Rule of 69 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Doubling Time = 69/Rate of Interest as Whole Number
DT = 69/i
This formula uses 2 Variables
Variables Used
Doubling Time - Doubling Time is the length of time required to double an investment or money in an interest-bearing account.
Rate of Interest as Whole Number - Rate of Interest as Whole Number is the given interest rate presented as a whole number.
STEP 1: Convert Input(s) to Base Unit
Rate of Interest as Whole Number: 20 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DT = 69/i --> 69/20
Evaluating ... ...
DT = 3.45
STEP 3: Convert Result to Output's Unit
3.45 --> No Conversion Required
FINAL ANSWER
3.45 <-- Doubling Time
(Calculation completed in 00.004 seconds)

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Created by Vishnu K
BMS College of Engineering (BMSCE), Bangalore
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Satyawati College (DU), New Delhi
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Basics of Time Value of Money Calculators

Number of Periods
​ LaTeX ​ Go Number of Periods = ln(Future Value/Present Value)/ln(1+Rate per Period)
Hamada Equation
​ LaTeX ​ Go Leveraged Beta = Unleveraged Beta*(1+(1-Tax Rate)*Debt to Equity (D/E))
Doubling Time
​ LaTeX ​ Go Doubling Time = log10(2)/log10(1+Rate of Return/100)
Doubling Time (Continuous Compounding)
​ LaTeX ​ Go Doubling Time Continuous Compounding = ln(2)/(Rate of Return/100)

Rule of 69 Formula

​LaTeX ​Go
Doubling Time = 69/Rate of Interest as Whole Number
DT = 69/i

What is Rule of 69?

The rule of 69 is a method widely used to calculate how long it will take for the invested amount to get doubled in value. Interpretation: The result gives you an estimate of the number of years it will take for your investment to double at the given rate of return. This can help investors quickly gauge the potential growth of an investment without needing complex calculations.
It's important to note that the rule of 69 provides only an approximation and may not be perfectly accurate, especially for higher growth rates or over longer periods. It's a simplified tool for quick estimation rather than precise calculation.

The rule of 69 is derived from the mathematical constant "e", which is approximately 2.71828. The more accurate version of this rule, known as the "rule of 72", uses the number 72 instead of 69. However, the rule of 69 is often preferred because it provides a slightly more conservative estimate, especially for higher interest rates or growth rates.

How to Calculate Rule of 69?

Rule of 69 calculator uses Doubling Time = 69/Rate of Interest as Whole Number to calculate the Doubling Time, The Rule of 69 formula is defined as a financial concept used to estimate the amount of time it takes for an investment to double in value, given a fixed annual rate of return. Doubling Time is denoted by DT symbol.

How to calculate Rule of 69 using this online calculator? To use this online calculator for Rule of 69, enter Rate of Interest as Whole Number (i) and hit the calculate button. Here is how the Rule of 69 calculation can be explained with given input values -> 3.45 = 69/20.

FAQ

What is Rule of 69?
The Rule of 69 formula is defined as a financial concept used to estimate the amount of time it takes for an investment to double in value, given a fixed annual rate of return and is represented as DT = 69/i or Doubling Time = 69/Rate of Interest as Whole Number. Rate of Interest as Whole Number is the given interest rate presented as a whole number.
How to calculate Rule of 69?
The Rule of 69 formula is defined as a financial concept used to estimate the amount of time it takes for an investment to double in value, given a fixed annual rate of return is calculated using Doubling Time = 69/Rate of Interest as Whole Number. To calculate Rule of 69, you need Rate of Interest as Whole Number (i). With our tool, you need to enter the respective value for Rate of Interest as Whole Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Doubling Time?
In this formula, Doubling Time uses Rate of Interest as Whole Number. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Doubling Time = log10(2)/log10(1+Rate of Return/100)
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