Calculation method used. Calculation formula. Used notations
[1] Calculation method used: 30 / 360
Number of days in a month = 30
Number of days in a year = 360
[2] Simple interest, I
Calculation formula:
I =
(P × r × t) ÷ 360
I = Simple interest amount
360 = Number of days in a year
P = Principal (initial amount)
P = 57,586.00 units (Dollar, Euro, Pound, etc.)
r = Annual simple interest rate, r = 4.00%
t = Duration of the investment, in days
t = 1 year and 14 days
t =
+ 1 year × 360 days / year
+ 14 days
t = 374 days
Calculate the simple interest amount
[3] Substitute for the values
in the Simple Interest formula:
I =
(P × r × t) ÷ 360 =
(57,586.00 × 4.00% × 374) ÷ 360 =
57,586.00 × 4.00 ÷ 100 × 374 ÷ 360 =
(57,586.00 × 4.00 × 374) ÷ (360 × 100) =
86,148,656.00 ÷ 36,000 ≈
2,393.018222222222 ≈
2,393.02
[4] V = Amount earned before deducting the
Withdrawal Fee Amount:
V = P + I =
57,586.00 + 2,393.02 =
59,979.02
Withdrawal Fee Amount, Fw. Financial gain, Pr
[6] The amount charged for withdrawing the money
Fw = Fw% × V
Fw, Withdrawal Fee Amount
Fw%, Commission Fee % (on withdrawal), as a percentage
V, Amount earned, V = P + I
Fw =
Fw% × V =
0.25% × 59,979.02 =
0.25/100 × 59,979.02 =
(0.25 × 59,979.02)/100 =
14,994.76/100 =
14,994.76 ÷ 100 =
149.9476 ≈
149.95
[7] Financial gain, Pr:
Pr = I - Fw
Pr, financial gain
I, simple interest amount
Fw, Withdrawal Fee Amount
Pr =
I - Fw =
2,393.02 - 149.95 =
2,243.07
Answer:
Principal (initial amount) = 57,586.00
Amount earned = 59,979.02
Simple interest amount = 2,393.02
Withdrawal Fee Amount = 149.95
Financial gain = 2,243.07