tablas de valores de anualidades

r MATtMAnCAe ;tNANCt!iAt

l -7 -/a

TABLA I Vak¡rcs drl factor dc v¡k¡¡ lulurr¡ ¡ lnteré¡ t .orrr¡ruerloNotaciírn estilntl¡r: (l'/1,, l)ti,, ¡t)

Notacií¡n algebraica: ( l + i) , ,

*c" Iq"

' lARl.A I V¿l¡r I r ¡ t le l l ¡ r l l ¡ l t l l vr t l t l ¡ l t l l t t l i l ¡ l i t t l ¡ ' tFB r i l ' i l l r l l ' t t l l r

Nr, l . r , t " t r ' I i l r ' l t l l l ¡ ' '

1 t r l

N" l . r ' t " ¡ r ' r l ¡ ' r ' l ' t ' t i r ' l l l | ¡ l '

1,0025 00001,0050 06251,0075 18771,0100 3766I,01 25 6266

1,0150 94061,0176 31801,0201 7588L,0227 26321,02á2 8313

I,O27a 46341,0304 r5961,0329 92001,0355 ?448r,0381 6341

1,0407 5882r,0433 60721,0469 6912I,0485 84041,0512 0ó50

1,0538 33521,0564 68101,0591 09271,O6t7 57047,0644 1144

7,0670 72471,0697 40157,0724 14601,0750 9553I,O777 832?

1,080477731,0831 7892I,0858 86871,0886 01591,0913 2309

1,0940 51401,0967 86531,0995 28507,1022 77321,1050 3301

1,1077 95591 ,1 1 05 6508I,1133 41491,1161 24851,1189 1516

|,1217 7245l , l 245 1673t,1273 2802r,r30l 4634t.r3zt l 7 l7 l

I ,0033 33331,0066 77?81,0100 33371,0134 00151,0167 7815

1,0201 67411,0235 67971,0269 7986I,0304 03131,0338 3780

1,0372 83931,O4O7 4L54I,0442 10681,0476 91381,0511 8369

1,0546 87631,0ó82 03261,0617 30601,0652 69?11,0688 2060

1,0723 83341,0759 57951,O195 44481,0831 42961,0867 5344

1,0903 ?5951,0940 10537,0976 57241,1013 16091,1049 8715

I,1086 7044r,1 1 23 66011,1160 ?3891,1 197 94 14r,1236 2679

|,7272 71871,1310 29451,1347 99551,1385 82211,1423 7' t 48

1,1461 854r1 , i 500 06031 ,1 538 39381,1576 85511,1615 4446

1,1654 16281,1693 0100r,1731 9867r,1?71 0933I,1810 3303

1,0041 666?1,0083 5069r,0125 52161,016? 7112r,0210 0?67

1,02ó2 61 871,0295 33?91,0338 23621,0381 31111,0424 ó666

1,0468 00231,0511 61901,0ó55 4174I,0599 39831,0643 5625

1,0687 9106t,o732 44361,0777 \6211,0822 06?01,0867 1589

r,09L2 43871,095? 90721,1003 56521,1049 41341,1095 4526

1 ,r 141 68361,1188 10?3r,t234 72441,1281 5358t,1328 6422

t,1375 7444L,7423 14341,1470 7398I,1518 5346r,1566 5284

t,t674 72231,1663 11701,1711 71331,1760 51211,1809 5142

1,1858 7206r,1908 13197,1957 7 4911,2007 67311,2057 6046

1,2707 84461,2158 29401,2208 9536|,2259 42421,2310 9068

1,0050 00001,0100 26001,0150 75131,0201 5050t,0252 6125

1,0303 77511,035ó 29401,0407 07041,04ó9 10581,0ó11 4013

1,0563 9ó831,0616 77811,0669 8620\0723 2113I,0776 8274

1,0830 71151,0884 86511,0939 28941,0993 98581,1048 9568

1,1104 20061,1169 7216t,t275 5202t,L27L 59781,1327 9ó58

1,1384 ó9551,1441 ó1851,1498 7261I,r556 21971,1614 0008

t,L672 07081,1?30 4312r,1789 08331,1848 02881,1907 2689

1,1966 80521,2026 63931,2086 77257,2147 2063r,2207 9424

L,2268 982rL,2330 52701,2391 9?861,2453 93851,25t6 2082

r,2578 78921,2641 68321,2704 89L6r,2768 4r6tt,2832 2581

1,0068 3333r,0117 0069l ,0r?6 02281,0235 3830r,0295 0894

1,035ó 14401,04r5 64901,0476 30641,0ó37 4182r,0598 886ó

1,0660 71331,0722 90081,0785 45l l1,0848 36621,0911 6483

1,0975 2996L,ro39 32221,1103 7182r,1168 48991,1233 639ó

r,1299 16901,1365 08087,1431 377r1,1498 06021,1665 1322

1,1632 69551,1700 45231,1768 70491,1837 36ó7I,1906 4069

1,1975 86107,2046 72021,2r15 98691,2186 6634r,2257 7623

7,2329 25591,240r 1765I,2473 51671,2546 27891,2619 4655

1,2693 07917,2767 t22O1,2841 59691-,29t6 5062r,299L 8525

1,3067 63831,3143 86621,3220 53881,3297 65861,3376 2283

r,o0órt 6667r ,013$ ?' f ? ñ1,020 t ; t ¡6á1,0260 J¡ñ:¡I ,093? 80? f i

1,0¡¡06 ?2l l l1,0476 t0{{1,0ó4ó 94tt I1,0616 2ótar,0687 o26¡¡

1,0768 2?321,0829 9961r,0902 r9ó01,09?4 8?631,1048 0422

1,1 121 69681,1 196 84041,1270 47941,1345 61 69L,742r 2633

1,1497 39601,1574 04431,1651 20461,7728 87931,180? 0718

1,1885 7857r,1965 0242t,2044 79rL1,2L26 0897t,2206 9236

L,2287 2964r,2369 2t771,2451 673L7,2534 68431,2618 2489

L,2702 3706r,2787 0530r,28?2 30001,2958 1163r,3044 5028

1,3131 46611,3219 00921,3307 13601,3395 8602r,3485 1559

1,357á 05691,3665 ó5731,3?56 6610r,3848 37211,3940 6946

r,0076 00001,01 ó0 ó02ó1,0226 6S17r,0303 39191,0380 6673

r,o458 62241,0ó36 96131,0615 98851,0695 6084r,0776 A256

r,0856 64411,0938 06901,1020 10451,1102 75531,1186 0259

1,1269 92111,1354 44661,1439 60391,1525 40091,1611 8414

1,1698 9302r,1786 67227,L875 07231,1964 13531,2053 8663

1,2t44 2703t,2235 3523t,2327 1\751,2419 5709t,25t2 71,76

1,2606 ó630| 1,2701 1722; 1,2796 3?06: t,2892 3434: 1,2989 0359

: 1,3086 4537: 1,9184 6021i 1,3289 4866Í r ,9383 11284 1,3483 4861

4 1,3584 61234 1,3686 49694 r ,3789 14564 1,?892 56424 1,3996 7584

4 1,4101 ?3414 1,4207 49774 r ,4814 05334 7,4421 40876 1,4529 5693

| , { ) 100 0000r,0201 00001,0303 01001,0406 04011,0610 1006

r,0615 20151,0?21 36351,0828 56711,0936 8527t,to46 2273

r,11ó6 68351,1268 25031,1380 9328r,L494 742L1,1609 6896

L,L725 74641,1843 04431,1961 4?481,2081 0895r,2207 9004

r,2323 91947,2447 1686t,25716302r,2697 34651,2824 3200

1,2952 663r1,3082 08881,3212 90971,3345 03881,3478 4892

1,3613 27401,3749 40681,3886 9009t,4025 76997,4766 0276

1,430? 6878r,4450 76477,4595 27241,4741 22611,4888 6373

1,5037 12371,5187 89891,6339 7779|,6493 L7571,ó648 1075

1,5804 5885r,5962 63441,6722 2608I,6283 48341.6446 3182

| ; , '1,

I .O I ' ,11, ( l ( l ( ) ( ,

I ,O2h I l ¡ l l ' . l l 'I ,03711 71) ' / ( )l ,0h{)1) 4f t l } ' l1,O641) 821r '

1,0773 8: t I u

1,090t1 tr04'/I ,1 044 t l ( i I o1,1182 92l f t1,1322 708: l

t , r464 24221,160? f¡4 62t, t7 52 63gt1,1.899 54?t,1,2048 291u

1,2198 89551,23ó1 38r7t,2606 77391,2662 0961t,282O 3723

1,2980 62?0r,3142 88481,3307 17091,3473 5r051,3641 9294

1,3812 45351,3985 10921,4159 92301,4336 92211,4516 1336

1,4697 58531,4881 30511,5067 3214r,5255 66291.,5446 3587

1,5639 43821,5834 93121,6032 86787,6235 27871,6436 1946

1,6641 6!711,6849 667?1,?060 28851,7273 54211,?489 4614

t,7708 07971,7929 43061,81 53 54851,8380 46?91,8610 2237

I l ' r '

l ,O I f |O OOOIII , ( ) l lO, 2t t (X)l ,O4l){ i 7t t : l t l| , (x i I t i l i i lht ,t ,o7'J" l t t40{)

t ,o1)34 432{ iI , l o9¡ l 4 41) |l , l 2( i4 0251)1, t .133 t i l )9¡ il , l ( ;o5 4rJ8: l

I ,177{) 4t |94t , l 956 l8 17l ,2 l3 l ' 5244|,2317 Í>;¡73l,2i¡O'2 32Q7

1,2689 U555I,2880 20331,3073 4064I ,3269 507 51,3468 5501

1,3670 57831,38?5 63701,4083 ?7151,4295 02811,4509 4535

1,4727 09531,4948 00187,1172 22781,5399 80511,5630 8022

7,5A65 26421,6103 24321,6344 79181,6589 96371,6838 8132

1,?091 39641,7347 76631,760? 9t l2t t1,7 812 70261,8140 l t l , ¡ |

1,8412 ?tuir l1 ,868tt .1',¡ I l1,896t | 7 l l t l : ' ,1,92f) : l : l j l ( l?1,9Í)4i l I : l l ) |

1 ,1) t l i l l ' . i t ¡ l IZ¡0l l : ! / ! t l i r: r , { ) ,1: l . l / l | " ' ! l2,{} / ,1 I i l l l , ¡ l ii ' l . lOr,? l ' / '1 l

r , i " t .

l , ( t l ' / l ' l ) l ) { l r l

l ,O: l l ' : l ( l { " ' ,11,

I . ( |5: t l t4 l I

1,07 I I h1l( l i l

l ,ot)0( i I { lh l i

t , |01)/ ( )2: l l ,

r ,121) I 221I 't , l4¡J¡ l f l l / t l

l , l { i f l1 l f t7: l l

I , l f |1) , t 4441)

| , '¿l( , '¿ l rrJ l ' l

l ,231.4 39: l I

1,2529 t t9ó0

r,274t 168',¿1,2912 27t16

1,3199 29361,3430 2t |1t1,3665 31 1 11,3904 45401,4747 7t t20

1,4395 3681t,4647 287r1,4903 614( it,5t64 427111,5429 80t¡4

1,5699 t}2007 ,59',1 4 l7 illl\ ,6254 lz\t(l1,653tt l-,7(l: l1,682f1 00 I i l

1,7 I 2: l . l1r I l ll .?4' .1 ' .1 l :1411l , l ' l '¿ ' l o ' ; ' ; : ll , t io i l / L l , l l r : 'l ,H: l l ' : ' l l l l / r l

t , l t r i / . t 0/ : ! /l , ! l l ) l l l l l l l ¡ l t l l

1,1| : l :11 l r l I I

| , ! r ¡ / | i I l l I

' , " t l l l I l ' ! l / | I

' ,0 l l ¡ r ¡ . r , t , '

'0 l l ' l ¡ r ¡ ' l

' . I r ,x! , l l r : t r l

' .1 l l , l l r l l r l

I l l lJ t t ¡ f , r - '

fA¡t Ar

1. i l ' , l i l l r l l l l l l l l

t ,o,¡ l ) I t l ( | l I l l

1,0{ i | . ' ( l l l l l ( l

l , { l l t r ' l ; l : l l l ¡

t , l ( l , l0 l1{ l l l { l

l , l : l r ¡ l l i :1.1i '

l , l , l8(¡ Hf ' l l /

l , l / l ( i I '11: l l l

| , | 1) t r { ) 1} ' , l l t /

t , : t I ¡ r1r l |44: l

l , : )4: t i l 74: l I

I ,2( i t { : t ,1 | / 1l

1,211: l ( i l ) ( i ( i : l

| ,3 | 1) , ¡ 7 l t7( t

l , l l4 l ¡ ¡ l { i f t i t ' l

| ,J ' lz l l lh l I

1,400: l . l l . l " '

| ,421t" ' . nt l ' , t . t ,

l ,4 l r ( in | | l /

l ,4t l t ¡1) n / ' l t t

l , l ) I t ' l i t l l ¡ .1 |

| ,1, .1[ ! ] / l r l ¡ ,

l , l ' / { i l l l l l l ) l l

l ,${ l l l l ; l / r r ,

l , t i l i l ¡ , l l l ' l l ! ¡

t ,0/ . t l l l l l I

l , /0t i , l ñ l ¡ l ¡

l . / I |0. ! t . ' I

t , / / t , ¡ t l ( l r l

l , l l | | | l r I l , t l

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3tu l'x'i 'rs l *123

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2l22232425

2627282930

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lAfr l \ t \ ' . r l r ¡ t r ' : ¡ t lc l l . r ¡ l l t r lc r - . r l ' r ¡ l t ¡ l t I l l - t l ¡ t l r ' l ( i ' r or t r ¡ ' ¡ r ' ' l ' r

1,0250 00001,0506 2ó001,0768 90631,1038 r2891,1314 0821

1,1596 93421,1886 85751,2184 0290r,2488 6297L,2800 8454

1,3120 86661,3448 88821,3785 l l047,4t29 7342t,4482 98L7

1,4845 05627,5216 18261,5596 58?21,5986 50191,6386 1644

1,6796 818ó1,7215 77401,7646 10681,8087 25951,8539 4410

7,9002 92701,9478 00021,9964 95022,0464 07352,O976 67 58

2,1500 06772,2037 56942,2588 50862,3153 22t32,3?32 051 9

2,4326 35322,4933 48702,5556 82422,6195 't 4482,6850 6384

2,7527 90432,8209 95202,891 5 20082,9638 08083,0379 0328

3,1 I 38 50863,1916 9?133,27 1 4 89563,3532 7680:t ,4371 0872

1,0300 c0001,0609 0000r,0927 27001,1255 08811,,t592 7 407

1,1940 ó230r,2298 73871,266? 70081,3047 73181,3439 1638

1,3842 338?1,4257 60891,4685 33717,5725 8972r,5579 67 42

1,6047 06441,6628 47631,7024 33061,?535 06051,8061 1r.23

1,8602 94671,9161 0341r,9735 86512,0327 94tl2,0937 7793

2,7565 91272,2212 89Ol2,2879 27682,3565 65512,4272 6247

2,5000 80352,5750 82762,6523 35242,7319 05302,8138 6245

2,8982 ?8332,9852 26683,0747 83483,1670 26983,2620 3779

3,3598 98933,4606 95893,5645 16773 ,67 t4 52273,?81 5 9584

3,8950 43724,01 18 95034,1322 51884,2562 79444,3839 0602

I,0350 00007,0712 26001,1087 17881,1475 23001,1876 8631

1,2292 6t331,2722 79261,3168 09041,3628 97351,4105 9876

r,4699 69721,5110 68661,5639 56061,6186 94ó21,6753 4883

1,7339 86041,,',7946 76551,867 4 8920r,9226 07321,9897 8886

2,0694 gt472,1315 11582,2061 74482,2833 28492,3632 4498

2,4459 68562,5315 67112,6201 71962,7t14 77982,8067 9370

2,9050 31483,0067 07593,1119 42353,2208 60333,3335 9045

3,4502 66113,5770 25433,6960 11323,82ó3 71713,9592 5972

4,0978 33814,2412 57994,3857 02024,5433 41604,7023 5855

4,8669 41105 ,O37 2 84045,2135 88985,3960 64595,5849 2686

1,0400 00001,0816 00001,1248 64001,1698 58ó61,2166 5290

1,2653 1902I,3159 31781,3685 69051,4233 1 181t,4802 4428

1,5394 5406r,6070 32221,6650 7351I,7316 76451,8009 43ó1

7,8729 87261,94?9 00502,0268 76522,r068 49182,1911 23L4

2,2787 68072,3699 18?92,4647 t5542,5633 04162,6658 3633

2,7724 69782,8833 68582,9987 03323,1186 51453.2433 9?51

3,3731 33413,5080 58753,6483 81103,7943 16343,9460 8899

4,1039 32554,2680 89864,4388 13454,6163 65994,8010 2063

4,9930 61455,1927 83915,4004 95275,6165 15085,8411 7568

6,07 48 22i I6,3178 15626,57 05 28246,8333 49377.1066 8335

1,0460 00001,0920 26001,1411 66131,1925 18601,2461 8194

t,3022 60t21,3608 6183r,4227 00611,4860 95147,5529 6942

1,6228 53051.6958 8143r,7727 96101,8519 44921,9352 8244

2,0223 70162,1 133 76812,2084 78772,3078 60312,4tr7 1402

2,5202 47162,6336 52012,752L 66352,8760 13833,0054 3446

3,1406 79013,2820 09563,4296 99993,5840 36493,7453 1813

3,9138 57.154,0899 81044,2740 30184,4663 61544,66?3 4781

4,8773 78465,0968 60495,3262 79275,5658 99085,8163 6454

6,0781 00946,3516 15486,6374 38186,9361 22907,2482 4843

7,5744 I 9617,9L52 68494,2714 55578,6436 7 1079,0326 3627

1,0600 0000l , l O2h IJO0(Il , l t )?( i 2f¡OO1,21 66 OO261,2762 8l l i l l

1,3400 0ó0,11,40? I 004 27,47' , l4 66441,5613 242.2I ,6288 9463

1,7103 39301.7958 56331,8856 491 41,9799 31602,0749 2818

2,t828 7 4592,2920 14322,4066 79232,5269 5O2g2,6532 9771

2,7869 62692,9252 60723,0715 23763,22tO 99943,3863 5494

3,5556 72693,?334 56323,9207 29144,1161 35604,3279 4238

.1,5380 39494,7649 474'.15,0031 8854s,2533 479'75.51 60 1537

5,7918 16146,081.r 06946,3854 77296,704? 5115?,0399 887 1

7,3919 88157,7615 87568,1496 66938,5571 50288,9850 0??9

9,1342 58189,9059 7 r 09

10.4012 696510,9213 331311.4673 9979

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1,7081 4, l . l r i

1,8020 1r:" l r l1,90l i l l l / l l l2,00ó7 / : l r r r )2,1160 !)1.¡ l '2,2324' , t1 ' . t ' ,1

