Simple Interest: Yearly and Monthly Accumulations Simple interest is the interest calculated on the principal amount (the original amount) over a specific p...
Simple Interest: Yearly and Monthly Accumulations
Simple interest is the interest calculated on the principal amount (the original amount) over a specific period of time. This interest is added to the principal amount to give the total amount after the period.
Yearly Accumulations:
The total amount accumulated yearly is the sum of the simple interest earned each year.
This is calculated by multiplying the interest rate by the principal amount for the number of years in the period.
For example, if the interest rate is 5% per year and the principal amount is 100 = $5.
Monthly Accumulations:
The total amount accumulated monthly is the sum of the simple interest earned each month.
This is calculated by dividing the annual interest rate by 12 (the number of months in a year).
For example, if the annual interest rate is 5% per year and the principal amount is 0.04167.
Example:
Suppose you have an investment that earns 5% per year. If you invest $100 for 10 years, the total amount accumulated yearly would be:
Yearly Amount = Principal Amount x Interest Rate = 5
Total amount after 10 years = Principal Amount + Yearly Amount = 5 = $105
Similarly, the total amount accumulated monthly would be:
Monthly Amount = Principal Amount x Interest Rate / 12 = 0.04167
Therefore, the total amount accumulated yearly and monthly for this investment over the 10-year period would be 0.04167, respectively