|
Корпоративные финансы
Таблица 3: Функция будущей стоимости
аннуитета
|
годы
|
|
|
|
|
|
|
|
|
|
|
|
|
%
|
1,0
|
2,00
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
13
|
1
|
1,0
|
2,01
|
3,030
|
4,060
|
5,101
|
6,152
|
7,214
|
8,286
|
9,369
|
10,462
|
11,567
|
12,683
|
13,809
|
2
|
1,0
|
2,02
|
3,060
|
4,122
|
5,204
|
6,308
|
7,434
|
8,583
|
9,755
|
10,950
|
12,169
|
13,412
|
14,680
|
3
|
1,0
|
2,03
|
3,091
|
4,184
|
5,309
|
6,468
|
7,662
|
8,892
|
10,159
|
11,464
|
12,808
|
14,192
|
15,618
|
4
|
1,0
|
2,04
|
3,122
|
4,246
|
5,416
|
6,633
|
7,898
|
9,214
|
10,583
|
12,006
|
13,486
|
15,026
|
16,627
|
5
|
1,0
|
2,05
|
3,153
|
4,310
|
5,526
|
6,802
|
8,142
|
9,549
|
11,027
|
12,578
|
14,207
|
15,917
|
17,713
|
6
|
1,0
|
2,06
|
3,184
|
4,375
|
5,637
|
6,975
|
8,394
|
9,897
|
11,491
|
13,181
|
14,972
|
16,870
|
18,882
|
7
|
1,0
|
2,07
|
3,215
|
4,440
|
5,751
|
7,153
|
8,654
|
10,260
|
11,978
|
13,816
|
15,784
|
17,888
|
20,141
|
8
|
1,0
|
2,08
|
3,246
|
4,506
|
5,867
|
7,336
|
8,923
|
10,637
|
12,488
|
14,487
|
16,645
|
18,977
|
21,495
|
9
|
1,0
|
2,09
|
3,278
|
4,573
|
5,985
|
7,523
|
9,200
|
11,028
|
13,021
|
15,193
|
17,560
|
20,141
|
22,953
|
10
|
1,0
|
2,10
|
3,310
|
4,641
|
6,105
|
7,716
|
9,487
|
11,436
|
13,579
|
15,937
|
18,531
|
21,384
|
24,523
|
11
|
1,0
|
2,11
|
3,342
|
4,710
|
6,228
|
7,913
|
9,783
|
11,859
|
14,164
|
16,722
|
19,561
|
22,713
|
26,212
|
12
|
1,0
|
2,12
|
3,374
|
4,779
|
6,353
|
8,115
|
10,089
|
12,300
|
14,776
|
17,549
|
20,655
|
24,133
|
28,029
|
13
|
1,0
|
2,13
|
3,407
|
4,850
|
6,480
|
8,323
|
10,405
|
12,757
|
15,416
|
18,420
|
21,814
|
25,650
|
29,985
|
14
|
1,0
|
2,14
|
3,440
|
4,921
|
6,610
|
8,536
|
10,730
|
13,233
|
16,085
|
19,337
|
23,045
|
27,271
|
32,089
|
15
|
1,0
|
2,15
|
3,473
|
4,993
|
6,742
|
8,754
|
11,067
|
13,727
|
16,786
|
20,304
|
24,349
|
29,002
|
34,352
|
16
|
1,0
|
2,16
|
3,506
|
5,066
|
6,877
|
8,977
|
11,414
|
14,240
|
17,519
|
21,321
|
25,733
|
30,850
|
36,786
|
17
|
1,0
|
2,17
|
3,539
|
5,141
|
7,014
|
9,207
|
11,772
|
14,773
|
18,285
|
22,393
|
27,200
|
32,824
|
39,404
|
18
|
1,0
|
2,18
|
3,572
|
5,215
|
7,154
|
9,442
|
12,142
|
15,327
|
19,086
|
23,521
|
28,755
|
34,931
|
42,219
|
19
|
1,0
|
2,19
|
3,606
|
5,291
|
7,297
|
9,683
|
12,523
|
15,902
|
19,923
|
24,709
|
30,404
|
37,180
|
45,244
|
20
|
1,0
|
2,20
|
3,640
|
5,368
|
7,442
|
9,930
|
12,916
|
16,499
