Calculate The Due Simple Flat Rate Interest Earned by a Principal of 1,000.00 (Dollar, Euro, Pound, ...), 4.50% Annual Interest Rate, for a Period With The Duration of 6 months and 14 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 = 1,000.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 4.50%


t = Duration of the investment, in days
t = 6 months and 14 days

t =

+ 6 months × 30 days / month
+ 14 days

t = 194 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 =


(1,000.00 × 4.50% × 194) ÷ 360 =


1,000.00 × 4.50 ÷ 100 × 194 ÷ 360 =


(1,000.00 × 4.50 × 194) ÷ (360 × 100) =


873,000.00 ÷ 36,000 =


24.25


[4] V = Amount earned:

V = P + I =


1,000.00 + 24.25 =


1,024.25


[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 -- -- 1,000.00
1 30 3.75 3.75 1,003.75
2 30 3.75 7.50 1,007.50
3 30 3.75 11.25 1,011.25
4 30 3.75 15.00 1,015.00
5 30 3.75 18.75 1,018.75
6 30 3.75 22.50 1,022.50
7 14 1.75 24.25 1,024.25
Month Days Interest Total
interest
Balance

Answer:

Principal (initial amount) = 1,000.00

Amount earned = 1,024.25

Simple interest amount = 24.25


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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