(15C) Accurate TVM for HP15C

01102014, 03:36 AM
(This post was last modified: 01022016 01:46 PM by Jeff_Kearns.)
Post: #1




(15C) Accurate TVM for HP15C
Note: See post #6 for the latest version (now 40 lines in length). I have left previous posts unedited to avoid causing confusion.
This is an adaptation of the Pioneer's (42S/35S/33S/32Sii/32S) Accurate TVM routine for the HP15C using Karl Schneider's technique for invoking SOLVE with the routine written as a MISO (multipleinput, singleoutput) function, using indirect addressing. 001 f LBL E 002 STO(i) 003 RCL 2 004 EEX 005 2 006 ÷ 007 ENTER 008 ENTER 009 1 010 + 011 LN 012 X<>Y 013 LSTx 014 1 015 X≠Y 016  017 ÷ 018 * 019 RCL * 1 020 e^x 021 ENTER 022 RCL * 3 023 X<>Y 024 1 025  026 RCL * 4 027 EEX 028 2 029 RCL ÷ 2 030 RCL + 6 031 * 032 + 033 RCL + 5 034 RTN Usage instructions: 1. Store 4 of the following 5 variables, using appropriate cash flow conventions as follows:
2. Store the register number containing the floating variable to the indirect storage register. 3. f SOLVE E Example from the HP15C Advanced Functions Handbook "Many Pennies (alternatively known as A Penny for Your Thoughts): A corporation retains Susan as a scientific and engineering consultant at a fee of one penny per second for her thoughts, paid every second of every day for a year. Rather than distract her with the sounds of pennies dropping, the corporation proposes to deposit them for her into a bank account in which interest accrues at the rate of 11.25 percent per annum compounded every second. At year's end these pennies will accumulate to a sum total = (payment) X ((1+i/n)^n1)/(i/n) where payment = $0.01 = one penny per second, i = 0.1125 = 11.25 percent per annum interest rate, n = 60 X 60 X 24 X 365 = number of seconds in a year. Using her HP15C, Susan reckons that the total will be $376,877.67. But at year's end the bank account is found to hold $333,783.35 . Is Susan entitled to the $43,094.32 difference?"
The HP15C now gives the correct result: $333,783.35. Thanks to Thomas Klemm for debugging the above routine. Edit: The code has been edited to reflect Thomas' suggested changes below. Jeff Kearns 

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Messages In This Thread 
(15C) Accurate TVM for HP15C  Jeff_Kearns  01102014 03:36 AM
RE: Accurate TVM for HP15C  Thomas Klemm  01102014, 05:31 AM
RE: Accurate TVM for HP15C  Jeff_Kearns  01102014, 05:38 AM
RE: Accurate TVM for HP15C  Dieter  01162014, 09:32 PM
RE: Accurate TVM for HP15C  Jeff_Kearns  01162014, 09:38 PM
RE: Accurate TVM for HP15C  Jeff_Kearns  05252014, 03:03 PM
RE: (15C) Accurate TVM for HP15C  Nick  08272016, 10:07 PM
RE: (15C) Accurate TVM for HP15C  Nick  08272016, 10:34 PM

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