Tablas de interes y anualidades para capitalización continua y discreta
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Transcript of Tablas de interes y anualidades para capitalización continua y discreta
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7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
1/23
A P N D I C E
C
Tablas de intersy anualidades paracapitalizacin discreta
665
4 % hasta 25%
i = tasa efectiva de inters por p eriodo (por lo general un ao)
N = n meros d e periodos d e capitalizacin
( F / P , i %, N ) = (1 + i )N ( A / F , i %, N ) = i
(1 + i )N 1
( P / F , i %, N ) =1
(1 + i )N ( A / P , i %, N ) =
i (1 + i )N
(1 + i )N 1
( F / A , i %, N ) = (1 + i )N 1
i (P/ G, i %, N ) =
1
i
(1 + i )N 1
i (1 + i )N
N
(1 + i )N
( P / A , i %, N ) = (1 + i )N 1
i (1 + i )N (A/ G, i %, N ) = 1
i N
(1 + i )N 1
Para d iferentes valores de i, desde 14
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7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
2/23
1
1.0
025
0.9
975
1.0
000
0.9
975
1.0
000
1.0
025
0.0
00
0.0
000
1
2
1.0
050
0.9
950
2.0
025
1.9
925
0.4
994
0.5
019
0.9
95
0.4
994
2
3
1.0
075
0.9
925
3.0
075
2.9
851
0.3
325
0.3
350
2.9
80
0.9
983
3
4
1.0
100
0.9
901
4.0
150
3.9
751
0.2
491
0.2
516
5.9
50
1.4
969
4
5
1.0
126
0.9
876
5.0
251
4.9
627
0.1
990
0.2
015
9.9
01
1.9
950
5
6
1.0
151
0.9
851
6.0
376
5.9
478
0.1
656
0.1
681
14.8
26
2.4
927
6
7
1.0
176
0.9
827
7.0
527
6.9
305
0.1
418
0.1
443
20.7
22
2.9
900
7
8
1.0
202
0.9
802
8.0
704
7.9
107
0.1
239
0.1
264
27.5
84
3.4
869
8
9
1.0
227
0.9
778
9.0
905
8.8
885
0.1
100
0.1
125
35.4
06
3.9
834
9
10
1.0
253
0.9
753
10.1
133
9.8
639
0.0
989
0.1
014
44.1
84
4.4
794
10
11
1.0
278
0.9
729
11.1
385
10.8
368
0.0
898
0.0
923
53.9
13
4.9
750
11
12
1.0
304
0.9
705
12.1
664
11.8
073
0.0
822
0.0
847
64.5
89
5.4
702
12
13
1.0
330
0.9
681
13.1
968
12.7
753
0.0
758
0.0
783
76.2
05
5.9
650
13
14
1.0
356
0.9
656
14.2
298
13.7
410
0.0
703
0.0
728
88.7
59
6.4
594
14
15
1.0
382
0.9
632
15.2
654
14.7
042
0.0
655
0.0
680
102.2
44
6.9
534
15
16
1.0
408
0.9
608
16.3
035
15.6
650
0.0
613
0.0
638
116.6
57
7.4
469
16
17
1.0
434
0.9
584
17.3
443
16.6
235
0.0
577
0.0
602
131.9
92
7.9
401
17
18
1.0
460
0.9
561
18.3
876
17.5
795
0.0
544
0.0
569
148.2
45
8.4
328
18
19
1.0
486
0.9
537
19.4
336
18.5
332
0.0
515
0.0
540
165.4
11
8.9
251
19
20
1.0
512
0.9
513
20.4
822
19.4
845
0.0
488
0.0
513
183.4
85
9.4
170
20
21
1.0
538
0.9
489
21.5
334
20.4
334
0.0
464
0.0
489
202.4
63
9.9
085
21
22
1.0
565
0.9
466
22.5
872
21.3
800
0.0
443
0.0
468
222.3
41
10.3
995
22
23
1.0
591
0.9
442
23.6
437
22.3
241
0.0
423
0.0
448
243.1
13
10.8
901
23
24
1.0
618
0.9
418
24.7
028
23.2
660
0.0
405
0.0
430
264.7
75
11.3
804
24
25
1.0
644
0.9
395
25.7
646
24.2
055
0.0
388
0.0
413
287.3
23
11.8
702
25
30
1.0
778
0.9
278
31.1
133
28.8
679
0.0
321
0.0
346
413.1
85
14.3
130
30
36
1.0
941
0.9
140
37.6
206
34.3
865
0.0
266
0.0
291
592.4
99
17.2
306
36
40
1.1
050
0.9
050
42.0
132
38.0
199
0.0
238
0.0
263
728.7
40
19.1
673
40
48
1.1
273
0.8
871
50.9
312
45.1
787
0.0
196
0.0
221
1040.0
55
23.0
209
48
60
1.1
616
0.8
609
64.6
467
55.6
524
0.0
155
0.0
180
1600.0
85
28.7
514
60
72
1.1
969
0.8
355
78.7
794
65.8
169
0.0
127
0.0
152
2265.5
57
34.4
221
72
84
1.2
334
0.8
108
93.3
419
75.6
813
0.0
107
0.0
132
3029.7
59
40.0
331
84
100
1.2
836
0.7
790
113.4
500
88.3
825
0.0
088
0.0
113
4191.2
42
47.4
216
100
400.0
000
0.0
025
T
ablaC.1
Composicindiscreta;
i
=14
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
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7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
3/23
1
1.0
050
0.9
950
1.0
000
0.9
950
1.0
000
1.0
050
0.0
00
0.0
000
1
2
1.0
100
0.9
901
2.0
050
1.9
851
0.4
988
0.5
038
0.9
90
0.4
988
2
3
1.0
151
0.9
851
3.0
150
2.9
702
0.3
317
0.3
367
2.9
60
0.9
967
3
4
1.0
202
0.9
802
4.0
301
3.9
505
0.2
481
0.2
531
5.9
01
1.4
938
4
5
1.0
253
0.9
754
5.0
503
4.9
259
0.1
980
0.2
030
9.8
03
1.9
900
5
6
1.0
304
0.9
705
6.0
755
5.8
964
0.1
646
0.1
696
14.6
55
2.4
855
6
7
1.0
355
0.9
657
7.1
059
6.8
621
0.1
407
0.1
457
20.4
49
