Final Amount of Annual Compound Interest Solution

STEP 0: Pre-Calculation Summary
Formula Used
Final Amount of Annual CI = Principal Amount of Annual Compound Interest*(1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest)
AAnnual = PAnnual*(1+rAnnual/100)^(tAnnual)
This formula uses 4 Variables
Variables Used
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.
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
Principal Amount of Annual Compound Interest: 100 --> 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
AAnnual = PAnnual*(1+rAnnual/100)^(tAnnual) --> 100*(1+20/100)^(2)
Evaluating ... ...
AAnnual = 144
STEP 3: Convert Result to Output's Unit
144 --> No Conversion Required
FINAL ANSWER
144 <-- Final Amount of Annual CI
(Calculation completed in 00.004 seconds)

Credits

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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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The National Institute of Engineering (NIE), Mysuru
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2 Final Amount of Annual Compound Interest Calculators

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)
Final Amount of Annual Compound Interest given Compound Interest
​ Go Final Amount of Annual CI = Principal Amount of Annual Compound Interest+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)

Final Amount of Annual Compound Interest Formula

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

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 Final Amount of Annual Compound Interest?

Final Amount of Annual Compound Interest calculator uses Final Amount of Annual CI = Principal Amount of Annual Compound Interest*(1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest) to calculate the Final Amount of Annual CI, The Final Amount of Annual Compound Interest formula is defined as the total amount received or paid back, including the amount invested or borrowed initially, and interest on it for a given time period at a fixed rate compounded annually. Final Amount of Annual CI is denoted by AAnnual symbol.

How to calculate Final Amount of Annual Compound Interest using this online calculator? To use this online calculator for Final Amount of Annual Compound Interest, enter Principal Amount of Annual Compound Interest (PAnnual), Annual Rate of Compound Interest (rAnnual) & Time Period of Annual Compound Interest (tAnnual) and hit the calculate button. Here is how the Final Amount of Annual Compound Interest calculation can be explained with given input values -> 144 = 100*(1+20/100)^(63113904).

FAQ

What is Final Amount of Annual Compound Interest?
The Final Amount of Annual Compound Interest formula is defined as the total amount received or paid back, including the amount invested or borrowed initially, and interest on it for a given time period at a fixed rate compounded annually and is represented as AAnnual = PAnnual*(1+rAnnual/100)^(tAnnual) or 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 is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time 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 Final Amount of Annual Compound Interest?
The Final Amount of Annual Compound Interest formula is defined as the total amount received or paid back, including the amount invested or borrowed initially, and interest on it for a given time period at a fixed rate compounded annually is calculated using Final Amount of Annual CI = Principal Amount of Annual Compound Interest*(1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest). To calculate Final Amount of Annual Compound Interest, you need Principal Amount of Annual Compound Interest (PAnnual), Annual Rate of Compound Interest (rAnnual) & Time Period of Annual Compound Interest (tAnnual). With our tool, you need to enter the respective value for Principal Amount of 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 Final Amount of Annual CI?
In this formula, Final Amount of Annual CI uses Principal Amount of 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 -
  • Final Amount of Annual CI = Principal Amount of Annual Compound Interest+Annual Compound Interest
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