Calculate The Due Simple Flat Rate Interest Earned by a Principal of 76,003.00 (Dollar, Euro, Pound, ...), 2.40% Annual Interest Rate, for a Period With The Duration of 5 months and 19 days. 0.25% 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 = 76,003.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 2.40%


t = Duration of the investment, in days
t = 5 months and 19 days

t =

+ 5 months × 30 days / month
+ 19 days

t = 169 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 =


(76,003.00 × 2.40% × 169) ÷ 360 =


76,003.00 × 2.40 ÷ 100 × 169 ÷ 360 =


(76,003.00 × 2.40 × 169) ÷ (360 × 100) =


30,826,816.8 ÷ 36,000 ≈


856.300466666667 ≈


856.30


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

V = P + I =


76,003.00 + 856.30 =


76,859.30


[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 -- -- 76,003.00
1 30 152.01 152.01 76,155.01
2 30 152.01 304.01 76,307.01
3 30 152.01 456.02 76,459.02
4 30 152.01 608.02 76,611.02
5 30 152.01 760.03 76,763.03
6 19 96.27 856.30 76,859.30
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 =


0.25% × 76,859.30 =


0.25/100 × 76,859.30 =


(0.25 × 76,859.30)/100 =


19,214.83/100 =


19,214.83 ÷ 100 =


192.1483 ≈


192.15


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


856.30 - 192.15 =


664.15

Answer:

Principal (initial amount) = 76,003.00

Amount earned = 76,859.30

Simple interest amount = 856.30


Withdrawal Fee Amount = 192.15

Financial gain = 664.15


More calculations on Simple (Flat Rate) Interest:

Calculate simple flat rate interest on a principal borrowed, lent

Simple Interest Amount = (Principal × Annual Simple Interest Rate × Duration in days) ÷ Number of days in a year

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