2,3562 ti'.',. to

2,484tt Ol l | : '

2,6214 (;f i ' , . ' , ' . t

2,?656 4{;1) I2,917 7 f\7 4'.1

3,0782 34153,2475 37033,4261 5L573,6145 89903,8133 9235

4,0231 28934,2444 07024,4778 43Q74,7241 24444,9839 5129

5,2580 68615,5472 62385,85 23 61 816,77 42 41716,5138 2501

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I ,111)1)0 {)4t i l l

1r , I 589 250o

:t ,331( i 3900

2,51ft I 70I2

2,? l9( i 211?: l

2,1)íJ7 I 93( i2

3,1 ?21 691 I

3,4259 4264

3,7000 1 8053,9960 19504,311-¡? 01064,6609 5?14

5,0338 33725,4365 40415,8714 63656,3411 80?46,8484 7520

7,3963 53217,9880 61478,62?1 06399,3172 7 490

10,0626 5689

10,8676 6944I 1,73?0 830012,6760 496413,6901 336 I

74,7863 442\l

l l , ' l , , "" ' l ' r r , l r r r l I ¡

!1, ' t ¡ , ¡ , ' ¡ r . ,1, ' , i ' ¡ , r r , . r l l I r l

I - ,l i r "

I23

5

r ¡ r : { l r ! ( l t ) ( lo l , ( l l i l , l l ( ' l l l l l l

| ' l ¡ ' ( l { lO( l I , l l l l l ' l l l r t l t t

| ! r | ( ! l r i ( ) ( l l , : l { r ' / ' r ' l { l r ' : l

' r i : ' l ' l ( ;1){ ; l , : l l t { ; ' l r ; r ; : l ! '

r u l l ' : l : ,1; t { I , : l ' l { lo l l l ; l ' l ;

I

I

I

b

78I

10

11t213141Á

1617181920

4l

43

4i>

t l6

4l

4f t

l1 l

: ' l )

I l l l l l , l l l l lt . r , { ) : i t i :1026I t , , r : t ¡ l , l l i07

r,r , l t1 l .1 7f196| /1ro¡t .17?0

I , ¡ r1ru: l 9856:1.() I 2 l 964?'."1:t29 2826:1,2609 039Qit , :1965 5819

2,5403 ó1682,6921 72792,8543 39153,0255 99503,2071 3647

3,3995 63603,6035 37423,8197 49664,0489 346.14,297a 70'12

4,5493 82964,A223 45945,1116 86?05,4183 8?905,7434 91-17

6,0881 00646,4533 86686,8405 8988't,2610 25287,6860 8679

l ,4 l )1,1 ' l : l : l ( l1, . ' r5 l l1 l l l ( i l r l '

l , ( i541) l l f r l i ' /1,?(; :¿5 70: l1 l7,8771J¡ l l

1,9-9{) l I l ' l ( i2,129{) 1){ i : l ' l2,267, l ts-1: í l

2,474U ',1 ,t I t\

2,57l f l l lo l

2,7390 I { ) ( ; /

2,91?0.1(; : t ' /3,10( i ( i 5 l l l r l

3,30l i f t l l { i1) |

3,5?31; I I ' l ) l i

3,752í i U l l l l l

3,91)( i ( ; { ) { ; : l : l

4,25{ i l } l l l , ' / : l4,5330 Í , t )B I4,82?í i 1r1l I I

5,141.1 1l l r l ' : ,5,4?66 9lo: l5,8316 l / : l : l

6,2106 ?11' l l ,6,61411 ( ; r i l r ;

7,0442 1)1)11(;7,5021 71i , l r ;7,9891J 2l l i l

8,5091 tr1) l r { i9,0622 s. l l l ' /

, ' ' I r ) . t l l

" | , i "

¡ ' . . , ' , , ,1. | | , , ' l

, , . l t l , r l l 11,( l i r

' ' , ' r ' l {1, l l I I "

l ' , /1, ' t l t i l | , I

i l , l l ¡ l l l l l ' , ' l

l . ' l / ' l ' r l l ¡1r11

:1,{ i I r ; l ' : l ; l , I

I t , : l r ; , r ( ] l ( I l l '

. l , I l t )1, r , : l i l ;

l , ¡ : l ( , l l l l / i

l , , ' l { }1, 11' t l l ( '

: , ,1) ' / : l : l l ; l ;1r1,

1, , l ' , ¡ I : l l ' l ; I

: , . i i r ) / : l l ,1 l ¡ ' : l

i , . ] l :J) l l ; i l ; : l

r , , i ; I r {11 : l11: t ( l

/ , I I 1 ' , l , i i ) : ,

, . r i I 11" l , : 'o ' l

11. I .1 l ' 1 I :1 ' r ( |

i1, I l : ' .1 /1) l ro

' r , : t : :1, : l : l ' . l l l ,

i r , l l / ' l { 1 l :11, ' ¡

I r l l ; / '111' l1 l ' ln

| . i , l t { l /

I . / I l i l

I , l { : i l i I

I ¡ I I , / I

2l22232425

2627282930

ót

32aa

Jb

383940

6,8720 8ó38 I , I472 5200?,2500 5008 8,6360 8712?,6488 0283 9,7642 52368.0694 8699 9,7035 07498.5133 087? r0,2857 1194

9,6513 01,1: i I l . ' l l l : j l ) 4. i le

10,2?86 360: l l ;1,"¿:1: l { ; l ¡J l l

10,9467 47: l / | : t . r i / ' r : ' / I

11,6582 8a¡95 l :1,1r1) '1t l 2( i '11

72,476O'74t ' t , \ l '1 , : r ' l ' l ¡ 5/8 '1

13,2231 19¡A l ( i ,o2:¿{; 69lJe

L4,0826 22r4 l ' / ,1442 567r1

14,99?9 9258 l t l , i | '1 '13 5475

15,9?28 6209 I e,62¡J4 69se

1?,0110 9813 2r,oo24 5r76

13,5115 35?0 15,9681 71H', l

14,52.{S 0088 1?,2456 l l r ' l ' t t

1 5,6142 6844 18,6252 / l ' ' | ' '

16,?853 3858 20, ' l I l '11 1) / r ' r l

18.0442 389? 27, '1 ' , )4 ' . ' \ ' t t ' , t t

8.9815 40?6 10,9028 61019.4?55 2650 11,ó570 32679,9966 ?940 12,2504 6463

10,5464 96?? 12,9854 819111.1266 5409 13,7646 1083

r 1,7385 1456LZ,384l 328713,0652 601?13,7838 494814,5419 61 20

14,6904 8?48 18,1168 19511ó,4659 16?3 1,9,2944 727f i16,3938 7173 20,5486 496r17,3??60403 21,88420633L8,4201 6427 23,3066 7868

t9,3975 5689 2:1.1r" , : l r r ' '

20,8523 ?366 2l ' . : l : l ' , r ' , l r r I r r i

22,4163 0168 i l / . i l ( i l ¡ ( ' {of

24,0975 2431 21t,r ' l ' ¡ '1r / | ¡ i r :

26,9048 3863 | I ! r ' 'o l r1r r ' t

22,4726 2338 2'7 ,8417 0l l '3 : ! ' ¡ l / t { r r r r ' r r

24,0467 o' tQz 29,9362 711 I l ' , r ' , I ' r " ' { ¡ I t ;

26,?289 0661 32,1f l l5 {)r) (}r l ' , l r r "

l ¡ i r ' i | | ¡

27,5299299' l l l4.51l l r l l " l f " r 1 l l " ¡ t rxrr l l

2g,457O 26OG : l ' ¡ l t l r l / ' l l i ( ¡ | ¡ r : l r i l ¡ ¡ ; I ! r ' !

I

¡I '

l {

l l

| { )

t l

| 1 l

l : t

I , I

I l ,

l { ;

t ' t

lx

13

20

¡ !

t{tr

r r .^ , r I tNANt, tFnAq

lA l t l ,A l t V¡ l ¡ r r r .s r lc l l . r t lo¡ . t l r .v.r lor l t t . r , : r r . ¡ l ( , . t l ¡ t i , l r i r r t , r ¡ r ¡ ¡ r . r l r lNol , l r rotr t .s l , rnt l ,u (1, / l , l : , , , , t t l

Nol . ¡1. i , ¡ , r . t l l l ( .1)r . ,u( , r : ( l I r ) , ,

lAFt f l l \ ' ¡ l r ¡ lcs r l I l l , t r t r ¡ r , l ' r . r l , " l t r r" ' ( r ¡ l t ' ¡ t t l l l t t ' " " ¡ t ¡ r l ' ¡ t '

l l r , t r r t ' , r ¡ , l , r r . l r r i l l t t ' l

0,99?5 06230,9950 18690,9925 37340,9900 62190,9875 9321

0,9851 3038o,9826 7 37 00,9802 23140,9777 78690,9753 4034

0,97 29 080?0,9704 81870,9680 61710,9656 47590,9632 3949

0,9608 37400,9584 41300,9560 51170,9ó36 67000,9512 8878

0,9489 16490,9465 501 10,9441 89640,9418 35050,9394 8634

0,9371 43480,9348 06460,9324 7 5270,9301 49900,927I 3032

0,9255 16530,9232 08510,9209 06240,9186 09720,9163 1892

0,9140 3384o,9t77 54450,9094 80750,9072 72'.120.9049 5034

0,9026 93610,9004 42500,8981 97010,8959 57 1 20,893? 2281

0,8914 940?0,8892 ?0900,8870 53260,8848 41r60,8826 3457

0,9966 77740,9933 66520,9900 66300,9867 77040,9834 9871

0,9802 31270,9?69 74690,9737 28930,9704 93950,967 2 697 2

0,9640 56200,9608 53350,9ó76 6r 150,9544 79550,9513 0852

0,9481 48030,9449 98030,9418 68510,9387 29410,9356 L0?1

0,9325 02360,9294 04350,9263 16630,9232 3916o,920t 7792

0,9171 14870,9140 67980,9110 3121q,9080 04530,9049 8790

0,9019 81300,8989 84680,8959 98020,8930 21280,8900 5444

0,8870 9745o,8841 50280,8812 12900,8782 85280,8753 6739

o,8724 59200,8695 60660,8666 71750,8637 9245o,8609 227Q

0,8580 62490,8552 11790,8523 7055o,8495 38?60,8467 163?

0,9958 50620,9917 18460,9876 03450,9835 0551Q,9794 2467

0,97ó3 60570,9713 r3430,96?2 83080,9632 69460,9592 7 249

0,95ó2 92110,9513 28240,9473 80820,9434 49780,9395 3505

0,9356 36ó70,93t7 54260,9278 88060,9240 37900,9202 0372

0,9163 85440,9125 83010,908? 96360,9060 26420,9012 7013

0,8975 30420,8938 06230,8900 9?490,8864 04140,882? 2611

0,8790 63350,8?54 15?80,8717 83350,8681 65990,8645 6365

0,8609 76240,4574 03730,8538 46040,8503 03110,8467 7488

0,8432 6129o,a397 6228o,8362 77?90,8328 07760,8293 6272

0,8259 10830,8224 83810,8190 71020,8156 7238o,8r22 8785

0,99ó0 24880,9900 74500,9851 48760,9802 47520,97ó3 7067

0,9705 18080,9656 89630,9608 85200,9561 04680,9513 4794

0,9466 14870,9419 05340,9372 L9240,9325 56460,9279 1688

0,9233 00370,9187 06840,9141 36160,9095 88220,9050 6290

0,9005 60100,8960 79710,8916 21600,8871 856?o,8827 7787

0,8783 7991o,8740 09860,8696 61550,8653 34880,8610 2973

0,8567 46000,8524 83580,8482 42370,8440 22260,8398 2314

o,8356 44920,8314 87480,8273 5073o,a232 94550,8191 3886

0,8150 63540,8110 0850o,8069 73630,8029 58840,7989 6402

0,7949 89070,7910 33900,78?0 98410,7831 82500,7792 8607

i;r'

0,9942 00b00,9884 34630,9827 02200,9770 03020,9713 3688

0,9657 036r0,9601 03010,954ó 34890,9489 99070,9434 9534

0,9380 23ó40,9326 83470,927r 7495o,92L7 97790,9164 5182

0,9111 36860,9058 52720,9006 99220,8953 76190,8901 8346

0,8850 20840,8798 881 5o,8747 a5240,8697 11920,8646 6802

0,8596 53380,8546 67820,8497 11170,8447 83270,8398 8394

0,8350 13030,8301 70370,8253 55800,8205 69140,8158 1025

0,8110 78960,8063 ? 5100,8016 98530,7970 49070,7924 2659

0,7878 30910,7832 61880,7?B? 19350,77 42 03t60,769? r317

0,7652 49220,7608 11150,7563 98830,7620 12090,1476 6079

i ' r

o,r ,o3: t 7 /¿t lo,1r80'/ 1)¡r|tl¿0,9t to2 r i3 ' / i ¡o,g7il't 't t$20,96?3 2i t I r )

0,9609 lo l r l f0,964 6 63;t{)0,9482 3r ' /1,0,9419 620,/0,9357 l3e8

0,9296 r 7 2()0,9233 614r,o,9L72 464t10,9111 72000,9051 3?7r,

0,8991 43460,8931 88860,4872737r0,8813 97720,8?56 6066

0,8697 62240,8640 02220,8582 80350,8ó25 9638o,8469 5004

0,8413 41100,8357 69310,8302 34410,824? 36L?o,8r92 7434

0,8138 48680,8084 58960,8031 04920,7977 86360,7925 0299

0,7872 5463o,7820 41020,7768 61940,77L7 L7t60,7666 0645

0,7615 29590,?564 86350,?514 76500,7464 99840,7415 5613

0,7366 4616o,7317 66720,7269 2058o,722L 06640,7173 2431

l *

o,t¡Olñ nAá¡lo,0l l l l l á

' | tno,077tt i t6no,e70h ña t /0,0llili l ',lol{'

0,01161 l l t l r ! , 'O,O,{0(} ,1(} ' . ! ; !0,o410 ln, l r l0,034t | r l ; l I r l0,02l lo t ) i l t ,

o,02I0 1).11).10,91411 : l t l l50,90?4 32410,9006 77330,8939 7254

0,8873 17660,8807 12310,8?41 ó6140,8676 48780,8611 8985

0,8547 79010,8484 15890,8421 00140,8358 31400,8296 0933

0,8234 33680,8173 03800,8112 19660,8061 80800,7991 8690

0,7932 57620,7873 32620,?814 ?1580,?756 54180,?698 8008

0,7641 48960,?584 605r0,7628 14400,7 47 2 L0320,?4r6 4796

0,7361 27010,7306 47160,7252 08090,7198 09520,7 1 44 51 14

0,7091 32640,?038 53740,6986 14140,6934 13530,6882 51 65

l ' l t

r ¡ , l l ) { )0 99Ol

r) .1t802 9606r ) .1r ' r06 9016r) ,1Xi09 8034() ,9514 6669

0,9420 46240,9327 1806o,s234 83220,9143 39820,9052 8695

0,8963 23720,8874 49250,8786 62600,8699 62970,8613 494?

0,8628 2126o,8443 77490,8360 173r0,8277 99920,8195 444?

0,8114 301?0,8033 96210,7964 4L790,7875 66130,7797 6844

0,7720 47960,7644 03920,?ó68 36570,7 493 4215o,74L9 2292

0,7346 77t50,7273 04L10,?201 030?0,7129 73340,7059 1420

0,6989 24950,6920 04900,6851 53370,6783 69670,6?16 5314

0,6650 03110,6584 18920,6518 99920,6454 45460,6390 5492

0,6327 27640,6264 63010,6202 60410,6141 19210.6080 3882

I : ' \

O,l l l l r{¡ r, ¡ 1 , 'O, l ) ' , h. l t i | ¡ l t ¡

o,1i l t . ¡ , t t i l . l0,1)t ' I r ¡ r ' l i t l( ) ,u:1117 , l l ¡ t r ¡

o,0?fi l , . l l¡r l0,91 l i , ¡ I r ¡1r I

0,OOl): l l l l l I r ,

o,81l . l ,a / r ) r i ! l0, t l t l : l l nol t . l

0,8'122 t t tt i0,86 I t ) { l l l r i r l0,8t)Ott / ' .1{¡1r0,84O:l l i t lo ' l0,8201' 1r : l l r l

0,811) ' / , t l i . l : '0,809{ i : l l i | | : '0,?99( i : l l ) l i l0,781)? Lt l r ; r '0,?800 {} l t l ' l '

0 ,77O:l 7 l l ¡ l I0,760¡J (; ' ,/11{'

0,751 4 ' , / .1r ' : l

0,7 421 \ t l t t l0,7330 :1.¡ | |

4,7 2:l l, u't:t l0,7150,11;: l r ;0,7Ofi2 I ¡ l l ' ; l0,69?.1 1){ ' i 80,688tt ft¡ l{;1

0,6803 ¡l:ttt70,6719 t t4()70,6636 lJ?9' , l0,6554 94?1)0,647 4 0l ' t ' t

0,6394 09160,631 5 1 5220,6237 18?30,6160 18500,6084 133.1

0,6009 02060.5934 83520,5861 56560,5789 20060,5777 72SO

0,56,1? 13970,557?.12190,5508 56490,5440 55?90.5373 3905

! r : l t { ! r ¡ { i | / : '

o:r : , r t I I r i i ¡ l t

r r ' l l l l l l l l l

" l ¡ r l ' ¡ ¡ r l | |

r ) ,1) i l . tu 0{)1rt l

l ¡ . t l t i l ¡ l l 1 l / ' / ' , /

o.1). l l ) ' ,¿ Ul ' 2t l

r ¡ ,1) : l ' .111 { ' f t l ' I

{ l ! ) | l i l l I i¿ l }4

. ;11.

o.1r i lO:t 1)2l t io. l t ( i l I l i l l /H¡ ,\t 4:/-1t 22:l: l( l ,1 l2 l l t t 4t ,4: l{ ) , ¡JOh7 : t0¡ l I

o,88?11 ? I 380,87rJt¡ (iO I t io, f r634 903' /0,8367 56270,f1203 4830

o,8042 6304o,7 884 93 1 80,?730 3253o,7 5',18 'l 5020,7430 14?3

0,7284 45810.? 141 62560,7001 593?0,6864 30760,6729 7733

0,6597 ?5820,6468 39040,6341 5592o,62t7 21450,6095 3087

0,59?5 79280,5858 62040,5'143 14550,5631 12310,5520 7089

0,5412 45970,5306 3330o,6202 28730,5100 281 ?0,5000 2761

0,4902 231 50,4806 r0930,4711 f l7 l l )0,4619 4 r '12 ?0,4528 9O,l1l

L-3 -/O

l^l-/o n-/" )v,

I234

6789

10

l1t213l4IO

161',t181920

2722

25

r ! 1 l I l l ¡ t l ' l ' r 1 l ,1 lOI I 4:¿t)4

i l r r l ¡ r . r , , ' r r r .HHl, t ; .1: l7H

,,r t | r . t t t . ' t . l l / l ) . ¡ l l l ) ' /

, ¡ , r , r ' , r , . t r r . l l l , l , ¡ 41:16

r) , r , t r , r , ; . t " .Hl l ) ' / 2f t l ;O

0 i r l r l r r l lo¡

rr / ( , l , r I I l . . l

r r / l l / ( l l : '

¡ ) / l l l ' l / ' l l ,

( ) . / lor t | ¡ ¡ ) l l

( l l ¡ l l ¡ ) l ' l l l , t l l l

t ) .1; l r l : l l , l { l l /

0, t , : t , t , r , ; l . l ; t

0. t ; : t t ) : t { ) /H I() . { ; ] ( r ( r . l , l ( l?

