Calculate The Due Simple Flat Rate Interest Earned by a Principal of 889.00 (Dollar, Euro, Pound, ...), 3.00% Annual Interest Rate, for a Period With The Duration of 5 years, 6 months and 26 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 = 889.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 3.00%


t = Duration of the investment, in days
t = 5 years, 6 months and 26 days

t =

+ 5 years × 360 days / year
+ 6 months × 30 days / month
+ 26 days

t = 2,006 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 =


(889.00 × 3.00% × 2,006) ÷ 360 =


889.00 × 3.00 ÷ 100 × 2,006 ÷ 360 =


(889.00 × 3.00 × 2,006) ÷ (360 × 100) =


5,350,002.00 ÷ 36,000 ≈


148.611166666667 ≈


148.61


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

V = P + I =


889.00 + 148.61 =


1,037.61


[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 -- -- 889.00
1 30 2.22 2.22 891.22
2 30 2.22 4.44 893.44
3 30 2.22 6.67 895.67
4 30 2.22 8.89 897.89
5 30 2.22 11.11 900.11
6 30 2.22 13.33 902.33
7 30 2.22 15.56 904.56
8 30 2.22 17.78 906.78
9 30 2.22 20.00 909.00
10 30 2.22 22.22 911.22
11 30 2.22 24.45 913.45
12 30 2.22 26.67 915.67
13 30 2.22 28.89 917.89
14 30 2.22 31.11 920.11
15 30 2.22 33.34 922.34
16 30 2.22 35.56 924.56
17 30 2.22 37.78 926.78
18 30 2.22 40.00 929.00
19 30 2.22 42.23 931.23
20 30 2.22 44.45 933.45
21 30 2.22 46.67 935.67
22 30 2.22 48.89 937.89
23 30 2.22 51.12 940.12
24 30 2.22 53.34 942.34
25 30 2.22 55.56 944.56
26 30 2.22 57.78 946.78
27 30 2.22 60.01 949.01
28 30 2.22 62.23 951.23
29 30 2.22 64.45 953.45
30 30 2.22 66.67 955.67
31 30 2.22 68.90 957.90
32 30 2.22 71.12 960.12
33 30 2.22 73.34 962.34
34 30 2.22 75.56 964.56
35 30 2.22 77.79 966.79
36 30 2.22 80.01 969.01
37 30 2.22 82.23 971.23
38 30 2.22 84.45 973.45
39 30 2.22 86.68 975.68
40 30 2.22 88.90 977.90
41 30 2.22 91.12 980.12
42 30 2.22 93.34 982.34
43 30 2.22 95.57 984.57
44 30 2.22 97.79 986.79
45 30 2.22 100.01 989.01
46 30 2.22 102.23 991.23
47 30 2.22 104.46 993.46
48 30 2.22 106.68 995.68
49 30 2.22 108.90 997.90
50 30 2.22 111.12 1,000.12
51 30 2.22 113.35 1,002.35
52 30 2.22 115.57 1,004.57
53 30 2.22 117.79 1,006.79
54 30 2.22 120.01 1,009.01
55 30 2.22 122.24 1,011.24
56 30 2.22 124.46 1,013.46
57 30 2.22 126.68 1,015.68
58 30 2.22 128.90 1,017.90
59 30 2.22 131.13 1,020.13
60 30 2.22 133.35 1,022.35
61 30 2.22 135.57 1,024.57
62 30 2.22 137.79 1,026.79
63 30 2.22 140.02 1,029.02
64 30 2.22 142.24 1,031.24
65 30 2.22 144.46 1,033.46
66 30 2.22 146.68 1,035.68
67 26 1.93 148.61 1,037.61
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% × 1,037.61 =


3/100 × 1,037.61 =


(3 × 1,037.61)/100 =


3,112.83/100 =


3,112.83 ÷ 100 =


31.1283 ≈


31.13


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


148.61 - 31.13 =


117.48

Answer:

Principal (initial amount) = 889.00

Amount earned = 1,037.61

Simple interest amount = 148.61


Withdrawal Fee Amount = 31.13

Financial gain = 117.48


More calculations on Simple (Flat Rate) Interest:

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