2.9
801
7
8
1.0
407
0.9
609
8.1
414
7.8
230
0.1
228
0.1
278
27.1
76
3.4
738
8
9
1.0
459
0.9
561
9.1
821
8.7
791
0.1
089
0.1
139
34.8
24
3.9
668
9
10
1.0
511
0.9
513
10.2
280
9.7
304
0.0
978
0.1
028
43.3
87
4.4
589
10
11
1.0
564
0.9
466
11.2
792
10.6
770
0.0
887
0.0
937
52.8
53
4.9
501
11
12
1.0
617
0.9
419
12.3
356
11.6
189
0.0
811
0.0
861
63.2
14
5.4
406
12
13
1.0
670
0.9
372
13.3
972
12.5
562
0.0
746
0.0
796
74.4
60
5.9
302
13
14
1.0
723
0.9
326
14.4
642
13.4
887
0.0
691
0.0
741
86.5
84
6.4
190
14
15
1.0
777
0.9
279
15.5
365
14.4
166
0.0
644
0.0
694
99.5
74
6.9
069
15
16
1.0
831
0.9
233
16.6
142
15.3
399
0.0
602
0.0
652
113.4
24
7.3
940
16
17
1.0
885
0.9
187
17.6
973
16.2
586
0.0
565
0.0
615
128.1
23
7.8
803
17
18
1.0
939
0.9
141
18.7
858
17.1
728
0.0
532
0.0
582
143.6
63
8.3
658
18
19
1.0
994
0.9
096
19.8
797
18.0
824
0.0
503
0.0
553
160.0
36
8.8
504
19
20
1.1
049
0.9
051
20.9
791
18.9
874
0.0
477
0.0
527
177.2
32
9.3
342
20
21
1.1
104
0.9
006
22.0
840
19.8
880
0.0
453
0.0
503
195.2
43
9.8
172
21
22
1.1
160
0.8
961
23.1
944
20.7
841
0.0
431
0.0
481
214.0
61
10.2
993
22
23
1.1
216
0.8
916
24.3
104
21.6
757
0.0
411
0.0
461
233.6
77
10.7
806
23
24
1.1
272
0.8
872
25.4
320
22.5
629
0.0
393
0.0
443
254.0
82
11.2
611
24
25
1.1
328
0.8
828
26.5
591
23.4
456
0.0
377
0.0
427
275.2
69
11.7
407
25
30
1.1
614
0.8
610
32.2
800
27.7
941
0.0
310
0.0
360
392.6
32
14.1
265
30
36
1.1
967
0.8
356
39.3
361
32.8
710
0.0
254
0.0
304
557.5
60
16.9
621
36
40
1.2
208
0.8
191
44.1
588
36.1
722
0.0
226
0.0
276
681.3
35
18.8
359
40
48
1.2
705
0.7
871
54.0
978
42.5
803
0.0
185
0.0
235
959.9
19
22.5
437
48
60
1.3
489
0.7
414
69.7
700
51.7
256
0.0
143
0.0
193
1448.6
46
28.0
064
60
72
1.4
320
0.6
983
86.4
089
60.3
395
0.0
116
0.0
166
2012.3
48
33.3
504
72
84
1.5
204
0.6
577
104.0
739
68.4
530
0.0
096
0.0
146
2640.6
64
38.5
763
84
100
1.6
467
0.6
073
129.3
337
78.5
426
0.0
077
0.0
127
3562.7
93
45.3
613
100
200.0
000
0.0
050
T
ablaC.2
Composicindiscreta;
i
=12
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
4/23
1
1.0
075
0.9
926
1.0
000
0.9
926
1.0
000
1.0
075
0.0
00
0.0
000
1
2
1.0
151
0.9
852
2.0
075
1.9
777
0.4
981
0.5
056
0.9
85
0.4
981
2
3
1.0
227
0.9
778
3.0
226
2.9
556
0.3
308
0.3
383
2.9
41
0.9
950
3
4
1.0
303
0.9
706
4.0
452
3.9
261
0.2
472
0.2
547
5.8
53
1.4
907
4
5
1.0
381
0.9
633
5.0
756
4.8
894
0.1
970
0.2
045
9.7
06
1.9
851
5
6
1.0
459
0.9
562
6.1
136
5.8
456
0.1
636
0.1
711
14.4
87
2.4
782
6
7
1.0
537
0.9
490
7.1
595
6.7
946
0.1
397
0.1
472
20.1
81
2.9
701
7
8
1.0
616
0.9
420
8.2
132
7.7
366
0.1
218
0.1
293
26.7
75
3.4
608
8
9
1.0
696
0.9
350
9.2
748
8.6
716
0.1
078
0.1
153
34.2
54
3.9
502
9
10
1.0
776
0.9
280
10.3
443
9.5
996
0.0
967
0.1
042
42.6
06
4.4
384
10
11
1.0
857
0.9
211
11.4
219
10.5
207
0.0
876
0.0
951
51.8
17
4.9
253
11
12
1.0
938
0.9
142
12.5
076
11.4
349
0.0
800
0.0
875
61.8
74
5.4
110
12
13
1.1
020
0.9
074
13.6
014
12.3
423
0.0
735
0.0
810
72.7
63
5.8
954
13
14
1.1
103
0.9
007
14.7
034
13.2
430
0.0
680
0.0
755
84.4
72
6.3
786
14
15
1.1
186
0.8
940
15.8
137
14.1
370
0.0
632
0.0
707
96.9
88
6.8
606
15
16
1.1
270
0.8
873
16.9
323
15.0
243
0.0
591
0.0
666
110.2
97
7.3
413
16
17
1.1
354
0.8
807
18.0
593
15.9
050
0.0
554
0.0
629
124.3
89
7.8
207
17
18
1.1
440
0.8
742
19.1
947
16.7
792
0.0
521
0.0
596
139.2
49
8.2
989
18
19
1.1
525
0.8
676
20.3
387
17.6
468
0.0
492
0.0
567
154.8
67
8.7
759
19
20
1.1
612
0.8
612
21.4
912
18.5
080
0.0
465
0.0
540
171.2
30
9.2
516
20
21
1.1
699
0.8
548
22.6
524
19.3
628
0.0
441
0.0
516
188.3
25
9.7
261
21
22
1.1
787
0.8
484
23.8
223
20.2
112
0.0
420
0.0
495
206.1
42
10.1
994
22
23
1.1
875
0.8
421
25.0
010
21.0
533
0.0
400
0.0
475
224.6
68
10.6
714
23
24
1.1
964
0.8
358
26.1
885
21.8
891
0.0
382
0.0
457
243.8
92
11.1
422
24
25
1.2
054
0.8
296
27.3
849
22.7
188
0.0
365
0.0
440
263.8
03
11.6
117
25
30
1.2
513
0.7
992
33.5
029
26.7
751
0.0
298
0.0
373
373.2
63
13.9
407
30
36
1.3
086
0.7
641
41.1
527
34.4
468
0.0
243
0.0
318
524.9
92
16.6
946
36
40
1.3
483
0.7
416
46.4
464
34.4
469
0.0
215
0.0
290
637.4
69
18.5
058
40
48
1.4
314
0.6
986
57.5
207
