Calculate the Future Investment Value and the Compound Interest earned by a principal of 30,000.00 (Dollar, Euro, Pound, ...), initial amount of money lent, deposited or borrowed, with a duration of 3 months, 0.35% annual interest rate, compounded daily (360 times a year)

Calculation formula. Used notations. Project Breakdown.


[1] Calculation method used: 30 / 360

Number of days in a month = 30


Number of days in a year = 360


[2] Future Investment Value, FV
Calculation formula:

FV =


P × (1 + r/n)n×t


FV, Future Investment Value


P, Principal (initial amount), P = 30,000.00


r, Annual compound interest rate, r = 0.35%


n, Number of times the interest compounds during a year
Compound frequency: daily (360 times a year)
n = 360


r/n = 0.35%/360 = (0.35 ÷ 100)/360 = 0.35/(100 × 360)
r/n = 0.000009722222


t, Duration of the investment
n×t, Duration of the investment, related to n

n×t =

+ 3 months × 30 days / month

n×t = 90 days


>> Compound Interest: what is it, how is it calculated?


Calculate FV
Substitute for the values in the FV formula:

FV =


P × (1 + r/n)n×t =


30,000.00 × (1 + 0.000009722222)90 =


30,000.00 × 1.00000972222290 =


30,000.00 × 1.000875378647 ≈


30,026.26


[3] Compound interest amount, CI
Calculation formula

CI = FV - P


CI, compound interest amount

FV, Future Investment Value

P, Principal (initial amount)


CI ≈


30,026.26 - 30,000.00 ≈


26.26


[4] Project Breakdown. Monthly.

Interest compounded: daily (360 times a year).

Month Days Interest Total
interest
Balance
0 0 -- -- 30,000.00
1 30 8.75 8.75 30,008.75
2 30 8.75 17.51 30,017.51
3 30 8.76 26.26 30,026.26
Month Days Interest Total
interest
Balance

Answer:

Principal (initial amount) = 30,000.00

Future Investment Value = 30,026.26

Compound interest amount = 26.26


More calculations on Compound Interest and Future Investment Value:

Calculator: Compound Interest, Future Investment Value

FV = P × (1 + r/n)n×t + A × [(1 + r/m)m×t - 1] ÷ r/m

FV = Future Value of investment

P = Principal amount invested (the original contribution)

A = Regular contribution (additional money added periodically to the initial investment, P)

r = Annual Interest Rate the investment is earning

n = Number of times the interest compounds during a year

m = Number of times the regular contribution is made during a year

t = Number of years the investment is going to be active

t and r are expressed using the same time units

The Latest Calculations: Compound Interest Amounts and Future Investment Values

Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 30,000.00 Annual Interest Rate: 0.35% Compound Frequency: daily Duration: 3 months Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 1,035.00 Annual Interest Rate: 8.00% Compound Frequency: daily Duration: 10 months and 1 day Periodic Contribution: 345.00 Contribution Frequency: monthly Contribution added to the balance: at the beginning of each compounding period Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 1,034.00 Annual Interest Rate: 7.67% Compound Frequency: daily Duration: 4 years 9 months and 8 days Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 109.00 Annual Interest Rate: 0.01% Compound Frequency: daily Duration: 2 years 5 months and 25 days Transaction Fee Rate: 5.00% Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 1,049.00 Annual Interest Rate: 0.02% Compound Frequency: daily Duration: 4 years 2 months and 8 days Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 1.02 Annual Interest Rate: 2.00% Compound Frequency: daily Duration: 4 years 11 months and 6 days Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 1.03 Annual Interest Rate: 2.00% Compound Frequency: daily Duration: 4 years 9 months and 25 days Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 1.47 Annual Interest Rate: 2.00% Compound Frequency: daily Duration: 1 year 1 month and 25 days Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 106.00 Annual Interest Rate: 3.00% Compound Frequency: daily Duration: 5 years 2 months and 27 days Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 1.09 Annual Interest Rate: 2.00% Compound Frequency: daily Duration: 4 years 10 months and 11 days Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 1.05 Annual Interest Rate: 2.00% Compound Frequency: daily Duration: 3 years 3 months and 3 days Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 9,201.00 Annual Interest Rate: 10.00% Compound Frequency: annually Duration: 2 years 1 month and 9 days Periodic Contribution: 1,672.00 Contribution Frequency: monthly Contribution added to the balance: at the beginning of each compounding period Apr 29 20:25 UTC (GMT)
Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 102,344.00 Annual Interest Rate: 40.00% Compound Frequency: daily Duration: 2 years 7 months and 5 days Apr 29 20:25 UTC (GMT)
All the Calculations: Compound Interest Amounts and Future Investment Values


Compound interest.

Interest. Simple and compound interest. Differences.

How is the compound interest being calculated?

>> Full article: compound interest