Calculate The Due Simple Flat Rate Interest Earned by a Principal of 1,010.00 (Dollar, Euro, Pound, ...), 9.00% Annual Interest Rate, for a Period With The Duration of 1 year, 1 month and 7 days. 0.20% 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 = 1,010.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 9.00%


t = Duration of the investment, in days
t = 1 year, 1 month and 7 days

t =

+ 1 year × 360 days / year
+ 1 month × 30 days / month
+ 7 days

t = 397 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 =


(1,010.00 × 9.00% × 397) ÷ 360 =


1,010.00 × 9.00 ÷ 100 × 397 ÷ 360 =


(1,010.00 × 9.00 × 397) ÷ (360 × 100) =


3,608,730.00 ÷ 36,000 =


100.2425 ≈


100.24


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

V = P + I =


1,010.00 + 100.24 =


1,110.24


[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 -- -- 1,010.00
1 30 7.57 7.57 1,017.57
2 30 7.57 15.15 1,025.15
3 30 7.57 22.72 1,032.72
4 30 7.57 30.30 1,040.30
5 30 7.57 37.87 1,047.87
6 30 7.57 45.45 1,055.45
7 30 7.57 53.02 1,063.02
8 30 7.57 60.60 1,070.60
9 30 7.57 68.17 1,078.17
10 30 7.57 75.75 1,085.75
11 30 7.57 83.32 1,093.32
12 30 7.57 90.90 1,100.90
13 30 7.57 98.47 1,108.47
14 7 1.77 100.24 1,110.24
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 =


0.2% × 1,110.24 =


0.2/100 × 1,110.24 =


(0.2 × 1,110.24)/100 =


222.05/100 =


222.05 ÷ 100 =


2.2205 ≈


2.22


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


100.24 - 2.22 =


98.02

Answer:

Principal (initial amount) = 1,010.00

Amount earned = 1,110.24

Simple interest amount = 100.24


Withdrawal Fee Amount = 2.22

Financial gain = 98.02


More operations of this kind

Calculate simple flat rate interest on a principal borrowed, lent

Simple Interest Amount = (Principal × Annual Simple Interest Rate × Duration in days) ÷ Number of days in a year

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