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So, for example, use 74 if you’re calculating doubling time for 16 percent interest. How the Rule of 72 works The actual mathematical formula is complex and derives the number of years until ...
In finance, the rule of 72, the rule of 70 [1] and the rule of 69.3 are methods for estimating an investment's doubling time. The rule number (e.g., 72) is divided by the interest percentage per period (usually years) to obtain the approximate number of periods required for doubling.
The notion of doubling time dates to interest on loans in Babylonian mathematics. Clay tablets from circa 2000 BCE include the exercise "Given an interest rate of 1/60 per month (no compounding), come the doubling time." This yields an annual interest rate of 12/60 = 20%, and hence a doubling time of 100% growth/20% growth per year = 5 years.
The growth constant k is the frequency (number of times per unit time) of growing by a factor e; in finance it is also called the logarithmic return, continuously compounded return, or force of interest. The e-folding time τ is the time it takes to grow by a factor e. The doubling time T is the time it takes to double.
Arithmetical doubling of a count or a measure, expressed as: Multiplication by 2; Increase by 100%, i.e. one-hundred percent; Doubling the cube (i. e., hypothetical geometric construction of a cube with twice the volume of a given cube) Doubling time, the length of time required for a quantity to double in size or value
They are not equivalent: generation time in population biology is the average age of parents, whereas doubling time refers to growth of the population. Generation time needs its own page. Trashbird1240 ( talk ) 16:34, 5 January 2012 (UTC) [ reply ]
Pointer jumping or path doubling is a design technique for parallel algorithms that operate on pointer structures, such as linked lists and directed graphs. Pointer jumping allows an algorithm to follow paths with a time complexity that is logarithmic with respect to the length of the longest path.
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