Calculate The Due Simple Flat Rate Interest Earned by a Principal of 1,101.00 (Dollar, Euro, Pound, ...), 9.00% Annual Interest Rate, for a Period With The Duration of 4 years, 1 month and 29 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 = 1,101.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 9.00%


t = Duration of the investment, in days
t = 4 years, 1 month and 29 days

t =

+ 4 years × 360 days / year
+ 1 month × 30 days / month
+ 29 days

t = 1,499 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 =


(1,101.00 × 9.00% × 1,499) ÷ 360 =


1,101.00 × 9.00 ÷ 100 × 1,499 ÷ 360 =


(1,101.00 × 9.00 × 1,499) ÷ (360 × 100) =


14,853,591.00 ÷ 36,000 =


412.59975 ≈


412.60


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

V = P + I =


1,101.00 + 412.60 =


1,513.60


[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 -- -- 1,101.00
1 30 8.26 8.26 1,109.26
2 30 8.26 16.52 1,117.52
3 30 8.26 24.77 1,125.77
4 30 8.26 33.03 1,134.03
5 30 8.26 41.29 1,142.29
6 30 8.26 49.55 1,150.55
7 30 8.26 57.80 1,158.80
8 30 8.26 66.06 1,167.06
9 30 8.26 74.32 1,175.32
10 30 8.26 82.58 1,183.58
11 30 8.26 90.83 1,191.83
12 30 8.26 99.09 1,200.09
13 30 8.26 107.35 1,208.35
14 30 8.26 115.61 1,216.61
15 30 8.26 123.86 1,224.86
16 30 8.26 132.12 1,233.12
17 30 8.26 140.38 1,241.38
18 30 8.26 148.64 1,249.64
19 30 8.26 156.89 1,257.89
20 30 8.26 165.15 1,266.15
21 30 8.26 173.41 1,274.41
22 30 8.26 181.67 1,282.67
23 30 8.26 189.92 1,290.92
24 30 8.26 198.18 1,299.18
25 30 8.26 206.44 1,307.44
26 30 8.26 214.70 1,315.70
27 30 8.26 222.95 1,323.95
28 30 8.26 231.21 1,332.21
29 30 8.26 239.47 1,340.47
30 30 8.26 247.73 1,348.73
31 30 8.26 255.98 1,356.98
32 30 8.26 264.24 1,365.24
33 30 8.26 272.50 1,373.50
34 30 8.26 280.76 1,381.76
35 30 8.26 289.01 1,390.01
36 30 8.26 297.27 1,398.27
37 30 8.26 305.53 1,406.53
38 30 8.26 313.79 1,414.79
39 30 8.26 322.04 1,423.04
40 30 8.26 330.30 1,431.30
41 30 8.26 338.56 1,439.56
42 30 8.26 346.82 1,447.82
43 30 8.26 355.07 1,456.07
44 30 8.26 363.33 1,464.33
45 30 8.26 371.59 1,472.59
46 30 8.26 379.85 1,480.85
47 30 8.26 388.10 1,489.10
48 30 8.26 396.36 1,497.36
49 30 8.26 404.62 1,505.62
50 29 7.98 412.60 1,513.60
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% × 1,513.60 =


0.2/100 × 1,513.60 =


(0.2 × 1,513.60)/100 =


302.72/100 =


302.72 ÷ 100 =


3.0272 ≈


3.03


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


412.60 - 3.03 =


409.57

Answer:

Principal (initial amount) = 1,101.00

Amount earned = 1,513.60

Simple interest amount = 412.60


Withdrawal Fee Amount = 3.03

Financial gain = 409.57


More operations of this kind

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