Time Period of Compound Interest Calculator

✖The No. of Times Interest Compounded Per Year is the number of times the interest is combined with the initial amount invested, borrowed, or lent per year.ⓘ No. of Times Interest Compounded Per Year [n]			+10% -10%
✖The Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period per year compounded n-times a year.ⓘ Rate of Compound Interest [r]			+10% -10%
✖Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded n-times a year.ⓘ Compound Interest [CI]			+10% -10%
✖Principal Amount of Compound Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded n-times a year.ⓘ Principal Amount of Compound Interest [P]			+10% -10%

✖Time Period of Compound Interest is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded n-times a year.ⓘ Time Period of Compound Interest [t]

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Formula

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Time Period of Compound Interest

Formula

`"t" = 1/"n"*log((1+"r"/("n"*100)),"CI"/"P"+1)`

Example

`"3.004256Year"=1/"4"*log((1+"5"/("4"*100)),"161"/"1000"+1)`

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Time Period of Compound Interest Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Compound Interest/Principal Amount of Compound Interest+1)
t = 1/n*log((1+r/(n*100)),CI/P+1)
This formula uses 1 Functions, 5 Variables

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Time Period of Compound Interest - (Measured in Year) - Time Period of Compound Interest is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded n-times a year.
No. of Times Interest Compounded Per Year - The No. of Times Interest Compounded Per Year is the number of times the interest is combined with the initial amount invested, borrowed, or lent per year.
Rate of Compound Interest - The Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period per year compounded n-times a year.
Compound Interest - Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded n-times a year.
Principal Amount of Compound Interest - Principal Amount of Compound Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded n-times a year.

STEP 1: Convert Input(s) to Base Unit

No. of Times Interest Compounded Per Year: 4 --> No Conversion Required
Rate of Compound Interest: 5 --> No Conversion Required
Compound Interest: 161 --> No Conversion Required
Principal Amount of Compound Interest: 1000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = 1/n*log((1+r/(n*100)),CI/P+1) --> 1/4*log((1+5/(4*100)),161/1000+1)

Evaluating ... ...

t = 3.00425563277607

STEP 3: Convert Result to Output's Unit

94805150.7992442 Second -->3.00425563277607 Year (Check conversion here)

FINAL ANSWER

3.00425563277607 ≈ 3.004256 Year <-- Time Period of Compound Interest

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 2 Time Period of Compound Interest Calculators

Time Period of Compound Interest

Go Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Compound Interest/Principal Amount of Compound Interest+1)

Time Period of Compound Interest given Final Amount

Go Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Final Amount of CI/Principal Amount of Compound Interest)

< 5 Compound Interest Calculators

Time Period of Compound Interest

Rate of Compound Interest

Go Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Compound Interest/Principal Amount of Compound Interest+1)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1)

Principal Amount of Compound Interest

Go Principal Amount of Compound Interest = Compound Interest/((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100))^(No. of Times Interest Compounded Per Year*Time Period of Compound Interest)-1)

Compound Interest Formula

Go Compound Interest = Principal Amount of Compound Interest*((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100))^(No. of Times Interest Compounded Per Year*Time Period of Compound Interest)-1)

Final Amount of Compound Interest

Go Final Amount of CI = Principal Amount of Compound Interest*(1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100))^(No. of Times Interest Compounded Per Year*Time Period of Compound Interest)

Time Period of Compound Interest Formula

What is Compound Interest?

Compound Interest is the interest calculated on the principal and the interest accumulated over the previous period. The Compound Interest for an amount depends on both principal and interest gained over periods. Compound Interest varies with each year for the same principal amount. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

How to Calculate Time Period of Compound Interest?

Time Period of Compound Interest calculator uses Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Compound Interest/Principal Amount of Compound Interest+1) to calculate the Time Period of Compound Interest, The Time Period of Compound Interest formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded n-times a year. Time Period of Compound Interest is denoted by t symbol.

How to calculate Time Period of Compound Interest using this online calculator? To use this online calculator for Time Period of Compound Interest, enter No. of Times Interest Compounded Per Year (n), Rate of Compound Interest (r), Compound Interest (CI) & Principal Amount of Compound Interest (P) and hit the calculate button. Here is how the Time Period of Compound Interest calculation can be explained with given input values -> 9.5E-8 = 1/4*log((1+5/(4*100)),161/1000+1).

FAQ

What is Time Period of Compound Interest?

The Time Period of Compound Interest formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded n-times a year and is represented as t = 1/n*log((1+r/(n*100)),CI/P+1) or Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Compound Interest/Principal Amount of Compound Interest+1). The No. of Times Interest Compounded Per Year is the number of times the interest is combined with the initial amount invested, borrowed, or lent per year, The Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period per year compounded n-times a year, Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded n-times a year & Principal Amount of Compound Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded n-times a year.

How to calculate Time Period of Compound Interest?

The Time Period of Compound Interest formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded n-times a year is calculated using Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Compound Interest/Principal Amount of Compound Interest+1). To calculate Time Period of Compound Interest, you need No. of Times Interest Compounded Per Year (n), Rate of Compound Interest (r), Compound Interest (CI) & Principal Amount of Compound Interest (P). With our tool, you need to enter the respective value for No. of Times Interest Compounded Per Year, Rate of Compound Interest, Compound Interest & Principal Amount of Compound Interest 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 Time Period of Compound Interest?

In this formula, Time Period of Compound Interest uses No. of Times Interest Compounded Per Year, Rate of Compound Interest, Compound Interest & Principal Amount of Compound Interest. We can use 1 other way(s) to calculate the same, which is/are as follows -

Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Final Amount of CI/Principal Amount of Compound Interest)

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