Calculate The Due Simple Flat Rate Interest Earned by a Principal of 1,004.00 (Dollar, Euro, Pound, ...), 3.00% Annual Interest Rate, for a Period With The Duration of 2 years, 6 months and 14 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 = 1,004.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 3.00%


t = Duration of the investment, in days
t = 2 years, 6 months and 14 days

t =

+ 2 years × 360 days / year
+ 6 months × 30 days / month
+ 14 days

t = 914 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 =


(1,004.00 × 3.00% × 914) ÷ 360 =


1,004.00 × 3.00 ÷ 100 × 914 ÷ 360 =


(1,004.00 × 3.00 × 914) ÷ (360 × 100) =


2,752,968.00 ÷ 36,000 ≈


76.471333333333 ≈


76.47


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

V = P + I =


1,004.00 + 76.47 =


1,080.47


[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 -- -- 1,004.00
1 30 2.51 2.51 1,006.51
2 30 2.51 5.02 1,009.02
3 30 2.51 7.53 1,011.53
4 30 2.51 10.04 1,014.04
5 30 2.51 12.55 1,016.55
6 30 2.51 15.06 1,019.06
7 30 2.51 17.57 1,021.57
8 30 2.51 20.08 1,024.08
9 30 2.51 22.59 1,026.59
10 30 2.51 25.10 1,029.10
11 30 2.51 27.61 1,031.61
12 30 2.51 30.12 1,034.12
13 30 2.51 32.63 1,036.63
14 30 2.51 35.14 1,039.14
15 30 2.51 37.65 1,041.65
16 30 2.51 40.16 1,044.16
17 30 2.51 42.67 1,046.67
18 30 2.51 45.18 1,049.18
19 30 2.51 47.69 1,051.69
20 30 2.51 50.20 1,054.20
21 30 2.51 52.71 1,056.71
22 30 2.51 55.22 1,059.22
23 30 2.51 57.73 1,061.73
24 30 2.51 60.24 1,064.24
25 30 2.51 62.75 1,066.75
26 30 2.51 65.26 1,069.26
27 30 2.51 67.77 1,071.77
28 30 2.51 70.28 1,074.28
29 30 2.51 72.79 1,076.79
30 30 2.51 75.30 1,079.30
31 14 1.17 76.47 1,080.47
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% × 1,080.47 =


3/100 × 1,080.47 =


(3 × 1,080.47)/100 =


3,241.41/100 =


3,241.41 ÷ 100 =


32.4141 ≈


32.41


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


76.47 - 32.41 =


44.06

Answer:

Principal (initial amount) = 1,004.00

Amount earned = 1,080.47

Simple interest amount = 76.47


Withdrawal Fee Amount = 32.41

Financial gain = 44.06


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