)
(defun calcFunc-ddb (cost salvage life period)
(if (math-messy-integerp period) (setq period (math-trunc period)))
(or (integerp period) (math-reject-arg period 'fixnump))
(or (math-realp cost) (math-reject-arg cost 'realp))
(or (math-realp salvage) (math-reject-arg salvage 'realp))
(or (math-realp life) (math-reject-arg life 'realp))
(if (math-zerop life) (math-reject-arg life 'nonzerop))
(if (or (Math-lessp life period) (<= period 0))
0
(let ((book cost)
(res 0))
(while (>= (setq period (1- period)) 0)
(setq res (math-div (math-mul book 2) life)
book (math-sub book res))
(if (Math-lessp book salvage)
(setq res (math-add res (math-sub book salvage))
book salvage)))
res)))
(provide 'calc-fin)
;;; calc-fin.el ends here
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