Calculate The Due Simple Flat Rate Interest Earned by a Principal of 615.00 (Dollar, Euro, Pound, ...), 3.00% Annual Interest Rate, for a Period With The Duration of 5 years, 10 months and 10 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 = 615.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 3.00%


t = Duration of the investment, in days
t = 5 years, 10 months and 10 days

t =

+ 5 years × 360 days / year
+ 10 months × 30 days / month
+ 10 days

t = 2,110 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 =


(615.00 × 3.00% × 2,110) ÷ 360 =


615.00 × 3.00 ÷ 100 × 2,110 ÷ 360 =


(615.00 × 3.00 × 2,110) ÷ (360 × 100) =


3,892,950.00 ÷ 36,000 =


108.1375 ≈


108.14


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

V = P + I =


615.00 + 108.14 =


723.14


[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 -- -- 615.00
1 30 1.54 1.54 616.54
2 30 1.54 3.08 618.08
3 30 1.54 4.61 619.61
4 30 1.54 6.15 621.15
5 30 1.54 7.69 622.69
6 30 1.54 9.23 624.23
7 30 1.54 10.76 625.76
8 30 1.54 12.30 627.30
9 30 1.54 13.84 628.84
10 30 1.54 15.38 630.38
11 30 1.54 16.91 631.91
12 30 1.54 18.45 633.45
13 30 1.54 19.99 634.99
14 30 1.54 21.53 636.53
15 30 1.54 23.06 638.06
16 30 1.54 24.60 639.60
17 30 1.54 26.14 641.14
18 30 1.54 27.68 642.68
19 30 1.54 29.21 644.21
20 30 1.54 30.75 645.75
21 30 1.54 32.29 647.29
22 30 1.54 33.83 648.83
23 30 1.54 35.36 650.36
24 30 1.54 36.90 651.90
25 30 1.54 38.44 653.44
26 30 1.54 39.98 654.98
27 30 1.54 41.51 656.51
28 30 1.54 43.05 658.05
29 30 1.54 44.59 659.59
30 30 1.54 46.13 661.13
31 30 1.54 47.66 662.66
32 30 1.54 49.20 664.20
33 30 1.54 50.74 665.74
34 30 1.54 52.28 667.28
35 30 1.54 53.81 668.81
36 30 1.54 55.35 670.35
37 30 1.54 56.89 671.89
38 30 1.54 58.43 673.43
39 30 1.54 59.96 674.96
40 30 1.54 61.50 676.50
41 30 1.54 63.04 678.04
42 30 1.54 64.58 679.58
43 30 1.54 66.11 681.11
44 30 1.54 67.65 682.65
45 30 1.54 69.19 684.19
46 30 1.54 70.73 685.73
47 30 1.54 72.26 687.26
48 30 1.54 73.80 688.80
49 30 1.54 75.34 690.34
50 30 1.54 76.88 691.88
51 30 1.54 78.41 693.41
52 30 1.54 79.95 694.95
53 30 1.54 81.49 696.49
54 30 1.54 83.03 698.03
55 30 1.54 84.56 699.56
56 30 1.54 86.10 701.10
57 30 1.54 87.64 702.64
58 30 1.54 89.18 704.18
59 30 1.54 90.71 705.71
60 30 1.54 92.25 707.25
61 30 1.54 93.79 708.79
62 30 1.54 95.33 710.33
63 30 1.54 96.86 711.86
64 30 1.54 98.40 713.40
65 30 1.54 99.94 714.94
66 30 1.54 101.48 716.48
67 30 1.54 103.01 718.01
68 30 1.54 104.55 719.55
69 30 1.54 106.09 721.09
70 30 1.54 107.63 722.63
71 10 0.51 108.14 723.14
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% × 723.14 =


3/100 × 723.14 =


(3 × 723.14)/100 =


2,169.42/100 =


2,169.42 ÷ 100 =


21.6942 ≈


21.69


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


108.14 - 21.69 =


86.45

Answer:

Principal (initial amount) = 615.00

Amount earned = 723.14

Simple interest amount = 108.14


Withdrawal Fee Amount = 21.69

Financial gain = 86.45


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