Time Period of Annual Compound Interest given Final Amount Calculator

✖The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually.ⓘ Annual Rate of Compound Interest [r_Annual]			+10% -10%
✖Final Amount of Annual CI is the total amount received or paid back, including the amount invested or borrowed initially, and interest on it for given time period at fixed rate compounded annually.ⓘ Final Amount of Annual CI [A_Annual]			+10% -10%
✖Principal Amount of Annual Compound Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded annually.ⓘ Principal Amount of Annual Compound Interest [P_Annual]			+10% -10%

✖Time period of Annual Compound Interest is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded annually.ⓘ Time Period of Annual Compound Interest given Final Amount [t_Annual]

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Formula

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Time Period of Annual Compound Interest given Final Amount

Formula

`"t"_{"Annual"} = log((1+"r"_{"Annual"}/100),"A"_{"Annual"}/"P"_{"Annual"})`

Example

`"2Year"=log((1+"20"/100),"144"/"100")`

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Time Period of Annual Compound Interest given Final Amount Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period of Annual Compound Interest = log((1+Annual Rate of Compound Interest/100),Final Amount of Annual CI/Principal Amount of Annual Compound Interest)
t_Annual = log((1+r_Annual/100),A_Annual/P_Annual)
This formula uses 1 Functions, 4 Variables

Functions Used

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

Variables Used

Time Period of Annual Compound Interest - (Measured in Year) - Time period of Annual Compound Interest is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded annually.
Annual Rate of Compound Interest - The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually.
Final Amount of Annual CI - Final Amount of Annual CI is the total amount received or paid back, including the amount invested or borrowed initially, and interest on it for given time period at fixed rate compounded annually.
Principal Amount of Annual Compound Interest - Principal Amount of Annual Compound Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded annually.

STEP 1: Convert Input(s) to Base Unit

Annual Rate of Compound Interest: 20 --> No Conversion Required
Final Amount of Annual CI: 144 --> No Conversion Required
Principal Amount of Annual Compound Interest: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_Annual = log((1+r_Annual/100),A_Annual/P_Annual) --> log((1+20/100),144/100)

Evaluating ... ...

t_Annual = 2

STEP 3: Convert Result to Output's Unit

63113904 Second -->2 Year (Check conversion here)

FINAL ANSWER

2 Year <-- Time Period of Annual Compound Interest

(Calculation completed in 00.004 seconds)

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

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< 2 Time Period of Annual Compound Interest Calculators

Time Period of Annual Compound Interest

Go Time Period of Annual Compound Interest = log((1+Annual Rate of Compound Interest/100),Annual Compound Interest/Principal Amount of Annual Compound Interest+1)

Time Period of Annual Compound Interest given Final Amount

Go Time Period of Annual Compound Interest = log((1+Annual Rate of Compound Interest/100),Final Amount of Annual CI/Principal Amount of Annual Compound Interest)

Time Period of Annual Compound Interest given Final Amount 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 Annual Compound Interest given Final Amount?

Time Period of Annual Compound Interest given Final Amount calculator uses Time Period of Annual Compound Interest = log((1+Annual Rate of Compound Interest/100),Final Amount of Annual CI/Principal Amount of Annual Compound Interest) to calculate the Time Period of Annual Compound Interest, The Time Period of Annual Compound Interest given Final Amount formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded annually, and is calculated using the final amount of Compound Interest. Time Period of Annual Compound Interest is denoted by t_Annual symbol.

How to calculate Time Period of Annual Compound Interest given Final Amount using this online calculator? To use this online calculator for Time Period of Annual Compound Interest given Final Amount, enter Annual Rate of Compound Interest (r_Annual), Final Amount of Annual CI (A_Annual) & Principal Amount of Annual Compound Interest (P_Annual) and hit the calculate button. Here is how the Time Period of Annual Compound Interest given Final Amount calculation can be explained with given input values -> 6.3E-8 = log((1+20/100),144/100).

FAQ

What is Time Period of Annual Compound Interest given Final Amount?

The Time Period of Annual Compound Interest given Final Amount formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded annually, and is calculated using the final amount of Compound Interest and is represented as t_Annual = log((1+r_Annual/100),A_Annual/P_Annual) or Time Period of Annual Compound Interest = log((1+Annual Rate of Compound Interest/100),Final Amount of Annual CI/Principal Amount of Annual Compound Interest). The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually, Final Amount of Annual CI is the total amount received or paid back, including the amount invested or borrowed initially, and interest on it for given time period at fixed rate compounded annually & Principal Amount of Annual Compound Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded annually.

How to calculate Time Period of Annual Compound Interest given Final Amount?

The Time Period of Annual Compound Interest given Final Amount formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded annually, and is calculated using the final amount of Compound Interest is calculated using Time Period of Annual Compound Interest = log((1+Annual Rate of Compound Interest/100),Final Amount of Annual CI/Principal Amount of Annual Compound Interest). To calculate Time Period of Annual Compound Interest given Final Amount, you need Annual Rate of Compound Interest (r_Annual), Final Amount of Annual CI (A_Annual) & Principal Amount of Annual Compound Interest (P_Annual). With our tool, you need to enter the respective value for Annual Rate of Compound Interest, Final Amount of Annual CI & Principal Amount of Annual 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 Annual Compound Interest?

In this formula, Time Period of Annual Compound Interest uses Annual Rate of Compound Interest, Final Amount of Annual CI & Principal Amount of Annual Compound Interest. We can use 1 other way(s) to calculate the same, which is/are as follows -

Time Period of Annual Compound Interest = log((1+Annual Rate of Compound Interest/100),Annual Compound Interest/Principal Amount of Annual Compound Interest+1)

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