Annual Rate of Simple Interest Calculator

Formula

The formula to calculate the annual rate of simple interest is:

\[ r_{\text{Annual}} = \frac{100 \cdot SI_{\text{Annual}}}{P_{\text{Annual}} \cdot t_{\text{Annual}}} \]

Where:

\(r_{\text{Annual}}\) is the annual rate of simple interest (%).
\(SI_{\text{Annual}}\) is the simple interest.
\(P_{\text{Annual}}\) is the principal amount.
\(t_{\text{Annual}}\) is the time period in years.

Definition

The annual rate of simple interest is the percent of the simple interest paid over the principal amount for the due period.

Simple interest is the extra amount gained or paid on the principal amount for the time period at a fixed rate of interest.

Principal amount of simple interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time.

Time period of simple interest is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate of interest.

Example Calculation

Let's assume the following values:

Simple Interest = 200
Principal Amount = 1000
Time Period = 2 years

Using the formula:

\[ r_{\text{Annual}} = \frac{100 \cdot 200}{1000 \cdot 2} = 10\% \]

The annual rate of simple interest is 10%.

Conversion Chart

Simple Interest	Principal Amount	Time Period (years)	Annual Rate of Simple Interest (%)
100	1000	1	10.00
100	1000	2	5.00
100	1000	3	3.33
100	1000	4	2.50
100	1000	5	2.00
100	2000	1	5.00
100	2000	2	2.50
100	2000	3	1.67
100	2000	4	1.25
100	2000	5	1.00
100	3000	1	3.33
100	3000	2	1.67
100	3000	3	1.11
100	3000	4	0.83
100	3000	5	0.67
100	4000	1	2.50
100	4000	2	1.25
100	4000	3	0.83
100	4000	4	0.63
100	4000	5	0.50
100	5000	1	2.00
100	5000	2	1.00
100	5000	3	0.67
100	5000	4	0.50
100	5000	5	0.40
200	1000	1	20.00
200	1000	2	10.00
200	1000	3	6.67
200	1000	4	5.00
200	1000	5	4.00
200	2000	1	10.00
200	2000	2	5.00
200	2000	3	3.33
200	2000	4	2.50
200	2000	5	2.00
200	3000	1	6.67
200	3000	2	3.33
200	3000	3	2.22
200	3000	4	1.67
200	3000	5	1.33
200	4000	1	5.00
200	4000	2	2.50
200	4000	3	1.67
200	4000	4	1.25
200	4000	5	1.00
200	5000	1	4.00
200	5000	2	2.00
200	5000	3	1.33
200	5000	4	1.00
200	5000	5	0.80
300	1000	1	30.00
300	1000	2	15.00
300	1000	3	10.00
300	1000	4	7.50
300	1000	5	6.00
300	2000	1	15.00
300	2000	2	7.50
300	2000	3	5.00
300	2000	4	3.75
300	2000	5	3.00
300	3000	1	10.00
300	3000	2	5.00
300	3000	3	3.33
300	3000	4	2.50
300	3000	5	2.00
300	4000	1	7.50
300	4000	2	3.75
300	4000	3	2.50
300	4000	4	1.88
300	4000	5	1.50
300	5000	1	6.00
300	5000	2	3.00
300	5000	3	2.00
300	5000	4	1.50
300	5000	5	1.20
400	1000	1	40.00
400	1000	2	20.00
400	1000	3	13.33
400	1000	4	10.00
400	1000	5	8.00
400	2000	1	20.00
400	2000	2	10.00
400	2000	3	6.67
400	2000	4	5.00
400	2000	5	4.00
400	3000	1	13.33
400	3000	2	6.67
400	3000	3	4.44
400	3000	4	3.33
400	3000	5	2.67
400	4000	1	10.00
400	4000	2	5.00
400	4000	3	3.33
400	4000	4	2.50
400	4000	5	2.00
400	5000	1	8.00
400	5000	2	4.00
400	5000	3	2.67
400	5000	4	2.00
400	5000	5	1.60
500	1000	1	50.00
500	1000	2	25.00
500	1000	3	16.67
500	1000	4	12.50
500	1000	5	10.00
500	2000	1	25.00
500	2000	2	12.50
500	2000	3	8.33
500	2000	4	6.25
500	2000	5	5.00
500	3000	1	16.67
500	3000	2	8.33
500	3000	3	5.56
500	3000	4	4.17
500	3000	5	3.33
500	4000	1	12.50
500	4000	2	6.25
500	4000	3	4.17
500	4000	4	3.13
500	4000	5	2.50
500	5000	1	10.00
500	5000	2	5.00
500	5000	3	3.33
500	5000	4	2.50
500	5000	5	2.00