Principal Amount of Annual Compound Interest Calculator

✖Annual Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded annually.ⓘ Annual Compound Interest [CI_Annual]			+10% -10%
✖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%
✖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 [t_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]

⎘ Copy

👎

Formula

✖

Principal Amount of Annual Compound Interest

Formula

`"P"_{"Annual"} = "CI"_{"Annual"}/((1+"r"_{"Annual"}/100)^("t"_{"Annual"})-1)`

Example

`"100"="44"/((1+"20"/100)^("2Year")-1)`

Calculator

LaTeX

Reset

👍

Download Compound Interest Formula PDF PDF Image

Principal Amount of Annual Compound Interest Solution

STEP 0: Pre-Calculation Summary

Formula Used

Principal Amount of Annual Compound Interest = Annual Compound Interest/((1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest)-1)
P_Annual = CI_Annual/((1+r_Annual/100)^(t_Annual)-1)
This formula uses 4 Variables

Variables Used

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.
Annual Compound Interest - Annual Compound Interest is the extra amount gained/paid on the principal amount for the time period 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.
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.

STEP 1: Convert Input(s) to Base Unit

Annual Compound Interest: 44 --> No Conversion Required
Annual Rate of Compound Interest: 20 --> No Conversion Required
Time Period of Annual Compound Interest: 2 Year --> 2 Year No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_Annual = CI_Annual/((1+r_Annual/100)^(t_Annual)-1) --> 44/((1+20/100)^(2)-1)

Evaluating ... ...

P_Annual = 100

STEP 3: Convert Result to Output's Unit

100 --> No Conversion Required

FINAL ANSWER

100 <-- Principal Amount of Annual Compound Interest

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Arithmetic » Simple Interest and Compound Interest » Compound Interest » Annual Compound Interest » Principal Amount of Annual Compound Interest » Principal Amount of Annual Compound Interest

Credits

Created by Dhruv Walia

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

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has verified this Calculator and 600+ more calculators!

< 2 Principal Amount of Annual Compound Interest Calculators

Principal Amount of Annual Compound Interest

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

Principal Amount of Annual Compound Interest given Final Amount

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

< 5 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)

Annual Rate of Compound Interest

Go Annual Rate of Compound Interest = 100*((Annual Compound Interest/Principal Amount of Annual Compound Interest+1)^(1/Time Period of Annual Compound Interest)-1)

Principal Amount of Annual Compound Interest

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

Annual Compound Interest

Go Annual Compound Interest = Principal Amount of Annual Compound Interest*((1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest)-1)

Final Amount of Annual Compound Interest

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

Principal Amount of Annual 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 Principal Amount of Annual Compound Interest?

Principal Amount of Annual Compound Interest calculator uses Principal Amount of Annual Compound Interest = Annual Compound Interest/((1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest)-1) to calculate the Principal Amount of Annual Compound Interest, The Principal Amount of Annual Compound Interest formula is defined as 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 is denoted by P_Annual symbol.

How to calculate Principal Amount of Annual Compound Interest using this online calculator? To use this online calculator for Principal Amount of Annual Compound Interest, enter Annual Compound Interest (CI_Annual), Annual Rate of Compound Interest (r_Annual) & Time Period of Annual Compound Interest (t_Annual) and hit the calculate button. Here is how the Principal Amount of Annual Compound Interest calculation can be explained with given input values -> 100 = 44/((1+20/100)^(63113904)-1).

FAQ

What is Principal Amount of Annual Compound Interest?

The Principal Amount of Annual Compound Interest formula is defined as the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded annually and is represented as P_Annual = CI_Annual/((1+r_Annual/100)^(t_Annual)-1) or Principal Amount of Annual Compound Interest = Annual Compound Interest/((1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest)-1). Annual Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded annually, The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually & 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.

How to calculate Principal Amount of Annual Compound Interest?

The Principal Amount of Annual Compound Interest formula is defined as the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded annually is calculated using Principal Amount of Annual Compound Interest = Annual Compound Interest/((1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest)-1). To calculate Principal Amount of Annual Compound Interest, you need Annual Compound Interest (CI_Annual), Annual Rate of Compound Interest (r_Annual) & Time Period of Annual Compound Interest (t_Annual). With our tool, you need to enter the respective value for Annual Compound Interest, Annual Rate of Compound Interest & Time Period 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 Principal Amount of Annual Compound Interest?

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

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

Home

FREE PDFs

🔍 Search