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 5,202 Units (Dollar, Euro, Pound, etc.) To Produce a Sum of Money of 196 Units, if the Annual Simple (Flat) Interest Rate Is 7.5%

Detailed calculations of the duration of the investment

Notations and variables used:

Principal (initial amount), P = 5,202

Amount produced by the interest, I = 196

Annual simple interest rate, R = 7.5%

Transaction fee rate, F% = 0%

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 × 196) ÷ (5,202 × 7.5%) =

(365 × 196) ÷ (5,202 × 7.5/100) =

(100 × 365 × 196) ÷ (5,202 × 7.5) =

7,154,000 ÷ 39,015 =


183.365372292708 ≈

183.37

⇒ T = 184 days

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

E = P + I =

5,202 + 196 =

5,398

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 5,098 units (Dollar, Euro, Pound, etc.) to produce an amount of 190 units, if the annual simple (flat) interest rate is 7.5%.

» Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 5,306 units (Dollar, Euro, Pound, etc.) to produce an amount of 202 units, if the annual simple (flat) interest rate is 7.5%.

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 5,202 units (Dollar, Euro, Pound, etc.) to produce an amount of 196 units, if the annual simple (flat) interest rate is 7.5%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 182 units (Dollar, Euro, Pound, etc.) to produce an amount of 309 units, if the annual simple (flat) interest rate is 40%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 1,095 units (Dollar, Euro, Pound, etc.) to produce an amount of 181 units, if the annual simple (flat) interest rate is 5%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 121,113 units (Dollar, Euro, Pound, etc.) to produce an amount of 1 units, if the annual simple (flat) interest rate is 7%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 799 units (Dollar, Euro, Pound, etc.) to produce an amount of 117 units, if the annual simple (flat) interest rate is 4.4%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 98,256 units (Dollar, Euro, Pound, etc.) to produce an amount of 182 units, if the annual simple (flat) interest rate is 2%. The transaction fee is 594%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 1,341,053 units (Dollar, Euro, Pound, etc.) to produce an amount of 557 units, if the annual simple (flat) interest rate is 5%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 1,009,635 units (Dollar, Euro, Pound, etc.) to produce an amount of 574 units, if the annual simple (flat) interest rate is 5%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 6,487 units (Dollar, Euro, Pound, etc.) to produce an amount of 683 units, if the annual simple (flat) interest rate is 5%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 964,868 units (Dollar, Euro, Pound, etc.) to produce an amount of 417 units, if the annual simple (flat) interest rate is 5%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 1,196 units (Dollar, Euro, Pound, etc.) to produce an amount of 265 units, if the annual simple (flat) interest rate is 7%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 977 units (Dollar, Euro, Pound, etc.) to produce an amount of 1,184 units, if the annual simple (flat) interest rate is 2%. May 17 15:47 UTC (GMT)
Calculate the investment duration period, in days, of the initial starting amount (the principal borrowed, deposited or lent), of 672,385 units (Dollar, Euro, Pound, etc.) to produce an amount of 388 units, if the annual simple (flat) interest rate is 5%. May 17 15:47 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.