How to calculate compound interest total amount from principal, interest rate and time period?
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I deposited $ into an account with an annual interest rate of %, compounded annually for years...
What will be the total amount including interest?
Type of calculation: Calculating compound interest.
Calculator usage: Since there isn't a dedicated "Compound Interest CALCULATOR" in our list, you should use a scientific or financial calculator, entering the values into the compound interest formula. You can also use a spreadsheet program (e.g., Excel, Google Sheets) and the FV (Future Value) function.
Explanation using a formula:
We are looking for the final amount after 3 years with annual compounding.
General formula for compound interest: A = P * (1 + r/n)^(n*t)
Given:
A = $1000 * (1 + 0.05/1)^(1*3)
A = $1000 * (1 + 0.05)^3
A = $1000 * (1.05)^3
A = $1000 * 1.157625
A = $1157.63
Calculating the interest earned: Interest = A - P = $1157.63 - $1000 = $157.63
Calculator usage: Since there isn't a dedicated "Compound Interest CALCULATOR" in our list, you should use a scientific or financial calculator, entering the values into the compound interest formula. You can also use a spreadsheet program (e.g., Excel, Google Sheets) and the FV (Future Value) function.
Explanation using a formula:
We are looking for the final amount after 3 years with annual compounding.
General formula for compound interest: A = P * (1 + r/n)^(n*t)
- A – future value
- P – principal amount
- r – annual interest rate (as a decimal)
- n – number of times interest is compounded per year
- t – number of years
Given:
- P = $1000
- r = 5% = 0.05
- t = 3 years
- n = 1 (annual compounding)
A = $1000 * (1 + 0.05/1)^(1*3)
A = $1000 * (1 + 0.05)^3
A = $1000 * (1.05)^3
A = $1000 * 1.157625
A = $1157.63
Calculating the interest earned: Interest = A - P = $1157.63 - $1000 = $157.63
Answer: After 3 years, the total amount on the deposit will be $ . The interest earned will be $ .