O, l ; l l l ( l l ' l ; l l

o.r ;o?' t / l (J /

o, i , ¡ | l t1 r l ( ; { )n

{) l )n ' , { l 311' / I

0,1 ' / ( i I ,1: l ( )1)

O. l , ( i /1) i ) l ' ¡ l l l

i l l , l1) : , : l l ? l ;

O, l , l , I 1 l l i i l l ]2

l ) , l i l l i l I : , : ¡ i l

O, l ¡ l l l ¡0 l l l |2 i r

0,5i t7 l r ' l l l t : l

0,5 | 1) i r 1,061

0.5t17 119,1

l) ,50.1 1 : ,205

{) ,4967 0212

0,4¡193 6170

0,4821 29?5

0.47s0 0468

( ) , r t?( i ' .1 t ; t l t j l )0.8l : ]0 578tto, /1) lJ0 1) lzt lr ) . ' / l t , l3 6490rt . / / ( ) ¡ i 7459

l , / l ¡ ' / l i l63lr | ,7 4,1I) ¡1605i) ,7: t l7 7990{r . ' /11) l 9401o,7(xi¡J 2458

r) . ( i946 6789o.t ;u2' t 2028{) . r ;709 7817o,{ i594 3800o,( ;480 9632

r) ,6369 4970() ,6259 9479{) ,6r 52 2829o,6046 4697tu,t942 4764

1),5840 2716() ,5739 824' l( ) ,5641 10530,5544 08390,5448 731 1

0,5355 01830,5262 91720,51?2 40020,5083 44000,4996 0098

0,491 0 08340,4825 63480,4742 63860,4661 06990,4580 9040

0,4502 11?O0,4424 6U500,4348 5¡1. , ¡{ ) ,42?3 7934J.420O 2l¡ t1: l

0,4,140 l0 i l I

0, .11]5: l o. l l : r

0,4 2( i i ( ; tJ i : ,

0,4 I l l ¡ l , l ) / I

{ ) . l Io| ' ) r ; l l ( r

r ) , . ¡ { }2 | l ' : t / .1r) , : t1) t " , t , t r . t r ,o. : lu( ;1 ' : r / r , Io, . l /H' , l ¡ l t . l . lt ) .1 / | , ? / l i l r

2627282930

31

3334

3637383940

{1

t3I4t5

t6t7IBl9

'0

I

: ,

{ ;

l1

: l

to

l l

l '¿

l3

74

l5

16

77

18

lq

20

212223

25

262',72a2930

3l

:i3: ]4I t r ¡

: t t ;l i

. i l i

: t ' l

t i l

t : '

¡ t

¡g

q MATTMATTCA¡ nNAitO|liAl

TABLA ll Valores dcl factor ¡lc valor pr(.Ét nlc rNolaciírn estifutd¡r: (l' l l , t'1,,, ttl

Notación algebraica: ( l + r) '

3rc"

TAHI AÉ

Inleré¡ ( ' r t t tr l ru€rlrf

qI*r t -

'

TA¡!T l l t rb l rx ur t lc l l ¡ r ' l ¡ r r r lc vakrr | l [ r r . ¡ . u l r ' ¡ i r t lcrr i ¡ r ' rur t l t r r r 'ñ l l t

Nol, t r t ¡ r t r ' ' , l , r t r ¡ l , r t ( l ' t l . t " i , t t l

z|1o óts% 47o

0,97ó6 09?60,9518 14400,928ó 99410,90ó9 ó0640,8838 6429

0,8622 9687o,8412 65240,8207 46570,8007 28360,7811 9840

0,7627 44780,7435 55890,7214 2038o,7o77 27200,6904 6656

0,6736 24930,6á71 9506,0,6411 65910,6255 27720,6102 7094

0,5963 86290,5808 64670,ó666 97240,5528 75350,6393 9059

0,5262 34720,5133 99?30,5008 77780,4886 612á0,4767 4269

0,4611 14810,4t37 70560,4427 02980,4319 0534o,42r? 7107

0,4110 93?20,4010 67050,3912 84920,381 7 41390,3124 3062

0,3633 46950,3544 84830,3458 38860,3374 03?6o,3297 7 440

0,3211 45?60,3133 12940,3056 71160 ,2982 757 60,2909 4227

0,9?08 73790,9425 9ó910,91ó1 41660,8884 87050,8626 0878

0,8374 84260,8130 9151o,7894 09230,?664 16730,7440 9391

0,7224 2L280,7013 79880,6809 61340,6611 17810,6418 6195

0,6231 66940,6050 16450,5873 94610,ó702 86030,5536 7576

0,5375 49280,5218 92á00,6066 91750,4919 3374o,4776 0667

0,4636 94730,4501 89060,4370 7675o,4243 46360,4119 8676

0,3999 871ó0,3883 3703o,3770 26250,3660 44900,3553 8340

0,34ó0 32430,3349 8294o,3252 26160,3167 5e550,3066 5684

0,2976 28000,2889 6922o,2805 42940 ,27 23 717I0,2644 3862

0,2567 3653o,2492 68760,2419 98800,2349 50290,2281 0708

0,9661 83670,9335 10700,9019 42710,87L4 42230,8419 ?317

0,8135 00640,7859 90960,7ó94 11ó60,7337 309?0,7089 1881

0,6849 45710,6617 83300,6394 04150,6177 8l?90,5968 9062

0,5767 06910,5572 03780,6383 61140,5201 55690,502ó 6588

0,4855 70900,4691 50630,4532 85630,4379 57130,4231 4699

0,4088 37670,3960 L2240,3816 54340,3687 48150,3562 784L

o,3442 30350,3326 89?10,3273 42710,3104 76050,2999 7686

0,2898 32720,2800 31610,2?0ó 61940,2614 L260o,2625 7247

0,2440 31370,2357 ?9100,2278 05900,2201 0231o,2126 5924

0,2054 67870,1985 19680,1918 06450,1853 20240.1790 ó337

0,961ó 38460,9245 562L0,8889 96360,8548 04190,82L9 27LL

0,7903 14530,7699 17810,7306 90210,7025 86740,6756 6417

0,6495 80930,6246 97050,6005 74090,6774 750A0,5552 64ó0

0,6339 08180,5133 73260,4936 28120,4746 42420,4663 8695

0,4388 33600,4219 55390,4057 263?o,3901 21470,3751 1680

0,3606 89230,3468 16570,3354 77470,3206 51410,3083 186?

0,2964 60260,2850 57940,27 40 94170,2635 5209o,2534 1547

0,2436 68720,2342 9685o,2262 85430,2166 20610,2082 8904

o,2002 77930,1925 74930,r851 68200,1780 46350,1711 9841

0,1646 13860,1582 82560,1621 94760,1463 41120,1407 1262

0,9669 37800,9167 29960,8762 96600,8386 61340,8024 5106

0,7678 95740,7348 28460,7031 8513o,6729 04430,6439 2768

0,6161 98?40,5896 6386o,6642 7L640,5399 72860,5L67 2044

0,4944 69820,4731 76390,4528 00370,4333 01790,4\46 4286

0,3967 8?430,3797 00890,3633 50130,3477 03470,3327 3060

0,3184 02480,3046 91370,2915 ?0690,2790 16020,2670 0002

0,2565 024t0,2444 999L0,2339 71210,2238 9589o,2742 6444

0,2050 28L70,1961 99210,1877 50440,1796 65490,77L9 2870

0,164ó 25070,1574 40260,1506 6054Q,t44t 72760,1379 6437

0,1320 23320,1263 38100,1208 97710,1156 91580,1107 096ó

0,9ó28 80eñ0,9070 29{E0,86S8 8?000,8227 Q2410,7836 201?

0,7482 76400,7106 81330,6?68 89360,6446 08920,6139 1326

0,ó846 79290,5568 37420,5303 21360,5050 67960,4810 1710

0,4581 11620,4362 96690,4155 20660,395? 33960,3768 8948

0,3589 42360,3418 49870,32ó5 71310,3100 67910,2963 0277

4,28t2 40730,2678 48320,25ó0 93640,2429 46520,2373 7746

0,2203 59470,2098 661?0,1998 ?2540,1903 54E00,1812 9029

0,7726 57410,1644 36630,1566 0536o,r49\ 47970,1420 4568

0,1352 81600,r288 39620,1227 04400,1168 61330,1112 965r

0,1059 96680,1009 49210,0961 42110,0915 63910.0872 03?3

0.9a?t a?100,89t{ t¡al0,8órc ltta0,80?¡ la?{0,?6ól tatl

0,736¡ a¡rl0,68?{ taf¡0,661ó otl?0,61?C t¡ta0,68óa to¡r

0,6ú¿0 10ü00,62ó0 Elt¡0,,198ó 606t0,,t72ó 60t?0,,r4?9 8t06

0,4246 81000,4024 {8680,381,0 669003616 ?9060,3427 2896

0,3248 61ó80,3079 2667o,29t8 72670,2?66 56560,2622 3370

0,2486 62760,2366 04500,2233 21810,2116 ?9440,2006 4402

0,1901 83900.1802 69100,1708 71190,1619 632r0,1636 1963

0,1455 16240,1379 30080,1307 39410,1239 23620,1174 6314

0, l1al $ó280,1r99 o0a40¡al16 | 0260t ' r t l l l 93660¡r47r ó81?

0,?o{9 6064o,t0b0 6?110,ñr?{ 1237o,ñ9r8 9E460,tró83 9478

o,0267 87ó3o,1¡069 69360,4688 39020,4423 00960,41?2 6606

0,3936 4628o,3713 64420,3603 48790,3305 13010,3118 0478

0,2941 66400,2?76 0610o,28L7 97260,2469 7E660,2329 9868

0,2198 10080,2078 6?960,1966 30140,1846 66?40,1?41 1013

0,1642 64840,1ó49 67400,1461 86220,13?9 11630,1301 0622

0,t227 in770,1167 93180,1092 88860,1030 66620,0972 2219

0,0980 67 l {0,8816 óe280,8278 40000,??73 28000,7208 8084

0,6863 84r20,6436 062r0,6042 3r r90,6673 ó9230,6327 2604

0,6002 t2240,4696 82860,4410 16760¡141 00260,3888 2662

0,3660 96330,3428 r26l0,3918 89690,3022 43840,2837 9?03

0,2664 76080,2602 r22a0,2349 4r l l0,2206 0r980,2071 3801

0,1944 96700,1826 261ó0,1?14 79020,1610 r .3160,1611 8607

0,1419 687tt0,1832 94600,1261 692óo,tt76 20420,1103 ,1781

0,1036 12070,0972 89r70,0918 ó13,10,0867 76900,0806 4076

'1"

0,9E{n 704{o.ñ?64,1H7n0,8I d ' ¡ r ¡7Hn0,?0¡ l l 0 l t l Io,? I '¿u | |d I H

{) .000¡t at '12od¿l¡7 arr ' ¡ r(,,ñltt{) (,t¡ | {)( ) ,b{ l lo l l i r?,¡o,lr08n ao¡tl

o,,1'l¡ ' l l 9lüo( l ,a¡a(t I lgtro.a ¡ {0 oaab0.$8?8 | 7 ' lao, l l62{ { l to2

o.I, i | l t r :t,¡ü(,o, l ¡10ñ' , { l l l lo,l9bl| 0:Jt¿2o, l?0b olül : lo,26lr{ 11100

() , ' ló l f ' l i l ( ) t t( ) ,21t ' ' , ¡ : l l70, t | 01, 4{ t t rH0, l u ' l l ar Í tzo, t B, t ' . r ,11, ln

{) ,17' .1Mr, , t l )o, l i lou: to l l?o, t ño, l 0r2l0,14on 028'¿o, l i l l i t 67 12

() ,1 t27 7i to l{ ) ,1 l i lT 4l l3o. l o?2 ${70o, lo(12 10340,001¡o 0204

O,O8?r) 3ó46o,oli i l t 0884o,o?o4 ó086o.07 I { 6601o,0607 8098

7l%

(' ,0: to2 3266o,tiobl, 3261o.804f) 0067(),? 4rJrJ 00691),{ lOl} t r 6863

0,0470 0162{},0027 ó,190{),fi(t0'/ 0228t),62 I tr ti34?{1,¡18Ó I 0393

o,¡rbl3 4319o,4 198 6413r) ,8906 61980,30:t3 134?o,8979 6602

o,:t 143 86990,2924 63020,2720 49320,2630 69130,2364 1316

0,2189 88970,2037 10670.r894 9830o,t762 77490,1639 ?906

0,1 626 38660,1418 96430,1319 9668oJ227 a76ro, l 142 2103

0,1062 62120,0988 39180,0919 48430,0866 28?70,0?96 6164

0,0?40 10830,0688 4729o,0640 43990,0696 75800,0664 1936

0,92ó9 26930,8673 88820,7958 32240,7360 29860,6806 8320

0,6301 69630,6834 90400,6402 68880,6002 489?0,4681 9349

0,4288 82860,3971 13760,3676 97920,3404 61040,3162 4170

0,2918 904?0,2?02 68960,2602 49030,2317 12060,2146,t821

0,1986 567ó0,1839 40510,r703 16280,1676 99340,1460 1?90

0,1352 01760,1261 86820,1159 13?2oJoTa 27620,0993 7733

0,0920 16060,0862 00050,0788 88980,0730 46310,0676 3464

0,0626 24680,06?9 86720p636 90480,049? 18410,0460 8093

0,0426 21280,0394 04110,0866 408,(0,0838 34r10,0818 278f1

0,0teo 0?800.0168 68610.02{0 690lto,0t80 16980,0glB 2¡1n

6l% a%

q

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12345

6

89

10

11L2131415

16L7181920

2L22232426

2627282930

3182388!t36

36879889{0

,t lt2a:l{aaó

{ol',IB41,Iill

6

8I

10

l lL213I416

t6l t

181920

27222g2425

2627282930

3637383940

4l42434445

31g2333435

46474rl4950

0,u13 3947 0,0917 19060,1055 3504 0,0865 2?400,1000 3322 0,0816 29620,0948 1822 0,07?0 09080,0898 7509 0,0726 600?

0,0861 8965 0,0686 S?810,0807 4849 0,0646 58310p?66 3886 0,0609 98400,07264867 0,06?5,1ó660,0687 6662 0,0542 8836

0,0?66 2ó1f 0,0024 r167 0,0616 62880,0710 0960 0.0683 2867 0,0479 66170p666 7669 0,0646 1268 0,0446 10390,0626 0619 0,0600 4643 0,0414 98040,0687 861ó 0,0476 r3{9 0,0886 0283

0.0661 9789 0,044¡¡ 9869 0,0369 09610,0618 2848 0,0¡¡16 87{? 0,0884 0,1280p486 6624 op888 6079 0p910 ?87ó0,0466 9606 0,0363 2410 0,0289 06820,0429 0616 0.0389 ¡1776 0,0268 Sgrg

IA] I I AH EMAI I M^ l t r A. ' I |NAN( i l i lA '

A l l l V.rkrr t 's dt Vl ' ¡ rar i t f r . r t 'e i ¡ r r r r 's r l t ' ¡ r t ' r iodo. Not,rrrorr ( .5t .ur( l , r t l t f r ' ,n i)

Nol. t t lo¡ l , r l l ' , r ' l r r , r r r . r ( l r

TABLA V Valores del factor VF de una anualidad ordinaria

I

,1,

Notación estándar: (F/P, i%, n)

Notación alsebraica: (1+i) ' -7

7o7o

1,0020 811?1,0013 86961,0010 40041,0006 93241,0003 4656

1,0062 30591,0041 49431,0031 10461,0020 72561,0010 357ó

r,0024 96881,0016 6390r,0012 47661,0008 31601,0004 1571

1,OO74 7208|,0049 7 5211,0037 29091,0024 84521,0012 4149

1,OO29 124:l1,0019 406r iI ,OO14 66161,0009 69871,0004 8482

i , r .

l ,o033 27HtlI , (X)22 l ' r i t0I ,OO|0 0Xf izl ,oot I o l r04l,000fi f¡ l l t l?

2th

1,0099 50401,0066 22? II ,0049 62931,0033 05801,0016 5158

23

6t2

23.4

l2

23

o

t2

t,oo12 49221,0008 32641,0006 244r1,0004 16231,0002 0809

I,0016 65281,0011 09881,0008 32291,0005 54791,0002 7735

v

't1,t¡ l

t ' /

I

0

t l

: l, l

0

l l

0

t ' l

!*in ic" ic" ]n In

1,0037 4299L,0024 93781,0018 69751,0012 46111,0006 2286

1,0049 87561,0433 22281,0024 90681,0016 59761,0008 2964

-

-/o

6904Vo

1,0087 12051,0057 99631,0043 46581,0028 9562r,0074 4677

Io

34a

2l22232426

z

o

t2

7,0124 2284 1,0148 89161,0082 6484 1,0099 01631,0061 9225 7,O074 t70' t1.0041 2392 1.0049 38621,0020 5984 7,0024 6627

1,0271 3193 1,0295 63011,0180 0?13 1,0196 12821,0734 7617 1,0146 73851,0089 6339 1,0097 58?91,0044 ?170 1,0048 67á5

r ,0173 49501,0115 33141,0086 37451,0057 50041,0028 ?090

1,0319 883? 1,0344 08047,021,2 134'.1 1,0228 09721,0158 6828 1,01?0 58631.0105 5107 1.0113 40261,0052 6169 1,0056 5415

1,0198 0390 7,0222 5242 1,0246 9508r,0131 5940 1,0147 8046 1,0163 9636r,0098 5341 1,0110 6499 r ,O122 72231,0065 5820 1,00?3 6312 1,0081 6486t,00327374 1,00367481 I ,O040' . t412

87o

7,0368 2207 1,0392 30481,0243 9981 1,0259 8t57r,o182 4460 I,Ot94 26551,0121 2638 1,0129 09461,0060 4492 1,0064 3403

6789

10

11t213L416

16T7181920

/ - \LA IV Valores de I¿P para fracciones de periodo. Notación estándar: lPlF'í%'!)

