Calculate The Due Simple Flat Rate Interest Earned by a Principal of 45.00 (Dollar, Euro, Pound, ...), 6.00% Annual Interest Rate, for a Period With The Duration of 1 year, 8 months and 12 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 = 45.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 6.00%


t = Duration of the investment, in days
t = 1 year, 8 months and 12 days

t =

+ 1 year × 360 days / year
+ 8 months × 30 days / month
+ 12 days

t = 612 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 =


(45.00 × 6.00% × 612) ÷ 360 =


45.00 × 6.00 ÷ 100 × 612 ÷ 360 =


(45.00 × 6.00 × 612) ÷ (360 × 100) =


165,240.00 ÷ 36,000 =


4.59


[4] V = Amount earned:

V = P + I =


45.00 + 4.59 =


49.59


[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 -- -- 45.00
1 30 0.23 0.23 45.23
2 30 0.23 0.45 45.45
3 30 0.23 0.68 45.68
4 30 0.23 0.90 45.90
5 30 0.23 1.13 46.13
6 30 0.23 1.35 46.35
7 30 0.23 1.58 46.58
8 30 0.23 1.80 46.80
9 30 0.23 2.03 47.03
10 30 0.23 2.25 47.25
11 30 0.23 2.48 47.48
12 30 0.23 2.70 47.70
13 30 0.23 2.93 47.93
14 30 0.23 3.15 48.15
15 30 0.23 3.38 48.38
16 30 0.23 3.60 48.60
17 30 0.23 3.83 48.83
18 30 0.23 4.05 49.05
19 30 0.23 4.28 49.28
20 30 0.23 4.50 49.50
21 12 0.09 4.59 49.59
Month Days Interest Total
interest
Balance

Answer:

Principal (initial amount) = 45.00

Amount earned = 49.59

Simple interest amount = 4.59


More calculations on Simple (Flat Rate) Interest:

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