Calculate The Due Simple Flat Rate Interest Earned by a Principal of 117,914.00 (Dollar, Euro, Pound, ...), 5.00% Annual Interest Rate, for a Period With The Duration of 4 years, 5 months and 29 days

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 = 117,914.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 5.00%


t = Duration of the investment, in days
t = 4 years, 5 months and 29 days

t =

+ 4 years × 360 days / year
+ 5 months × 30 days / month
+ 29 days

t = 1,619 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 =


(117,914.00 × 5.00% × 1,619) ÷ 360 =


117,914.00 × 5.00 ÷ 100 × 1,619 ÷ 360 =


(117,914.00 × 5.00 × 1,619) ÷ (360 × 100) =


954,513,830.00 ÷ 36,000 ≈


26,514.273055555556 ≈


26,514.27


[4] V = Amount earned:

V = P + I =


117,914.00 + 26,514.27 =


144,428.27


[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 -- -- 117,914.00
1 30 491.31 491.31 118,405.31
2 30 491.31 982.62 118,896.62
3 30 491.31 1,473.92 119,387.92
4 30 491.31 1,965.23 119,879.23
5 30 491.31 2,456.54 120,370.54
6 30 491.31 2,947.85 120,861.85
7 30 491.31 3,439.16 121,353.16
8 30 491.31 3,930.47 121,844.47
9 30 491.31 4,421.77 122,335.77
10 30 491.31 4,913.08 122,827.08
11 30 491.31 5,404.39 123,318.39
12 30 491.31 5,895.70 123,809.70
13 30 491.31 6,387.01 124,301.01
14 30 491.31 6,878.32 124,792.32
15 30 491.31 7,369.62 125,283.62
16 30 491.31 7,860.93 125,774.93
17 30 491.31 8,352.24 126,266.24
18 30 491.31 8,843.55 126,757.55
19 30 491.31 9,334.86 127,248.86
20 30 491.31 9,826.17 127,740.17
21 30 491.31 10,317.47 128,231.47
22 30 491.31 10,808.78 128,722.78
23 30 491.31 11,300.09 129,214.09
24 30 491.31 11,791.40 129,705.40
25 30 491.31 12,282.71 130,196.71
26 30 491.31 12,774.02 130,688.02
27 30 491.31 13,265.32 131,179.32
28 30 491.31 13,756.63 131,670.63
29 30 491.31 14,247.94 132,161.94
30 30 491.31 14,739.25 132,653.25
31 30 491.31 15,230.56 133,144.56
32 30 491.31 15,721.86 133,635.86
33 30 491.31 16,213.17 134,127.17
34 30 491.31 16,704.48 134,618.48
35 30 491.31 17,195.79 135,109.79
36 30 491.31 17,687.10 135,601.10
37 30 491.31 18,178.41 136,092.41
38 30 491.31 18,669.71 136,583.71
39 30 491.31 19,161.02 137,075.02
40 30 491.31 19,652.33 137,566.33
41 30 491.31 20,143.64 138,057.64
42 30 491.31 20,634.95 138,548.95
43 30 491.31 21,126.26 139,040.26
44 30 491.31 21,617.56 139,531.56
45 30 491.31 22,108.87 140,022.87
46 30 491.31 22,600.18 140,514.18
47 30 491.31 23,091.49 141,005.49
48 30 491.31 23,582.80 141,496.80
49 30 491.31 24,074.11 141,988.11
50 30 491.31 24,565.41 142,479.41
51 30 491.31 25,056.72 142,970.72
52 30 491.31 25,548.03 143,462.03
53 30 491.31 26,039.34 143,953.34
54 29 474.93 26,514.27 144,428.27
Month Days Interest Total
interest
Balance

Answer:

Principal (initial amount) = 117,914.00

Amount earned = 144,428.27

Simple interest amount = 26,514.27


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