Simple Interest Calculator (Principal + Interest)

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

Principal (P):
$
Rate (R):
  % per year
Time (t):
 

Answer:

A = $ 11,937.50

Equation:
A = P(1 + rt)

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

Simple Interest Equation (Principal + Interest)

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

Current Calculation:
A = P(1 + rt); R = r * 100

Where:

  • A = Total Accrued Amount (principal + interest)
  • P = Principal Amount
  • I = Interest Amount
  • r = Rate of Interest per year in decimal; 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)
    • 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)" From http://www.CalculatorSoup.com - Online Calculator Resource.