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Simple Interest Calculator I = Prt

Simple Interest Calculator
Where: r = I / Pt

Answer:
R = 20.3681%/year

Equation:
r = I / Pt

Calculation:
Putting time into years for simplicity,
4 days ÷ 365 days/year = 0.010959 years,

Solving our equation
r = 0.25 / ( 112 × 0.010959 ) = 0.20368125
r = 0.20368125
converting r decimal to a percentage
R = 0.20368125 * 100 = 20.3681%/year

The interest rate required to
accumulate simple interest of $ 0.25
from a principal of $ 112.00
over 0.010959 years (4 days) is 20.3681% per year.

Calculator Use

Calculate simple interest on the principal only, I = Prt. Simple interest does not include the effect of compounding.

Simple Interest Formula

I = Prt

Where:

  • 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 Periods involved

Notes: Base formula, written as I = Prt or I = P × r × t where 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:

This calculator for simple interest-only finds I, the simple interest 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.

  • Calculate Interest, solve for I
    • I = Prt
  • Calculate Principal Amount, solve for P
    • P = I / rt
  • Calculate rate of interest in decimal, solve for r
    • r = I / Pt
  • Calculate rate of interest in percent
    • R = r * 100
  • Calculate time, solve for t
    • t = I / Pr
 

Cite this content, page or calculator as:

Furey, Edward "Simple Interest Calculator I = Prt" at https://www.calculatorsoup.com/calculators/financial/simple-interest-calculator.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: March 28, 2024

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