Calculate The Due Simple Flat Rate Interest Earned by a Principal of 50,482.00 (Dollar, Euro, Pound, ...), 2.80% Annual Interest Rate, for a Period With The Duration of 2 years, 5 months and 16 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 = 50,482.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 2.80%


t = Duration of the investment, in days
t = 2 years, 5 months and 16 days

t =

+ 2 years × 360 days / year
+ 5 months × 30 days / month
+ 16 days

t = 886 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 =


(50,482.00 × 2.80% × 886) ÷ 360 =


50,482.00 × 2.80 ÷ 100 × 886 ÷ 360 =


(50,482.00 × 2.80 × 886) ÷ (360 × 100) =


125,235,745.6 ÷ 36,000 ≈


3,478.770711111111 ≈


3,478.77


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

V = P + I =


50,482.00 + 3,478.77 =


53,960.77


[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 -- -- 50,482.00
1 30 117.79 117.79 50,599.79
2 30 117.79 235.58 50,717.58
3 30 117.79 353.37 50,835.37
4 30 117.79 471.17 50,953.17
5 30 117.79 588.96 51,070.96
6 30 117.79 706.75 51,188.75
7 30 117.79 824.54 51,306.54
8 30 117.79 942.33 51,424.33
9 30 117.79 1,060.12 51,542.12
10 30 117.79 1,177.91 51,659.91
11 30 117.79 1,295.70 51,777.70
12 30 117.79 1,413.50 51,895.50
13 30 117.79 1,531.29 52,013.29
14 30 117.79 1,649.08 52,131.08
15 30 117.79 1,766.87 52,248.87
16 30 117.79 1,884.66 52,366.66
17 30 117.79 2,002.45 52,484.45
18 30 117.79 2,120.24 52,602.24
19 30 117.79 2,238.03 52,720.03
20 30 117.79 2,355.83 52,837.83
21 30 117.79 2,473.62 52,955.62
22 30 117.79 2,591.41 53,073.41
23 30 117.79 2,709.20 53,191.20
24 30 117.79 2,826.99 53,308.99
25 30 117.79 2,944.78 53,426.78
26 30 117.79 3,062.57 53,544.57
27 30 117.79 3,180.37 53,662.37
28 30 117.79 3,298.16 53,780.16
29 30 117.79 3,415.95 53,897.95
30 16 62.82 3,478.77 53,960.77
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% × 53,960.77 =


0.1/100 × 53,960.77 =


(0.1 × 53,960.77)/100 =


5,396.08/100 =


5,396.08 ÷ 100 =


53.9608 ≈


53.96


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


3,478.77 - 53.96 =


3,424.81

Answer:

Principal (initial amount) = 50,482.00

Amount earned = 53,960.77

Simple interest amount = 3,478.77


Withdrawal Fee Amount = 53.96

Financial gain = 3,424.81


More operations of this kind

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