Looking for TVM contributions

[Albert Chan]

Here is rate search method comparison, Secant vs Newton

Code:

              SECANT                                  NEWTON
>run ! 1
B,N,P,M,F? 1,40,900,-40,-1000
 4.16666666667       -5.1783387869       4.16666666667       -5.1783387869
 4.70607695697       -.4168082133        4.7524512828        -.0080716937
 4.75329510161       -.0006352866        4.75336718645       -.0000000187
 4.75336717995       -.000000076         4.75336718857        0
 4.75336718857        0                  4.75336718857
 4.75336718857

>run ! 2
B,N,P,M,F? 1,40,900,-400,-1000
 66.6666666667       -66.666666756       66.6666666667       -66.666666756
 77.7777777927       -11.111111044       79.9999999644       -.000000183
 79.9999999982       -.000000014         80.000000001         0
 80.000000001         0                  80.000000001
 80.000000001

>run ! 3
B,N,P,M,F? 0,365*24*60*60,0,-0.01,331667.0067
-3.01507228575E-6     6.2977646195E-3   -3.01507228575E-6     6.2977646195E-3
-1.1162507291E-6      2.4765911094E-3   -1.1099216589E-7      7.022277322E-4
 1.1441952785E-7      3.284869711E-4     3.07577857249E-7     1.52692719E-5
 3.02612985476E-7     2.32387146E-5      3.17093002025E-7     7.8839E-9
 3.16940255029E-7     2.527511E-7        3.17097920006E-7     0
 3.17097796093E-7     1.986E-10          3.17097920006E-7
 3.17097919979E-7     0
 3.17097919979E-7
>res * n                                >res * n
 10.0000000045                           10.0000000053

>run ! 4
B,N,P,M,F? 0,365*24*60,0,-0.01,5527.7829015
-1.80904354932E-4     6.2977549796E-3   -1.80904354932E-4     6.2977549796E-3
-6.6975224722E-5      2.4765920415E-3   -6.659604136E-6       7.022284099E-4
 6.8651170126E-6      3.284878032E-4     1.84546671641E-5     1.52693549E-5
 1.81567718641E-5     2.32388617E-5      1.90255801068E-5     7.8841E-9
 1.90164151578E-5     2.527541E-7        1.90258751938E-5    -6.E-14
 1.90258677529E-5     1.988E-10          1.90258751927E-5
 1.90258751936E-5    -7.E-14
 1.90258751923E-5
>res * n                                >res * n
 10.0000000011                           10.0000000013

>run ! 5
B,N,P,M,F? 0,365*24*60,0,-0.01,5260.382426
-1.90100247286E-4     .005827435363     -1.90100247286E-4     .005827435363
-7.9320556931E-5      2.2391630652E-3   -2.2550930229E-5      6.131837704E-4
-1.01915247867E-5     2.787870632E-4    -1.232943057E-7       1.15811690742E-5
-3.6061488282E-7      1.78257882E-5      3.16928059687E-7     4.4652E-9
 3.10916622228E-7     1.624902E-7        3.17097921452E-7    -8.E-14
 3.17094250469E-7     9.65E-11           3.1709791993E-7
 3.17097921431E-7    -1.E-14
 3.17097921241E-7
>res * 60*n                             >res * 60*n
 10.0000000443                           10.0000000029

>run ! 6
B,N,P,M,F? 0,32,-999999,0,1000000
 0                    .03125             0                    .03125
 .000003125           1.611328125E-8     3.12500161133E-6     0
 3.12500161133E-6     0                  3.12500161133E-6
 3.12500161133E-6

>run ! 7
B,N,P,M,F? 0,360,0,-1000,1000000
-.1                   2306.3389698      -.1                   2306.3389698
 .13063389698         1177.39713526      .313028391463        504.47068744
 .37116682905         327.89051248       .471270710313        62.96905732
 .464007148654        80.61001117        .497374290776        1.51994784
 .49427180422         8.66562343         .49803616688         .0009567
 .49791714914         .27395873          .498036584009        0
 .498036157001        .00097936          .498036584009
 .498036583962        .0000001
 .498036584006        .00000001
 .498036584011       -.000000003
 .49803658401