Calculate The Due Simple Flat Rate Interest Earned by a Principal of 49,815.00 (Dollar, Euro, Pound, ...), 2.80% Annual Interest Rate, for a Period With The Duration of 1 year, 11 months and 2 days. 0.10% 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 = 49,815.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 2.80%


t = Duration of the investment, in days
t = 1 year, 11 months and 2 days

t =

+ 1 year × 360 days / year
+ 11 months × 30 days / month
+ 2 days

t = 692 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 =


(49,815.00 × 2.80% × 692) ÷ 360 =


49,815.00 × 2.80 ÷ 100 × 692 ÷ 360 =


(49,815.00 × 2.80 × 692) ÷ (360 × 100) =


96,521,544.00 ÷ 36,000 =


2,681.154 ≈


2,681.15


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

V = P + I =


49,815.00 + 2,681.15 =


52,496.15


[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 -- -- 49,815.00
1 30 116.23 116.23 49,931.23
2 30 116.23 232.47 50,047.47
3 30 116.23 348.70 50,163.70
4 30 116.23 464.94 50,279.94
5 30 116.23 581.17 50,396.17
6 30 116.23 697.41 50,512.41
7 30 116.23 813.64 50,628.64
8 30 116.23 929.88 50,744.88
9 30 116.23 1,046.11 50,861.11
10 30 116.23 1,162.35 50,977.35
11 30 116.23 1,278.58 51,093.58
12 30 116.23 1,394.82 51,209.82
13 30 116.23 1,511.05 51,326.05
14 30 116.23 1,627.29 51,442.29
15 30 116.23 1,743.52 51,558.52
16 30 116.23 1,859.76 51,674.76
17 30 116.23 1,975.99 51,790.99
18 30 116.23 2,092.23 51,907.23
19 30 116.23 2,208.46 52,023.46
20 30 116.23 2,324.70 52,139.70
21 30 116.23 2,440.93 52,255.93
22 30 116.23 2,557.17 52,372.17
23 30 116.23 2,673.40 52,488.40
24 2 7.75 2,681.15 52,496.15
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 =


0.1% × 52,496.15 =


0.1/100 × 52,496.15 =


(0.1 × 52,496.15)/100 =


5,249.62/100 =


5,249.62 ÷ 100 =


52.4962 ≈


52.50


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


2,681.15 - 52.50 =


2,628.65

Answer:

Principal (initial amount) = 49,815.00

Amount earned = 52,496.15

Simple interest amount = 2,681.15


Withdrawal Fee Amount = 52.50

Financial gain = 2,628.65


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