Calculate the investment duration period, in days, of the initial starting amount (borrowed, deposited or lent principal), of 888 units (Dollar, Euro, Pound, etc.), in order to produce an interest of 233 units, with an annual simple flat interest rate of 3.5%, if the commission fee (withdrawal or payment) is 0.5%.

Principal (initial amount), P = 888


Due interest, I = 233


Annual simple interest rate, R = 3.5%


Commission fee (withdrawal or payment), F = 0.5%


No. of days in a year, N = 365


T = The investment duration period, in days:

T = (N × I) ÷ (P × R) =


(365 × 233) ÷ (888 × 3.5%) =


(365 × 233) ÷ (888 × 3.5/100) =


(100 × 365 × 233) ÷ (888 × 3.5) =


8,504,500 ÷ 3,108 =


2,736.325611325611 ≈


2,736.33


T = 2,737 days

B = Amount earned before deducting the
commission fee (withdrawal or payment):

B = P + I =


888 + 233 =


1,121

D = Amount earned after deducting the
commission fee (withdrawal or payment):

D = B - F =


B - F% × B =


(1 - F%) × B =


(1 - 0.5%) × 1,121 =


99.5% × 1,121 =


1,115.395 ≈


1,115.4

Pr = Investment profit:

Pr = D - P =


1,115.395 - 888 =


227.395 ≈


227.4

Signs: % percent, ÷ divide, × multiply, = equal, ≈ approximately equal;

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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)

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