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| NNTP-Posting-Date | Mon, 19 Jun 2017 22:00:45 -0500 |
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| Date | Mon, 19 Jun 2017 20:01:30 -0700 |
| From | The Starmaker <starmaker@ix.netcom.com> |
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| Subject | Re: The Rule Of 72 |
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Cross-posted to 5 groups.
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The Starmaker wrote: > > jmfbahciv wrote: > > > > Jack Fearnley wrote: > > > On Sun, 18 Jun 2017 13:21:35 +0000, jmfbahciv wrote: > > > > > > > > >>> > > >> But it's a fast way to estimate the time to double the original amount > > >> when the interest or dividends are reinvested. > > >> > > >> IIRC, divide 72 by the percentage. That will give the number of year to > > >> double the original amount. > > >> > > >> /BAH > > > > > > The exact doubling time is log(2)/log(1+r/100). > > > If we expand log in a Taylor series and take only the first term > > > we get the approximate doubling time as 100*log(2)/r. > > > That is 69.315/r. > > > > > > So why don't we use a rule of 69 or a rule of 70? > > > > > > It turns out that, in the range 1% to 10% and rounded to whole years, 72 > > > is more accurate than 69.315. > > > > > > I found this quite surprising. > > > > There are a lot of accounting tricks having to with 9s. I suppose people > > aren't being taught these rules since most accounting is done by computer > > rather than "by hand". ISTM there was a book published which described > > these "9" tricks. I always meant to figure out proofs for them but > > life got in the way :-). When you first encounter these tricks of the > > trade, you think it's magic. > > > > /BAH > > You mean like the value someone came up with the speed of light accounting trick: > > 299,792,458 meters per second > > 299 > > it ends like a 99.9 percent ( how these guys think when they are unsure) > > 299...just short of 300 > > keeping it under the true value of over 300,000,000. > > Then I notice other "9" patterns... > > 299,792,458 > > 792 > > 7+2=9 > > 458 > > 4+5=9 > > 299,792,458 meters per second is an accounting trick, isn't it???? Okay...going a step further on the "9" accounting trick.. How many nines are there in 299,792,458? There are three numbered "9"'s There are 4+5=9 and 7+2=9 2+7=9 So that totals 3 more "9"s Then you have nine digits - 299,792,458 299,792,458 meters per second is an accounting trick, isn't it???? What is the speed of light? 99999999999999999999999998 good thing i'm not good at arithmetic...
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The Rule Of 72 The Starmaker <starmaker@ix.netcom.com> - 2017-06-16 10:27 -0700
Re: The Rule Of 72 Dan Christensen <Dan_Christensen@sympatico.ca> - 2017-06-16 11:05 -0700
Re: The Rule Of 72 William Elliot <marsh@panix.com> - 2017-06-18 00:46 -0700
Re: The Rule Of 72 Sегgi о <iinvalid@invalid.com> - 2017-06-18 07:03 -0500
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-18 13:21 +0000
Re: The Rule Of 72 Jack Fearnley <jack@alcor.concordia.ca> - 2017-06-18 18:42 +0000
Re: The Rule Of 72 Sегgi о <iinvalid@invalid.com> - 2017-06-18 14:18 -0500
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-19 12:43 +0000
Re: The Rule Of 72 Sегgi о <iinvalid@invalid.com> - 2017-06-19 08:45 -0500
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-20 12:12 +0000
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-19 12:43 +0000
Re: The Rule Of 72 The Starmaker <starmaker@ix.netcom.com> - 2017-06-19 10:46 -0700
Re: The Rule Of 72 The Starmaker <starmaker@ix.netcom.com> - 2017-06-19 20:01 -0700
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-20 12:12 +0000
Re: The Rule Of 72 The Starmaker <starmaker@ix.netcom.com> - 2017-06-20 07:28 -0700
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-21 12:54 +0000
Re: The Rule Of 72 The Starmaker <starmaker@ix.netcom.com> - 2017-06-21 12:19 -0700
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-22 12:28 +0000
Re: The Rule Of 72 The Starmaker <starmaker@ix.netcom.com> - 2017-06-22 08:58 -0700
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-23 11:40 +0000
Re: The Rule Of 72 The Starmaker <starmaker@ix.netcom.com> - 2017-06-23 10:11 -0700
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-24 11:40 +0000
Re: The Rule Of 72 The Starmaker <starmaker@ix.netcom.com> - 2017-06-24 09:12 -0700
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-25 13:50 +0000
Re: The Rule Of 72 Jack Fearnley <jack@alcor.concordia.ca> - 2017-06-20 14:54 +0000
Re: The Rule Of 72 jmfbahciv <See.above@aol.com> - 2017-06-21 12:54 +0000
Re: The Rule Of 72 djheydt@kithrup.com (Dorothy J Heydt) - 2017-06-18 14:07 +0000
Re: The Rule Of 72 David Bernier <david250@videotron.ca> - 2017-06-18 12:38 -0400
Re: The Rule Of 72 djheydt@kithrup.com (Dorothy J Heydt) - 2017-06-18 19:27 +0000
Re: The Rule Of 72 "hanson" <hanson@quick.net> - 2017-06-18 16:07 -0700
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