Simple (Flat Rate) Interest Calculator: Calculate the Investment Duration Period, in Days, of the Initial Starting Amount of Money (the Principal Borrowed, Deposited or Lent), of 18,325 Units (Dollar, Euro, Pound, etc.) To Produce a Sum of Money of 550 Units, if the Annual Simple (Flat) Interest Rate Is 3.5%. Transaction fee is 0.5%

Detailed calculations of the duration of the investment

Notations and variables used:

Principal (initial amount), P = 18,325

Amount produced by the interest, I = 550

Annual simple interest rate, R = 3.5%

Transaction fee rate, F% = 0.5%

Transaction fee amount, F

Number of days in a year, N = 365

Calculate T, the investment duration period, in days, to earn the amount I

The simple (flat rate) interest calculation formula:

I = (P × R × T) ÷ N ⇒


T = (N × I) ÷ (P × R) =

(365 × 550) ÷ (18,325 × 3.5%) =

(365 × 550) ÷ (18,325 × 3.5/100) =

(100 × 365 × 550) ÷ (18,325 × 3.5) =

20,075,000 ÷ 64,137.5 =


312.999415318651 ≈

313

⇒ T = 313 days

Calculate E, the amount earned after adding to the principal the amount produced by the simple (flat rate) interest

E = P + I =

18,325 + 550 =

18,875

Calculate L, the amount left after deducting the transaction fee

F = F% × E ⇒

L = E - F =

E - F% × E =

(1 - F%) × E =

(1 - 0.5%) × 18,875 =

99.5% × 18,875 =


18,780.625 ≈

18,780.63

Calculate Pr, the profit of the investment

Pr = L - P =

18,780.625 - 18,325 =

455.625 ≈

455.63

Used symbols: % percent, ÷ divide, × multiply, = equal, ≈ approximately equal.

Writing numbers: comma ',' used as thousands separator, point '.' used as a decimal mark.

More operations, calculate the duration of the investment:

» Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 16,861 units (Dollar, Euro, Pound, etc.) to produce an amount of 545 units, if the annual simple (flat) interest rate is 3.5%. The transaction fee is 0.5%.

» Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 19,789 units (Dollar, Euro, Pound, etc.) to produce an amount of 555 units, if the annual simple (flat) interest rate is 3.5%. The transaction fee is 0.5%.

Calculator: investment duration for earning a due simple flat rate interest

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

The latest calculated duration periods of the investments

Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 18,325 units (Dollar, Euro, Pound, etc.) to produce an amount of 550 units, if the annual simple (flat) interest rate is 3.5%. The transaction fee is 0.5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 4,754 units (Dollar, Euro, Pound, etc.) to produce an amount of 130 units, if the annual simple (flat) interest rate is 7.5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 3,859 units (Dollar, Euro, Pound, etc.) to produce an amount of 77 units, if the annual simple (flat) interest rate is 7.5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 3,033 units (Dollar, Euro, Pound, etc.) to produce an amount of 72 units, if the annual simple (flat) interest rate is 7.5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 1,030,158 units (Dollar, Euro, Pound, etc.) to produce an amount of 483 units, if the annual simple (flat) interest rate is 5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 4,713 units (Dollar, Euro, Pound, etc.) to produce an amount of 234 units, if the annual simple (flat) interest rate is 7.5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 3,792 units (Dollar, Euro, Pound, etc.) to produce an amount of 75 units, if the annual simple (flat) interest rate is 7.5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 4,422 units (Dollar, Euro, Pound, etc.) to produce an amount of 123 units, if the annual simple (flat) interest rate is 7.5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 5,426 units (Dollar, Euro, Pound, etc.) to produce an amount of 123 units, if the annual simple (flat) interest rate is 7.5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 2,298 units (Dollar, Euro, Pound, etc.) to produce an amount of 31 units, if the annual simple (flat) interest rate is 7.5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 571 units (Dollar, Euro, Pound, etc.) to produce an amount of 25 units, if the annual simple (flat) interest rate is 7%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 6,520 units (Dollar, Euro, Pound, etc.) to produce an amount of 128 units, if the annual simple (flat) interest rate is 7.5%. Apr 19 03:26 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 5,015 units (Dollar, Euro, Pound, etc.) to produce an amount of 147 units, if the annual simple (flat) interest rate is 7.5%. Apr 19 03:26 UTC (GMT)
All the investments duration periods calculated by users


How to calculate duration (period) of a deposit, borrowing or lending, in order to collect or pay a certain simple flat rate interest by the principal (initial starting amount of money), simple flat interest rate and additional transaction fees (withdrawal, payment in advance, etc.).

Annual simple flat rate interest formula:

  • I = P × p% × n

  • I = n years simple flat rate interest charged
  • P = 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 of the duration of a deposit, borrowing or lending, applied to the principal - initial starting amount of money lent, deposited or borrowed - in order to earn a simple flat rate interest:

  • n = I ÷ (P × p%)

Examples of how to calculate the duration of a deposit, borrowing or lending, for earning a due simple flat rate interest:

  • 1) For how many n years a bank account should be open if the initial starting amount of money that has to be lent, deposited or borrowed, the principal, P = 20,000 units produced a simple flat rate interest (collected or paid) D = 3,500 units with an annual simple flat interest rate of p% = 3.5%?
    Answer:
    n = I ÷ (P × p%) = 3,500 ÷ (20,000 × 3.5%) = 3,500 ÷ (20,000 × 3.5/100) = (100 × 3,500) ÷ (20,000 × 3.5) = 350,000 ÷ 70,000 = 35 ÷ 7 = 5 years;
  • 2) For how many n years a bank account should be open if the initial starting amount of money that has to be lent, deposited or borrowed, the principal, P = 5,000 units produced a simple flat rate interest (collected or paid) D = 300 units with an annual simple flat interest rate of p% = 2%?
    Answer:
    n = I ÷ (P × p%) = 300 ÷ (5,000 × 2%) = 300 ÷ (5,000 × 2/100) = (100 × 300) ÷ (5,000 × 2) = 30,000 ÷ 10,000 = 3 years;

Duration (period) of a simple flat interest rate investment formula calculated for a period of n years:

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

Duration (period) of a simple flat interest rate investment formula calculated for a period of m months:

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

Duration (period) of a simple flat interest rate investment formula calculated for a period of d days:

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

More examples on how the duration of a deposit, borrowing or lending for earning a certain simple flat rate interest formula works:

  • 1) Calculate the duration (period), m, in months, of a banking deposit account with an initial starting amount (principal) P = 400 units that would generate a simple flat rate interest I = 6.67 units with a simple flat interest rate p% = 4.5%.
    Answer:
    m = (12 × I) ÷ (P × p%) = (12 × 6.67) ÷ (400 × 4.5%) = (12 × 6.67) ÷ (400 × 4.5/100) = (100 × 12 × 6.67) ÷ (400 × 4.5) = (3 × 6.67) ÷ 4.5 = 5 months;
  • 2) Calculate the duration (period), m, in months, of a banking deposit account with an initial starting amount (principal) P = 400 units that would generate a simple flat rate interest I = 7.5 units with a simple flat interest rate p% = 4.5%.
    Answer:
    m = (12 × I) ÷ (P × p%) = (12 × 7.5) ÷ (400 × 4.5%) = (12 × 7.5) ÷ (400 × 4.5/100) = (100 × 12 × 7.5) ÷ (400 × 4.5) = (3 × 7.5) ÷ 4.5 = 22.5 ÷ 4.5 = 5 months.