Notación algebraica: 1r * ¡-i2627282930

3192333435

363?383940

4142434445

4641484950

n

r.,0000 00002,0026 00003,0076 06254,01ó0 25025,02ó0 6268

6,0376 26217,0527 19308,0?03 51109,0905 2697

10,r132 6329

11,138á 3642r2,L663 827713,1967 987214,2297 9072r6,26ó3 6520

16,3035 286177 ,3442 874318,3876 481519,4336 172?20,4822 0737

21,5334 068222,6472 403323,6437 084324,7028 L77026,7645 7475

26,8289 861927,8960 ó86528,9657 988030,0382 13303r,1133 0883

32,1910 921033,2?1ó 698334,3547 447635,4406 356336,5292 3722

37,6205 603138,7146 117139,8113 982440,9109 267342,0132 0405

43,1182 370644,2260 326545,336á 977446,4499 39254?,5660 6408

48,6849 792449,8066 916950,9312 084252,0585 364453,1886 82?8

1,0000 00002,0083 33333,0100 11114,0200 44446,0334 4463

6,0602 22747,0703 90198,0939 58169,1209 3802

10,1613 4114

11,1851 ?896L2,2224 628413,2632 044214,3074 151015,3551 0648

16,4062 901717,4609 778118,5191 810?19,6809 116720,6461 8137

21,7150 019822,7873 859223,8633 452724,9428 87?626,0260 3071

27,1t27 447428,2031 600929,2977 706230,3948 278631,4961 4395

32,6011 311033,?098 01ó434,822t 6764358382 414337,0ó80 3557

38,1815 623639,3088 342340,4398 636841,5746 632242,7192 4643

43,8556 22924ó,0018 083346,1518 143647,30t6 537448,4633 3925

49,6248 837150,7902 999951,9596 009953,1327 996664,3099 0899

1,0000 00002,0041 66673,012ó 1?364,0260 69625,0418 4064

6,0628 48317p881 10188,1176 439?9,1ó14 6749

10,1895 9860

tt,2320 562612,2788 554913,3300 173914,3855 591315,4454 9896

16,ó098 5ó2017,5786 462718,6518 906319,7296 068420,8118 1353

2L,8986 294222,9897 733024,0855 640226,1859 205326,2908 6187

27,4004 07132A,5r45 754929,6333 A62230,7á68 586631i8850 1224

33,0178 664634,16ó4 409035,2977 662436,4448 292237,5966 8268

38,7533 3ó6239,9148 077541,0811 194542,2622 907843,4283 4199

44,6092 934246,7951 654746,98ó9 ?86648,r817 535?49,3825 1088

60,ó882 7r3451,?990 558153,0148 852154,2357 80ó655,4617 6298

1,0000 00002p060 00003,0150 26004p301 00135,0502 5063

6,0766 01887,1058 79398,1414 08799,1821 1683

70,2280 264L

11,2791 6654L2,3365 623713,3972 4018L4,4642 2639L5,6365 4762

16,6142 30261?,6973 014118,7857 879119,8797 168ó20,979L 1644

22,0840 110123,t944 31-0724,3704 052226A319 662426,6591 L602

27,6919 105928,8303 701529,9746 220031,1243 946132,2800 1658

33,4414 166634,6086 237535,7816 6686368605 752038,14ó3 ?80?

39,3361 049640,5327 86494L,7364 494242,944L 266644,1588 4730

45,3796 41ó346,6066 397447,8395 724449,0787 ?03050,3241 6416

5t,5767 849752,8336 639054,0978 922265,3683 213856,64ó1 6299

1,0000 00002poó8 33333,0176 34034,0361 36316,0686 7460

6,0881 83ó47,L236 97948,1662 52869,2128 8349

10,2666 2531

11,326ó 139612,?925 862913,4648 7ó37t4,6434 204415,6282 5710

16,7194 219317,8169 é18918,9208 841120,0312 559321,1481 0493

22,27t4 688723,40t3 867724,5378 938625,6810 315726,8308 3?59

27,9873 508129,1606 103530,3206 5ó5831,49?5 260732,6812 6164

33,8?19 02333ó,0694 884336,2?40 604537,4856 591334,7043 2548

39,9301 007141,1630 263042,4031 439543,6504 966244,9067 2962

46,1670 700747,4363 779448,71 30 901849,9972 498861,2889 0060

ó2,5880 8ó?653,8948 495955,2092 362156,ó312 90095?,8610 5695

1,0000 00002,0066 66673,0200 44444,0401 ?8076,0671 1269

6,1008 93357,1415 65978,1891 76419,2497 7092

10,3063 9606

11,3?40 987012,4499 260213,5329 265314,62A1 4503Lt,7206 8267

16,8254 36881?,9376 064619,0571 90ó120,1842 384421,3188 0003

22,4609 253623,6106 648724,?680 693025,9331 89?627,1060 7769

28,286? 848829,4763 634430,6718 6ó8731,8763 449733,0888 5394

34,3094 463035,5381 759436,7750 971138,0202 644339,2737 8286

40,5965 677441,80ó7 947943,0845 000944,3?17 300945,667ó 4163

46,9719 919148,2861 38ó249,6070 394450,9377 ó30462,2773 3806

53,6268 536ó54,9833 593456,3499 1ó0757,7256 81t759,1104 1837

1234o

6189

10

t1t213

IO

16r7181020

2122ta

2426

2627282930

313233343ó

3637383940

4l42434446

4647484960

p ic" *c" 3c" I co ]q" !q"2J

4(i

'!,

i l

(;

2

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0,9987 5234 0,9983 3749 0,9979 2315 0,9975 0934 0,9970 9603 0,9966 83240,9991 6805 0,9988 9135 0,9986 1496 0,9983 3887 0,9980 6308 0,997? 87600,9993 7597 0,9991 6840 0,9989 6104 0,998? 5389 0,9985 4696 0,9983 40240,9995 8394 0,9994 4552 0,9993 0724 0,9991 6909 0,9990 310? 0,9988 93190,9997 9195 0,9$97 2272 0,9996 5356 0,9995 8446 0,9995 1542 0,9994 4644

iE" rvo t :qa t lvo t . |vo 2vo

23462

0,9962 7096 0,9950 3719 0,9938 0?99 0,9925 8333 0,9913 6319 0,9901 4?54o,9975 7243 0,9966 8872 0,9958 6'¡72 0,9950 4942 0,9942338t 0,9934 20860,9981 33?4 0,9975 1551 0,9968 9919 0,9962 8477 0,9956 7223 0,9950 6158o,9987 5544 0,9983 4299 0,99?9 31?2 0,9575 2164 0,9971 1274 0,996? 05000,9993 ?753 0,9991 ?115 0,9989 6533 0,9987 6005 0.9985 5532 0.9983 5114

2

62

ziE" gqo ziqo 4qo 4+qo lqo

0,987? 2960 0,9853 2928 0,9829 4637 0,9805 8068 0,9782 3198 0,9?59 00070,9918 0291 0,9901 9545 0,9885 9835 0,9870 1152 0,9854 3482 0,9838 68150,9938 4586 0,9926 3754 0,9914 3652 09902 4274 0,9890 5610 0,9878 76550,9958 9302 0,9950 8565 0,99424283 0,9934 8453 0,9926 9070 0,9919 01280,9979 4440 C,9975 3980 09971 3732 0,9967 3694 0,9963 3865 0,9959 4241

!2

6t2

ó:% 6vo 6:qo lvo l47o 89o p

234

0,9735 8477 0,9712 8586 0,9690 0317 0,966? 3649 0,9644 8t64 0,962250450,9823 1139 0,9807 6444 0,9 ' ,1922719 0,9776 9953 0,9761 8136 0,974672680,986? 0399 0,9855 3836 0,9843 7958 0,9832 2759 0,9820 8230 0,9809 43650,991 1 1623 0,9903 3552 0,9895 5909 0,9887 8690 0,9880 1891 0,98?2 5507o,99\í 4821 0,9951 5603 0,9947 6585 0,9943 7764 0,9939 9140 0,9936 0?10

3

672

MAtr MAi l ( iAr¡ I tNAN(; t t t lA!¡

' IABLA V V¡lorcs dr. l f¡cklr Vl ' t tc u¡r¡ rrru¡l ld¡t l ordi l tar l ,rNot¿¡t i t i rr rsl .-rrrt l .rr : ( l ' /A, t"1,, t t \

Notación algebraica: !ll'/i' II

$w {¡q.

V¡lurcs dcl factor Vl 'dc una anualidad ordinari¡

Notación estándar: (F/A' i%' n)

Notación algebrarca: 0+i)" - 7I

lAnl A v

1,0000 00002,0100 00003,0301 00004,0604 0100óJ010 0601

6,1520 15067,2135 362t8,28d6 ?056936A5 2727

LO,4622 L254

11,5668 346712,682ó 030113,8093 2804L49474 2L3216,0968 9554

fAÉIA: E

2Vo

64,92t6 644956,4674 686256,596L 022757,7376 926258,8819 8660

60,0291 413561,1782 L42062,332L 622363,4879 926464,6467 L262

65,8083 294068,9728 602868,1402 823569,3106 330670,4839 0964

?1,6601 194272,8892 697L7 4,02t3 678975,2064 2L3L76,3944 3736

77,5854 234574,7793 870179,9763 36488t,1762 763282,3792 t70r

83,ó861 6605a4,794t 279786,0061 132987 ,2211 2867881391 8139

89,6602 793490,8844 300492,L1L6 4L1293,34L9 202294,6762 7602

968117 132197,O6L2 424998,2938 706099,ó396 0627

100,7884 5429

LO2,O4O4 2642103,2966 2649104,6587 653010ó8161 49721t)7,0?96 8769

108,8473 8681109,6182 6628110,8923 0091112,169ó 816711t,,t499 6660

66,4909 420256,6769 1183ó7,8648 316419p677 143160,2645 7336

61,4564 219462,6602 733463,8691 409266,0820 880666,2989 7818

67,5t95 747868,7450 413669,9741 915071,2074 388072,4447 9693

73,6862 796974,9319 006276,78L6 736277,4356 t24378,6937 3114

79,9560 43688L,2226 637282,4933 066083,7682 832985,047ó 1090

86,3310 026087,6L87 726L88,9108 361990,2072 046491,6078 9532

923L29 2L6494,1222 98049ó,4360 390496,7641 69L798,0766 ?303

99,,1035 9627100,7349 4069t02,0707 2373103,4109 5947704,7666 6267

106,1048 4821107,4685 3104108,816? 2614110,1794 4866111,6467 1399

1L29L86 8677114,2949 30891168?69 1399117,0616 0087118'4617 0637

65,6928 636667,9290 ?38869,t704 460260¡169 886461,668? 2600

62,9266 790264,1878 693ó651563 188166,?280 493068,0060 8284

69,2494 4L6270,5781 476371,8722 23L473,1716 90?474,4766 7274

76,7868 918377,LO26 7066781239 316879,7606 980681,0829 9264

824208 584483,?642 586085,LLA2 763486,4679 149987p281 9797

89,194r 488090,ó667 910891843r 486ó938262 460094,7161 0486

96,109? ó06297,6102 0792988165 0046

100,3286 6263101,7466 8869

103,1706 3312104,6005 1076106,0363 4622107,478r 643810882ó9 9oO2

110,3798 4881111,889? 6,48t1113,8067 6336LL4,7778 707L116,2661 118,t

LL?,7406 L28Otlg,28LO 9777120,7278 91OlL22,2809 2894L29,7102 2219

67,9283 888069,2180 30?660,61,411 209061,8166 91606A,L267 7496

64,44L4 038466,7636 108667,0924 28976A,4278 910669,?700 3051

71,1188 806672,47 44 760773,A368 474476,2060 816876,6820 6184

77,9649 72L679,9647 970180,7616 709982,1663 288583,6661 0649

84,9839 360286,4088 65?08?,8408 999889,2801 044890,7266 0600

92,t8OL 376293,6410 382196,1092 434096,6847 896298,0677 1867

99,6680 6214101,0668 4240102,6611 2161L04,O739 2722r05,6942 9686

L07,t222 6E81108,6678 ?968110,2011 6908LrL,?62t 7492113'8109 3680

Lr4,8771 9018116'4ó18 7793118,0841 8?82119,0248 08ooL2t,2224 2964

122.82E6 tt89124,112l' 8110L26,OOtt8 9782L21.8962 228L129i8886 9E¿2

69,1986 ?87760,6489 088161,89?0 ?06963,2681 428764527r 4a7O

66,0041 404067,8891 645668,7822 680l70,1834 979171,6929 0166

73.0106 26917 4,4364 2L6676,8706 341177,3t32 t28L78;t642 0666

80,2286 644281,6916 368083,1681 ?03484,6633 180086,t471 2902

87,6496 639489.1609 436990,6810 490992,2100 218893,7479 1467

96,2947 786096,8606 627098,4166 249099,9897 1604

141,6?29 8930

103,1664 9849LO4,7872 9723106,3?84 3980107.9989 8070109,6289 7476

L1t,2684 77LOLL2,SL76 4822L74,6762 2889LL8,2146 9022Lt7 9226 8367

119,6106 6699121,8082 9429123,0169 2601124.7886 1891126,4611 3110

128¡988 2108L29,918O 1719191,?0¿8 6960t88,172e 1881136¡516 8908

1,0000 00002,0076 00003p226 56264,0462 25426,0?5ó 6461

6,1136 3135?,1594 8358a,2L3L 79719,2747 7466

10,3443 3940

IL,4219 219412,50?5 863613,6013 932514,7034 037016,8136 7923

16,9322 818318,0592 ?39419,194? 184920,3386 78882L,4912 1897

22,6524 031223,8222 96L425,0009 633626,L884 706927,3848 A4rZ

1,0000 00002p12ó 00003,03?6 66254,0?ó6 26956,L266 7229

6,1906 5444?,2680 37628,3688 88099,4633 7420

10,6816 6637

11,?139 372012,8603 614214,0211 159415,1963 ?98816,3863 3463

1p000 oooo2,0160 00003p4ó2 26004,0909 03385,1622 6693

6,2296 ó0937,3229 94L98,4328 39119,5ó93 3169

]-0,7027 2167

11,8632 624913,0412 114314,2368 296015,4603 820616,6821 3?78

.2q

1,0000 00002,01?6 00003,0528 06254,1062 30865,1?80 8939

6,2687 0596?,3784 08318,ó075 30459,6564L224

10,8263 9946

12p148 4394rs,226t o37r14,4665 430315,?095 32á3168844 4936

ra,28r6 772r19,6016 065620,9446 346822,3111 66?823,?016 1119

1,0000 00002,0200 00003,0604 00004,1216 0800á,2040 4016

6,3081 2096?,4342 83888,6829 69059,7646 2843

10,949? 2100

t2,1687 164213,4120 89?314,6803 3162158?39 3816t7,2954t692

18,6392 852620,0120 70962t,4123 123822,8405 586324,2973 6980

iwtuiq" l *

60,úoaa $76t61,907E ó10ó68,820ó 700964,7 427 072288,t148 2621

6?,8164 87¡l,t69,0662 678070,ó266 090?71.9968 770673,4788 6626

74,9607 019ó76,4664 79977't.9762 666079.4960 98218L,0260 7220

82,6662 460184,1166 87668ó,67?4 66ó787,2186 486788,8803 0688

s0,4226 043792p263 261093,63E8 272696,2630 861196,8981 7386

98,6441 6118LOO,z0tt 2226101,8691 29?8103,6482 6?26105,2886 ?898

1068401 6960108,6631 0397110,8774 6799112,1188 0771Lt3,8607 2917

116,6198 0180117,9906 9997r19,1?82 099?120,96?6 9200L22,7?1t 1928

L21,6926 4767126,4282 6616128,2660 ?6E6130,1211 8t103181.9E86 ó869

138,E886 E298186,?610 aO2O187.6681.1880189,6888 E?901,11.61¿4,!?16

L%ln, t i% ,Lq

ó162ó354oo

5667685960

6162636465

6667686970

7L727374to

76

7a7980

8182838486

8687888990

9192939496

96970899

t00

17 -2678 6449 1?,6911 6382 179323 6984

i ; f iü;ái; ie,euo saso 1e'2013 653ei;'il;; ;;;; ió,0¿or srss 20'48es 757,2;X';i i l ;;ó; ir.zsoz eege 21,?e6? 1636;;';iñ óffi iá"iszs ftt+ 23'1236 6710

13.2391 9403 23,8450 1ó?7 24',47o1 22Lr

;"r'i;í;;;éá iá'.t+so n+t 26P376 7s-e4.

;;';;;; ;íáá is,¿ezs ooss 27 '2251 4364

íi';;;", ";á;

zi,zeao e¿os 28'633á 2o8o

fi:;ñi ;é;ó is,rgs¿ ssos 30'0630 236r

2A 6so2 7076 29'5256 3150 30'4996 2802 31',ó139 6896

eo'Rn¿6 e??8 80.8208 87Ei ái 'óeos zeez 32'9866 7850

íY'X#; iló; áz,izéó óoos áá'izga s¿zs 34'4814 7867

t,¡'zaos ¿üs ss,¿oog a'ué áiisaa roos 35'ee8? 0085

ái.¡ozg ore¿ 34,?848 eló; áái i iso oeao 3?'5386 813?