40.1
848
0.0
174
0.0
249
886.8
40
22.0
691
48
60
1.5
657
0.6
387
75.4
241
48.1
734
0.0
133
0.0
208
1313.5
19
27.2
665
60
72
1.7
126
0.5
839
95.0
070
55.4
768
0.0
105
0.0
180
1791.2
46
32.2
882
72
84
1.8
732
0.5
338
116.4
269
62.1
540
0.0
086
0.0
161
2308.1
28
37.1
357
84
100
2.1
111
0.4
737
148.1
445
70.1
746
0.0
068
0.0
143
3040.7
45
43.3
311
100
133.3
333
0.0
075
T
ablaC.3
Composicindiscreta;
i
=34
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
5/23
1
1.0
100
0.9
901
1.0
000
0.9
901
1.0
000
1.0
100
0.0
00
0.0
000
1
2
1.0
201
0.9
803
2.0
100
1.9
704
0.4
975
0.5
075
0.9
80
0.4
975
2
3
1.0
303
0.9
706
3.0
301
2.9
410
0.3
300
0.3
400
2.9
22
0.9
934
3
4
1.0
406
0.9
610
4.0
604
3.9
020
0.2
463
0.2
563
5.8
04
1.4
876
4
5
1.0
510
0.9
515
5.1
010
4.8
534
0.1
960
0.2
060
9.6
10
1.9
801
5
6
1.0
615
0.9
420
6.1
520
5.7
955
0.1
625
0.1
725
14.3
21
2.4
710
6
7
1.0
721
0.9
327
7.2
135
6.7
282
0.1
386
0.1
486
19.9
17
2.9
602
7
8
1.0
829
0.9
235
8.2
857
7.6
517
0.1
207
0.1
307
26.3
81
3.4
478
8
9
1.0
937
0.9
143
9.3
685
8.5
660
0.1
067
0.1
167
33.6
96
3.9
337
9
10
1.1
046
0.9
053
10.4
622
9.4
713
0.0
956
0.1
056
41.8
44
4.4
179
10
11
1.1
157
0.8
963
11.5
668
10.3
676
0.0
865
0.0
965
50.8
07
4.9
005
11
12
1.1
268
0.8
874
12.6
825
11.2
551
0.0
788
0.0
888
60.5
69
5.3
815
12
13
1.1
381
0.8
787
13.8
093
12.1
337
0.0
724
0.0
824
71.1
13
5.8
607
13
14
1.1
495
0.8
700
14.9
474
13.0
037
0.0
669
0.0
769
82.4
22
6.3
384
14
15
1.1
610
0.8
613
16.0
969
13.8
651
0.0
621
0.0
721
94.4
81
6.8
143
15
16
1.1
726
0.8
528
17.2
579
14.7
179
0.0
579
0.0
679
107.2
73
7.2
886
16
17
1.1
843
0.8
444
18.4
304
15.5
623
0.0
543
0.0
643
120.7
83
7.7
613
17
18
1.1
961
0.8
360
19.6
147
16.3
983
0.0
510
0.0
610
134.9
96
8.2
323
18
19
1.2
081
0.8
277
20.8
109
17.2
260
0.0
481
0.0
581
149.8
95
8.7
017
19
20
1.2
202
0.8
195
22.0
190
18.0
456
0.0
454
0.0
554
165.4
66
9.1
694
20
21
1.2
324
0.8
114
23.2
392
18.8
570
0.0
430
0.0
530
181.6
95
9.6
354
21
22
1.2
447
0.8
034
24.4
716
19.6
604
0.0
409
0.0
509
198.5
66
10.0
998
22
23
1.2
572
0.7
954
25.7
163
20.4
558
0.0
389
0.0
489
216.0
66
10.5
626
23
24
1.2
697
0.7
876
26.9
734
21.2
434
0.0
371
0.0
471
234.1
80
11.0
237
24
25
1.2
824
0.7
798
28.2
432
22.0
232
0.0
354
0.0
454
252.8
95
11.4
831
25
30
1.3
478
0.7
419
34.7
849
25.8
077
0.0
287
0.0
387
355.0
02
13.7
557
30
36
1.4
308
0.6
989
43.0
769
30.1
075
0.0
232
0.0
332
494.6
21
16.4
285
36
40
1.4
889
0.6
717
48.8
863
32.8
346
0.0
205
0.0
305
596.8
56
18.1
776
40
48
1.6
122
0.6
203
61.2
226
37.9
740
0.0
163
0.0
263
820.1
46
21.5
976
48
60
1.8
167
0.5
504
81.6
697
44.9
550
0.0
122
0.0
222
1192.8
06
26.5
333
60
72
2.0
471
0.4
885
104.7
099
51.1
504
0.0
096
0.0
196
1597.8
67
31.2
386
72
84
2.3
067
0.4
335
130.6
723
56.6
485
0.0
077
0.0
177
2023.3
15
35.7
170
84
100
2.7
048
0.3
697
170.4
814
63.0
289
0.0
059
0.0
159
2605.7
76
41.3
426
100
100.0
000
0.0
100
T
ablaC.4
Composicindiscreta;
i
=1
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
6/23
1
1.0
200
0.9
804
1.0
000
0.9
804
1.0
000
1.0
200
0.0
00
0.0
000
1
2
1.0
404
0.9
612
2.0
200
1.9
416
0.4
950
0.5
150
0.9
61
0.4
950
2
3
1.0
612
0.9
423
3.0
604
2.8
839
0.3
268
0.3
468
2.8
46
0.9
868
3
4
1.0
824
0.9
238
4.1
216
3.8
077
0.2
426
0.2
626
5.6
17
1.4
752
4
5
1.1
041
0.9
057
5.2
040
4.7
135
0.1
922
0.2
122
9.2
40
1.9
604
5
6
1.1
262
0.8
880
6.3
081
5.6
014
0.1
585
0.1
785
13.6
80
2.4
423
6
7
1.1
487
0.8
706
7.4
343
6.4
720
0.1
345
0.1
545
18.9
04
2.9
208
7
8
1.1
717
0.8
535
8.5
830
7.3
255
0.1
165
0.1
365
24.8
78
3.3
961
8
9
1.1
951
0.8
368
9.7
546
8.1
622
0.1
025
0.1
225
31.5
72
3.8
681
9
10
1.2
190
0.8
203
10.9
497
8.9
826
0.0
913
0.1
113
38.9
55
4.3
367
10
11
1.2
434
0.8
043
12.1
687
9.7
868
0.0
822
0.1
022
46.9
98
4.8
021
11
12
1.2
682
0.7
885
13.4
121
10.5
753
0.0
746
0.0
946
55.6
71
5.2
642
12
13
1.2
936
0.7
730
14.6
803
11.3
484
0.0
681
0.0
881
64.9
48
5.7
231
13
14
1.3
195
0.7
579
15.9
739
12.1
062
0.0
626
0.0
826
74.8
00
6.1
786
14
15
1.3
459
0.7
430
17.2
934
12.8
493
0.0
578
0.0
778
85.2
02
6.6
309
15
16
1.3
728
0.7
284
18.6
393
13.5
777
0.0
537
0.0
737
96.1
