Calculate The Due Simple Flat Rate Interest Earned by a Principal of 974.00 (Dollar, Euro, Pound, ...), 9.00% Annual Interest Rate, for a Period With The Duration of 4 years, 9 months and 21 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 = 974.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 9.00%


t = Duration of the investment, in days
t = 4 years, 9 months and 21 days

t =

+ 4 years × 360 days / year
+ 9 months × 30 days / month
+ 21 days

t = 1,731 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 =


(974.00 × 9.00% × 1,731) ÷ 360 =


974.00 × 9.00 ÷ 100 × 1,731 ÷ 360 =


(974.00 × 9.00 × 1,731) ÷ (360 × 100) =


15,173,946.00 ÷ 36,000 =


421.4985 ≈


421.50


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

V = P + I =


974.00 + 421.50 =


1,395.50


[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 -- -- 974.00
1 30 7.31 7.31 981.31
2 30 7.31 14.61 988.61
3 30 7.31 21.92 995.92
4 30 7.31 29.22 1,003.22
5 30 7.31 36.53 1,010.53
6 30 7.31 43.83 1,017.83
7 30 7.31 51.14 1,025.14
8 30 7.31 58.44 1,032.44
9 30 7.31 65.75 1,039.75
10 30 7.31 73.05 1,047.05
11 30 7.31 80.36 1,054.36
12 30 7.31 87.66 1,061.66
13 30 7.31 94.97 1,068.97
14 30 7.31 102.27 1,076.27
15 30 7.31 109.58 1,083.58
16 30 7.31 116.88 1,090.88
17 30 7.31 124.19 1,098.19
18 30 7.31 131.49 1,105.49
19 30 7.31 138.80 1,112.80
20 30 7.31 146.10 1,120.10
21 30 7.31 153.41 1,127.41
22 30 7.31 160.71 1,134.71
23 30 7.31 168.02 1,142.02
24 30 7.31 175.32 1,149.32
25 30 7.31 182.63 1,156.63
26 30 7.31 189.93 1,163.93
27 30 7.31 197.24 1,171.24
28 30 7.31 204.54 1,178.54
29 30 7.31 211.85 1,185.85
30 30 7.31 219.15 1,193.15
31 30 7.31 226.46 1,200.46
32 30 7.31 233.76 1,207.76
33 30 7.31 241.07 1,215.07
34 30 7.31 248.37 1,222.37
35 30 7.31 255.68 1,229.68
36 30 7.31 262.98 1,236.98
37 30 7.31 270.29 1,244.29
38 30 7.31 277.59 1,251.59
39 30 7.31 284.90 1,258.90
40 30 7.31 292.20 1,266.20
41 30 7.31 299.51 1,273.51
42 30 7.31 306.81 1,280.81
43 30 7.31 314.12 1,288.12
44 30 7.31 321.42 1,295.42
45 30 7.31 328.73 1,302.73
46 30 7.31 336.03 1,310.03
47 30 7.31 343.34 1,317.34
48 30 7.31 350.64 1,324.64
49 30 7.31 357.95 1,331.95
50 30 7.31 365.25 1,339.25
51 30 7.31 372.56 1,346.56
52 30 7.31 379.86 1,353.86
53 30 7.31 387.17 1,361.17
54 30 7.31 394.47 1,368.47
55 30 7.31 401.78 1,375.78
56 30 7.31 409.08 1,383.08
57 30 7.31 416.39 1,390.39
58 21 5.11 421.50 1,395.50
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% × 1,395.50 =


0.2/100 × 1,395.50 =


(0.2 × 1,395.50)/100 =


279.1/100 =


279.1 ÷ 100 =


2.791 ≈


2.79


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


421.50 - 2.79 =


418.71

Answer:

Principal (initial amount) = 974.00

Amount earned = 1,395.50

Simple interest amount = 421.50


Withdrawal Fee Amount = 2.79

Financial gain = 418.71


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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