3¿ ?541 ?361 36,132? 4045 si ' ,oeoo azro 39',1017 6159

re or¿s zggr er,nsno otái ágbro¿ ¿osg 40'6882 8801

oz'qn¿c ¿t13 sa,soso otáá ióláger zrzo 4-2'2s86 L23s

i" ' in¿r zsrg 40'2676s8á; iz 'ó¿se ora¿ 438330 e152

l3:3lll íilá ;;"6áó;;;60 ia'áios esoa 4ó'5e20 878e

41 152? 1612 43,0?68 ?834 45'11óó 0560 41 ',2755

692r

Ár ¿613 6149 44,6076 47r"4 iá"alg+ lgsz 48',9851 08?4

;ii\;á;;;ó ;;,ós1i 31Xi t1,::,zzz^,2;l 33:i133 3333i i ' rosrzoez 47,4122608¿0.¿¿o¿ sre¿ n,,"ue tt tá i i '¿eso szos ó4'26?8 9391

n 7s4A 3026 50,3?52 3?0e 63'1331 ?6ó4 ó6',0819 1232

Áq r 532 e148 ur,a,e' '"íá

lÁ"iátá atza 5?9231 4100

<^'Rora ¿11? ur.r," t ' iá iá'¿ózs oeor ó9'?e19 8812

??'3: lXl l ; ; ; ; : ;á i ; ; ; i l áá' iaesseez 61'68886?e4

?l'ffi i l;i; ;¿',;;; ';;;; áó'érso groa 63'6142 ooe6

8l

0ta',EN

25,1163 893826,6669 262028p206 549029,6110 16373t,o274 69L6

32,6?04 396934,1404 229836,7378 7977s7 ,3632 926139,01?1 5029

40,6999 504242,4L21 995644,1544 130ó46,921r L6274?,?308 39?9

49,5661 294951,4335 3675ó3,3336 236555,2669 62065?,2341 3390

69,2561 3L246r,2723 665469,3446 227865,4531 ó36?67,5986 8386

69,?816 ó90812,0027 563774,2621 8425?6,5623 829878,9022 2468

2ó,?833 171921 ,2989 896428,8449 6321go,42l8 624792,0302 9972

33,6?09 057235,3443 23833?p612 103138,?922 34ó140,6680 7921

42,?794 407944,2270 296146,1115 702048p338 016048,9944 ?763

51,9943 6719t4,0342 641356,1 149 39626A,297"2 384L60,4019 8318

62,6100 228464,8622 2gso67,1594 677769,5026 5?127]-,8927 1027

0(l

et0:l0tl9.eb

96o7ea0e

100

ó4,689? 8799

ó6,0999 614067,5207 llll

á8,9621 1644

60,3s42 5732

14,3505 644176,817t 7576?9,3535 192?81,940ó 896684,5?94 0146

1234o

6

89

10

2r222g2426

2627282930

31g2333435

36a7383940

(c ñ¿ña 854? 61,6646 3?21 6á'ó684 1398

l ; ' ; ;ü;ñ; éá'¿ár¿ ¿srs 6?'6ó1e 401871'";|,;,-o;1; áe',zzss ssz+ 6e'ó6ó2 1e2e:;'Ííf i ;ff i éilo¿áz ¿aro ?1'6086 e758

:í:;ü; ffi ée,óarz ages ?3'6828 2804

4 MATEMATICAS FINAN(;I I I IATi

1"/"

TABLA V Valores del factor VF de una anual id¡d ordln¡r l ¡

Notación estándar: (F/A, i%,, tt)

Notaciór ( l+ i t " - |

1 arSeDralca:

t+%

lA l l l A V V¡ l r ¡ r t 's dr ' l l ¡etor Vl ' t l t ' un¡ ¡nu¡ l ic lad ordi l rar i¿¡

Nrr l , t t t t i l t ( ' ¡ l , l t l ( l . t r : ( l /A, i ' )4 ' , t t l

Not¿ciírn algebraica: (l +i)" - |

6L,8472142463,3110 683564,?859 013666,2777 956267,7688 3409

69,2771 003670,7966 786072,9276 536973,8701 110976,4241 3693

76,9898 179678,5672 4L6980,1664 969081,7676 696283,3?08 6214

84,9961 386386,6336 046388,2833 5657898454 817491,6200 7285

93,80?2 234095,0070 276896,?196 E02898,4449 77L4

100,1833 1446

101,9346 8932103,6991 9949105J769 434910?,2680 2066tog,0726 3072

110,8905 74701L2,7222 640L114,ó6?6 ?091116,4269 2845118,3001 3041

120,1873 8139122,0887 86?ó124,OO44 6266125,9344 8604127,8789 9469

r29,8380 871513r,8118 7280133,8004 6t86135,8039 6531r37,8224 9505

139,8561 6377l 41,9050 8499l 43,9693 7313146,0491 4343l4fr , l445 1201

66,1078 140167,7688 921669,4466 810771,1410 468872,8624 6796

74,6809 819276,3267 9L7478,0900 696679,8709 602681,6696 6986

83,4863 666685,5212 SO2287,t744 426289,0461 869590,9366 4882

92,8460 163194,7744 764696,7222202t94,6894 4242

100,6763 3684

102,6831 0021104,7099 3121106,?6?0 3062108,8246 0083110,9128 4684

113,0219 7530115,1521 9606117,3037 1?01LL9,4767 6418LzL,67L6 2L72

123,8882 3694126,12?1 1931128,3883 9050L30,6722 7 440132,9789 9715

136308? 8?12137,6618 ?499140,0384 9374142,4388 7868144,8632 6?46

147,3119 0014149,7860 19141ó2,2828 6933154,8056 9803r57,353? 5501

t59,9272 9256162,6265 6548166,r618 311416?,8033 494 5170,48r3 8294

70,7428 L22672,6270 974L?4,6349 961876,4666 228378,4224 6662

80,4027 363182,4077 706284,43?8 676586,4933 ¿09988,6746 0776

90,6816 891092,8L62 LO2294,9754 003497,1626 928699,377t 2526

101,6193 3933103,8896 810?106,1882 0083108,5165 5334110,8719 9776

113,25?8 9773115,6736 2145118,1195 4172120,6960 3599L23,L034 A644

125,6422 8002t28,2L24 OA52130,8154 6863133,4606 6199136,1187 9526

138,8202 8020141,555ó 3370t44,3249 7787147,1290 4010149,9681 53r0

162,8427 560L15ó,7532 8945158,7002 05ó7161,6839 ó814r64,7050 0762

roz,zoag zoer170,8608 67961?3,9966 2881177,17ró 866?180,3862 31 ó1

183,6410 5940186,9366 7264190,2732 7980193,6ór6 9580197,0723 4200

?6,7880 704677.9248 916280,098? 648982¡961 713684,5295 9893

88,7976 429289,0996 060691,4359 986693,8076 386396.2146 61?1

98,6578 ?149101,r377 3966103,6648 0666706,2096 2774LO8,aO27 72\6

111,4348 1374114,1063 3694116,8179 3098119,6701 9995L22,3637 6296

L26,L992 0924L28,077L 9738130,9983 5634r33,9633 3067136,9?27 8063

t40,o273 7294L43,t277 8252L46,27 46 9'967149,4688 2016162,7108 6247

166,0016 1525159,3415 3?98162,7316 610ó166,1726 3697169,6652 25ó1

173,2102 0389176,8083 5695180,4604 8230184,1673 8954187.9299 0038

r9r,7488 48E9195.62ó0 8162199,5594 5784203,5528 497120?.6061 4246

211.7202 346921r,8960 38rr220.1344 7868224,4364 9586228.8030 4330

81,2890 136183,7064 663686,1703 120188,6782 924791.2301 6259

93,8266 904396,4686 675299,1568 5902

101,8921 0406104,6762 1588

107,5070 8215110,3884 0622113,3202 0231116,3033 0685119,3386 1370

122,4270 5944125,5696 1263128,?669 7910132,0204 0124135.3307 5826

138,6990 4653742,L262 7984146,6134 8974149,1617 2581152,7?20 5601

156,4466 6699160,1833 64411638865 7329167,8563 3832r7r,7938 2424

175.8002 1617179,8767 1995184,O245 62ó5188,2449 9239192,6592 7976

196,9087 1716201,3546 1971205.8783 2555210,4811 9626215,1646 1718

219,9299 9798224,?747 7296229,7t24 0t4A234,7323 6860239.840r 8495

245,0373 8819260.3255 42482t6.7062 394726r.1810 9866266.7517 5?89

8?,2?09 89{890,0164 002792.8167 87,1896,6?S0 722r98,6866 336ó

101,6682 6482104,5894 298r107,6812 1820110,8348 426?114,0616 3942

117,3326 702rL20,6792 276r124,0928 060,1L27,6746 6216131,1261 ó541

134,7486 7862138,4436 5209t42,2t26 26L3146,066? ?ó63149,9?79 1114

163.9774 693?158.0570 1876162,2181 6913168,4626 223tL70,7917 7276

176,2076 082L179,?117 6038184,3059 9568188,9921 1549193,?719 5780

198,64?3 9696203,6203 4490208,6927 51802r3,8666 0683219.1439 3897

224.5268 r776230,0173 6411235,6177 0119241,3300 5521247,1666 ó632

253,099? 8944269,1617 8523265,3450 2094271,6519 21362?8,0849 5978

284.6466 589b291.3395 9216298.1663 8400305,129? 1168312.2323 0691

1,0000 00002,02ó0 00003,0?ó0 2ó004,r62ó ló0$ó,2603 28ó2

6,387? 36737 ,647 4 30168,7361 15909,9646 1880

11,2033 8177

12,4834 663113,7966 629?1ó,1404 417916,5189 628417,93r9 2666

193802 248320,8647 3046223863 487L23,9460 071326,6446 676L

27,L832740628,8628 659030,6844 273032,3490 379E34,157? 6393

36,0117 080337,9120 007339,8598 00764r,8662 967743,9027 0316

46,0002 7 07 448,1602 776r60,3540 344552,6128 853164,9282 0744

67,3014 126359,7339 479462,2272 966464,7829 790667,4026 6364

70,0876 r?3?72,8398 07817ó,6608 030078,5623 230881,6161 3116

84,ó640 34438?,66?8 863090,8696 824394,1310 71999?,4843 4879

1,0000 00002,O300 00003p909 00004,1836 27006,3091 3681

6,4684 09887,6624 62t88,8923 3606

10,1591 0613111638 7931

12,8077 956914,1920 29ó616,6177 90451?,0863 241618,5989 1389

20,1ó68 81302t,76L6 877423,4144 353725,1168 684426,8703 7449

28,6764 867230,5367 803032,4628 8370s4,4264 702236,4692 6432

s8,6630 422640,7096 335242,9309 225246,2t88 602047,5754 r57L

50,0026 781852,5027 645265,077A 4t2857,730L 766260,4620 8181

63,2769 442766,7742 226969,L694 492772,2342 927675,4012 6973

?8,6632 9?6382,0231 96¿586,4838 923489,0,184 091192,7198 6139

96,5014 6723100,3966 0096104,,1083 9596108,5406,0786LL2,7968 6729

1,0000 00002,0360 00003,1062 26004,2t49 424863624 6588

6,6601 62187,7794 07619,0616 86?7

10,3684 968111,7313 9316

13,1419 919214,6019 616416,1130 303017,6?69 863619,29ó6 8088

20,9710 29?122,7060167624,4996 913026,36?1 806028"2796 8181

30,2694 706832,3289 021534,4604 137336,6666 282138,9498 ó669

41,3131 016843,7690 602446,2906 273448,9107 9930t7,6226 7728

64,4294 709857,3346 024760,3412 1006631631 ó24066,6740 L274

70,0076 031873,4578 693077,0288 917280,7249 060484,6102 7776

88,609ó 3?4192,6078 7L2A96,8486 2928

101,2A83 3130r06,7816 7290

110,48¿0 31461163609 7266120,3882 6669125,6018 456713089?9 1016

1,0000 00002p400 oo003,1216 00004,2464 64006AL6S 2266

6,6329 ?6467,8982 94489,2L42 2626

10,682? 953112,0061 0?12

131863 614116,0268 0ó4616,6268 376818,2919 111920,0236 8764

2L,8246 317423,69?6 1239265464 128827 ,6772 294029,7740 7468

318692 017234,2479 697936,6178 885839,0826 041241,64ó9 0829

44,gLL7 446247 ,0842144049,96?6 829862,9662 8630ó6,0849 3??5

59,3283 352662,7014 686766,2095 274269,8679 086173,6622 2486

?7,6983 13858t,7022 46408ó,9703 362690,4091 49?l96p256 1570

99,8266 3633104,8195 9778110,0123 8169115¡128 7696121,0293 9204

L26p7O6 6772132p463 9043139,2632 06041468337 3429ró2,6670 8366

4+%

1,0000 00002,0460 00003,1370 26004,2?81 91136170? 09?3

6,7168 91668,0191 61790,3800 1362

10,8021 142S12,2882 0937

r3,841 1 78?01ó,¡¡640 Sl8417,1ó99 1327l8,0s2l oo8?20,?8,10 11429

22,7 193 80?$24,?¿¡ l? 068020,8óó0 887029,063ó 02,[031,371 4 ?2?7

33,?88 r S08036,3033 ?701138,98?0 200641,080r ooJt4¡1,ó0ó2 l0 l ó

4?,ó?00 440060,7 t l3 2: l0 r68,C03S $B | 7ó?,¡1230: l : l l66l ,oo70 0c00

64,7ó2S 8??C68,6002 4l tz{72,'t662 282u7?,0$02 Ó(t46r11,4000 l l l00

86,t639 068101.0418 442796,1882 0¡176

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14,5834 982616,3866 906518,2867 981420,2926 720322,4086 6350

24,6411 399926,9964 026929,4812 048332,1026 711034,8683 1801

37,7860 7ó5040,8643 096544,1118 466947,6579 9825ór,1526 8816

54,9659 805r58,9891 094363,2335 10466?,7rr3 535372,4354 7797

77,4194 292682,6774 978788,2247 602594,O77r 2207

100,25r3 6378

106,7651 8879LL3,6372 74t7t20,8873 2425128,5361 2?08136,6056 140?

145,1189 228ó154,1004 6360163,5759 8910173,5726 6850184,1191 6527

195,2457 1936206,9842 ?392219,3683 6679232,4336 2696246.2774'1646

7 lc.

1,0000 00002,0750 00003,2306 25004,4729 2t88ó,8083 9102

7,2440 20348,1873 2t87

10,4463 710112,2298 4883L4,L470 8750

16,2081 1906L8,4237 279920,8055 075923,3659 206626,1183 6470

29,0772 420632,2580 352136,6773 878539,3631 919443,3046 8134

47,5526 324462,tL89 7237ó7,0278 9ó3062,A049 87446?,97?8 6150

74,0762 0LL280,6319 162087,6793 099r96,2562 5816

103,8994 0262

L72,L545 677L121,56ó9 3464131,6833 7963142,ó596 3310154,2616 0558

166,8204 7600180,3320 1170194,8669 12582to,47tl ArO2227,2566 7960

246,3007 58t7264,6983 r546285,ó506 8912307,9669 9080332,0646 r611

367,9693 5376386,8170 55284L6,7633 3442447,9348 346l482,5299 4709

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0,9942 00601,9826 35132,9655 37323,9423 40344,9r36 7000

6,8793 80836,8394 83847,7940 t8748,7430 17809,6865 1314

10,624ó 3667tt,567t 201412,4842 950913,4060 928874,3226 4470

15,2336 81 5616,1 39ó 342717,0401 335017,9355 096918,8256 931ó

19,7107 139820,5906 021327,4659 873822,3350 993023,1997 6732

24,0594 207024p140 885226,7637 996826,6085 829627,4444 6689

28,2834 799929,1r36 503029,9390 061030,7595 762431,5753 8649

32,3864 644633,r928 39á533,9945 380834,791ó 871635,6840 1374

36,3718 446537,1 551 06533?,9338 268838,7080 290439,4777 422r

40,2429 9t4?41,0038 025841,7602 014142,6L22 L34943,2598 6428

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6,97ó3 18548,3938 3?659,8974 6?91

11,4913 1t9813,1807 9494

t4,9716 426416,8699 412018,8821 376721,0r50 669323,2759 6988

25,6726 280828,2t28 797630,9056 625533,7599 917036,7855 9120

39,9927 266843,9922 902846,9958 2?69t0,8155 773554,8646 L200

59,1563 827263,7057 666868,5281 1162?3,6397 983279,0581 8622

84,8016 ?73990,8897 780397,3-131 6471

104,1E37 5460tLr,4347 7987

119,1208 6666127,268r r866135,9042 0578r45,0584 5813154,?619 6562

165,0476 8356t76,9505 4457787,6075 7724199,7580 31882L2,7436 L?79

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7,0657 27648,5228 6994

10,0?68 564811,7318 ó21óL5,4944 2264

15,3715 6001t7,?7O7 It4L19,4998 07652r,7672 961624,1821 6933

26,7540 LO3429,4930 210132,4100 6?3836,5167 217638,8253 0867

42,3489 53?346,1016 357350,0982 420654,3546 277868,8876 7E69

63,7L53 776968,8568 ?72574,9525 742780,1641 915986,3748 6405

92,9892 3021100,0335 3017107,6357 0963115,5256 3076124,0346 9026

133,0969 4513142,7442 4666153,0268 8269163,9736 2996175,6319 1590

188,0479 9044201,2711 0981216,3537 3196230,3517 2465246,3245 8662

263,3356 847ó28r,4626 0426300,?469 1704321,29ó4 6666343.1796 7198

1,0000 00002,0700 00003,2149 00004,4399 43005,7507 3901

7 ,L632 907 48,6540 2109

LO,2598 02t711,9779 887513,8164 4796

1ó,7835 9932L7,8884 512720,1406 428622,6504 878626,t290 220r

27,8880 536530,8402 173033,9990 325137,3789 647940,9964 9232

44,8661 ?67849,0067 391663,4361 409068,1?66 707663,2490 3772

68,6764 703674,4838 232880,6976 909187,5466 292794,4607 8632

102,0730 413?110,2181 6426118,9334 2606t28,2587 64aL138,2368 7835

148,9134 ó984160,3374 0202t72,68t0 20L7185,6402 9158199,6351 1199

214,6095 6983230,6?22 3972247 ,7764 9660266,1208 5126286,7493 1084

306,7ó17 6260329,2243 8698363,2700 9300378,9989 9961406,6289 2947

1,0000 00002,0800 00003,2464 00004,ó06r 12005,8666 0096

7,3369 290,18,9228 0336

10,6366 2763L2,4875 6' , t84L4,4865 6247

16,6454 8?4618,9771 264621,4952 965824,2t49 203027,!521 1393

30,3242 830433,7502 2569g7,4502 43744r,4462 632445,7619 6430

60,4229 214456,466? ó51660,8932 956?66,7647 5922?3,1059 3995

?9,9544 1ó1587,3607 683696,3388 2983

103,9669 3622113,2832 1111

123,3468 6800LS4,2LS6 5744145,9506 2044158,6266 ?007172,3168 0368

L87,LO2t 4797203,0703 1981220,3159 4640298,94L2 2LO3259,0566 1871

280,78rO 402Lso4,2495 2342329,5830 0630356,9496 4672386,5066 1738

418,4260 66774628001 62rr490,1321 6428530,3427 3742573,770t 6642

0,99?ll (.)r!,,rá1,992ó t{pr¡2,98ó0 6tlr t3,9761 2{164,9627 1766

6,9478 ¡llto{6,930ó 2l?{7,9107 Al¡t't8,888ó 2J ñ79,8638 0$0 r

10,8367 ? | $H11,80?2 63$412,7753 lt'hh13,7409 63 l 414,7042 02$4

15,6650 400¡16,6234 8131117,ó795 326018,5331 996019,4844 882r1

20,4334 047721,3799 ó4lil|223241 44l t l23,2659 70h724,2054 6r\01

25,1426 0sJo26,0774 l6 l rb27,0098 9l | 227,94OO At0228,8678 7l i t ¡

29,?933 tt? 8730,7166 00:il131,6375 O2Oil32,5561 l 2 l r¿33,4724 3lt(i

34,3864 6Á | r )35,2982 l l l t 'b36,20?7 (X): to3?,1149 r30238,0198 6:13{ i

38,9225 569?39,8229 994740,?21I 964n41,6171 535942,6108 ?640

43,4023 704744,29t6 4tX745,1786 946346,0635 36n046,9461 ?03?