29
7.0
799
16
17
1.4
002
0.7
142
20.0
121
14.2
919
0.0
500
0.0
700
107.5
55
7.5
256
17
18
1.4
282
0.7
002
21.4
123
14.9
920
0.0
467
0.0
667
119.4
58
7.9
681
18
19
1.4
568
0.6
864
22.8
406
15.6
785
0.0
438
0.0
638
131.8
14
8.4
073
19
20
1.4
859
0.6
730
24.2
974
16.3
514
0.0
412
0.0
612
144.6
00
8.8
433
20
21
1.5
157
0.6
598
25.7
833
17.0
112
0.0
388
0.0
588
157.7
96
9.2
760
21
22
1.5
460
0.6
468
27.2
990
17.6
580
0.0
366
0.0
566
171.3
80
9.7
055
22
23
1.5
769
0.6
342
28.8
450
18.2
922
0.0
347
0.0
547
185.3
31
10.1
317
23
24
1.6
084
0.6
217
30.4
219
18.9
139
0.0
329
0.0
529
199.6
31
10.5
547
24
25
1.6
406
0.6
095
32.0
303
19.5
235
0.0
312
0.0
512
214.2
59
10.9
745
25
30
1.8
114
0.5
521
40.5
681
22.3
965
0.0
246
0.0
446
291.7
16
13.0
251
30
36
2.0
399
0.4
902
51.9
944
25.4
888
0.0
192
0.0
392
392.0
41
15.3
809
36
40
2.2
080
0.4
529
60.4
020
27.3
555
0.0
166
0.0
366
461.9
93
16.8
885
40
48
2.5
871
0.3
865
79.3
535
30.6
731
0.0
126
0.0
326
605.9
66
19.7
556
48
60
3.2
810
0.3
048
114.0
515
34.7
609
0.0
088
0.0
288
823.6
98
23.6
961
60
72
4.1
611
0.2
403
158.0
570
37.9
841
0.0
063
0.0
263
1034.0
56
27.2
234
72
84
5.2
773
0.1
895
213.8
666
40.5
255
0.0
047
0.0
247
1230.4
19
30.3
616
84
100
7.2
446
0.1
380
312.2
323
43.0
984
0.0
032
0.0
232
1464.7
53
33.9
863
100
50.0
000
0.0
200
T
ablaC.5
Composicindiscreta;
i
=2
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
7/23
1
1.0
300
0.9
709
1.0
000
0.9
709
1.0
000
1.0
300
0.0
00
0.0
000
1
2
1.0
609
0.9
426
2.0
300
1.9
135
0.4
926
0.5
226
0.9
43
0.4
926
2
3
1.0
927
0.9
151
3.0
909
2.8
286
0.3
235
0.3
535
2.7
73
0.9
803
3
4
1.1
255
0.8
885
4.1
836
3.7
171
0.2
390
0.2
690
5.4
38
1.4
631
4
5
1.1
593
0.8
626
5.3
091
4.5
797
0.1
884
0.2
184
8.8
89
1.9
409
5
6
1.1
941
0.8
375
6.4
684
5.4
172
0.1
546
0.1
846
13.0
76
2.4
138
6
7
1.2
299
0.8
131
7.6
625
6.2
303
0.1
305
0.1
605
17.9
55
2.8
819
7
8
1.2
668
0.7
894
8.8
923
7.0
197
0.1
125
0.1
425
23.4
81
3.3
450
8
9
1.3
048
0.7
664
10.1
591
7.7
861
0.0
984
0.1
284
29.6
12
3.8
032
9
10
1.3
439
0.7
441
11.4
639
8.5
302
0.0
872
0.1
172
36.3
09
4.2
565
10
11
1.3
842
0.7
224
12.8
078
9.2
526
0.0
781
0.1
081
43.5
33
4.7
049
11
12
1.4
258
0.7
014
14.1
920
9.9
540
0.0
705
0.1
005
51.2
48
5.1
485
12
13
1.4
685
0.6
810
15.6
178
10.6
350
0.0
640
0.0
940
59.4
20
5.5
872
13
14
1.5
126
0.6
611
17.0
863
11.2
961
0.0
585
0.0
885
68.0
14
6.0
210
14
15
1.5
580
0.6
419
18.5
989
11.9
379
0.0
538
0.0
838
77.0
00
6.4
500
15
16
1.6
047
0.6
232
20.1
569
12.5
611
0.0
496
0.0
796
86.3
48
6.8
742
16
17
1.6
528
0.6
050
21.7
616
13.1
661
0.0
460
0.0
760
96.0
28
7.2
936
17
18
1.7
024
0.5
874
23.4
144
13.7
535
0.0
427
0.0
727
106.0
14
7.7
081
18
19
1.7
535
0.5
703
25.1
169
14.3
238
0.0
398
0.0
698
116.2
79
8.1
179
19
20
1.8
061
0.5
537
26.8
704
14.8
775
0.0
372
0.0
672
126.7
99
8.5
229
20
21
1.8
603
0.5
375
28.6
765
15.4
150
0.0
349
0.0
649
137.5
50
8.9
231
21
22
1.9
161
0.5
219
30.5
368
15.9
369
0.0
327
0.0
627
148.5
09
7.3
186
22
23
1.9
736
0.5
067
32.4
529
16.4
436
0.0
308
0.0
608
159.6
57
9.7
093
23
24
2.0
328
0.4
919
34.4
265
16.9
355
0.0
290
0.0
590
170.9
71
10.0
954
24
25
2.0
938
0.4
776
36.4
593
17.4
131
0.0
274
0.0
574
182.4
34
10.4
768
25
30
2.4
273
0.4
120
47.5
754
19.6
004
0.0
210
0.0
510
241.3
61
12.3
141
30
35
2.8
139
0.3
554
60.4
621
21.4
872
0.0
165
0.0
465
301.6
27
14.0
375
35
40
3.2
620
0.3
066
75.4
012
23.1
148
0.0
133
0.0
433
361.7
50
15.6
502
40
45
3.7
816
0.2
644
92.7
199
24.5
187
0.0
108
0.0
408
420.6
33
17.1
556
45
50
4.3
839
0.2
281
1
12.7
969
25.7
298
0.0
089
0.0
389
477.4
80
18.5
575
50
60
5.8
916
0.1
697
1
63.0
534
27.6
756
0.0
061
0.0
361
583.0
53
21.0
674
60
80
10.6
409
0.0
940
3
21.3
630
30.2
008
0.0
031
0.0
331
756.0
87
25.0
353
80
100
19.2
186
0.0
520
6
07.2
877
31.5
989
0.0
016
0.0
316
879.8
54
27.8
444
100
33.3
333
0.0
300
T
ablaC.6
Composicindiscreta;
i
=3
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
8/23
1
1.0
400
0.9
615
1.0
000
0.9
615
1.0
000
1.0
400
0.0
00
0.0
000
1
2
1.0
816
0.9
246
2.0
400
1.8
861
0.4
902
0.5
302
0.9
25
0.4
902
2
3
1.1
249
0.8
890
3.1
216
2.7
751
0.3
203
0.3
