Calculate The Due Simple Flat Rate Interest Earned by a Principal of 833.00 (Dollar, Euro, Pound, ...), 4.00% Annual Interest Rate, for a Period With The Duration of 3 years, 11 months and 25 days. 0.50% 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 = 833.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 4.00%


t = Duration of the investment, in days
t = 3 years, 11 months and 25 days

t =

+ 3 years × 360 days / year
+ 11 months × 30 days / month
+ 25 days

t = 1,435 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 =


(833.00 × 4.00% × 1,435) ÷ 360 =


833.00 × 4.00 ÷ 100 × 1,435 ÷ 360 =


(833.00 × 4.00 × 1,435) ÷ (360 × 100) =


4,781,420.00 ÷ 36,000 ≈


132.817222222222 ≈


132.82


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

V = P + I =


833.00 + 132.82 =


965.82


[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 -- -- 833.00
1 30 2.78 2.78 835.78
2 30 2.78 5.55 838.55
3 30 2.78 8.33 841.33
4 30 2.78 11.11 844.11
5 30 2.78 13.88 846.88
6 30 2.78 16.66 849.66
7 30 2.78 19.44 852.44
8 30 2.78 22.21 855.21
9 30 2.78 24.99 857.99
10 30 2.78 27.77 860.77
11 30 2.78 30.54 863.54
12 30 2.78 33.32 866.32
13 30 2.78 36.10 869.10
14 30 2.78 38.87 871.87
15 30 2.78 41.65 874.65
16 30 2.78 44.43 877.43
17 30 2.78 47.20 880.20
18 30 2.78 49.98 882.98
19 30 2.78 52.76 885.76
20 30 2.78 55.53 888.53
21 30 2.78 58.31 891.31
22 30 2.78 61.09 894.09
23 30 2.78 63.86 896.86
24 30 2.78 66.64 899.64
25 30 2.78 69.42 902.42
26 30 2.78 72.19 905.19
27 30 2.78 74.97 907.97
28 30 2.78 77.75 910.75
29 30 2.78 80.53 913.53
30 30 2.78 83.30 916.30
31 30 2.78 86.08 919.08
32 30 2.78 88.86 921.86
33 30 2.78 91.63 924.63
34 30 2.78 94.41 927.41
35 30 2.78 97.19 930.19
36 30 2.78 99.96 932.96
37 30 2.78 102.74 935.74
38 30 2.78 105.52 938.52
39 30 2.78 108.29 941.29
40 30 2.78 111.07 944.07
41 30 2.78 113.85 946.85
42 30 2.78 116.62 949.62
43 30 2.78 119.40 952.40
44 30 2.78 122.18 955.18
45 30 2.78 124.95 957.95
46 30 2.78 127.73 960.73
47 30 2.78 130.51 963.51
48 25 2.31 132.82 965.82
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 =


0.5% × 965.82 =


0.5/100 × 965.82 =


(0.5 × 965.82)/100 =


482.91/100 =


482.91 ÷ 100 =


4.8291 ≈


4.83


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


132.82 - 4.83 =


127.99

Answer:

Principal (initial amount) = 833.00

Amount earned = 965.82

Simple interest amount = 132.82


Withdrawal Fee Amount = 4.83

Financial gain = 127.99


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