o , [ t \ i l i 777 4t . ! r1)00 4426:! , ! r ¡ r0 l l0ó6,r , r ) t i t ;8 8760' t ,1r l ,O3 8631

t¡ .1r : t06 l?59r i .1)075 9228| ,u873 2l2lr . r , l r518 1516lu, l t190 8487

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29,4056 105630,304ó 9ó233 r ,2005 9325:r2,0936 1454:|2,9836 6898

33,8707 6642:r4,7549 1670:|5,6361 2960:r6,5144 148837,3897 8228

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42,5812 515343,4364 633244,2888 3387,15,1383 726345.9850 8900

0,9968 50621,9875 69082,9761 72633,9586 78044,9381 0261

5,9134 63186,8847 76617,8620 69708,8153 29169,7746 0165

10,7298 937611,6812 220072,6286 024313,5720 526114,5115 8766

r lA472 242216,3789 784817,3068 6654r8,2309 044319,1511 0815

20,0674 935920,9800 76612r,8848 729722,7934 943923,6951 6853

24,6926 98962ó,4865 051726,3766 026627,2630 068028,t457 3291

29,0247 962629,9002 120530,7719 954031,6401 613932,5047 2504

33,3657 012834,2231 0á013á,0769 510535,9272 641636,7740 2904

3?,6172 903338,4570 526139,2933 304040,1261 381640,9554 9028

41,7814 0l 1142,6038 849243,4229 659444,2386 283245,0509 1617

0,9950 24881,9860 99382,9702 48L43,9504 95664,9258 6633

6,8963 84416,8620 74047,8229 59248,7790 63929,7304 1186

10,6770 267311,6189 320712,5561 5131L3,4847 077714,4L66 2466

15,3399 250216,2586 318617,t727 680218,0823 592418,9874 1915

19,8879 792520,7840 589621,6?56 805522,5628 662223,4456 3803

24,3240 t7942ó,r980 2?8026,0676 893626,9330 342327,1940 5397

28,6607 999729,5032 83ó530,3515 259231,1965 481832,0353 7132

32,8710 162433,7026 037234,5298 544535,3530 890036,1722 2786

36,9872 914137,7982 999138,6052 735439,4082 323840,207t 9640

41,0021 854741,7932 193742,5803 I77843,3635 002844,L427 863t

0,9933 77481,9801 ?6312,9604 40043,9342 11964.9016 3ó06

ó,8624 520ó6,8170 06357,7662 37108,7071 89179,6429 0315

10,5724 203511,495? 8180r2,4r30 282413,3242 002814,2293 3802

15,r284 814816,0216 703516,9089 440ór7,7905 417718,6659 0242

19,5356 646620,3996 66882r,2679 472522,1tO6 436r22,9574 9365

23,7988 347524,6346 040625,4648 384726,2895 746427,1088 4898

27 ,9226 976628,?311 á66229,6342 6t6430,3320 478931,r245 5088

31,9118 055132,6938 465333,4?0? 084834,2424 266435,0090 3209

35,7705 616836,5270 480337,2785 245338,0250 243738,7665 8050

39,6032 266640,2349 923840,9619 129641,6840 194942,4013 438?

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47,8266 038648,7048-41?649,t808 895354,4547 t26651,3264 3656

t2,1959 466953,0632 884763,9284 673054,?914 885855,6623 5769

56,5110 79995?,3676 608358,2221 056759,0744 195259,9246 0800

60,7726 ?63161,6186 297462,4624 736563,3042 130264,1438 5339

64,9813 998965,8168 577466,6502 321667,4815 283468,3107 5146

69,13?9 067069,9629 992070,?860 341171,6070 166772,4259 5t69

73,2428 446874,0577 00337 4,8706 240275,6873 207276,4900 9á48

?7,2968 533578,1015 993578,9043 38ó079,7050 758180,5038 r627

8l ,3005 648682,0953 265482,8881 062883,6789 090084,467? 3966

85,2546 031686,0395 043986,8224 482787,6034 396?88,3824 8346

46,8289 9236{7,6?00 920548,5083 973949,3439 176750,1766 6213

51,0066 399951,8338 604652,6583 326853,4800 668054,2990 6890

56,11F3 5106558289 213356,7397 887057,5479 621658,3534 506ó

59,r662 631r59,9564 084260,?538 954361,6487 329962,3409 2989

63,1304 949063,9174 367864,7017 642465,4834 859566,2626 1058

67,0391 467667,8131 030868,5844 881269,3533 104270,1195 7849

70,8833 00827L,6444 A58772,405\ 420673,t6927780?3,9129 0146

7 4,6640 213975,4126 459176,1587 833076p024 418277,6436 2972

7A3823 552r79,1r86 264579,8524 516180,5838 388281,3127 9616

82,0393 317282,7634 635583,4851 696ó84,2044 880284,9214 1663

45,8598 335346,6653 943947,4676 L26748,2665 022449,0620 7692

49,8á43 604650,6433 3656ó1,4290 488ó52,2115 009352,9907 0632

53,?666 785054,5394 308756,3089 768056,0753 29ó956,8385 0250

5?,598ó 087168,3553 613?59,1090 7367ó9,8596 583260,60?r 2862

61,3514 9?3862,0927 7748628309 817269,566L 22a764,2982 1365

66,O272 66706t,7 532 946466,4763 100267,1963 2ó336?,9133 6303

68,62?4 05ó069,3384 951170,0466 341370,7518 3482?1,4541 0936

72,rt34 699172,8499 2864?3,5434 973074,234L 88ra74,9220 LSrg

76,6069 840376,289r 127276,9684 11017?,6448 906378,3185 6329

78,9894 406279,6676 942280,3228 556680,98ó4 1642at,6452 2797

44,9181 963?45,6897 466446,4574 593447,2213 62184?,9814 4536

48,7377 565749,4903 050550,2391 095050,984r 88555r,7256 6075

62,4632 44695?,L972 582463,9276.20L454,6543 483956,5774 6109

66,0969 762156,8129 116567,5262 852258,2341 146558,9394 1?56

59,6412 116160,3395 13946r,0343 422261,7257 136662,4L36 4643

63,0981 ó46663,7792 583664,4569 73ó065,1313 169166,8023 0538

66,4699 ó56167,1342 841967,?953 076668,4630 424469,107ó 0491

69,?ó8? 113á70,4066 779671,0514 208671,6929 6608?2,3312 9958

72,9664 67267 3,6944 7 4877 4,2273 38187 4,8530 72827 6,47 66 9454

76,0962 182576,7116 699577,3260 347877,9353 679978,5426 4477

44,0031 790744,7427 830145,4769 0r0846,20?3 ó81646,933ó 7896

47,6556 880248,3734 098049,0870 686649,7965 884650,5019 9350

51,2033 075451,9006 543rt2,5957 573953,2829 402453,9681 261?

54,6493 38365ó,3265 998656,9999 335856,6693 623057,3349 0867

67,996ó 9520585644 442759,3084 781559,9ó87 189660,6051 8869

6r,2479 092261,8869 022962,622L 496263,1537 923963,7877 !229

64,4060 304466,0267 079865,643? 869066,2672-860766,8672 2625

67,4736 300768,0765 170668,6769 075969,2718 219769,8642 8033

70,4533 027371,0389 09107L,62LL t92S72,1999 524472,7754 2960

?3,347ó 686973,9163 897574,4819 119375,0441 ó,136?5,6031 3606

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23,5421 890r124,3594 928625,L707 t2ól25,9758 988126,7?50 8021

27,5683 1?8E28,35ó6 50{ri29,1371 220829,9127 762130,6826 ó630

31,4468 062632,2052 657632,9580 80r633,70ó2 90¡1834,4469 38,1,1

35,1830 6ó4635,9137 126036,6389 207037,3687 302238,0731 8136

38,7823 140r39,4861 677640,184? 818940,8?81 96424t,6664 4?O7

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14,4202922716,2299 182916,O295 489316,8193 07ó917,5993 1613

18,3696 949519,r305 629119,8820 374420,6242 346t2r,3672 6866

22,O8L2 529922,7962 992523,5026 L77824,2000 176624,8889 0623

25,5692 90i026,2472 74ta26,9049 621527,5604 564424,2078 5822

24,8472 673729,4787 825930,1025 013330,7185 198331,3269 3316

31,9278 362232,52t3187433,10?4 ?53033,6863 953634,2581 6826

34,8228 822235,3806 2442368314 809136,4756 367037,OL28 7675

0,9862 21671,9666 89422,5t22 00423,8643 84664,7826 4497

6,6971 871?6,6982 13967,4869 26088,3605 17829,222L 8466

10,0711 1779108075 0521tt,7316 322212,5433 815013,3432 3301

14,1312 640514,9076 493115,6?26 608916,4261 683?17,1686 38?9

17,9001 36?378,6208 243719,3308 6r4620,0304 053720,7196 1120

21,3986 317222,067 6 77 4622,7267 167L23,3760 755824,0158 3801

24,6461 468226,2671 3A7425,8789 544226,4817 284927,0755 9458

27,6606 843128,2371274028,8050 516329,3645 828829,9158 4620

30,4589 60?930,9940 50043t,6272 gr5732,0406 222332,6523 3718

33,0ó64 898333,5ó31 919534,0425 636534,ó246 833934,9996 8807

0.9828 00981,9486 98?62,8979 84083,8309 42644,?478 6608

6,6489 9?626,6346 41397,4060 62978,2604 9432I,LOI? 229L

9,9274 918110,7395 496911,53?6 4097L2,3220 068713,0928 8046

13,8504 967?14,5950 8282t5,9268 621216,O460 567316,7528 8130

77,4476 49L918,1302 694878,8072 476419,4606 856520,1087 8196

20,7457 376627,37!7 26442r,9869 547422,69r6 017123,1858 4934

23,7698 765024,3438 589724,90?9 695126,4623 77A926,0072 5100

26,5427 628327,0690 445527,1862 845728,0946 286728,6942 2956

29,0852 378929,6678 013630,o42Q 662230,604L 722730,9662 6261

3t,4164 7 43L31,8589 428132,2938 O12932,72Lt 806333,1412 0946

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5,6014 30896,4719 91077,A264 81448,1622 36?18,9825 8601

9,7868 480510,6753 4t227L,3483 7575L2,7062 487712,8492 6350

13,6?77 093114,2918 718814,9920 312515,6784 620116,3514 3334

17,0112 091617,6580 4820L4,2922 04t218,9139 256019,6234 5647

20,1210 367620,?068 978021,2872 723621,8443 846622,?964 6656

22,9377 Ot6223,4683 34A223,9886 635624,4985 9L7224,9986 1933

2l,48aB 424826,9694 534126,4406 406026,9026 888327,3554 7924

27,7994 a94628,2547 936828,661á 623329,0?99 630729,4901 5987

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45,5896 892646,2424 677646,8911 838847,5446 798248,7733 7362

48,8073 186349,4365 446ó50,0610 864050,6809 790651,2962 67L3

61,9069 549762,5131 066?63,1147 460763,7119' ,067754,3046 2210

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67,7695 974668,3319 081658,8902 314159,4443 984269,9944 4012

60,6403 87226L,0822 70L961,6201 193062,1ó39 645662,6838 3579

69,2097 626763,7377 742764,2499 000264,7641 68?665,2746 0918

65,7812 498166,2E4r r89266,7832 446867 ,27 86 64676?,7703 7685

68,2684 385668,7428 670569,2236 893869,7009 323970,r746 2272

39,7981 361740,3947 942340,9849 607241,5686 640842,t471 9216

42,7199 922443,2871 2LO243,8486 346844,4045 887944,96ó0 3841

46,ó000 380346,0396 416146,6739 025847,7028 738647,6266 0777

48,L46L 662L48,6685 ?0ó049,1669 014949,6701 994960,1686 1435

50,6618 953961,1503 9148ó1,6340 609762,tt2g 217662,5870 5124

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67,5026 495L67,9234 153568,3400 152058,7624 903059,1608 8148

59,5662 291959,96ó5 734660,3619 539260,7544 098261,r429 8002

61,5277 029961,9086 168262,2857 592362,6591 675ó63,0288 78?7

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40,1004 312840,6930 186ó4L,O795 244941,5600 241942,0346 9179

42,5033 0064429662 227643,4234 298843,4749 924744,3209 8022

44,7614 6t9545,1966 066346,626L 784046,050ó 466646,4696 7662

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52,5136 3909528529 768863,188r 263153,6191 361153,8460 6035

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56,7245 703r56,0242 6698ó6,3202 636856,6126 061056,9013 3936

36A676 729835,9247 478536,8829 969036,8305 388237,2714 6681

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33,6640 142r33,969? 191334,3684 463234,7603 157936,1354 4ó60

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43,L252 429843,3663 321743,6032 748643,8367 423744,06ó0 04?9

44,2899 309944,5109 886944,7282 444144,9417 635545,1516 1037

46,3578 480345,ó605 386046,7597 43tO45,9555-2r4746,1479 3265

46,3370 345ó46,5228 840846,?055 371846,8850 488247,0614 7304

31,78?8 {89292,1449 409232,49ó0 489432,8382 882733,r741 5762

33,6046 936ó33,8281 310Ss4,t462 266034,4661 044134,?608 8668

35,0ó96 928235,3626 400235,6398 43103ó,9214 148636,1974 6556

36,4681 034836,7334 34?836,9936 63613?,2485 916837,4986 1929

37,7437 444137,9840 631438,2196 697ó38,4506 566238,6?71 1433

38,8991 31?039,1167 957839,3301 919439,5394 038639,7446 13ó9

39,94ó6 015640,1427 466340,3360 261140,5266 167940,7112 8999

40,8934 215641,0719 819247,2470 4LtO41,4186 6?7441,6869 2916

41,7618 913341,9136 189642,O72L 754542,2276 229942,3800 2264

42,ó294 338642,6759 1ó6542,8195 250542,9603 186743,0983 ó164

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13,0550 0286r3,7121 977214,3ó33 636814,9788 913415,6891 6229

16,1846 486?16,7654 132417,3321 104817,8849 868318,4243 7642

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21,3954 074 l21,8497 779['22,2918 fiotr.l22,7237 86'¿tr23,1451 573¡

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22,7009 tSrS22,8994 578023,0912 442523,2765 641023,4556 1787

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14,0291 599514,4511 153314,8568 416?15,2469 631475,6220 7994

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0,0261 90660,0254 39570,0247 28080,0240 53r10,0234 1194

o,o22a 0209o,0222 27330,0216 67620,0211 39120,0206 3415

0,0201 51r80,0196 8880o,ot92 46720,0188 20770,0184 1285

1p000 00000,4989 60500,3319 48290,2484 42910,1983 4026

0,1649 38980,1410 81330,1231 88460,1092 72090,0981 3929

0,0890 30900,0814 40820,0750 18660,069ó 14160,0647 43?8

0,0606 69880,0668 87200,0536 13870,0506 85250,0480 4963

0,04ó6 65170,0434 97600,0415 18664,0397 04720,0380 3603

0,0364 95810,0350 6978o,o3g7 45720,0325 13070,0313 62?0

0,0302 8663o,0292 77910,0283 30410,0274 38730,0265 9809

0,0258 04230,02ó0 63360,0243 42080,02s6 6736o,0230 2644

0,0224 16850,0218 3637o,o2r2 a2960,0207 64740,0202 ó008

0,0197 67430,0193 06370,0188 62630,0184 38010,0180 3044

1,0000 00000,4987 63120,3316 72210,248L 32790,1980 099?

0,1646 95460,1407 2864o,L228 28860,1089 07360,0977 7057

0,0886 59030,0810 66430,0746 42240,0691 36090,0643 6436

0,0601 89370,0565 05790,0532 31730,0503 02530,04?6 6646

0,0452 81630,0431 13800,0411 346ó0,0393 20610,0376 5186

0,0361 11630,0346 85650,0333 6167o,032L 29140,0309 7892

0,0299 03040,0288 9453o,o279 47270,0270 55860,0262 1550

0,0264 2L940,0246 71390,0239 60460,0232 A6070,0226 4662

0,0220 36310,02L4 66220,0209 03200,0203 75410,0198 7117

0,0193 88940,0189 27330,0184 86030,0180 60870,0176 5376

1,0000 00000,4985 46910,3313 96430,2478 28tO0,19?6 8024

0,1642 62600,1403 7653o,L224 70L80,1086 43660,09?4 0299

0,0882 88420,0806 93410,0742 67800,0687 69620,0639 8666

0,0698 10680,0661 26320,0628 51650,0499 21980,0472 8566

0,0449 00500,0427 g25l0,0407 53290,0389 39250,0372 706á

0,03ó7 30430,0343 04600,0329 80820,0317 48530,0305 9857

o,o295 22990,0286 14820,0276 67910,0266 76870,0268 3691

0,02ó0 43?60,0242 93650,0235 83150,0229 0925o,o222 6917

0,0216 60460,0210 80870,0205 28360,0200 01100,0194 9740

0,0190 15710,0186 64650,0181 12910,0176 8932o,oL72 8278

1,0000 00000,4988 88870,3311 20960,2476 L3A40,19?3 5106

0,1639 10420,1400 2531o,t22L L2400,1081 80960,0970 3654

0,0879 19050,0803 21760,0738 93850,0638 84840,0636 1067

0,0ó94 33820,055? 48800,0524 73630,0495 43610,0469 0696

o,o44t 2L760,0423 63740,0403 74560,038ó 60620,0368 9210

0,0353 52200,0339 26640,0326 03170,0313 71230,0302 2166

0,0291 46490,0281 38750,0271 92310,0263 01760,0254 6231

0,0246 69?00,0239 20130,0232 1020o,o225 36870,0218 9739

0,0212 89280,0207 10310,0201 58430,0196 31800,0191 2875

0,0186 47720,0181 8732o,oL77 46260,0173 23340,0r69 1749

7+%

08302 82661,7966 06172,6006 26743,3493 26274,0468 8490

4,6938 46426,2966 01325,8673 03656,3?88 87036,8640 8096

7,3L64 24L67,7352 78278,1258 40268,4891 5373a,a27I t974

9,1415 06749,4339 69769,7060 09089,9690 7821

10,1944 9136

10,4134 803310,6171 910110,8066 893110,9829 668011,1469 4586

LL,2994 446211,4413 809511,6733 ?76311,6961 652411,8103 8627

11,9166 3839t2,o754 776712,1074 209912,L929 497612,2725 tt4L

t2,3465 222412,4153 695272,4794 L36712,5389 893112,5944 0866

12,6459 615612,6939 177212,7986 zA112,7800 261512,8186 2898

12,8645 38ó812,4879 428712,9190 1662L2,9479 224472,9748 7t67

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0,02ó9 211981,7832 6{?02,ó77O 96093,312r X08{8,992? 100{