603
2.7
03
0.9
739
3
4
1.1
699
0.8
548
4.2
465
3.6
299
0.2
355
0.2
755
5.2
67
1.4
510
4
5
1.2
167
0.8
219
5.4
163
4.4
518
0.1
846
0.2
246
8.5
55
1.9
216
5
6
1.2
653
0.7
903
6.6
330
5.2
421
0.1
508
0.1
908
12.5
06
2.3
857
6
7
1.3
159
0.7
599
7.8
983
6.0
021
0.1
266
0.1
666
17.0
66
2.8
433
7
8
1.3
686
0.7
307
9.2
142
6.7
327
0.1
085
0.1
485
22.1
81
3.2
944
8
9
1.4
233
0.7
026
10.5
828
7.4
353
0.0
945
0.1
345
27.8
01
3.7
391
9
10
1.4
802
0.6
756
12.0
061
8.1
109
0.0
833
0.1
233
33.8
81
4.1
773
10
11
1.5
395
0.6
496
13.4
864
8.7
605
0.0
741
0.1
141
40.3
77
4.6
090
11
12
1.6
010
0.6
246
15.0
258
9.3
851
0.0
666
0.1
066
47.2
48
5.0
343
12
13
1.6
651
0.6
006
16.6
268
9.9
856
0.0
601
0.1
001
54.4
55
5.4
533
13
14
1.7
317
0.5
775
18.2
919
10.5
631
0.0
547
0.0
947
61.9
62
5.8
659
14
15
1.8
009
0.5
553
20.0
236
11.1
184
0.0
499
0.0
899
69.7
36
6.2
721
15
16
1.8
730
0.5
339
21.8
245
11.6
523
0.0
458
0.0
858
77.7
44
6.6
720
16
17
1.9
479
0.5
134
23.6
975
12.1
657
0.0
422
0.0
822
85.9
58
7.0
656
17
18
2.0
258
0.4
936
25.6
454
12.6
593
0.0
390
0.0
790
94.3
50
7.4
530
18
19
2.1
068
0.4
746
27.6
712
13.1
339
0.0
361
0.0
761
102.8
93
7.8
342
19
20
2.1
911
0.4
564
29.7
781
13.5
903
0.0
336
0.0
736
111.5
65
8.2
091
20
21
2.2
788
0.4
388
31.9
692
14.0
292
0.0
313
0.0
713
120.3
41
8.5
779
21
22
2.3
699
0.4
220
34.2
480
14.4
511
0.0
292
0.0
692
129.2
02
8.9
407
22
23
2.4
647
0.4
057
36.6
179
14.8
568
0.0
273
0.0
673
138.1
28
9.2
973
23
24
2.5
633
0.3
901
39.0
826
15.2
470
0.0
256
0.0
656
147.1
01
9.6
479
24
25
2.6
658
0.3
751
41.6
459
15.6
221
0.0
240
0.0
640
156.1
04
9.9
925
25
30
3.2
434
0.3
083
56.0
849
17.2
920
0.0
178
0.0
578
201.0
62
11.6
274
30
35
3.9
461
0.2
534
73.6
522
18.6
646
0.0
136
0.0
536
244.8
77
13.1
198
35
40
4.8
010
0.2
083
95.0
255
19.7
928
0.0
105
0.0
505
286.5
30
14.4
765
40
45
5.8
412
0.1
712
121.0
294
20.7
200
0.0
083
0.0
483
325.4
03
15.7
047
45
50
7.1
067
0.1
407
152.6
671
21.4
822
0.0
066
0.0
466
361.1
64
16.8
122
50
60
10.5
196
0.0
951
237.9
907
22.6
235
0.0
042
0.0
442
422.9
97
18.6
972
60
80
23.0
498
0.0
434
551.2
450
23.9
154
0.0
018
0.0
418
511.1
16
21.3
718
80
100
50.5
049
0.0
198
1
237.6
237
24.5
050
0.0
008
0.0
408
563.1
25
22.9
800
100
25.0
000
0.0
400
T
ablaC.7
Composicindiscreta;
i
=4
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
9/23
1
1.0
500
0.9
524
1.0
000
0.9
524
1.0
000
1.0
500
0.0
00
0.0
000
1
2
1.1
025
0.9
070
2.0
500
1.8
594
0.4
878
0.5
378
0.9
07
0.4
878
2
3
1.1
576
0.8
638
3.1
525
2.7
232
0.3
172
0.3
672
2.6
35
0.9
675
3
4
1.2
155
0.8
227
4.3
101
3.5
460
0.2
320
0.2
820
5.1
03
1.4
391
4
5
1.2
763
0.7
835
5.5
256
4.3
295
0.1
810
0.2
310
8.2
37
1.9
025
5
6
1.3
401
0.7
462
6.8
019
5.0
757
0.1
470
0.1
970
11.9
68
2.3
579
6
7
1.4
071
0.7
107
8.1
420
5.7
864
0.1
228
0.1
728
16.2
32
2.8
052
7
8
1.4
775
0.6
768
9.5
491
6.4
632
0.1
047
0.1
547
20.9
70
3.2
445
8
9
1.5
513
0.6
446
11.0
266
7.1
078
0.0
907
0.1
407
26.1
27
3.6
758
9
10
1.6
289
0.6
139
12.5
779
7.7
217
0.0
795
0.1
295
31.6
52
4.0
991
10
11
1.7
103
0.5
847
14.2
068
8.3
064
0.0
704
0.1
204
37.4
99
4.5
144
11
12
1.7
959
0.5
568
15.9
171
8.8
633
0.0
628
0.1
128
43.6
24
4.9
219
12
13
1.8
856
0.5
303
17.7
130
9.3
936
0.0
565
0.1
065
49.9
88
5.3
215
13
14
1.9
799
0.5
051
19.5
986
9.8
986
0.0
510
0.1
010
56.5
54
5.7
133
14
15
2.0
789
0.4
810
21.5
786
10.3
797
0.0
463
0.0
963
63.2
88
6.0
973
15
16
2.1
829
0.4
581
23.6
575
10.8
378
0.0
423
0.0
923
70.1
60
6.4
736
16
17
2.2
920
0.4
363
25.8
404
11.2
741
0.0
387
0.0
887
77.1
41
6.8
423
17
18
2.4
066
0.4
155
28.1
324
11.6
896
0.0
355
0.0
855
84.2
04
7.2
034
18
19
2.5
270
0.3
957
30.5
390
12.0
853
0.0
327
0.0
827
91.3
28
7.5
569
19
20
2.6
533
0.3
769
33.0
660
12.4
622
0.0
302
0.0
802
98.4
88
7.9
030
20
21
2.7
860
0.3
589
35.7
193
12.8
212
0.0
280
0.0
780
105.6
67
8.2
416
21
22
2.9
253
0.3
418
38.5
052
13.1
630
0.0
260
0.0
760
112.8
46
8.5
730
22
23
3.0
715
0.3
256
41.4
305
13.4
886
0.0
241
0.0
741
120.0
09
8.8
971
23
24
3.2
251
0.3
101
44.5
020
13.7
986
0.0
225
0.0
725
127.1
40
9.2
140
24
25
3.3
864
0.2
953
47.7
271
14.0
939
0.0
210
0.0
710
134.2
