 Online Calculators

# Simple Interest Calculator A = P(1 + rt)

Simple Interest Calculator
Where: A = P(1 + rt)

A = \$11,937.50

(I = A - P = \$1,937.50)

Equation:
A = P(1 + rt)

Calculation:
First, converting R percent to r a decimal
r = R/100 = 3.875%/100 = 0.03875 per year.

Solving our equation:
A = 10000(1 + (0.03875 × 5)) = 11937.5
A = \$11,937.50

The total amount accrued, principal plus interest, from simple interest on a principal of \$10,000.00 at a rate of 3.875% per year for 5 years is \$11,937.50.

## Calculator Use

This simple interest calculator calculates an accrued amount that includes principal plus interest.  For interest only, use the simple interest calculator.

## 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 I = Prt so A = P + I = P + Prt = 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:

Use this simple interest calculator to find 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)

Cite this content, page or calculator as:

Furey, Edward "Simple Interest Calculator A = P(1 + rt)"; CalculatorSoup, https://www.calculatorsoup.com - Online Calculators