4,6228 79666,2068 ?0066,7466 889¡¡6,2468 8?9r6,7100 8140

7,L349 64247,6360 780s7,9097 76948,2442 36988,5ó94 7869

8,8513 69189,1216 38119,3718 87149,6035 99209,8181 4741

10,0168 031610,2007 436610,3710 5896LO,5287 5828to,6747 7619

10,8099 779510,9351 647711,0610 784911,1684 0601LL,2677 8394

11,349? 993911,4349 994411,6138 883711,ó869 336711,6ó4ó 6822

7L,777r 927911,7761 786111,8288 689911,8786 824011,9246 1333

L1,9672 346712,0066 986712,0432 3951L2,0770 736212,1084 0160

12,r374 0880L2,L642 674112,1891 36{912,2L21 6341L2,2334 8464

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MAt FMA I t ( :Ah t tNAN( I r t lArr

0,0184 08860,0180 31840,0176 69060,0173 19740,0169 8314

0,0166 68680,0163 46420,0160 43080,0167 ó1010,01ó4 6869

0,0151 9ó64op149 31420,0146 7561o,0L44 27800,0141 8764

0,0139 54760,0137 2886o,0135 09610,0132 96740,0130 8996

0,0128 89020,0126 93680,012á 03?00,0123 18870,0121 3898

0,0119 63850,0117 93270,0116 27080,0114 66110,0113 0721

0,0111 53210,0110 02980,0108 ó6390,0107 13300,010ó 7369

o,0104 37140,0103 03840,0101 73670,0r00 46260,0099 2177

0,0098 00040,0096 80960,0096 64460,0094 50440,0093 3884

0,0092 29670,0091 22670,0090 17?60,0089 16080,0088 1446

0,0180 2096o,0176 44180,0172 81660,0169 32690,016ó 9626

0,0162 71960,0169 69070,0166 57010,0158 66220,0160 8319

0,0148 10430,0145 46600,0142 90980,0140 43480,0138 0361

0,0135 71060,0133 4ó4óo,0t3t 26620,0129 1395o9r27 0749

0,0125 06870,0123 118óo,ot2t 22200,0119 37690,0117 5813

0plr5 83320,0114 13080,oL72 47220,0110 85690,0109 2802

0,0107 74360,0106 2447o,oL04 78220,0103 35470,0101 9610

0,0100 60000,0099 2?040,0097 97130,0096 70160,0095 4602

0,0094 24640,0093 06920,0091 89760,0090 76r00,0089 6486

0,0088 569¿0,0087 49290,0086 44840,008ó 4262o,oo84 4226

i-q12 .-

0,0176 3891o,0t72 82490,0169 00330p166 51640,0162 1667

0,0168 91760,0166 79270,0162 ?7600,0149 8620o,ot47 0467

o,ol44 32210,0141 68690,0139 13580,0136 66490,0134 2704

0pr31 9489qor29 69720,0127 5t2t0,0125 39080,0123 3304

0,0121 32850,0119 38270,0117 49060,0116 64980,0113 8586

0,0112 11600,0110 41700,0108 76290,0107 15100,0105 6798

0,oLo4 04770p102 óó340,0101 09540p099 67240,0098 2833

0,0096 92680,0096 60180,0094 30730,0093 04220,0091 8055

0p090 69620,0089 41360,0088 26680,0087 12480,0086 0170

0,0084 93260p083 870?0,0082 83090,0081 81240,0080 8146

0,0172 62690,0168 86760,016ó 26070p161 76860,0158 4139

0,0166 17970,0162 06980p149 04810,0146 13920,0143 3280

0,0140 60960,0137 9?960,0136 433?0,0132 96810,0130 6789

0,0128 26270,0126 01630,0123 8366o,otzl 72060,0119 6667

0,0117 66930,0115 72890,0113 84220,0112 00?00,o7L0 2274

0p108 48320,0106 79080,0106 14230,0103 53600,0r01 9704

0,0100 44390p098 95620,0097 50280,0096 08660,0094 7021

0,0093 36130,0092 03200,0090 74310p089 483?o,oo88 2627

0,0087 04930,0086 8?240,0084 72130,0083 ó9600,0082 4930

0,0081 41430p080 3683o,oo79 32420,0078 31r60,0077 3r94

0,0168 92300,0166 16940,0161 66860,0168 08240,0164 7837

0,0161 60660,0148 39180,0146 38630,0142 48360,0139 6?87

0,0136 96660,0134 34280,0131 80330,0129 34400,0126 9612

0,0124 66160,0122 41160,0120 23830,0118 12890,0116 0806

0,0114 09060,0112 16670,0110 2?660,0108 44810,0106 6690

0,0104 93760,0103 25170,0101 60990,0100 01030,0098 4514

0,0096 93160,0096 44960,0094 00400,0092 ó93é0,0091 2168

0,0089 87270,0088 56020,0087 27810,0086 02650,0084 8013

0p083 60470,0082 43,160,0081 29030,0080 17090,0079 0?5?

0,0078 00380p076 96470,007ó 92760,0074 92160.0073 9363

0,016ó 2??00,0161 680,10,0167 02660,0164 ,16?80,0161 1160

0,0147 896r0,0144 ?8860,0141 ?9080,0138 89490,0136 0973

0,0133 39260,0130 7763o,ot28 24420,0126 79230,0123 4171

0,0121 11490,0118 88260,0116 71680,0114 61500,07L2 6742

0,0110 69190p108 66ó70,0106 79330,0104 97250,0103 2011

0,0101 4?730,0099 ?9930,0098 16620,0096 5?330,0096 0222

0,0093 61020,0092 03600,0090 69820,0089 19660,0087 8266

0,0086 49040,0086 186?0,0083 91160p082 66670,0081 4604

0p080 26160,0079 09940,007? 96290,00?6 86140,00?ó ?641

0,00?4 70010,0073 6ó880,0072 63940,0071 64160,00?0 66,12

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^ . o ,0209 227 6ú-: o.o2og 44s2l : o,o r sz ca se: ' 0,0192 6?5ru4 0,018? 6521

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1,0000 00000,4981 32000,3308 45?90,2472 060L0,1970 2242

0,1635 68910,1396 7488o,L2L7 55520,1078 19290,0966 7123

0,08?5 50940,0799 51480,0735 21880,0680 11460,0632 3639

0,0690 58?90,0553 73210,0520 9?660,0491 67400,0465 3063

0,0441 45430,0419 77480,0399 98460,0381 84740,0365 1650

0,0349 76930,0335 5r?6o,0322 28710,0309 97230,0298 4816

0,0287 73620,0277 66340,0268 20480,0259 30530,0250 91?0

0,0242 99730,023ó 5082o,0228 47570,0221 68930,0215 3016

1,0000 00000,4975 L2440,3300 22110,2462 8to90,1960 3980

o,L626 48370,1386 28280,1206 90290,1067 40360,0955 8208

0,0864 54080,0788 48790,o724 14820,0669 01170,0621 2378

0,0579 44600,0542 58060,0509 82050,0480 51750,0454 153r

0,0430 30?50,0408 63?20,0388 8584o,0370 73470,0354 06?5

0,0338 6888o,0324 4553o,o?Lt 24440,0298 95020,0287 4811

0,0276 75730,0266 70890,0.¿67 27440,0248 39970,0240 0368

o,0232 7431o,0224 68050,0217 61500,0210 91600,0204 5560

0,01 98 51020,0192 75630,0187 27X?0,0182 04410,01 77 0505

o,0172 27750,016? 71110,0163 3384o,or59 74740,0155 1273

1,0000 00000,4968 94410,3292 0LL70,2463 61020,1950 62r1

0,1615 33810,1376 88720,1196 33140,1056 70550,0945 030?

0,08ó3 68390,0777 58310,0713 21000,0658 05150,0610 2646

0,0568 46720,0531 60230,0498 84?90,0469 ó5480,0443 2039

0,0419 3?490,0397 72380,0377 96660,03ó9 8665o,o343 2247

o,o32? 87290,0313 667?0,0300 48630,0288 2228o,0276 7854

0,0266 09420,0256 07910,0246 6?860,0237 83870,0229 5111

0,0221 6533o,o2t4 22?Q0,020? 19830,020G 53650,0194 2141

0,0188 20630,0182 4906o,0177 04660,0171 85570,0166 9012

0,0162 16750,0157 64060,0153 30750,0149 1 5630,0145 1763

1,0000 0000o,4962 77920,3283 8296o,2444 44790,1940 8932

0,1605 25210,1366 66160,118ó 84020,1046 09820,0934 3418

0,0842 93840,0766 79990,0702 40360,0647 23320,0599 4436

0,0567 66080,0520 79660,0488 05780,0458 784?0,0432 4574

0,0408 65500,0387 03320,0367 3075o,0349 24100,0332 6345

0,0317 3196o,Q303 15270,0290 0108o,0277 78780,0266 3919

0,0255 74300,0245 77100,0236 41440,0227 61890,0219 3363

o,0271 52400,0204 74370,0197 16130,0190 5463o,0784 2770

0,e178 3r06o,o772 64260,ot67 24650,0162 10380,0157 19?6

0,0152 51250,0148 03420,0143 75000,0139 64780,0135 7168

1,0000 00000,4966 62960,3276 67460,2435 32370,1931 2L42

0,1595 22560,1365 30590,t175 42920,1035 58130,0923 7á34

0,0832 30380,0756 137?0,0691 72830,0636 55620,0588 7739

0,0546 99580,0510 16230,0477 44920,0448 2061o,o42t 9122

0,0398 14640,0376 56380,0356 8?960,0338 85650,0322 2952

0,0307 0269o,0292 90790,02?9 81ór0,0267 64240,0256 29?5

0,0246 7OO50,0236 78L2o,0226 47790,021 7 73630,0209 5082

0,0201 7507o,0794 42570,018? 49900,0180 9399o,o774 7209

0,0168 81700,0163 206?0,01 5? 86660,0152 78rO0,o14? 9321

0,0143 30430,0138 88360,0134 65690,0130 61240,01 26 739r

lAlr l A¡¡

1,0000 00000,4960 49600,3267 64670,2426 23750,1921 5839

0,1585 25810,134t 11960,1166 09800,t026 L5440,0913 2653

o,c82r 77940,0745 59600,0681 18350,0626 019?o,o578 2547

0,0536 50130,0499 69840,046? 02100,0437 8777o,047t 5672

0,0387 84770,0366 31400,0346 68100,0328 71 10o,0gt2 2044

0,0296 99230,0282 93090,0269 89670,o25? 78360,0246 4992

0,0235 96350,0226 10610,0216 86530,0208 18670,0200 0221

0,0192 32850,0r85 0678Q,O778 2067Q,Or7l71t40,0165 5575

0,0159 7188o,0154 77290,0148 89930,01 43 87940,0139 0962

o,0134 53420,0130 1?920,0126 01840,0122 03960,01 18 2321

' lAl f l ,A Vl l V¡k¡rc l dr ' l l ¡c l r ¡ r ¿l dc r¡¡r¡ ¡ ¡ ru¡ l l r l ¡d ordl l rsr l ¡

Not,rr ' rorr t 's t . i r r r f ¿r: (A/1 , ú1, , n l (Nl i t '1, , , t l (A/ l ) i l , , t t ) | l

N.lat : i r inalgcbraica: ¡ r iy, - , , l , , , ' , , r , ( r t l f , ' ,J

lAl lLA VII Valores del factor .4 de una anualidad ordinariaNrrtación estándar: (NF, i%,

"¡, (il| i%, n) = (,4/E i%, n) + i

Notación algebraica: ,ir, -rt = A;#l

. rl

11*lniu" ic"

0l620: l6{6f'

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0,0 t0,0 t0,0 t0,0 |0,0 |

0,0I0,000,0( l0,(x)0,00

o,( |o0,0|ro,(10o,()r lo,()0

o,(x l0,(x,0,000,000.00

rAFI AÉ rMAll MAl l ( .Ar ' I lNANl . l l l lAf r

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' lA l t l ,A Vl l V¡ lorc¡ dcl l ¡ r ' l r ¡ r 4 r l t ' t t ¡ r ¡ ¡ r ¡u¡ l l t l ¡d rrr t l l l t ¡ r l ¡

Nol,¡trorrr.sl , i rrr l .¡r : ( t l / l , r ' ) l i ' , t¡ l ; ( t1/ l i t '1,, t t) (A/1, r ' ) l ' , t t , | |

N.raci í r ¡ r a lgcbraica: 1; i r , , [ , , i ' , , , , t t , l l , , ' , ]

r f,%o

'lnl lLA VII Valores del factor r l dc una anuali t lad ordin¿ri¿¡

Notaciónestánda¡: (NF, i%, n\; (NP, i%, n) : (NE i%, n) + i

Notaciónalgebraica: fi,,

-,["¿-

= A.#=. ,

t lvo 3Vo s+c" 4Vo

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3

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0,0161 68880,0157 95030,0164 3ó460,0150 89380,0147 660ó

0,0144 34780,0141 24960,0138 25970,0735 37270,0132 5836

0,0129 88730,oL27 27960,0L24 7560o,oL22 31270,0119 9460

0,0117 65240,0r16 42860,0113 2?160,0111 17850,0109 1464

0,0107 17280,0105 26540,0103 39170,0101 57960,0099 8170

0,0098 10200,0096 43280,0094 80740,0093 22440,0091 6821

0,0090 17900,0088 71360,008? 28470,0086 89080,0084 5308

0p083 20340,0081 90?60,0080 64230,0079 40640,0078 1989

0,007? 01900,00?ó 8657o,0074 73820,0073 6356o,oo72 65',11

0,0071 50200,0070 46960,0069 45920,0068 47010,0067 5017

0,0151 26800,0147 56030,0143 99560,0140 56580,0137 2637

0,0134 08240,0131 01560,0128 0573o,oL25 2020o,0722 4445

0,0119 78000,0117 20410,0114 71250,0112 30130,0109 9667

0,0107 70ó20,0105 51360,0103 38890,0101 32800,0099 3282

0,0097 38700,0095 50190,0093 67060,0091 89100,0090 1609

0,0088 47840,0086 84160,0085 24880,0083 69830,0082 1885

0,0080 71790,0079 28510,007? 88870,0076 52730,0075 1998

0,00?3 90500,0072 64180,0071 40890,0070 20560,0069 0306

0,0067 88320,0066 76240,006ó 66730,0064 ó9?10,0063 5511

0,0062 52840,0061 62840,0060 55030,0059 59360,0058 6574

0,0141 36710,013? 689?0,0134 16530,0130 ?7600,012? á146

0p124 3?390,0121 34780,0118 43030,011ó 61580,0112 8993

0,0110 27580,0107 7i !100,0105 29040,0102 92030,0r00 6268

0,0098 406ó0,0096 2ó600,0094 1724o,oo9216270,0090 1941

0,0088 29410,0086 45010,0084 66000,0082 92150,0081 2325

0,0079 59100,0077 99530,0076 44360,0074 93410,0073 4652

0,0072 03560,0070 64370,0069 28810,0067 96750,0066 6808

0,0065 42670,0064 20410p063 01190,0061 84910,0060 7146

0,0069 60?60,0058 52720,0057 47240,0056 44250,0055 4366

0,0054 46410,0053 49410,00ó2 56600,0051 63910,0050 ?428

0,0131 9469o,0L28 32870,0124 853?0,0121 51380,0118 3018

0,0115 2106o,oLlz 23410p109 36610,0106 60120,0103 9343

0,0101 36040,0098 87510,0096 47410,0094 15340,0091 9094

0,0089 73860,0087 63760,0085 60330,0083 63290,0081 7235

0,0079 87270,0078 07790,0076 33680,0074 64730,0073 0072

0,0071 41460,0069 86760,0068 364ó0,0066 90360,0065 4832

0,0064 10190,0062 75830,0061 45090,0060 17840,0058 9396

0,0057 73330,0056 á5840,006ó 41380,0054 29840,0053 2113

0,0052 1ó160,0051 11820,0060 11040,0049 12730,0048 1681

0,0047 23210,0046 31860,0046 42680,0044 66600,0043 7067

0,0123 02690,0119 46660,0116 0492o,oLLz 76720,0109 6129

0,0106 5?9ó0,0103 66060,0100 86030,0098 14300,0096 5336

0,0093 01720,0090 58920,0088 245á0,0086 98210,0083 7952

0,0081 68130,0079 63720,0077 66970,0075 74590,0073 8930

0,0072 09850,0070 36000,0068 67600,0067 04130,006ó 45?0

0p063 92000,0062 42860,0060 98060,00ó9 57480,0058 2093

0,0056 88280,005ó 59360,0054 34060,0053 12230,0061 9375

0,0060 78ó00,0049 66360p048 ó7240,0047 ór020,0046 4760

0,0045 46900,0044 48820,0043 ó3270,0042 601?0,0041 6944

0,0040 81010,0039 94800,0039 10740,0038 28760,0037 ,1880

0,0r r4 ü8Ó00,0111 09090,0107 ?3920,0104 62260,0r01 433?

0,0098 46660,0095 61200,0092 866?0,0090 22430,0087 679?

0,0085 22?80p082 86430,0080 58480,00?8 38560,0076 2624

0,0074 2\220,0072 23160,0070 31?30,0068 46650,0066 6?65

0,0064 94460,0063 26830,0061 64540,0060 07360,0058 5508

0,0057 07510,0055 64470,0054 26760,0052 91230,0051 60?1

0,0050 34050,0049 11100,0047 91730,0048 75810,0046 6321

0,0044 53810,0043 4?500,0042 44160,0041 43?00,0040 4602

0,0039 ó1010,0038 68ó90,0037 68680,0036 81180,0035 9602

0,0036 13130,0034 32420,0033 63830,0032 77290,0032 027,t

zlv"

1,0000 00000,4938 2?160,3251 37170,2408 1?880,1902 4686

0,1565 49970,1324 95430,1144 67360,1004 56890,0892 5876

0,0801 05960,0724 87t30,0660 48270,060ó 36520,0ó57 6646

0,0515 9899o,0479 21710,0446 70080,041? 60620,0391 4?13

0,036? 87330,0346 46610,0326 96380,0309 12820,0292 7592

0,o27'l 68750,0263 ?6870,0250 87930,0238 9r2?0,0227',]'164

0,0217 39000,0207 68310,0198 593{r0,0190 06750,0182 05511

0,0174 51580,016? 40900,0160 70120,0154 36150,0148 3623

0,0142 6?860,0137 28?60,0132 16880,ot27 30370,0122 6751

0,01 18 26?60,01 14 06690,0110 06990,0106 23480,0102 5806

1,0000 00000,4926 10840,3236 30360,2390 27050,1883 ó4ó?