|
20,799
|
25,959
|
32,150
|
39,581
|
48,497
|
21
|
1,0
|
2,21
|
3,674
|
5,446
|
7,589
|
10,183
|
13,321
|
17,119
|
21,714
|
27,274
|
34,001
|
42,142
|
51,991
|
22
|
1,0
|
2,22
|
3,708
|
5,524
|
7,740
|
10,442
|
13,740
|
17,762
|
22,670
|
28,657
|
35,962
|
44,874
|
55,746
|
23
|
1,0
|
2,23
|
3,743
|
5,604
|
7,893
|
10,708
|
14,171
|
18,430
|
23,669
|
30,113
|
38,039
|
47,788
|
59,779
|
24
|
1,0
|
2,24
|
3,778
|
5,684
|
8,048
|
10,980
|
14,615
|
19,123
|
24,712
|
31,643
|
40,238
|
50,895
|
64,110
|
25
|
1,0
|
2,25
|
3,813
|
5,766
|
8,207
|
11,259
|
15,073
|
19,842
|
25,802
|
33,253
|
42,566
|
54,208
|
68,760
|
26
|
1,0
|
2,26
|
3,848
|
5,848
|
8,368
|
11,544
|
15,546
|
20,588
|
26,940
|
34,945
|
45,031
|
57,739
|
73,751
|
27
|
1,0
|
2,27
|
3,883
|
5,931
|
8,533
|
11,837
|
16,032
|
21,361
|
28,129
|
36,723
|
47,639
|
61,501
|
79,107
|
28
|
1,0
|
2,28
|
3,918
|
6,016
|
8,700
|
12,136
|
16,534
|
22,163
|
29,369
|
38,593
|
50,398
|
65,510
|
84,853
|
29
|
1,0
|
2,29
|
3,954
|
6,101
|
8,870
|
12,442
|
17,051
|
22,995
|
30,664
|
40,556
|
53,318
|
69,780
|
91,016
|
30
|
1,0
|
2,30
|
3,990
|
6,187
|
9,043
|
12,756
|
17,583
|
23,858
|
32,015
|
42,619
|
56,405
|
74,327
|
97,625
|
31
|
1,0
|
2,31
|
4,026
|
6,274
|
9,219
|
13,077
|
18,131
|
24,752
|
33,425
|
44,786
|
59,670
|
79,168
|
104,710
|
32
|
1,0
|
2,32
|
4,062
|
6,362
|
9,398
|
13,406
|
18,696
|
25,678
|
34,895
|
47,062
|
63,122
|
84,320
|
112,303
|
33
|
1,0
|
2,33
|
4,099
|
6,452
|
9,581
|
13,742
|
19,277
|
26,638
|
36,429
|
49,451
|
66,769
|
89,803
|
120,439
|
34
|
1,0
|
2,34
|
4,136
|
6,542
|
9,766
|
14,086
|
19,876
|
27,633
|
38,029
|
51,958
|
70,624
|
95,637
|
129,153
|
35
|
1,0
|
2,35
|
4,173
|
6,633
|
9,954
|
14,438
|
20,492
|
28,664
|
39,696
|
54,590
|
74,697
|
101,841
|
138,485
|
36
|
1,0
|
2,36
|
4,210
|
6,725
|
10,146
|
14,799
|
21,126
|
29,732
|
41,435
|
57,352
|
78,998
|
108,437
|
148,475
|
37
|
1,0
|
2,37
|
4,247
|
6,818
|
10,341
|
15,167
|
21,779
|
30,837
|
43,247
|
60,248
|
83,540
|
115,450
|
159,167
|
38
|
1,0
|
2,38
|
4,284
|
6,912
|
10,539
|
15,544
|
22,451
|
31,982
|
45,135
|
63,287
|
88,336
|
122,904
|
170,607
|
39
|
1,0
|
2,39
|
4,322
|
7,008
|
10,741
|
15,930
|
23,142
|
33,168
|
47,103
|
66,473
|
93,398
|
130,823
|
182,844
|
40
|
1,0
|
2,40
|
4,360
|
7,104
|
10,946
|
16,324
|
23,853
|
34,395
|
49,153
|
69,814
|
98,739
|
139,235
|
195,929
|
41
|
1,0
|
