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# APR Calculation

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.

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,

*therefore we have:***I = Prt,**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****= 395,677.121%**

*Total APR%*****

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Last modified 11mo ago