(32S) Accurate TVM with direct solutions

[Jeff_Kearns]

Dieter,

You are correct! I failed to modify the code for the Pioneers after correcting the same mistake in my HP-15 code. It now uses using the more accurate e^x-1 formula: 2 * sinh(x / 2) * e ^ (x / 2).

Corrected 43-line code for Accurate TVM in HP-32S / HP-32sii / HP-33s / HP-35S

T001 LBL T
T002 INPUT N
T003 INPUT I
T004 INPUT B
T005 INPUT P
T006 INPUT F
T007 INPUT E
T008 RCL I
T009 100
T010 /
T011 ENTER
T012 ENTER
T013 1
T014 +
T015 LN
T016 x<>y switch x with y
T017 LASTx
T018 1
T019 X<>Y? x not equal to y?
T020 -
T021 /
T022 *
T023 RCLx N
T024 ENTER
T025 e^x
T026 RCLx B
T027 x<>y
T028 2
T029 /
T030 SINH
T031 LASTx
T032 e^x
T033 x
T034 2
T035 x
T036 RCLxP
T037 100
T038 RCL/I
T039 RCL+E
T040 x
T041 +
T042 RCL+F
T043 RTN

It now solves correctly for the VVL (very, very, low ;-) interest rate example you gave.

Regards,

Jeff Kearns

Dieter wrote:
Addendum:
Here is a version that includes both ln(1+x) – using a different method that IHMO performs even better than the original one – as well as an e^x–1 implementation and some slight general improvements.

I missed that post of yours but presume that my program, being one step shorter than yours, is OK.