Adapting 'Accurate' TVM routine on HP-15C (and HP-34C) using MISO Technique

[Thomas Klemm]

(01-05-2014 06:24 AM)Paul Dale Wrote:  Sorry no reference.

From Mathematics Written in Sand:

A Penny for your Thoughts.
Enter data:
n := 60*60*24*365 = 31,536,000 sec. per year.
i := 10/n = 0.000 000 317 097 9198 % per sec.
PV := 0
PMT := -0.01 = one cent per sec. to the bank.

Calculators            FV displayed
~~~~~~~~~~~            ~~~~~~~~~~~~
27, 92, 37, 38, 12     331,667.0067
15                     331,667.0070


For instance, recalculating i displays this:

Calculators            press [i] and see ...
~~~~~~~~~~~            ~~~~~~~~~~~~~~~~~~
27, 92, 37, 38         0.000 000 317100
12                     0.000 000 31974
15                     0.000 000 317098


Yield from a Risky Investment.
For an investment of -PV := $ 35,000,000 now,
investors are promised n := 100 equal monthly
installments of an amount PMT yet to be agreed
upon, but between $ 640,000 and $ 1,000,000 ,
plus a final payment at the 100th month of
FV := $ 100,000,000 . How does the yield i ,
reckoned in % per month, vary with PMT ?

    PMT        true i %      i on the HP-15C
 ~~~~~~~~~     ~~~~~~~~~     ~~~~~~~~~~~~~~
$  640,000     2.314053      2.314053
   650,000     2.335758      2.335758
   660,000     2.357528      2.357528
   800,000     2.669065      2.669065
 1,000,000     3.135506      3.135506


Cheers
Thomas