28
9.5
238
25
30
4.3
219
0.2
314
66.4
388
15.3
725
0.0
151
0.0
651
168.6
23
10.9
691
30
35
5.5
160
0.1
813
90.3
203
16.3
742
0.0
111
0.0
611
200.5
81
12.2
498
35
40
7.0
400
0.1
420
120.7
998
17.1
591
0.0
083
0.0
583
229.5
45
13.3
775
40
45
8.9
850
0.1
113
159.7
002
17.7
741
0.0
063
0.0
563
255.3
15
14.3
644
45
50
11.4
674
0.0
872
209.3
480
18.2
559
0.0
048
0.0
548
277.9
15
15.2
233
50
60
18.6
792
0.0
535
353.5
837
18.9
293
0.0
028
0.0
528
314.3
43
16.6
062
60
80
49.5
614
0.0
202
971.2
288
19.5
965
0.0
010
0.0
510
359.6
46
18.3
526
80
100
131.5
013
0.0
076
2610.0
252
19.8
479
0.0
004
0.0
504
381.7
49
19.2
337
100
20.0
000
0.0
500
T
ablaC.8
Composicindiscreta;
i
=5
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
10/23
1
1.0
600
0.9
434
1.0
000
0.9
434
1.0
000
1.0
600
0.0
00
0.0
000
1
2
1.1
236
0.8
900
2.0
600
1.8
334
0.4
854
0.5
454
0.8
90
0.4
854
2
3
1.1
910
0.8
396
3.1
836
2.6
730
0.3
141
0.3
741
2.5
69
0.9
612
3
4
1.2
625
0.7
921
4.3
746
3.4
651
0.2
286
0.2
886
4.9
46
1.4
272
4
5
1.3
382
0.7
473
5.6
371
4.2
124
0.1
774
0.2
374
7.9
35
1.8
836
5
6
1.4
185
0.7
050
6.9
753
4.9
173
0.1
434
0.2
034
11.4
59
2.3
304
6
7
1.5
036
0.6
651
8.3
938
5.5
824
0.1
191
0.1
791
15.4
50
2.7
676
7
8
1.5
938
0.6
274
9.8
975
6.2
098
0.1
010
0.1
610
19.8
42
3.1
952
8
9
1.6
895
0.5
919
11.4
913
6.8
017
0.0
870
0.1
470
24.5
77
3.6
133
9
10
1.7
908
0.5
584
13.1
808
7.3
601
0.0
759
0.1
359
29.6
02
4.0
220
10
11
1.8
983
0.5
268
14.9
716
7.8
869
0.0
668
0.1
268
34.8
70
4.4
213
11
12
2.0
122
0.4
970
16.8
699
8.3
838
0.0
593
0.1
193
40.3
37
4.8
113
12
13
2.1
329
0.4
688
18.8
821
8.8
527
0.0
530
0.1
130
45.9
63
5.1
920
13
14
2.2
609
0.4
423
21.0
151
9.2
950
0.0
476
0.1
076
51.7
13
5.5
635
14
15
2.3
966
0.4
173
23.2
760
9.7
122
0.0
430
0.1
030
57.5
55
5.9
260
15
16
2.5
404
0.3
936
25.6
725
10.1
059
0.0
390
0.0
990
63.4
59
6.2
794
16
17
2.6
928
0.3
714
28.2
129
10.4
773
0.0
354
0.0
954
69.4
01
6.6
240
17
18
2.8
543
0.3
503
30.9
057
10.8
276
0.0
324
0.0
924
75.3
57
6.9
597
18
19
3.0
256
0.3
305
33.7
600
11.1
581
0.0
296
0.0
896
81.3
06
7.2
867
19
20
3.2
071
0.3
118
36.7
856
11.4
699
0.0
272
0.0
872
87.2
30
7.6
051
20
21
3.3
996
0.2
942
39.9
927
11.7
641
0.0
250
0.0
850
93.1
14
7.9
151
21
22
3.6
035
0.2
775
43.3
923
12.0
416
0.0
230
0.0
830
98.9
41
8.2
166
22
23
3.8
197
0.2
618
46.9
958
12.3
034
0.0
213
0.0
813
104.7
01
8.5
099
23
24
4.0
489
0.2
470
50.8
156
12.5
504
0.0
197
0.0
797
110.3
81
8.7
951
24
25
4.2
919
0.2
330
54.8
645
12.7
834
0.0
182
0.0
782
115.9
73
9.0
722
25
30
5.7
435
0.1
741
79.0
582
13.7
648
0.0
126
0.0
726
142.3
59
10.3
422
30
35
7.6
861
0.1
301
1
11.4
348
14.4
982
0.0
090
0.0
690
165.7
43
11.4
319
35
40
10.2
857
0.0
972
1
54.7
620
15.0
463
0.0
065
0.0
665
185.9
57
12.3
590
40
45
13.7
646
0.0
727
2
12.7
435
15.4
558
0.0
047
0.0
647
203.1
10
13.1
413
45
50
18.4
202
0.0
543
2
90.3
359
15.7
619
0.0
034
0.0
634
217.4
57
13.7
964
50
60
32.9
877
0.0
303
5
33.1
282
16.1
614
0.0
019
0.0
619
239.0
43
14.7
909
60
80
105.7
960
0.0
095
17
46.5
999
16.5
091
0.0
006
0.0
606
262.5
49
15.9
033
80
100
339.3
021
0.0
029
56
38.3
681
16.6
175
0.0
002
0.0
602
272.0
47
16.3
711
100
16.6
667
0.0
600
T
ablaC.9
Composicindiscreta;
i
=6
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
11/23
1
1.0
700
0.9
346
1.0
000
0.9
346
1.0
000
1.0
700
0.0
00
0.0
000
1
2
1.1
449
0.8
734
2.0
700
1.8
080
0.4
831
0.5
531
0.8
73
0.4
831
2
3
1.2
250
0.8
163
3.2
149
2.6
243
0.3
111
0.3
811
2.5
06
0.9
549
3
4
1.3
108
0.7
629
4.4
399
3.3
872
0.2
252
0.2
952
4.7
95
1.4
155
4
5
1.4
026
0.7
130
5.7
507
4.1
002
0.1
739
0.2
439
7.6
47
1.8
650
5
6
1.5
007
0.6
663
7.1
533
4.7
665
0.1
398
0.2
098
10.9
78
2.3
032
6
7
1.6
058
0.6
227
8.6
540
5.3
893
0.1
156
0.1
856
14.7
15
2.7
304
7
8
1.7
182
0.5
820
10.2
598
5.9
713
0.0
975
0.1
675
18.7
89
3.1
465
8
9
1.8
385
0.5
439
11.9
780
6.5
152
0.0
835
0.1
535
23.1
40
3.5
517
9
10
1.9
672
0.5
083
13.8
164
7.0
236
0.0
724
0.1
424
27.7
16
3.9
461
10
11
2.1
049
0.4
751
15.7
836
7.4
987
0.0
634
0.1
334
32.4
67
4.3
296
11
12
2.2
522
0.4
440
17.8
885
7.9
427
0.0
559
0.1
259
37.3
51
4.7
025
12
13
2.4
