Calculate The Due Simple Flat Rate Interest Earned by a Principal of 1,020.00 (Dollar, Euro, Pound, ...), 4.50% Annual Interest Rate, for a Period With The Duration of 4 years, 11 months and 18 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 = 1,020.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 4.50%


t = Duration of the investment, in days
t = 4 years, 11 months and 18 days

t =

+ 4 years × 360 days / year
+ 11 months × 30 days / month
+ 18 days

t = 1,788 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 =


(1,020.00 × 4.50% × 1,788) ÷ 360 =


1,020.00 × 4.50 ÷ 100 × 1,788 ÷ 360 =


(1,020.00 × 4.50 × 1,788) ÷ (360 × 100) =


8,206,920.00 ÷ 36,000 =


227.97


[4] V = Amount earned:

V = P + I =


1,020.00 + 227.97 =


1,247.97


[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 -- -- 1,020.00
1 30 3.83 3.83 1,023.83
2 30 3.83 7.65 1,027.65
3 30 3.83 11.48 1,031.48
4 30 3.83 15.30 1,035.30
5 30 3.83 19.13 1,039.13
6 30 3.83 22.95 1,042.95
7 30 3.83 26.78 1,046.78
8 30 3.83 30.60 1,050.60
9 30 3.83 34.43 1,054.43
10 30 3.83 38.25 1,058.25
11 30 3.83 42.08 1,062.08
12 30 3.83 45.90 1,065.90
13 30 3.83 49.73 1,069.73
14 30 3.83 53.55 1,073.55
15 30 3.83 57.38 1,077.38
16 30 3.83 61.20 1,081.20
17 30 3.83 65.03 1,085.03
18 30 3.83 68.85 1,088.85
19 30 3.83 72.68 1,092.68
20 30 3.83 76.50 1,096.50
21 30 3.83 80.33 1,100.33
22 30 3.83 84.15 1,104.15
23 30 3.83 87.98 1,107.98
24 30 3.83 91.80 1,111.80
25 30 3.83 95.63 1,115.63
26 30 3.83 99.45 1,119.45
27 30 3.83 103.28 1,123.28
28 30 3.83 107.10 1,127.10
29 30 3.83 110.93 1,130.93
30 30 3.83 114.75 1,134.75
31 30 3.83 118.58 1,138.58
32 30 3.83 122.40 1,142.40
33 30 3.83 126.23 1,146.23
34 30 3.83 130.05 1,150.05
35 30 3.83 133.88 1,153.88
36 30 3.83 137.70 1,157.70
37 30 3.83 141.53 1,161.53
38 30 3.83 145.35 1,165.35
39 30 3.83 149.18 1,169.18
40 30 3.83 153.00 1,173.00
41 30 3.83 156.83 1,176.83
42 30 3.83 160.65 1,180.65
43 30 3.83 164.48 1,184.48
44 30 3.83 168.30 1,188.30
45 30 3.83 172.13 1,192.13
46 30 3.83 175.95 1,195.95
47 30 3.83 179.78 1,199.78
48 30 3.83 183.60 1,203.60
49 30 3.83 187.43 1,207.43
50 30 3.83 191.25 1,211.25
51 30 3.83 195.08 1,215.08
52 30 3.83 198.90 1,218.90
53 30 3.83 202.73 1,222.73
54 30 3.83 206.55 1,226.55
55 30 3.83 210.38 1,230.38
56 30 3.83 214.20 1,234.20
57 30 3.83 218.03 1,238.03
58 30 3.83 221.85 1,241.85
59 30 3.83 225.68 1,245.68
60 18 2.30 227.97 1,247.97
Month Days Interest Total
interest
Balance

Answer:

Principal (initial amount) = 1,020.00

Amount earned = 1,247.97

Simple interest amount = 227.97


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