# APR Calculation

### Simple Interest Equation (Principal + Interest)

A = P(1 + rt)
Where:
• A = Total Accrued Amount (principal + interest)
• P = Principal Amount
• I = Interest Amount
• r = Rate of Interest per year in decimal; r = R/100
• R = Rate of Interest per year as a percent; R = r * 100
• t = Time Period involved in months or years
From the base formula, A = P(1 + rt) derived from A = P + I and since I = Prt then A = P + I becomes A = P + Prt which can be rewritten as A = P(1 + rt)
Note that rate r and time t should be in the same time units such as months or years. Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter. 360 days/year have 30 days/month and 90 days/quarter.

### Simple Interest Formulas and Calculations:

A = the Final Investment Value, using the simple interest formula: A = P(1 + rt) where P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods. Where r is in decimal form; r=R/100; r and t are in the same units of time.
The accrued amount of an investment is the original principal P plus the accumulated simple interest, I = Prt, therefore we have:
A = P + I = P + (Prt), and finally A = P(1 + rt)
• Calculate Total Amount Accrued (Principal + Interest), solve for A
A = P(1 + rt)
• Calculate Principal Amount, solve for P
P = A / (1 + rt)
• Calculate rate of interest in decimal, solve for r
r = (1/t)(A/P - 1)
• Calculate rate of interest in percent
R = r * 100
• Calculate time, solve for t
t = (1/r)(A/P - 1)
Example:
If you invest \$1000 worth BNB annually
P = (Principle) = \$1,000
You would Earn.
1st Month = \$1,021.57
2nd Month = \$1,073.18
3rd Month = \$1,181.61
4th Month = \$1,420.39
5th Month = \$1,994.46
6th Month = \$3,606.62
7th Month = \$9,437.22
8th Month = \$39,950.40
9th Month = \$298,292.02
10th Month = \$2,296,848.55
11th Month = \$3,092,899.69
12th Month = \$3,956,773.94
Total APR% = 395,677.121%