Calculate The Due Simple Flat Rate Interest Earned by a Principal of 303,581.00 (Dollar, Euro, Pound, ...), 8.00% Annual Interest Rate, for a Period With The Duration of 3 years and 18 days. 1.00% 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 = 303,581.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 8.00%


t = Duration of the investment, in days
t = 3 years and 18 days

t =

+ 3 years × 360 days / year
+ 18 days

t = 1,098 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 =


(303,581.00 × 8.00% × 1,098) ÷ 360 =


303,581.00 × 8.00 ÷ 100 × 1,098 ÷ 360 =


(303,581.00 × 8.00 × 1,098) ÷ (360 × 100) =


2,666,655,504.00 ÷ 36,000 =


74,073.764 ≈


74,073.76


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

V = P + I =


303,581.00 + 74,073.76 =


377,654.76


[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 -- -- 303,581.00
1 30 2,023.87 2,023.87 305,604.87
2 30 2,023.87 4,047.75 307,628.75
3 30 2,023.87 6,071.62 309,652.62
4 30 2,023.87 8,095.49 311,676.49
5 30 2,023.87 10,119.37 313,700.37
6 30 2,023.87 12,143.24 315,724.24
7 30 2,023.87 14,167.11 317,748.11
8 30 2,023.87 16,190.99 319,771.99
9 30 2,023.87 18,214.86 321,795.86
10 30 2,023.87 20,238.73 323,819.73
11 30 2,023.87 22,262.61 325,843.61
12 30 2,023.87 24,286.48 327,867.48
13 30 2,023.87 26,310.35 329,891.35
14 30 2,023.87 28,334.23 331,915.23
15 30 2,023.87 30,358.10 333,939.10
16 30 2,023.87 32,381.97 335,962.97
17 30 2,023.87 34,405.84 337,986.84
18 30 2,023.87 36,429.72 340,010.72
19 30 2,023.87 38,453.59 342,034.59
20 30 2,023.87 40,477.46 344,058.46
21 30 2,023.87 42,501.34 346,082.34
22 30 2,023.87 44,525.21 348,106.21
23 30 2,023.87 46,549.08 350,130.08
24 30 2,023.87 48,572.96 352,153.96
25 30 2,023.87 50,596.83 354,177.83
26 30 2,023.87 52,620.70 356,201.70
27 30 2,023.87 54,644.58 358,225.58
28 30 2,023.87 56,668.45 360,249.45
29 30 2,023.87 58,692.32 362,273.32
30 30 2,023.87 60,716.20 364,297.20
31 30 2,023.87 62,740.07 366,321.07
32 30 2,023.87 64,763.94 368,344.94
33 30 2,023.87 66,787.82 370,368.82
34 30 2,023.87 68,811.69 372,392.69
35 30 2,023.87 70,835.56 374,416.56
36 30 2,023.87 72,859.44 376,440.44
37 18 1,214.32 74,073.76 377,654.76
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 =


1% × 377,654.76 =


1/100 × 377,654.76 =


(1 × 377,654.76)/100 =


377,654.76/100 =


377,654.76 ÷ 100 =


3,776.5476 ≈


3,776.55


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


74,073.76 - 3,776.55 =


70,297.21

Answer:

Principal (initial amount) = 303,581.00

Amount earned = 377,654.76

Simple interest amount = 74,073.76


Withdrawal Fee Amount = 3,776.55

Financial gain = 70,297.21


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