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Encyclopedia > Rule of 70

The Rule of 70 is a financial term derived to determine the time it takes for the value of money to halve due to a given inflation rate. To gain an estimate of this time, financiers simply take the current inflation rate (approx 3.5%) and divide 70 by that number. Thus, 70/3.5 would give 20. This means that at 3.5% inflation it should take 20 years for the value of a dollar to halve. See also Rule of 72. In economics, the inflation rate is the rate of increase of the average price level (a measure of inflation). ... In finance, the rule of 72 is a simple method of calculating the approximate number of periods over which a quantity will double. ...


The Rule of 70 can be derived using the rule of continual growth. Since inflation is an annual term, the number of compounding periods is equal to the number of years. Rates r are initially in decimal form (3.5%=0.035), causing the need for the 100r. Then

2 = (er)p

implies

pr = ln(2) = 0.7

or

p = 0.7 / r = 70 / (100r).

See also

In mathematics, a quantity that grows exponentially is one that grows at a rate proportional to its size. ...

External links

  • Exponentialist article "The Scales Of 70" (http://members.optusnet.com.au/exponentialist/The_Scales_Of_70.htm), which extends the rule of 70 beyond fixed-rate growth to variable rate compound growth including positive and negative rates.

  Results from FactBites:
 
Rule of 70 - definition of Rule of 70 in Encyclopedia (162 words)
The Rule of 70 is a financial term derived to determine the time it takes for the value of money to halve due to a given inflation rate.
To gain an estimate of this time, financiers simply take the current inflation rate (approx 3.5%) and divide 70 by that number.
The Rule of 70 can be derived using the rule of continual growth.
Supreme Court of Ohio / Ohio Rules of Court / Rules of Superintendence for the Courts of Ohio (19499 words)
By local rule of the court or division, the administrative judge may be relieved of a portion of his or her case or trial duties to manage the calendar and docket of the court or division.
Rule 11(E) requires that the reference in a brief to a particular portion of a videotape recorded transcript of proceedings be to the event, the reel of videotape, and the elapsed time counter reading.
The rule is the counterpart of a provision in Civ.
  More results at FactBites »


 

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