Calculate The Due Simple Flat Rate Interest Earned by a Principal of 864.00 (Dollar, Euro, Pound, ...), 3.00% Annual Interest Rate, for a Period With The Duration of 1 year, 8 months and 16 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 = 864.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 3.00%


t = Duration of the investment, in days
t = 1 year, 8 months and 16 days

t =

+ 1 year × 360 days / year
+ 8 months × 30 days / month
+ 16 days

t = 616 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 =


(864.00 × 3.00% × 616) ÷ 360 =


864.00 × 3.00 ÷ 100 × 616 ÷ 360 =


(864.00 × 3.00 × 616) ÷ (360 × 100) =


1,596,672.00 ÷ 36,000 =


44.352 ≈


44.35


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

V = P + I =


864.00 + 44.35 =


908.35


[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 -- -- 864.00
1 30 2.16 2.16 866.16
2 30 2.16 4.32 868.32
3 30 2.16 6.48 870.48
4 30 2.16 8.64 872.64
5 30 2.16 10.80 874.80
6 30 2.16 12.96 876.96
7 30 2.16 15.12 879.12
8 30 2.16 17.28 881.28
9 30 2.16 19.44 883.44
10 30 2.16 21.60 885.60
11 30 2.16 23.76 887.76
12 30 2.16 25.92 889.92
13 30 2.16 28.08 892.08
14 30 2.16 30.24 894.24
15 30 2.16 32.40 896.40
16 30 2.16 34.56 898.56
17 30 2.16 36.72 900.72
18 30 2.16 38.88 902.88
19 30 2.16 41.04 905.04
20 30 2.16 43.20 907.20
21 16 1.15 44.35 908.35
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% × 908.35 =


3/100 × 908.35 =


(3 × 908.35)/100 =


2,725.05/100 =


2,725.05 ÷ 100 =


27.2505 ≈


27.25


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


44.35 - 27.25 =


17.10

Answer:

Principal (initial amount) = 864.00

Amount earned = 908.35

Simple interest amount = 44.35


Withdrawal Fee Amount = 27.25

Financial gain = 17.10


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