098
0.4
150
20.1
406
8.3
577
0.0
497
0.1
197
42.3
30
5.0
648
13
14
2.5
785
0.3
878
22.5
505
8.7
455
0.0
443
0.1
143
47.3
72
5.4
167
14
15
2.7
590
0.3
624
25.1
290
9.1
079
0.0
398
0.1
098
52.4
46
5.7
583
15
16
2.9
522
0.3
387
27.8
881
9.4
466
0.0
359
0.1
059
57.5
27
6.0
897
16
17
3.1
588
0.3
166
30.8
402
9.7
632
0.0
324
0.1
024
62.5
92
6.4
110
17
18
3.3
799
0.2
959
33.9
990
10.0
591
0.0
294
0.0
994
67.6
22
6.7
225
18
19
3.6
165
0.2
765
37.3
790
10.3
356
0.0
268
0.0
968
72.5
99
7.0
242
19
20
3.8
697
0.2
584
40.9
955
10.5
940
0.0
244
0.0
944
77.5
09
7.3
163
20
21
4.1
406
0.2
415
44.8
652
10.8
355
0.0
223
0.0
923
82.3
39
7.5
990
21
22
4.4
304
0.2
257
49.0
057
11.0
612
0.0
204
0.0
904
87.0
79
7.8
725
22
23
4.7
405
0.2
109
53.4
361
11.2
722
0.0
187
0.0
887
91.7
20
8.1
369
23
24
5.0
724
0.1
971
58.1
767
11.4
693
0.0
172
0.0
872
96.2
55
8.3
923
24
25
5.4
274
0.1
842
63.2
490
11.6
536
0.0
158
0.0
858
100.6
77
8.6
391
25
30
7.6
123
0.1
314
94.4
608
12.4
090
0.0
106
0.0
806
120.9
72
9.7
487
30
35
10.6
766
0.0
937
138.2
369
12.9
477
0.0
072
0.0
772
138.1
35
10.6
687
35
40
14.9
745
0.0
668
199.6
351
13.3
317
0.0
050
0.0
750
152.2
93
11.4
233
40
45
21.0
023
0.0
476
285.7
495
13.6
055
0.0
035
0.0
735
163.7
56
12.0
360
45
50
29.4
570
0.0
339
406.5
289
13.8
007
0.0
025
0.0
725
172.9
05
12.5
287
50
60
57.9
464
0.0
173
813.5
204
14.0
392
0.0
012
0.0
712
185.7
68
13.2
321
60
80
224.2
344
0.0
045
3189.0
627
14.2
220
0.0
003
0.0
703
198.0
75
13.9
273
80
100
867.7
163
0.0
012
12381.6
618
14.2
693
0.0
001
0.0
701
202.2
00
14.1
703
100
14.2
857
0.0
700
T
ablaC.10
Composicindiscreta;
i
=7
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
12/23
1
1.0
800
0.9
259
1.0
000
0.9
259
1.0
000
1.0
800
0.0
00
0.0
000
1
2
1.1
664
0.8
573
2.0
800
1.7
833
0.4
808
0.5
608
0.8
57
0.4
808
2
3
1.2
597
0.7
938
3.2
464
2.5
771
0.3
080
0.3
880
2.4
45
0.9
487
3
4
1.3
605
0.7
350
4.5
061
3.3
121
0.2
219
0.3
019
4.6
50
1.4
040
4
5
1.4
693
0.6
806
5.8
666
3.9
927
0.1
705
0.2
505
7.3
72
1.8
465
5
6
1.5
869
0.6
302
7.3
359
4.6
229
0.1
363
0.2
163
10.5
23
2.2
763
6
7
1.7
138
0.5
835
8.9
228
5.2
064
0.1
121
0.1
921
14.0
24
2.6
937
7
8
1.8
509
0.5
403
10.6
366
5.7
466
0.0
940
0.1
740
17.8
06
3.0
985
8
9
1.9
990
0.5
002
12.4
876
6.2
469
0.0
801
0.1
601
21.8
08
3.4
910
9
10
2.1
589
0.4
632
14.4
866
6.7
101
0.0
690
0.1
490
25.9
77
3.8
713
10
11
2.3
316
0.4
289
16.6
455
7.1
390
0.0
601
0.1
401
30.2
66
4.2
395
11
12
2.5
182
0.3
971
18.9
771
7.5
361
0.0
527
0.1
327
34.6
34
4.5
957
12
13
2.7
196
0.3
677
21.4
953
7.9
038
0.0
465
0.1
265
39.0
46
4.9
402
13
14
2.9
372
0.3
405
24.2
149
8.2
442
0.0
413
0.1
213
43.4
72
5.2
731
14
15
3.1
722
0.3
152
27.1
521
8.5
595
0.0
368
0.1
168
47.8
86
5.5
945
15
16
3.4
259
0.2
919
30.3
243
8.8
514
0.0
330
0.1
130
52.2
64
5.9
046
16
17
3.7
000
0.2
703
33.7
502
9.1
216
0.0
296
0.1
096
56.5
88
6.2
037
17
18
3.9
960
0.2
502
37.4
502
9.3
719
0.0
267
0.1
067
60.8
43
6.4
920
18
19
4.3
157
0.2
317
41.4
463
9.6
036
0.0
241
0.1
041
65.0
13
6.7
697
19
20
4.6
610
0.2
145
45.7
620
9.8
181
0.0
219
0.1
019
69.0
90
7.0
369
20
21
5.0
338
0.1
987
50.4
229
10.0
168
0.0
198
0.0
998
73.0
63
7.2
940
21
22
5.4
365
0.1
839
55.4
568
10.2
007
0.0
180
0.0
980
76.9
26
7.5
412
22
23
5.8
715
0.1
703
60.8
933
10.3
711
0.0
164
0.0
964
80.6
73
7.7
786
23
24
6.3
412
0.1
577
66.7
648
10.5
288
0.0
150
0.0
950
84.3
00
8.0
066
24
25
6.8
485
0.1
460
73.1
059
10.6
748
0.0
137
0.0
937
87.8
04
8.2
254
25
30
10.0
627
0.0
994
113.2
832
11.2
578
0.0
088
0.0
888
103.4
56
9.1
897
30
35
14.7
853
0.0
676
172.3
168
11.6
546
0.0
058
0.0
858
116.0
92
9.9
611
35
40
21.7
245
0.0
460
259.0
565
11.9
246
0.0
039
0.0
839
126.0
42
10.5
699
40
45
31.9
204
0.0
313
386.5
056
12.1
084
0.0
026
0.0
826
133.7
33
11.0
447
45
50
46.9
016
0.0
213
573.7
702
12.2
335
0.0
017
0.0
817
139.5
93
11.4
107
50
60
101.2
571
0.0
099
1253.2
133
12.3
766
0.0
008
0.0
808
147.3
00
11.9
015
60
80
471.9
548
0.0
021
5886.9
354
12.4
735
0.0
002
0.0
802
153.8
00
12.3
301
80
100
2199.7
613
0.0
005
27484.5
157
12.4
943
a
0.0
800
155.6
11
12.4
545
100
12.5
000
0.0
800
aMenosde0.0
001.
