Calculate the Principal Lent, Deposited or Borrowed That Yields a Certain Sum of Money as Simple Interest

Calculate principal amount to invest to get a certain simple flat rate interest

Principal = (Number of days in a year × Simple flat rate interest) ÷ (Annual simple flat interest rate × Duration in days)

The latest loan or deposit principal amounts calculated to yield certain simple (flat rate) interest amounts

Calculate the principal that yields a simple (flat rate) interest of 5,733.45 units (Dollar, Euro, Pound). Duration period: 11,113 days (365 Months and 3 Days). Annual simple interest rate: 1%. Oct 02 20:32 UTC (GMT)
Calculate the principal that yields a simple (flat rate) interest of 5,181 units (Dollar, Euro, Pound). Duration period: 1,858 days (61 Months). Annual simple interest rate: 15.22%. Oct 02 20:28 UTC (GMT)
Calculate the principal that yields a simple (flat rate) interest of 9,852 units (Dollar, Euro, Pound). Duration period: 7,305 days (240 Months). Annual simple interest rate: 10.13%. Oct 02 20:23 UTC (GMT)
Calculate the principal that yields a simple (flat rate) interest of 113,151 units (Dollar, Euro, Pound). Duration period: 5,114 days (168 Months). Annual simple interest rate: 12%. Oct 02 20:21 UTC (GMT)
Calculate the principal that yields a simple (flat rate) interest of 1,109,321 units (Dollar, Euro, Pound). Duration period: 860 days (28 Months and 8 Days). Annual simple interest rate: 1%. Transaction fee: 0.5%. Oct 02 20:20 UTC (GMT)
Calculate the principal that yields a simple (flat rate) interest of 2,069.4 units (Dollar, Euro, Pound). Duration period: 17,011 days (559 Months without 3 Days). Annual simple interest rate: 1%. Oct 02 20:19 UTC (GMT)
Calculate the principal that yields a simple (flat rate) interest of 4,328 units (Dollar, Euro, Pound). Duration period: 6,000 days (197 Months and 3 Days). Annual simple interest rate: 1%. Oct 02 20:14 UTC (GMT)
Calculate the principal that yields a simple (flat rate) interest of 7,840 units (Dollar, Euro, Pound). Duration period: 364 days (11 Months and 29 Days). Annual simple interest rate: 3%. Oct 02 20:10 UTC (GMT)
Calculate the principal that yields a simple (flat rate) interest of 7,073.6 units (Dollar, Euro, Pound). Duration period: 1,095 days (36 Months). Annual simple interest rate: 3%. Transaction fee: 0.8%. Oct 02 20:10 UTC (GMT)
Calculate the principal that yields a simple (flat rate) interest of 4,901.73 units (Dollar, Euro, Pound). Duration period: 1,305 days (43 Months without 3 Days). Annual simple interest rate: 1%. Oct 02 20:05 UTC (GMT)
» Monthly Tables: Loan or Deposit Principal Amounts Calculated To Yield Certain Simple (Flat Rate) Interest Amounts


How to calculate the principal - initial amount of money lent, deposited or borrowed in order to collect or pay a simple flat rate due interest by the interest rate, duration and additional fees (transaction fee as withdrawal, payment in advance, etc.).

Annual simple flat rate interest calculation formula:

  • I = S × p% × n

  • I = n years simple interest charged
  • S = initial amount (principal)
  • p% = annual simple flat interest rate (percentage of the principal charged as interest)
  • n = number of years of the lending or borrowing the money

  • Formula for the principal - initial amount of money lent, deposited or borrowed in order to produce a simple flat annual rate:

  • S = I ÷ (p% × n)

Examples of how to calculate the initial amount, the principal, to earn a certain simple flat rate interest:

  • 1) What is the principal that has to be lent, deposited or borrowed for a period of n = 5 years if the simple flat rate interest collected or paid D = 3,500 units, for an annual simple flat interest rate (percentage) p% = 3.5%?
    Answer:
    S = I ÷ (p% × n) = 3,500 ÷ (3.5% × 5) = 3,500 ÷ (3.5/100 × 5) = (3,500 × 100) ÷ (3.5 × 5) = 350,000 ÷ 17.5 = 20,000 units
  • 2) What is the principal that has to be lent, deposited or borrowed for a period of n = 3 years if the simple flat rate interest collected or paid D = 300 units, for an annual simple flat interest rate p% = 2%?
    Answer:
    S = I ÷ (p% × n) = 300 ÷ (2% × 3) = 300 ÷ (2/100 × 3) = (300 × 100) ÷ (2 × 3) = 30,000 ÷ 6 = 5,000 units

Annual simple flat rate interest formula calculated for a period of n years:

  • Principal, S = I ÷ (p% × n)
  • Simple interest, I = S × p% × n
  • Simple flat interest rate, p% = I ÷ (S × n)
  • Number of years for the period of the deposit, lending or borrowing, n = I ÷ (S × p%)

The principal formula for earning an annual simple flat rate interest calculated for a period of m months:

  • Principal, S = (12 × I) ÷ (p% × m)
  • Simple interest, I = (S × p% × m) ÷ 12
  • Interest rate, p% = (12 × I) ÷ (S × m)
  • Number of months of the period, m = (12 × I) ÷ (S × p%)

The principal formula for earning an annual simple flat rate interest calculated for a period of d days:

  • Principal, S = (365 × I) ÷ (p% × d)
  • Simple interest, I = (S × p% × d) ÷ 365
  • Simple interest rate, p% = (365 × I) ÷ (S × d)
  • Number of days of the period, d = (365 × I) ÷ (S × p%)

More examples of how to calculate the principal for earning a simple flat rate interest:

  • 1) Calculate the initial amount S that would generate a simple flat rate interest I = 6.67 units in m = 5 months with a simple interest rate of p% = 4%.
    Answer:
    S = (12 × I) ÷ (p% × m) = (12 × 6.67) ÷ (4% × 5) = (12 × 6.67) ÷ (4/100 × 5) = (100 × 12 × 6.67) ÷ (4 × 5) = (100 × 12 × 6.67) ÷ 20 = 5 × 12 × 6.67 = 400.2 ≈ 400 units
  • 2) Calculate the initial amount that would earn a simple flat rate interest I = 7.5 units in m = 5 months with a simple flat interest rate of p% = 4.5%.
    Answer:
    S = (12 × I) ÷ (p% × m) = (12 × 7.5) ÷ (4.5% × 5) = (100 × 12 × 7.5) ÷ (4.5 × 5) = (100 × 12 × 7.5) ÷ 22.5 = 9,000 ÷ 22.5 = 400 units.