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In a message dated 10/26/01 10:49:03 AM Pacific Daylight Time,
dali_11@xxxxxxxx writes:
<< Dear Lee,
Like you I got hooked, The reason for me only was probably only to prove
that I can solve. Because I will not have any use for this formula !
The solution I found was:
Floor( 0.5 + 0.5*Sqrt(8.0*An/5.0 - 15.0) )
And here are the derivation:
>>
Hi Jon,
Thanks for sharing your solution. Like you I also cannot see anything I'd
use the formula for. But somehow the 'problem' caused an 'itch' which needed
to be 'scratched'! I didn't get it done myself but then I'm old and don't
run so fast anymore! <G>
I'm satisfied that your result does exactly what the fella who made the
original post wanted to do. Very nice. I still don't agree with Mike
Suesserott on the correctness of his proposed solution. In addition to the
problem I alluded to in my earlier post .... that his formula yielded a value
for n which consistently was too large by 4 contracts at the account values
at which n should increment by one ....... I also found that his formula
increments n roughly half way between the account values at which n SHOULD
increment according to the recursive formula for An as a function of n. So
either I didn't implement his formula properly or he didn't quite get there.
Your formula just spits out a new n where it's 'supposed' to! <G>
Regards,
Lee Scharpen
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