Calculate The Due Simple Flat Rate Interest Earned by a Principal of 944.00 (Dollar, Euro, Pound, ...), 3.00% Annual Interest Rate, for a Period With The Duration of 5 years, 7 months and 5 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 = 944.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 3.00%


t = Duration of the investment, in days
t = 5 years, 7 months and 5 days

t =

+ 5 years × 360 days / year
+ 7 months × 30 days / month
+ 5 days

t = 2,015 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 =


(944.00 × 3.00% × 2,015) ÷ 360 =


944.00 × 3.00 ÷ 100 × 2,015 ÷ 360 =


(944.00 × 3.00 × 2,015) ÷ (360 × 100) =


5,706,480.00 ÷ 36,000 ≈


158.513333333333 ≈


158.51


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

V = P + I =


944.00 + 158.51 =


1,102.51


[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 -- -- 944.00
1 30 2.36 2.36 946.36
2 30 2.36 4.72 948.72
3 30 2.36 7.08 951.08
4 30 2.36 9.44 953.44
5 30 2.36 11.80 955.80
6 30 2.36 14.16 958.16
7 30 2.36 16.52 960.52
8 30 2.36 18.88 962.88
9 30 2.36 21.24 965.24
10 30 2.36 23.60 967.60
11 30 2.36 25.96 969.96
12 30 2.36 28.32 972.32
13 30 2.36 30.68 974.68
14 30 2.36 33.04 977.04
15 30 2.36 35.40 979.40
16 30 2.36 37.76 981.76
17 30 2.36 40.12 984.12
18 30 2.36 42.48 986.48
19 30 2.36 44.84 988.84
20 30 2.36 47.20 991.20
21 30 2.36 49.56 993.56
22 30 2.36 51.92 995.92
23 30 2.36 54.28 998.28
24 30 2.36 56.64 1,000.64
25 30 2.36 59.00 1,003.00
26 30 2.36 61.36 1,005.36
27 30 2.36 63.72 1,007.72
28 30 2.36 66.08 1,010.08
29 30 2.36 68.44 1,012.44
30 30 2.36 70.80 1,014.80
31 30 2.36 73.16 1,017.16
32 30 2.36 75.52 1,019.52
33 30 2.36 77.88 1,021.88
34 30 2.36 80.24 1,024.24
35 30 2.36 82.60 1,026.60
36 30 2.36 84.96 1,028.96
37 30 2.36 87.32 1,031.32
38 30 2.36 89.68 1,033.68
39 30 2.36 92.04 1,036.04
40 30 2.36 94.40 1,038.40
41 30 2.36 96.76 1,040.76
42 30 2.36 99.12 1,043.12
43 30 2.36 101.48 1,045.48
44 30 2.36 103.84 1,047.84
45 30 2.36 106.20 1,050.20
46 30 2.36 108.56 1,052.56
47 30 2.36 110.92 1,054.92
48 30 2.36 113.28 1,057.28
49 30 2.36 115.64 1,059.64
50 30 2.36 118.00 1,062.00
51 30 2.36 120.36 1,064.36
52 30 2.36 122.72 1,066.72
53 30 2.36 125.08 1,069.08
54 30 2.36 127.44 1,071.44
55 30 2.36 129.80 1,073.80
56 30 2.36 132.16 1,076.16
57 30 2.36 134.52 1,078.52
58 30 2.36 136.88 1,080.88
59 30 2.36 139.24 1,083.24
60 30 2.36 141.60 1,085.60
61 30 2.36 143.96 1,087.96
62 30 2.36 146.32 1,090.32
63 30 2.36 148.68 1,092.68
64 30 2.36 151.04 1,095.04
65 30 2.36 153.40 1,097.40
66 30 2.36 155.76 1,099.76
67 30 2.36 158.12 1,102.12
68 5 0.39 158.51 1,102.51
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% × 1,102.51 =


3/100 × 1,102.51 =


(3 × 1,102.51)/100 =


3,307.53/100 =


3,307.53 ÷ 100 =


33.0753 ≈


33.08


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


158.51 - 33.08 =


125.43

Answer:

Principal (initial amount) = 944.00

Amount earned = 1,102.51

Simple interest amount = 158.51


Withdrawal Fee Amount = 33.08

Financial gain = 125.43


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