Calculate The Due Simple Flat Rate Interest Earned by a Principal of 1,730.00 (Dollar, Euro, Pound, ...), 2.20% Annual Interest Rate, for a Period With The Duration of 2 years, 11 months and 9 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 = 1,730.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 2.20%


t = Duration of the investment, in days
t = 2 years, 11 months and 9 days

t =

+ 2 years × 360 days / year
+ 11 months × 30 days / month
+ 9 days

t = 1,059 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 =


(1,730.00 × 2.20% × 1,059) ÷ 360 =


1,730.00 × 2.20 ÷ 100 × 1,059 ÷ 360 =


(1,730.00 × 2.20 × 1,059) ÷ (360 × 100) =


4,030,554.00 ÷ 36,000 ≈


111.959833333333 ≈


111.96


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

V = P + I =


1,730.00 + 111.96 =


1,841.96


[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 -- -- 1,730.00
1 30 3.17 3.17 1,733.17
2 30 3.17 6.34 1,736.34
3 30 3.17 9.52 1,739.52
4 30 3.17 12.69 1,742.69
5 30 3.17 15.86 1,745.86
6 30 3.17 19.03 1,749.03
7 30 3.17 22.20 1,752.20
8 30 3.17 25.37 1,755.37
9 30 3.17 28.55 1,758.55
10 30 3.17 31.72 1,761.72
11 30 3.17 34.89 1,764.89
12 30 3.17 38.06 1,768.06
13 30 3.17 41.23 1,771.23
14 30 3.17 44.40 1,774.40
15 30 3.17 47.58 1,777.58
16 30 3.17 50.75 1,780.75
17 30 3.17 53.92 1,783.92
18 30 3.17 57.09 1,787.09
19 30 3.17 60.26 1,790.26
20 30 3.17 63.43 1,793.43
21 30 3.17 66.61 1,796.61
22 30 3.17 69.78 1,799.78
23 30 3.17 72.95 1,802.95
24 30 3.17 76.12 1,806.12
25 30 3.17 79.29 1,809.29
26 30 3.17 82.46 1,812.46
27 30 3.17 85.64 1,815.64
28 30 3.17 88.81 1,818.81
29 30 3.17 91.98 1,821.98
30 30 3.17 95.15 1,825.15
31 30 3.17 98.32 1,828.32
32 30 3.17 101.49 1,831.49
33 30 3.17 104.67 1,834.67
34 30 3.17 107.84 1,837.84
35 30 3.17 111.01 1,841.01
36 9 0.95 111.96 1,841.96
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% × 1,841.96 =


1/100 × 1,841.96 =


(1 × 1,841.96)/100 =


1,841.96/100 =


1,841.96 ÷ 100 =


18.4196 ≈


18.42


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


111.96 - 18.42 =


93.54

Answer:

Principal (initial amount) = 1,730.00

Amount earned = 1,841.96

Simple interest amount = 111.96


Withdrawal Fee Amount = 18.42

Financial gain = 93.54


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