Calculate The Due Simple Flat Rate Interest Earned by a Principal of 2,006.00 (Dollar, Euro, Pound, ...), 2.20% Annual Interest Rate, for a Period With The Duration of 4 years, 10 months and 23 days. 1.00% 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 = 2,006.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 2.20%


t = Duration of the investment, in days
t = 4 years, 10 months and 23 days

t =

+ 4 years × 360 days / year
+ 10 months × 30 days / month
+ 23 days

t = 1,763 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 =


(2,006.00 × 2.20% × 1,763) ÷ 360 =


2,006.00 × 2.20 ÷ 100 × 1,763 ÷ 360 =


(2,006.00 × 2.20 × 1,763) ÷ (360 × 100) =


7,780,471.6 ÷ 36,000 ≈


216.124211111111 ≈


216.12


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

V = P + I =


2,006.00 + 216.12 =


2,222.12


[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 -- -- 2,006.00
1 30 3.68 3.68 2,009.68
2 30 3.68 7.36 2,013.36
3 30 3.68 11.03 2,017.03
4 30 3.68 14.71 2,020.71
5 30 3.68 18.39 2,024.39
6 30 3.68 22.07 2,028.07
7 30 3.68 25.74 2,031.74
8 30 3.68 29.42 2,035.42
9 30 3.68 33.10 2,039.10
10 30 3.68 36.78 2,042.78
11 30 3.68 40.45 2,046.45
12 30 3.68 44.13 2,050.13
13 30 3.68 47.81 2,053.81
14 30 3.68 51.49 2,057.49
15 30 3.68 55.16 2,061.16
16 30 3.68 58.84 2,064.84
17 30 3.68 62.52 2,068.52
18 30 3.68 66.20 2,072.20
19 30 3.68 69.87 2,075.87
20 30 3.68 73.55 2,079.55
21 30 3.68 77.23 2,083.23
22 30 3.68 80.91 2,086.91
23 30 3.68 84.58 2,090.58
24 30 3.68 88.26 2,094.26
25 30 3.68 91.94 2,097.94
26 30 3.68 95.62 2,101.62
27 30 3.68 99.30 2,105.30
28 30 3.68 102.97 2,108.97
29 30 3.68 106.65 2,112.65
30 30 3.68 110.33 2,116.33
31 30 3.68 114.01 2,120.01
32 30 3.68 117.68 2,123.68
33 30 3.68 121.36 2,127.36
34 30 3.68 125.04 2,131.04
35 30 3.68 128.72 2,134.72
36 30 3.68 132.39 2,138.39
37 30 3.68 136.07 2,142.07
38 30 3.68 139.75 2,145.75
39 30 3.68 143.43 2,149.43
40 30 3.68 147.10 2,153.10
41 30 3.68 150.78 2,156.78
42 30 3.68 154.46 2,160.46
43 30 3.68 158.14 2,164.14
44 30 3.68 161.81 2,167.81
45 30 3.68 165.49 2,171.49
46 30 3.68 169.17 2,175.17
47 30 3.68 172.85 2,178.85
48 30 3.68 176.52 2,182.52
49 30 3.68 180.20 2,186.20
50 30 3.68 183.88 2,189.88
51 30 3.68 187.56 2,193.56
52 30 3.68 191.23 2,197.23
53 30 3.68 194.91 2,200.91
54 30 3.68 198.59 2,204.59
55 30 3.68 202.27 2,208.27
56 30 3.68 205.95 2,211.95
57 30 3.68 209.62 2,215.62
58 30 3.68 213.30 2,219.30
59 23 2.82 216.12 2,222.12
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 =


1% × 2,222.12 =


1/100 × 2,222.12 =


(1 × 2,222.12)/100 =


2,222.12/100 =


2,222.12 ÷ 100 =


22.2212 ≈


22.22


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


216.12 - 22.22 =


193.90

Answer:

Principal (initial amount) = 2,006.00

Amount earned = 2,222.12

Simple interest amount = 216.12


Withdrawal Fee Amount = 22.22

Financial gain = 193.90


More operations of this kind

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