blob: a93a57c79ee58a38a4358f2114ed7d2ed44b42f6 (
about) (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
|
;;; calc-fin.el --- financial functions for Calc
;; Copyright (C) 1990-1993, 2001-2013 Free Software Foundation, Inc.
;; Author: David Gillespie <daveg@synaptics.com>
;; Maintainer: Jay Belanger <jay.p.belanger@gmail.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
|