2,41
|
4,398
|
7,201
|
11,154
|
16,727
|
24,585
|
35,665
|
51,287
|
73,315
|
104,375
|
148,168
|
209,917
|
42
|
1,0
|
2,42
|
4,436
|
7,300
|
11,366
|
17,139
|
25,338
|
36,979
|
53,511
|
76,985
|
110,319
|
157,653
|
224,867
|
43
|
1,0
|
2,43
|
4,475
|
7,399
|
11,581
|
17,560
|
26,111
|
38,339
|
55,825
|
80,830
|
116,587
|
167,719
|
240,839
|
44
|
1,0
|
2,44
|
4,514
|
7,500
|
11,799
|
17,991
|
26,907
|
39,746
|
58,235
|
84,858
|
123,196
|
178,402
|
257,899
|
45
|
1,0
|
2,45
|
4,553
|
7,601
|
12,022
|
18,431
|
27,725
|
41,202
|
60,743
|
89,077
|
130,162
|
189,735
|
276,115
|
46
|
1,0
|
2,46
|
4,592
|
7,704
|
12,247
|
18,881
|
28,567
|
42,707
|
63,353
|
93,495
|
137,503
|
201,754
|
295,561
|
47
|
1,0
|
2,47
|
4,631
|
7,807
|
12,477
|
19,341
|
29,431
|
44,264
|
66,068
|
98,120
|
145,237
|
214,498
|
316,312
|
48
|
1,0
|
2,48
|
4,670
|
7,912
|
12,710
|
19,811
|
30,320
|
45,874
|
68,893
|
102,962
|
153,383
|
228,008
|
338,451
|
49
|
1,0
|
2,49
|
4,710
|
8,018
|
12,947
|
20,291
|
31,233
|
47,538
|
71,831
|
108,029
|
161,963
|
242,324
|
362,063
|
50
|
1,0
|
2,50
|
4,750
|
8,125
|
13,188
|
20,781
|
32,172
|
49,258
|
74,887
|
113,330
|
170,995
|
257,493
|
387,239
|
51
|
1,0
|
2,51
|
4,790
|
8,233
|
13,432
|
21,282
|
33,136
|
51,035
|
78,064
|
118,876
|
180,503
|
273,559
|
414,074
|
52
|
1,0
|
2,52
|
4,830
|
8,342
|
13,680
|
21,794
|
34,127
|
52,872
|
81,366
|
124,677
|
190,508
|
290,573
|
442,671
|
53
|
1,0
|
2,53
|
4,871
|
8,452
|
13,932
|
22,316
|
35,144
|
54,770
|
84,799
|
130,742
|
201,036
|
308,584
|
473,134
|
Таблица 4: Функция текущей стоимости
аннуитета
|
годы
|
|
|
|
|
|
|
|
|
|
|
|
|
%
|
1,0
|
2,0
|
3,0
|
4,0
|
5,0
|
6,0
|
7,0
|
8,0
|
9,0
|
10,0
|
11,0
|
12,0
|
13,0
|
1
|
0,990
|
1,970
|
2,941
|
3,902
|
4,853
|
5,795
|
6,728
|
7,652
|
8,566
|
9,471
|
10,368
|
11,255
|
12,134
|
2
|
0,980
|
1,942
|
2,884
|
3,808
|
4,713
|
5,601
|
6,472
|
7,325
|
8,162
|
8,983
|
9,787
|
10,575
|
11,348
|
3
|
0,971
|
1,913
|
2,829
|
3,717
|
4,580
|
5,417
|
6,230
|
7,020
|
7,786
|
8,530
|
9,253
|
9,954
|
10,635
|
4
|
0,962
|
1,886
|
2,775
|
3,630
|
4,452
|
5,242
|
6,002
|
6,733
|
7,435
|
8,111
|
8,760
|
9,385
|
9,986
|
5
|
0,952
|
1,859
|
2,723
|
3,546
|
4,329
|
5,076
|
5,786
|
6,463
|
7,108
|
7,722
|
8,306
|
8,863
|
9,394
|
6
|
0,943
|
1,833
|
2,673
|
3,465
|
4,212
|
4,917
|
5,582
|
6,210
|
6,802
|
7,360
|
7,887
|
8,384
|
8,853
|
7
|
0,935
|
