Calculate The Due Simple Flat Rate Interest Earned by a Principal of 744.00 (Dollar, Euro, Pound, ...), 3.00% Annual Interest Rate, for a Period With The Duration of 3 years, 8 months and 11 days. 3.00% 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 = 744.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 3.00%


t = Duration of the investment, in days
t = 3 years, 8 months and 11 days

t =

+ 3 years × 360 days / year
+ 8 months × 30 days / month
+ 11 days

t = 1,331 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 =


(744.00 × 3.00% × 1,331) ÷ 360 =


744.00 × 3.00 ÷ 100 × 1,331 ÷ 360 =


(744.00 × 3.00 × 1,331) ÷ (360 × 100) =


2,970,792.00 ÷ 36,000 =


82.522 ≈


82.52


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

V = P + I =


744.00 + 82.52 =


826.52


[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 -- -- 744.00
1 30 1.86 1.86 745.86
2 30 1.86 3.72 747.72
3 30 1.86 5.58 749.58
4 30 1.86 7.44 751.44
5 30 1.86 9.30 753.30
6 30 1.86 11.16 755.16
7 30 1.86 13.02 757.02
8 30 1.86 14.88 758.88
9 30 1.86 16.74 760.74
10 30 1.86 18.60 762.60
11 30 1.86 20.46 764.46
12 30 1.86 22.32 766.32
13 30 1.86 24.18 768.18
14 30 1.86 26.04 770.04
15 30 1.86 27.90 771.90
16 30 1.86 29.76 773.76
17 30 1.86 31.62 775.62
18 30 1.86 33.48 777.48
19 30 1.86 35.34 779.34
20 30 1.86 37.20 781.20
21 30 1.86 39.06 783.06
22 30 1.86 40.92 784.92
23 30 1.86 42.78 786.78
24 30 1.86 44.64 788.64
25 30 1.86 46.50 790.50
26 30 1.86 48.36 792.36
27 30 1.86 50.22 794.22
28 30 1.86 52.08 796.08
29 30 1.86 53.94 797.94
30 30 1.86 55.80 799.80
31 30 1.86 57.66 801.66
32 30 1.86 59.52 803.52
33 30 1.86 61.38 805.38
34 30 1.86 63.24 807.24
35 30 1.86 65.10 809.10
36 30 1.86 66.96 810.96
37 30 1.86 68.82 812.82
38 30 1.86 70.68 814.68
39 30 1.86 72.54 816.54
40 30 1.86 74.40 818.40
41 30 1.86 76.26 820.26
42 30 1.86 78.12 822.12
43 30 1.86 79.98 823.98
44 30 1.86 81.84 825.84
45 11 0.68 82.52 826.52
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 =


3% × 826.52 =


3/100 × 826.52 =


(3 × 826.52)/100 =


2,479.56/100 =


2,479.56 ÷ 100 =


24.7956 ≈


24.80


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


82.52 - 24.80 =


57.72

Answer:

Principal (initial amount) = 744.00

Amount earned = 826.52

Simple interest amount = 82.52


Withdrawal Fee Amount = 24.80

Financial gain = 57.72


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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