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 = 1,010.00 units (Dollar, Euro, Pound, etc.)
r = Annual simple interest rate, r = 9.00%
t = Duration of the investment, in days
t = 1 year, 1 month and 7 days
t =
+ 1 year × 360 days / year
+ 1 month × 30 days / month
+ 7 days
t = 397 days
Calculate the simple interest amount
[3] Substitute for the values
in the Simple Interest formula:
I =
(P × r × t) ÷ 360 =
(1,010.00 × 9.00% × 397) ÷ 360 =
1,010.00 × 9.00 ÷ 100 × 397 ÷ 360 =
(1,010.00 × 9.00 × 397) ÷ (360 × 100) =
3,608,730.00 ÷ 36,000 =
100.2425 ≈
100.24
[4] V = Amount earned before deducting the
Withdrawal Fee Amount:
V = P + I =
1,010.00 + 100.24 =
1,110.24
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 =
0.2% × 1,110.24 =
0.2/100 × 1,110.24 =
(0.2 × 1,110.24)/100 =
222.05/100 =
222.05 ÷ 100 =
2.2205 ≈
2.22
[7] Financial gain, Pr:
Pr = I - Fw
Pr, financial gain
I, simple interest amount
Fw, Withdrawal Fee Amount
Pr =
I - Fw =
100.24 - 2.22 =
98.02
Answer:
Principal (initial amount) = 1,010.00
Amount earned = 1,110.24
Simple interest amount = 100.24
Withdrawal Fee Amount = 2.22
Financial gain = 98.02