1,808
|
2,624
|
3,387
|
4,100
|
4,767
|
5,389
|
5,971
|
6,515
|
7,024
|
7,499
|
7,943
|
8,358
|
8
|
0,926
|
1,783
|
2,577
|
3,312
|
3,993
|
4,623
|
5,206
|
5,747
|
6,247
|
6,710
|
7,139
|
7,536
|
7,904
|
9
|
0,917
|
1,759
|
2,531
|
3,240
|
3,890
|
4,486
|
5,033
|
5,535
|
5,995
|
6,418
|
6,805
|
7,161
|
7,487
|
10
|
0,909
|
1,736
|
2,487
|
3,170
|
3,791
|
4,355
|
4,868
|
5,335
|
5,759
|
6,145
|
6,495
|
6,814
|
7,103
|
11
|
0,901
|
1,713
|
2,444
|
3,102
|
3,696
|
4,231
|
4,712
|
5,146
|
5,537
|
5,889
|
6,207
|
6,492
|
6,750
|
12
|
0,893
|
1,690
|
2,402
|
3,037
|
3,605
|
4,111
|
4,564
|
4,968
|
5,328
|
5,650
|
5,938
|
6,194
|
6,424
|
13
|
0,885
|
1,668
|
2,361
|
2,974
|
3,517
|
3,998
|
4,423
|
4,799
|
5,132
|
5,426
|
5,687
|
5,918
|
6,122
|
14
|
0,877
|
1,647
|
2,322
|
2,914
|
3,433
|
3,889
|
4,288
|
4,639
|
4,946
|
5,216
|
5,453
|
5,660
|
5,842
|
15
|
0,870
|
1,626
|
2,283
|
2,855
|
3,352
|
3,784
|
4,160
|
4,487
|
4,772
|
5,019
|
5,234
|
5,421
|
5,583
|
16
|
0,862
|
1,605
|
2,246
|
2,798
|
3,274
|
3,685
|
4,039
|
4,344
|
4,607
|
4,833
|
5,029
|
5,197
|
5,342
|
17
|
0,855
|
1,585
|
2,210
|
2,743
|
3,199
|
3,589
|
3,922
|
4,207
|
4,451
|
4,659
|
4,836
|
4,988
|
5,118
|
18
|
0,847
|
1,566
|
2,174
|
2,690
|
3,127
|
3,498
|
3,812
|
4,078
|
4,303
|
4,494
|
4,656
|
4,793
|
4,910
|
19
|
0,840
|
1,547
|
2,140
|
2,639
|
3,058
|
3,410
|
3,706
|
3,954
|
4,163
|
4,339
|
4,486
|
4,611
|
4,715
|
20
|
0,833
|
1,528
|
2,106
|
2,589
|
2,991
|
3,326
|
3,605
|
3,837
|
4,031
|
4,192
|
4,327
|
4,439
|
4,533
|
21
|
0,826
|
1,509
|
2,074
|
2,540
|
2,926
|
3,245
|
3,508
|
3,726
|
3,905
|
4,054
|
4,177
|
4,278
|
4,362
|
22
|
0,820
|
1,492
|
2,042
|
2,494
|
2,864
|
3,167
|
3,416
|
3,619
|
3,786
|
3,923
|
4,035
|
4,127
|
4,203
|
23
|
0,813
|
1,474
|
2,011
|
2,448
|
2,803
|
3,092
|
3,327
|
3,518
|
3,673
|
3,799
|
3,902
|
3,985
|
4,053
|
24
|
0,806
|
1,457
|
1,981
|
2,404
|
2,745
|
3,020
|
3,242
|
3,421
|
3,566
|
3,682
|
3,776
|
3,851
|
3,912
|
25
|
0,800
|
1,440
|
1,952
|
2,362
|
2,689
|
2,951
|
3,161
|
3,329
|
3,463
|
3,571
|
3,656
|
3,725
|
3,780
|
26
|
0,794
|
1,424
|
1,923
|
2,320
|
2,635
|
2,885
|
3,083
|
3,241
|
3,366
|
3,465
|
3,543
|
3,606
|
3,656
|
27
|
0,787
|
1,407
|
1,896
|
2,280
|
2,583
|
2,821
|
3,009
|
3,156
|
3,273
|
3,364
|
3,437
|
3,493
|
3,538
|
28
|
0,781
|
1,392
|
1,868
|
2,241
|
2,532
|
2,759
|
2,937
|
3,076
|
3,184
|
3,269
|
3,335
