Calculate Compound Interest and Future Value of Principal 40.00 (Dollar, Euro, Pound). Duration: 1 Year, 7 Months and 1 Day. Annual Interest Rate: 15.00%. Compounded Daily. Fee Rate: 5.00%

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 = 40.00
  • r, Annual compound interest rate, r = 15.00%
  • n, Number of times the interest compounds during a year
    Compound frequency: daily (360 times a year)
    n = 360
  • r/n = 15.00%/360 = (15.00 ÷ 100)/360 = 15.00/(100 × 360)
    r/n = 0.000416666667
  • t, Duration of the investment
    n×t, Duration of the investment, related to n
  • n×t = 1 year × 360 days / year + 7 months × 30 days / month + 1 day

    n×t = 571 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 =

40.00 × (1 + 0.000416666667)571 =

40.00 × 1.000416666667571 =

40.00 × 1.268540611159 ≈

50.74


[3] Compound Interest amount, CI
Calculation formula

  • Compound Interest amount is calculated as the difference between the Future Value of the investment and the Principal.

CI = FV - P

  • CI, Compound Interest amount
  • FV, Future investment Value
  • P, Principal (initial amount)

CI ≈

50.74 - 40.00 ≈

10.74


[4] Project Breakdown. Monthly.

Interest compounded: daily (360 times a year).


Month Days Interest Total
interest 		Balance
0 0 -- -- 40.00
1 30 0.50 0.50 40.50
2 30 0.51 1.01 41.01
3 30 0.52 1.53 41.53
4 30 0.52 2.05 42.05
5 30 0.53 2.58 42.58
6 30 0.54 3.11 43.11
7 30 0.54 3.66 43.66
8 30 0.55 4.21 44.21
9 30 0.56 4.76 44.76
10 30 0.56 5.32 45.32
11 30 0.57 5.89 45.89
12 30 0.58 6.47 46.47
13 30 0.58 7.06 47.06
14 30 0.59 7.65 47.65
15 30 0.60 8.25 48.25
16 30 0.61 8.85 48.85
17 30 0.61 9.47 49.47
18 30 0.62 10.09 50.09
19 30 0.63 10.72 50.72
20 1 0.02 10.74 50.74
Month Days Interest Total
interest 		Balance

Transaction Fee amount, Fw. Financial gain, Pr

[5] The amount charged as a Transaction Fee

Fw = Fw% × FV

Transaction Fee amount calculated as a percentage of the Future Value.

Fw, Transaction Fee amount

Fw%, Transaction Fee Rate %.

FV, Future investment Value


Fw =

Fw% × FV =

5% × 50.74 =

5/100 × 50.74 =

(5 × 50.74)/100 =

253.71/100 =

253.71 ÷ 100 =

2.5371 ≈

2.54


[6] Financial gain, Pr:

Pr = CI - Fw

Pr, Financial gain

CI, Compound Interest amount

Fw, Transaction Fee amount


Pr =

CI - Fw =

10.74 - 2.54 =

8.20

Answer:

Principal (initial amount)
40.00
Future investment Value
50.74
Compound Interest amount
10.74
Transaction Fee amount
2.54
Financial gain
8.20

More calculations on Compound Interest and Future Investment Value:

» Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 100,000,000.00 Annual Interest Rate: 15.00% Compound Frequency: daily Duration: 3 years 8 months and 9 days Transaction Fee Rate: 5%

» Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 121.00 Annual Interest Rate: 15.00% Compound Frequency: daily Duration: 3 years 8 months and 9 days Transaction Fee Rate: 5%

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



Compound interest.

Interest. Simple and compound interest. Differences.

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>> Full article: compound interest