Calculate The Due Simple Flat Rate Interest Earned by a Principal of 1,039.00 (Dollar, Euro, Pound, ...), 3.00% Annual Interest Rate, for a Period With The Duration of 3 years, 10 months and 14 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 = 1,039.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 3.00%


t = Duration of the investment, in days
t = 3 years, 10 months and 14 days

t =

+ 3 years × 360 days / year
+ 10 months × 30 days / month
+ 14 days

t = 1,394 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 =


(1,039.00 × 3.00% × 1,394) ÷ 360 =


1,039.00 × 3.00 ÷ 100 × 1,394 ÷ 360 =


(1,039.00 × 3.00 × 1,394) ÷ (360 × 100) =


4,345,098.00 ÷ 36,000 ≈


120.697166666667 ≈


120.70


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

V = P + I =


1,039.00 + 120.70 =


1,159.70


[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 -- -- 1,039.00
1 30 2.60 2.60 1,041.60
2 30 2.60 5.20 1,044.20
3 30 2.60 7.79 1,046.79
4 30 2.60 10.39 1,049.39
5 30 2.60 12.99 1,051.99
6 30 2.60 15.59 1,054.59
7 30 2.60 18.18 1,057.18
8 30 2.60 20.78 1,059.78
9 30 2.60 23.38 1,062.38
10 30 2.60 25.98 1,064.98
11 30 2.60 28.57 1,067.57
12 30 2.60 31.17 1,070.17
13 30 2.60 33.77 1,072.77
14 30 2.60 36.37 1,075.37
15 30 2.60 38.96 1,077.96
16 30 2.60 41.56 1,080.56
17 30 2.60 44.16 1,083.16
18 30 2.60 46.76 1,085.76
19 30 2.60 49.35 1,088.35
20 30 2.60 51.95 1,090.95
21 30 2.60 54.55 1,093.55
22 30 2.60 57.15 1,096.15
23 30 2.60 59.74 1,098.74
24 30 2.60 62.34 1,101.34
25 30 2.60 64.94 1,103.94
26 30 2.60 67.54 1,106.54
27 30 2.60 70.13 1,109.13
28 30 2.60 72.73 1,111.73
29 30 2.60 75.33 1,114.33
30 30 2.60 77.93 1,116.93
31 30 2.60 80.52 1,119.52
32 30 2.60 83.12 1,122.12
33 30 2.60 85.72 1,124.72
34 30 2.60 88.32 1,127.32
35 30 2.60 90.91 1,129.91
36 30 2.60 93.51 1,132.51
37 30 2.60 96.11 1,135.11
38 30 2.60 98.71 1,137.71
39 30 2.60 101.30 1,140.30
40 30 2.60 103.90 1,142.90
41 30 2.60 106.50 1,145.50
42 30 2.60 109.10 1,148.10
43 30 2.60 111.70 1,150.70
44 30 2.60 114.29 1,153.29
45 30 2.60 116.89 1,155.89
46 30 2.60 119.49 1,158.49
47 14 1.21 120.70 1,159.70
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% × 1,159.70 =


3/100 × 1,159.70 =


(3 × 1,159.70)/100 =


3,479.1/100 =


3,479.1 ÷ 100 =


34.791 ≈


34.79


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


120.70 - 34.79 =


85.91

Answer:

Principal (initial amount) = 1,039.00

Amount earned = 1,159.70

Simple interest amount = 120.70


Withdrawal Fee Amount = 34.79

Financial gain = 85.91


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