|
3,387
|
3,427
|
29
|
0,775
|
1,376
|
1,842
|
2,203
|
2,483
|
2,700
|
2,868
|
2,999
|
3,100
|
3,178
|
3,239
|
3,286
|
3,322
|
30
|
0,769
|
1,361
|
1,816
|
2,166
|
2,436
|
2,643
|
2,802
|
2,925
|
3,019
|
3,092
|
3,147
|
3,190
|
3,223
|
31
|
0,763
|
1,346
|
1,791
|
2,130
|
2,390
|
2,588
|
2,739
|
2,854
|
2,942
|
3,009
|
3,060
|
3,100
|
3,129
|
32
|
0,758
|
1,331
|
1,766
|
2,096
|
2,345
|
2,534
|
2,677
|
2,786
|
2,868
|
2,930
|
2,978
|
3,013
|
3,040
|
33
|
0,752
|
1,317
|
1,742
|
2,062
|
2,302
|
2,483
|
2,619
|
2,721
|
2,798
|
2,855
|
2,899
|
2,931
|
2,956
|
34
|
0,746
|
1,303
|
1,719
|
2,029
|
2,260
|
2,433
|
2,562
|
2,658
|
2,730
|
2,784
|
2,824
|
2,853
|
2,876
|
35
|
0,741
|
1,289
|
1,696
|
1,997
|
2,220
|
2,385
|
2,508
|
2,598
|
2,665
|
2,715
|
2,752
|
2,779
|
2,799
|
36
|
0,735
|
1,276
|
1,673
|
1,966
|
2,181
|
2,339
|
2,455
|
2,540
|
2,603
|
2,649
|
2,683
|
2,708
|
2,727
|
37
|
0,730
|
1,263
|
1,652
|
1,935
|
2,143
|
2,294
|
2,404
|
2,485
|
2,544
|
2,587
|
2,618
|
2,641
|
2,658
|
38
|
0,725
|
1,250
|
1,630
|
1,906
|
2,106
|
2,251
|
2,355
|
2,432
|
2,487
|
2,527
|
2,555
|
2,576
|
2,592
|
39
|
0,719
|
1,237
|
1,609
|
1,877
|
2,070
|
2,209
|
2,308
|
2,380
|
2,432
|
2,469
|
2,496
|
2,515
|
2,529
|
40
|
0,714
|
1,224
|
1,589
|
1,849
|
2,035
|
2,168
|
2,263
|
2,331
|
2,379
|
2,414
|
2,438
|
2,456
|
2,469
|
41
|
0,709
|
1,212
|
1,569
|
1,822
|
2,001
|
2,129
|
2,219
|
2,283
|
2,328
|
2,360
|
2,383
|
2,400
|
2,411
|
42
|
0,704
|
1,200
|
1,549
|
1,795
|
1,969
|
2,091
|
2,176
|
2,237
|
2,280
|
2,310
|
2,331
|
2,346
|
2,356
|
43
|
0,699
|
1,188
|
1,530
|
1,769
|
1,937
|
2,054
|
2,135
|
2,193
|
2,233
|
2,261
|
2,280
|
2,294
|
2,303
|
44
|
0,694
|
1,177
|
1,512
|
1,744
|
1,906
|
2,018
|
2,096
|
2,150
|
2,187
|
2,213
|
2,232
|
2,244
|
2,253
|
45
|
0,690
|
1,165
|
1,493
|
1,720
|
1,876
|
1,983
|
2,057
|
2,109
|
2,144
|
2,168
|
2,185
|
2,196
|
2,204
|
46
|
0,685
|
1,154
|
1,475
|
1,695
|
1,846
|
1,949
|
2,020
|
2,069
|
2,102
|
2,125
|
2,140
|
2,151
|
2,158
|
47
|
0,680
|
1,143
|
1,458
|
1,672
|
1,818
|
1,917
|
1,984
|
2,030
|
2,061
|
2,083
|
2,097
|
2,107
|
2,113
|
48
|
0,676
|
1,132
|
1,441
|
1,649
|
1,790
|
1,885
|
1,949
|
1,993
|
2,022
|
2,042
|
2,055
|
2,064
|
2,071
|
49
|
0,671
|
1,122
|
1,424
|
1,627
|
1,763
|
1,854
|
1,916
|
1,957
|
1,984
|
2,003
|
2,015
|
2,024
|
2,029
|
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