T
ablaC.11
Composicindiscreta;
i
=8
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
13/23
1
1.0
900
0.9
174
1.0
000
0.9
174
1.0
000
1.0
900
0.0
00
0.0
000
1
2
1.1
881
0.8
417
2.0
900
1.7
591
0.4
785
0.5
685
0.8
42
0.4
785
2
3
1.2
950
0.7
722
3.2
781
2.5
313
0.3
051
0.3
951
2.3
86
0.9
426
3
4
1.4
116
0.7
084
4.5
731
3.2
397
0.2
187
0.3
087
4.5
11
1.3
925
4
5
1.5
386
0.6
499
5.9
847
3.8
897
0.1
671
0.2
571
7.1
11
1.8
282
5
6
1.6
771
0.5
963
7.5
233
4.4
859
0.1
329
0.2
229
10.0
92
2.2
498
6
7
1.8
280
0.5
470
9.2
004
5.0
330
0.1
087
0.1
987
13.3
75
2.6
574
7
8
1.9
926
0.5
019
11.0
285
5.5
348
0.0
907
0.1
807
16.8
88
3.0
512
8
9
2.1
719
0.4
604
13.0
210
5.9
952
0.0
768
0.1
668
20.5
71
3.4
312
9
10
2.3
674
0.4
224
15.1
929
6.4
177
0.0
658
0.1
558
24.3
73
3.7
978
10
11
2.5
804
0.3
875
17.5
603
6.8
052
0.0
569
0.1
469
28.2
48
4.1
510
11
12
2.8
127
0.3
555
20.1
407
7.1
607
0.0
497
0.1
397
32.1
59
4.4
910
12
13
3.0
658
0.3
262
22.9
534
7.4
869
0.0
436
0.1
336
36.0
73
4.8
182
13
14
3.3
417
0.2
992
26.0
192
7.7
862
0.0
384
0.1
284
39.9
63
5.1
326
14
15
3.6
425
0.2
745
29.3
609
8.0
607
0.0
341
0.1
241
43.8
07
5.4
346
15
16
3.9
703
0.2
519
33.0
034
8.3
126
0.0
303
0.1
203
47.5
85
5.7
245
16
17
4.3
276
0.2
311
36.9
737
8.5
436
0.0
270
0.1
170
51.2
82
6.0
024
17
18
4.7
171
0.2
120
41.3
013
8.7
556
0.0
242
0.1
142
54.8
86
6.2
687
18
19
5.1
417
0.1
945
46.0
185
8.9
501
0.0
217
0.1
117
58.3
87
6.5
236
19
20
5.6
044
0.1
784
51.1
601
9.1
285
0.0
195
0.1
095
61.7
77
6.7
674
20
21
6.1
088
0.1
637
56.7
645
9.2
922
0.0
176
0.1
076
65.0
51
7.0
006
21
22
6.6
586
0.1
502
62.8
733
9.4
424
0.0
159
0.1
059
68.2
05
7.2
232
22
23
7.2
579
0.1
378
69.5
319
9.5
802
0.0
144
0.1
044
71.2
36
7.4
357
23
24
7.9
111
0.1
264
76.7
898
9.7
066
0.0
130
0.1
030
74.1
43
7.6
384
24
25
8.6
231
0.1
160
84.7
009
9.8
226
0.0
118
0.1
018
76.9
27
7.8
316
25
30
13.2
677
0.0
754
136.3
075
10.2
737
0.0
073
0.0
973
89.0
28
8.6
657
30
35
20.4
140
0.0
490
215.7
108
10.5
668
0.0
046
0.0
946
98.3
59
9.3
083
35
40
31.4
094
0.0
318
337.8
824
10.7
574
0.0
030
0.0
930
105.3
76
9.7
957
40
45
48.3
273
0.0
207
525.8
587
10.8
812
0.0
019
0.0
919
110.5
56
10.1
603
45
50
74.3
575
0.0
134
815.0
836
10.9
617
0.0
012
0.0
912
114.3
25
10.4
295
50
60
176.0
313
0.0
057
1944.7
921
11.0
480
0.0
005
0.0
905
118.9
68
10.7
683
60
80
986.5
517
0.0
010
10950.5
741
11.0
998
0.0
001
0.0
901
122.4
31
11.0
299
80
100
5529.0
408
0.0
002
61422.6
755
11.1
091
a
0.0
900
123.2
34
11.0
930
100
11.1
111
0.0
900
aMenosde0.0
001.
T
ablaC.12
Composicindiscreta;
i
=9
%
Pagonico
Serieuniforme
Gradienteuniforme
Factor
Factorde
Factor
Factorde
Factorde
Factorde
Factorde
Factordeuna
de
valor
de
valor
fondo
recuperacin
valorpresente
seriegradiente
capitalizacin
presente
capitalizacin
presente
sumergido
decapital
delgradiente
uniforme
Paracalcular
Paracalcular
Pa
racalcularParacalcularParacalcularParacalcular
Paracalcular
Paracalcular
FdadoP
PdadoF
FdadoA
PdadoA
AdadoF
AdadoP
PdadoG
AdadoG
N
F/P
P/F
F/A
P/A
A/F
A/P
P/G
A/G
N
-
7/24/2019 Tablas de interes y anualidades para capitalizacin continua y discreta
14/23
1
1.1
000
0.9
091
1.0
000
0.9
091
1.0
000
1.1
000
0.0
00
0.0
000
1
2
1.2
100
0.8
264
2.1
000
1.7
355
0.4
762
0.5
762
0.8
26
0.4
762
2
3
1.3
310
0.7
513
3.3
100
2.4
869
0.3
021
0.4
021
2.3
29
0.9
366
3
4
1.4
641
0.6
830
4.6
410
3.1
699
0.2
155
0.3
155
4.3
78
1.3
812
4
5
1.6
105
0.6
209
6.1
051
3.7
908
0.1
638
0.2
638
6.8
62
1.8
101
5
6
1.7
716
0.5
645
7.7
156
4.3
553
0.1
296
0.2
296
9.6
84
2.2
236
6
7
1.9
487
0.5
132
9.4
872
4.8
684
0.1
054
0.2
054
12.7
63
2.6
216
7
8
2.1
436
0.4
665
11.4
359
5.3
349
0.0
874
0.1
874
16.0
29
3.0
045
8
9
2.3
579
0.4
241
13.5
795
5.7
590
0.0
736
0.1
736
19.4
22
3.3
724
9
10
2.5
937
0.3
855
15.9
374
6.1
446
0.0
627
0.1
627
22.8
91
3.7
255
10
11
2.8
531
0.3
505
18.5
312
6.4
951
0.0
540
0.1
540
26.3
96
4.0
641
11
12
3.1
384
0.3
186
21.3
843
6.8
137
0.0
468
0.1
468
29.9
01
4.3
884
12
13
3.4
523
0.2
897
24.5
227
7.1
034
0.0
408
0.1
408
33.3
77
4.6
988
13
14
3.7
975
0.2
633
27.9
750
7.3
667
0.0
357
0.1
357
36.8
01
4.9
955
14
15
4.1
772
0.2
394
31.7
725
7.6
061
0.0
315
0.1
315
40.1
52
5.2
789
15
16
4.5
950
0.2
176
35.9
497
7.8
237
0.0
278
0.1
278
43.4
16
5.5
493
16
17
5.0
545
0.1
978
40.5
447
8.0
216
0.0
247
0.1
247
46.5
82
5.8
071
17
18
5.5
599
0.1
799
45.5
992
8.2
014
0.0
219
0.1
219
49.6
40
6.0
526
18
19
6.1
159
0.1
635
51.1
591
8.3
649
0.0
195
0.1
195
52.5
83
6.2
861
19
20
6.7
275
0.1
486
57.2
750
8.5
136
0.0
175
0.1
175
55.4
07
6.5
081
20
21
7.4
002
0.1
351
64.0
025
8.6
487
0.0
156
0.1
156
58.1
10
6.7
189
21
22
8.1
403
0.1
228
71.4
027
8.7
715
0.0
140
0.1
140
60.6
89
6.9
189
22
23
8.9
543
0.1
117
79.5
430
8.8
832
0.0
126
0.1
126
63.1
46
7.1
085
23
24
9.8
497
0.1
015
88.4
973
8.9
847
0.0
113
0.1
113
65.4
81
7.2
881
24
25
10.8
347
0.0
923
98.3
471
9.0
770
0.0
102
0.1
102
67.6
96
7.4
580
25
30
17.4
494
0.0
573
164.4
940
9.4
269
0.0
061
0.1
061
77.0
77
8.1
762
30
35
28.1
024
0.0
356
271.0
244
9.6
442
0.0
037
0.1
037
83.9
87
8.7
086
35
40
45.2
593
0.0
221
442.5
926
9.7
791
0.0
023
0.1
023
88.9
53
9.0
962
40
45
72.8
905
0.0
137
718.9
048
9.8
628
0.0
014
0.1
014
92.4
54
9.3
740
45
50
117.3
909
0.0
085
1163.9
085
9.9
148
0.0
009
0.1
009
94.8
89
9.5
704
50
60
304.4
816
0.0
033
3034.8
164
9.9
672
0.0
003
0.1
003
97.7
01
9.8
023
60
80
2048.4
002
0.0
005
20474.0
021
9.9
951
a
0.1
000
99.5
61
9.9
609
80
100
13780.6
123
0.0
001
137796.1
234
9.9
993
a
0.1
000
99.9
20
9.9
927
100
1
