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Re: The Rule Of 72

From Sегgi о <iinvalid@invalid.com>
Newsgroups sci.math, sci.physics, alt.astronomy
Subject Re: The Rule Of 72
Date 2017-06-19 08:45 -0500
Organization Aioe.org NNTP Server
Message-ID <oi8khs$1v7s$1@gioia.aioe.org> (permalink)
References (16 earlier) <oi5q6q$1oip$1@gioia.aioe.org> <PM0005523BFFEC5FCC@aca43d4d.ipt.aol.com> <oi6hiq$2p5$1@dont-email.me> <oi6jm9$vre$1@gioia.aioe.org> <PM0005524F9D7B2F8F@aca4299c.ipt.aol.com>

Cross-posted to 3 groups.

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On 6/19/2017 7:43 AM, jmfbahciv wrote:
> Sегgi о wrote:
>> On 6/18/2017 1:42 PM, 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.
>>>
>>> Best regards,
>>>                Jack Fearnley

>>>
>>
>>
>>
>> I got this confused with the Rule of 78 used with Loans,
>>
>> http://www.tiac.net/~mabaker/rule_of_78.html
>>
>> it replaced simple interest calculation in the 60's and 70's and
>> it made you pay more for a loan
> 
> I don't remember loans ever being simple interest.
> 
> /BAH
> 

I think it is dependent upon which state you are in, here the "rule of 
78" was discontinued from home loans.  But I think that in other states 
it is still legal.

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Thread

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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