Calculate The Due Simple Flat Rate Interest Earned by a Principal of 57,586.00 (Dollar, Euro, Pound, ...), 4.00% Annual Interest Rate, for a Period With The Duration of 1 year and 14 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 = 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



>> 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 =


(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


[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 -- -- 57,586.00
1 30 191.95 191.95 57,777.95
2 30 191.95 383.91 57,969.91
3 30 191.95 575.86 58,161.86
4 30 191.95 767.81 58,353.81
5 30 191.95 959.77 58,545.77
6 30 191.95 1,151.72 58,737.72
7 30 191.95 1,343.67 58,929.67
8 30 191.95 1,535.63 59,121.63
9 30 191.95 1,727.58 59,313.58
10 30 191.95 1,919.53 59,505.53
11 30 191.95 2,111.49 59,697.49
12 30 191.95 2,303.44 59,889.44
13 14 89.58 2,393.02 59,979.02
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% × 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


More calculations on Simple (Flat Rate) Interest:

Calculate simple flat rate interest on a principal borrowed, lent

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