Calculate The Due Simple Flat Rate Interest Earned by a Principal of 525.00 (Dollar, Euro, Pound, ...), 3.00% Annual Interest Rate, for a Period With The Duration of 5 years, 10 months and 10 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 = 525.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 3.00%


t = Duration of the investment, in days
t = 5 years, 10 months and 10 days

t =

+ 5 years × 360 days / year
+ 10 months × 30 days / month
+ 10 days

t = 2,110 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 =


(525.00 × 3.00% × 2,110) ÷ 360 =


525.00 × 3.00 ÷ 100 × 2,110 ÷ 360 =


(525.00 × 3.00 × 2,110) ÷ (360 × 100) =


3,323,250.00 ÷ 36,000 =


92.3125 ≈


92.31


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

V = P + I =


525.00 + 92.31 =


617.31


[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 -- -- 525.00
1 30 1.31 1.31 526.31
2 30 1.31 2.62 527.62
3 30 1.31 3.94 528.94
4 30 1.31 5.25 530.25
5 30 1.31 6.56 531.56
6 30 1.31 7.87 532.87
7 30 1.31 9.19 534.19
8 30 1.31 10.50 535.50
9 30 1.31 11.81 536.81
10 30 1.31 13.12 538.12
11 30 1.31 14.44 539.44
12 30 1.31 15.75 540.75
13 30 1.31 17.06 542.06
14 30 1.31 18.37 543.37
15 30 1.31 19.69 544.69
16 30 1.31 21.00 546.00
17 30 1.31 22.31 547.31
18 30 1.31 23.62 548.62
19 30 1.31 24.94 549.94
20 30 1.31 26.25 551.25
21 30 1.31 27.56 552.56
22 30 1.31 28.87 553.87
23 30 1.31 30.19 555.19
24 30 1.31 31.50 556.50
25 30 1.31 32.81 557.81
26 30 1.31 34.12 559.12
27 30 1.31 35.44 560.44
28 30 1.31 36.75 561.75
29 30 1.31 38.06 563.06
30 30 1.31 39.37 564.37
31 30 1.31 40.69 565.69
32 30 1.31 42.00 567.00
33 30 1.31 43.31 568.31
34 30 1.31 44.62 569.62
35 30 1.31 45.94 570.94
36 30 1.31 47.25 572.25
37 30 1.31 48.56 573.56
38 30 1.31 49.87 574.87
39 30 1.31 51.19 576.19
40 30 1.31 52.50 577.50
41 30 1.31 53.81 578.81
42 30 1.31 55.12 580.12
43 30 1.31 56.44 581.44
44 30 1.31 57.75 582.75
45 30 1.31 59.06 584.06
46 30 1.31 60.37 585.37
47 30 1.31 61.69 586.69
48 30 1.31 63.00 588.00
49 30 1.31 64.31 589.31
50 30 1.31 65.62 590.62
51 30 1.31 66.94 591.94
52 30 1.31 68.25 593.25
53 30 1.31 69.56 594.56
54 30 1.31 70.87 595.87
55 30 1.31 72.19 597.19
56 30 1.31 73.50 598.50
57 30 1.31 74.81 599.81
58 30 1.31 76.12 601.12
59 30 1.31 77.44 602.44
60 30 1.31 78.75 603.75
61 30 1.31 80.06 605.06
62 30 1.31 81.37 606.37
63 30 1.31 82.69 607.69
64 30 1.31 84.00 609.00
65 30 1.31 85.31 610.31
66 30 1.31 86.62 611.62
67 30 1.31 87.94 612.94
68 30 1.31 89.25 614.25
69 30 1.31 90.56 615.56
70 30 1.31 91.87 616.87
71 10 0.44 92.31 617.31
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% × 617.31 =


3/100 × 617.31 =


(3 × 617.31)/100 =


1,851.93/100 =


1,851.93 ÷ 100 =


18.5193 ≈


18.52


[7] Financial gain, Pr:

Pr = I - Fw


Pr, financial gain

I, simple interest amount

Fw, Withdrawal Fee Amount


Pr =


I - Fw =


92.31 - 18.52 =


73.79

Answer:

Principal (initial amount) = 525.00

Amount earned = 617.31

Simple interest amount = 92.31


Withdrawal Fee Amount = 18.52

Financial gain = 73.79


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