0,1545 97ó00,1305 06350,1124 56390,0984 33860,0872 30ó1

0,0780 77450,0?04 62090,0640 29540,0585 26340,053? 66ó8

0,0496 10850,0459 52530,0427 08700,0398 r388o,o312 l57r

0,0348 71780,0327 4?390,0308 13900,0290 4742o,o27 4 27 87

0,0259 3829o,0245 64210,0232 9323o,0227 14670,0210 1926

0,0199 98930,0190 46620,0181 56120,0173 21960,0165 3929

0,01 58 03790,0151 11620,01 44 59340,0138 43850,0132 6238

r\,0127 12410,0121 91670,01 16 98110,0112 29850,010? 8518

() ,0103 62540,0099 60510,0095 777?0,0092 13140,0088 6549

1,0000 00000,4914 00490,3219 34180,2372 61140,1864 8137

0,1626 6E210,128ó 44490,1104 766ó0,0964 46010,0852 413?

0,0760 91970,0684 83950,0620 61570,0ó65 70?30,0518 2507

0,0476 84830,0440 43130,0408 16840,03?9 40330,0353 6108

0,0330 36590,0309 32070,0290 1880o,0272 7283o,0266 7 444

o,0242 05400,0228 52470,0216 02650,0204 46380,0193 7133

o,0183 7 2400,01?4 41á00,0165 72420,0157 59660,0149 9835

0,0142 84160,0136 13250,0129 82140,0123 87750,0118 2?28

0,0112 98220,0107 98280,0103 25390,0098 ??680,0094 5343

0,0090 51080,0086 69190,0083 06460,00?9 61670.0076 3371

1,0000 00000,4901 96080,3203 48540,2354 90050,1846 2711

3,1507 61900,1266 09610,1086 27830,0944 92990,0832 9094

0,0741 49040,066ó 52170,0601 43730,0546 689?0,0499 4110

0,0458 20000,0421 98520p389 93330,0361 38620,0335 8175

0,031 2 801 10,0291 98810,0273 09060,0255 86830,0240 1196

o,0225 67380,0212 38540,0200 1 2980,0188 79930,0178 3010

0,0168 55350,0159 48590,0151 03570,0143 14770,0135 7732

0,0128 86880,0122 39570,0116 31920,0110 60830,0105 2349

0,0100 1738' o,oo95 4o2o

0,0090 89890,0086 64540,0082 6246

0,00?8 82050,0075 21890,00?1 80650,0068 57120,0065 5020

+luo

1,0000 00000,4889 97560,3187 73360,2337 43660,182? 9164

0,1488 78390,7247 0t470,1066 09650,0926 7 447010813 ?882

o,o722 4Ar80,0646 66190,0582 75350,0528 20320,0481 1 381

0,0440 163?0,0404 17580,0372 36900,0344 07340,0318 7614

0,0296 005?O,O276 4568¿0,0256 82490,0239 87030,0224 3903

0,0210 2r370,019? 19460,0185 20810,0174 14610,0163 9154

0,0154 43450,0145 632C0,013? 44530,0129 8191o,0122 7 045

0,0116 05?80,0109 84020,0104 01690,0098 á56?0,0093 431 5

0,0088 61580,0084 08680,00?9 E2350,0075 60?1o,0o72 o2Q2

0,0068 44?10,0065 07340,0061 88580,0068 87220,0056 0215

1,0000 00000,48?8 04880,31?2 08560,2320 11830,1809 7480

0,1470 t7470,1228 19820,1047 21810,0906 90080,0795 04ó?

0,0?03 88890,0628 2ó410,0564 55?70,0510 23970,0463 4229

0,0422 69910,0386.99140,035ó 46220,0327 4ó010,0302 4259

0,0279 96110,02ó9 70510,0241 36820,0224 70900,0209 5246

0,0195 64320,0182 91860,0177 22630,0160 45510,0150 5144

0,0141 3212o,o732 80420,0124 90040,011? 554ó0,0110 ?171

0,0104 34460,0098 39?90,0092 84230,0087 64620,0082 ?816

0,0078 22290,0073 94?10,0069 93330,0066 16250,0062 6173

0,00ó9 28200,00ó6 14210,0053 r8430,0060 39650,0047 7674

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MAI FMA I t ( :AH I INAN(irhhAr¡

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' lA l l l ,A Vl l V¿r lores t l r ' l l ¡e lor ¡ l dt r ¡ r r ¡ .utu, t l l ( lá( l r ¡ r t l ln¡r l ¡

Nol,rr ' iorr t ,sl , i ¡r t f ,¡r : (A/l ' , ú,, t t \ ; (A/l t , t ' / , , t t l ( t1/ l) t ' )1,, l l | ¡

Notacit in alge braica: , !- , l . ! . , - , , l( t+ i )" l ' l l ( l f , ) " ( t t i ) " I J

^l*o 7'-/o6Vo 74o 7 l ' / ,

1,0000 00000,4866 18000,3156 54070,2302 94490,L791 7644

0,1451 78950,1209 64420,1028 64010,0888 39460,0776 6177

0,0685 ?0650,0610 29230,0546 8426o,0492 79120,0446 2560

0,0405 82540,0370 41970,0339 19920,0311 ó0060,0286 7933

o,0264 64789,0244 71230,0226 696ó0,0210 35800,0196 4936

0,0181 930?0,0169 52280,0158 14400,0147 68570,0138 0539

0,01 29 16650,0120 96190,0113 34690,0106 29580,0099 7493

0,0093 66350,0087 99930,0082 72170,0077 79910,0073 2034

0,0068 90900,0064 89270,0061 133?0,0067 61280,0054 312?

0,0051 21750,0048 31290,0045 58540,0043 02300,0040 6145

1,0000 00000,4854 36890,3141 09810,2285 9r490,1?73 9640

0,1433 62630,1191 35020,1010 35940,0870 22240,0?58 6?96

0,0667 92940,0592 ?7030,0529 60110,0475 8491o,o429 6276

0,0389 52140,03ó4 44800,0323 56540,0296 20860,0271 8456

0,0250 04550,0230 45570,0212 ?8480,0196 79ooo,0182 2672

0,0169 04350,0156 971?0,0145 92550,0135 79610,01 26 4891

o,o11-7 92220,01 10 02340,0102 72930,0095 98430,0089 7386

0,0083 94830,0078 5?430,0073 58120,0068 93770,0064 61 54

0,0060 58860,0056 83420,0053 33120,0050 06060,0047 0050

0,0044 14850,0041 47680,0038 97650,0036 63560,oo34 4429

1,0000 00000,4842 61500,3125 7 57 00,2269 027 40,1756 3454

0,1415 68310,11?3 3r370,0992 37300,0852 38030,0741 0469

0,0650 55210,0675 68170,0512 82ó60,0459 40480,0413 52?8

0,0373 77670,0339 06330,0308 54610,0281 55?ó0,025? 5640

0,0236 13330,0216 91200,0199 60?80,0183 9?700,0169 8148

0,0166 94800,0146 22880,0134 53050,0724 7 440o,0115 7 7 44

0,0107 53930,0099 96650,0092 99240,0086 56100,0080 6226

0,0075 1 3320,0070 05340,0065 34800,0060 98540,0056 9373

0,0053 17790,0049 68420,0046 43520,0043 41 190,0040 5968

0,0037 97430,0035 53000,0033 25050,0031 12400,0029 1393

1,0000 00000,4830 91790,3110 616?0,2252 28120,1738 9069

0,1397 95800,1 155 5322o,o97 4 67760,0834 86470,0723 7750

0,0633 56900,0559 01990,0496 50850,0443 44940,039? 9462

0,0358 67650,0324 26L9o,0294 72600,026? 53010,0243 9293

0,0222 89000,0204 05770,018? 13930,0171 89020,0158 1052

0,0146 6103o,0734 26730,0123 91930,0114 48650,0105 8640

0,0097 96910,0090 ?2920,0084 080?o,0077 96740,0072 3396

0,0067 1 5310,0062 36850,005? 9á050,0053 86760,0050 0914

0,0046 59620,0043 35910,0040 3ó900,0037 5?690,0034 995?

0,0032 59960,0030 37440,0028 30700,0026 38530,0024 5985

1,0000 0000Q,4819 27710,3095 3?630,2235 6761o,t72t 6472

0,1380 44890,1138 0032o,o957 27020,081? 67160,0706 8593

0,0616 97470,0542 77850,0480 64200,0427 97370,0s82 8724

0,0343 91160,0310 00030,0280 28960,0254 10900,0230 9219

0,0210 29370,0191 86870,0175 35280,0160 50080,0147 1067

0,0134 9961o,0724 02040,0114 05200,0104 98110,0096 7 724

0,0089 16280,0082 25990,0075 93970,0070 14610,0064 8291

0,oo59 94470,0055 45330,0051 3197o,0047 57240,0044 0031

0,0040 76630,003? ?7890,0035 02010,0032 47100,0030 1146

0,002? 93540,0025 91900,0024 05270,oo22 32470,oo20 7241

t1"7,

r ,0000 00000,4807 00230,3080 33ó l0,221 9 20800,1?04 604ó

0,1363 1639Q,tt2Q 72400,0940 r4760,0800 ?9?10,0690 2940

0,0600 ?6340,0526 96020,0465 21810,0412 96860,0368 2954

0,0329 ?6870,0296 29430,0267 02100,024L 27 630,0218 5221

0,0198 32250,0180 320?o,ot64 22170,0149 7?960,0136 ?878

0,0125 07130,01 14 48100,0104 88910,0096 16540,0088 2743

0,0081 07280,0074 50810,0068 51630,0063 04110,0058 0326

0,0053 446?0,0049 24400,0045 38940,0041 85130,0038 6016

0,0035 61490,0032 86840,0030 34140,0028 01 520,0025 8?28

0,0023 89910,0022 07990,oo20 40270,0018 85570,001? 4286

I

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r lI ' I

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I ! l

ttt

, , l

')"t.

2, t!5

lt ti! ' t:t rl: l$: to

:il

: t3: t4l t5

: t { ;:t ' l: t! l:J1).1{)

, t I,124:14'l.15

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AlIt

lA l l l .A Vl l l V¡k¡r ts dcl factor Vl 'dc un¡ ¡trurl id¿ld {)rdini¡r i¿¡ l) . l r . lNotaciírn estándar: (L/A, t"1,, k)

Notación algebraica:

TABLA IX Valores del factor VP de una anualidad ordinaria para k=LNotaciónestándar: (P/A, i%, k)

Notación algebrcis¿' 7- (7! i) k

p T in s*n tz% rr% i%p

2346

t2

0'4996 8?89 0,4996 8403 0,4994 8025 0,4993 ?656 0'49927295 0'4991 6943

o,ssso oos¿ 0;3329 6365 O3g2A7144 O,sg27 7992 0,3326 8728 0,3926 9632

o',iigl eagl o,z¿gg gglr o,zaso roaz 0,2495 3261 0,2494 5498 0,24s8 1'142

o, ieo¿ gaaz o, teo¿ saee 0,1663 7805 0,1663 2060 0,1662 6301 0,1662 0668

oioesz aeoo o,oaaz oezs o,oasr z¿or 0,0831 429? 0,0831 1136 0'0830 7978

2e

46

L2

p T r% L+% r+% r i?o 2vo

2a46

L2

0,4990 6600 0,¡1987 ó621 0,4984 4?19 0,4981 3893 0,4978 3143 0'4976 24690;aa25 os45 o,agz2 2ag5 0,3319 5401 0,3316 8042 0,3314 0768 0,3311 36480;2492 9994 0,2490 6?98 0,2488 3660 0,2486 0593 o,24aa 7692 0'2481 46680,1661 4821 0,1659 ?644 0,1658 0518 0,16ó6 3445 0,1664 6423 0,1662 9452¡;osgo 4824 0,0829 5981 0,0828 5968 0,0827 6ó86 0,0826 7231 0'0826 7907

2

b

72

p ,T%- s% z!7o 47o 4+co t% p

2346

L2

0,4969 1346 0,4963 0522 0,4956 9993 0,4960 9?57 0,4944 9811 0,4939 01ó3o:sso6 9aó0 o,asoo 5447 0,329ó 1834 0,3289 8ó10 o's284 6470 0'?279 27L40:24?6 8985 0,24729673 0,2467 8417 0,2463 3516 0,2458 8868 0'2464 44690;1649 5662 0,1646 20?3 0,1642 8684 o,L639 5492 0,1636 2496 0,1632 9692o;os2g 994ó 0,0822 0899 0,0820 2668 0,0818 4349 0,0816 6243 0'0814 8248

23

6L2

p f i% 6% olvo 7% 7l7o 87o p

2346

t2

0,4933 o?80 0,492? 1690 0,4921 2880 0,4915 4348 0.4909 6090 0'4903 81060,32740297 0,3268 803? 0,3263 6112 0,32á8 4460 0,3263 3076 0,3248 19600,2450 0317 0,2445 64LO 0,2441 2746 0,2436 9321 0,2432 6135 0,2428 3L840,1629 ?080 0,1626 465? 0,1623 2422 0,1620 0372 0,1.616 8505 0,1613 68210.0813 0362 0,0811 2584 0,0809 4914 0,0807 ?351 0,0805 9892 0,0804 2538

2

6T2

p l% --

I% jn Ic" 3c" íq" p

2346

r2

0,4990 6445 0,498? 5346 0,4984 4291 0,4981 32?8 0,4978 2308 0'4975 13810.3327 ?886 0,3325 9451 0,3324 1o4o 0,3322 2653 0,3320 4289 0'3318 59490.2496 1011 0,24948047 0,2493 5099 0,24922167 0,2490 9251 0'2489 63510,1664 2405 0,1663 433? 0,16626279 0,1661 8230 0,1661 0192 0'1660 21€20,0832 2068 0,0831 8322 0,0831 4580 0,0831 0842 0,0830 ?108 0'0830 3379

2

6t2

p 1% r% r lco r lvo r ivo 29o p

2346

t2

0,49?2 0496 0,4962 8098 0,4953 6080 0,4944 4440 0,4935 31?6 0,4926 22860,3316 ?633 O,33lL 2826 0,3306 8228 0,3300 3841 0,3294 9662 0,3289 56890.2488 3468 0,24a4 49L2 0,2480 6500 0,2476 8230 0,24?3 0101 0'2469 21130,1659 4143 0,1657 0141 0,L664 6225 0,1652 2395 0,1649 8649 0,164? 49870.0829 9654 0.0828 8ó06 0,082? ?395 0,0826 6322 0,0826 6287 0,0824 4290

2

612

p 2+% 3vo g+co 4vo 4 |Vo Solo P

2346

L2

0.4908 1613 0,4890 2406 0,4872 4646 0,4854 8311 0,4837 3386 0'4819 98540.32?8 8360 0,3268 1843 0,925'.1 6129 0,3247 120A 0,3236 70?0 0'3226 37060,2461 6554 0,2454 L646 0,2446 7084 0,2439 3161 0,2431 9710 0,2424 69050.1642 ?915 0,1638 1r?3 0,1633 4?59 0,1628 8668 0, t624 2897 0'16L9 7442o.o8222408 0.0820 06?4 0,081? 9086 0,0815 7643 0,0813 6344 0,0811 5185

2

46

t2

p ñ 6+co lvo l+vo 8vo p

234b

!2

0.4802 7696 0,4?85 6896 0,47687431 0,4751 930r 0,47362474 0,4718 69390.3216 l1o8 0,3205 9265 0,3195 8169 0,3185 7811 0,3175 8183 0,3165 92?60,2417 4661 0,241-0 273L 0,2403 1409 0,2396 0689 0,2389 0266 0,2382 04350.1615 2300 0,1610 ?468 0,1606 2940 0,1601 8715 0,1597 4789 0,1593 11590.0809 416? 0,080? 328? 0,0805 2544 0,0803 1937 0,0801 1463 0.0799 1123

2ó

6t2

E

!l[t MArEMÁlcAsFINANcIERAS

TABLA X Valores del factor A de una anualidad ordinaria para k=+

Notaciónestándar: (NF, i%, k); Qa/P, i%, k) : (NE i%, k) + t

Notación algebraica: - --l=-; ( ------t--= ----l-- * ;)1 l+i¡* - l ' I f - l t+ i ) - ¡ ( t+ i ¡* - ,

' ,

p Vot% |w 3c" --T%

% t,3

o

t2

2,OO29 1243 2,0033 27803,0068 2579 3,0066 56824,0087 3940 4,0099 86166,0145 6684 6,0166 4613

12,0320 4964 12,0366 2269

2,OO).2 4922 2,0016 65283,0024 9861 3.0033 308?4,0037 4805 4,0049 96536,0062 4697 6,0083 2?94

12,0137 4380 12,0183 2232

2,0020 8117 ,2,0024 96883,0041 6282 3,0049 94464,0062 4459 4,0074922L6,0104 0824 6,0124 8?88

12,0228 9946 72,0274 7524

Iil,¡l l

t ,p

2Vorvo LIv" rT% -----

tf i p

23

t2

2,00747208 2,0087 120ó 2,0099 50493,0149 5037 5,OL743255 3,0199 11994,0224302t 4,0261 5ó13 4,029876236,03?3 9144 6,0456 0242 6,0498 0?48

12,08227822 12.0959 4851 12.1096 06?0

2,0037 4300 2,0049 8766 2.0062 30693,0074 875ó 3,0099 7789 3.0124 65494,0772 3249 4,0149 6891 ¿.OrSZ Or¿r6,0L87 2276 6,0249 6163 6,0311 ?452

12,0411 9435 12,0549 0119 12.0685 9580

2sa0

ttp z iv. Bvo st vo P

612

2,0124 2284 2,0148 89163,0248 6282 3.0298 02944,03?3 0?09 4.0447 22896,0621 9992 6.0745 6894

r2,r368 8698 12.1641 1941

2,01?3 4950 2,0198 03903,0347 3244 3,0396 51384,0521 2374 4,0595 09756,0869 1471 6,0992 3740

12,1913 0434 L2,2I84 42Lr

2,0222 6241 2,0246 95083,0446 5985 3,0494 57914,0668 8103 4,074237696,rr15 3716 6,1238 1418

12,245ó 3306 12,2726 7763

2346

L2p a Lq^v 2 ' - 6Vo 6 +% 7% T+q" 8% !

2346

l2

2a

D

L2

2,O27t 3t9S 2,0295 6301 2,0319 88373,0543 4565 3,0592 2313 3,0640 90434,0815 7981 4,0889 0752 4,0962 20916,1360 6860 6,1483 0059 6,1605 1031

L2,2996 7585 t2,3265 2834 12,3534 3533

2,0344 0804 2,036A 22073,0689 4762 3,0737 94774,1035 2009 4,1108 05r46,L726 9791 6,1848 6355

12,3802 9?15 12,407L 1409

2,0392 30483,0786 31964,r180 76186,1970 073?

12,4338 8648

tablas de valores de anualidades

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