Calculate The Due Simple Flat Rate Interest Earned by a Principal of 1,190.00 (Dollar, Euro, Pound, ...), 9.00% Annual Interest Rate, for a Period With The Duration of 9 months and 15 days. 0.20% Withdrawal Fee

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 = 1,190.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 9.00%


t = Duration of the investment, in days
t = 9 months and 15 days

t =

+ 9 months × 30 days / month
+ 15 days

t = 285 days



>> Simple Interest: what is it, how is it calculated?


Calculate the simple interest amount

[3] Substitute for the values
in the Simple Interest formula:

I =


(P × r × t) ÷ 360 =


(1,190.00 × 9.00% × 285) ÷ 360 =


1,190.00 × 9.00 ÷ 100 × 285 ÷ 360 =


(1,190.00 × 9.00 × 285) ÷ (360 × 100) =


3,052,350.00 ÷ 36,000 =


84.7875 ≈


84.79


[4] V = Amount earned before deducting the
Withdrawal Fee Amount:

V = P + I =


1,190.00 + 84.79 =


1,274.79


[5] Project Breakdown. Monthly.

The simple interest is evenly distributed
along the months that make up the project

Month Days Interest Total
interest
Balance
0 0 -- -- 1,190.00
1 30 8.93 8.93 1,198.93
2 30 8.93 17.85 1,207.85
3 30 8.93 26.78 1,216.78
4 30 8.93 35.70 1,225.70
5 30 8.93 44.63 1,234.63
6 30 8.93 53.55 1,243.55
7 30 8.93 62.48 1,252.48
8 30 8.93 71.40 1,261.40
9 30 8.93 80.33 1,270.33
10 15 4.46 84.79 1,274.79
Month Days Interest Total
interest
Balance

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% × 1,274.79 =


0.2/100 × 1,274.79 =


(0.2 × 1,274.79)/100 =


254.96/100 =


254.96 ÷ 100 =


2.5496 ≈


2.55


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


84.79 - 2.55 =


82.24

Answer:

Principal (initial amount) = 1,190.00

Amount earned = 1,274.79

Simple interest amount = 84.79


Withdrawal Fee Amount = 2.55

Financial gain = 82.24


More calculations on Simple (Flat Rate) Interest:

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