Calculate Compound Interest and Future Value of Principal 1.05 (Dollar, Euro, Pound). Duration: 5 Years, 6 Months and 11 Days. Annual Interest Rate: 2.00%. Compounded Daily

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 = 1.05
  • r, Annual compound interest rate, r = 2.00%
  • n, Number of times the interest compounds during a year
    Compound frequency: daily (360 times a year)
    n = 360
  • r/n = 2.00%/360 = (2.00 ÷ 100)/360 = 2.00/(100 × 360)
    r/n = 0.000055555556
  • t, Duration of the investment
    n×t, Duration of the investment, related to n
  • n×t = 5 years × 360 days / year + 6 months × 30 days / month + 11 days

    n×t = 1,991 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 =

1.05 × (1 + 0.000055555556)1,991 =

1.05 × 1.0000555555561,991 =

1.05 × 1.116957018099 ≈

1.17


[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 ≈

1.17 - 1.05 ≈

0.12


[4] Project Breakdown. Monthly.

Interest compounded: daily (360 times a year).


Month Days Interest Total
interest 		Balance
0 0 -- -- 1.05
1 30 0.00 0.00 1.05
2 30 0.00 0.00 1.05
3 30 0.00 0.01 1.06
4 30 0.00 0.01 1.06
5 30 0.00 0.01 1.06
6 30 0.00 0.01 1.06
7 30 0.00 0.01 1.06
8 30 0.00 0.01 1.06
9 30 0.00 0.02 1.07
10 30 0.00 0.02 1.07
11 30 0.00 0.02 1.07
12 30 0.00 0.02 1.07
13 30 0.00 0.02 1.07
14 30 0.00 0.02 1.07
15 30 0.00 0.03 1.08
16 30 0.00 0.03 1.08
17 30 0.00 0.03 1.08
18 30 0.00 0.03 1.08
19 30 0.00 0.03 1.08
20 30 0.00 0.04 1.09
21 30 0.00 0.04 1.09
22 30 0.00 0.04 1.09
23 30 0.00 0.04 1.09
24 30 0.00 0.04 1.09
25 30 0.00 0.04 1.09
26 30 0.00 0.05 1.10
27 30 0.00 0.05 1.10
28 30 0.00 0.05 1.10
29 30 0.00 0.05 1.10
30 30 0.00 0.05 1.10
31 30 0.00 0.06 1.11
32 30 0.00 0.06 1.11
33 30 0.00 0.06 1.11
34 30 0.00 0.06 1.11
35 30 0.00 0.06 1.11
36 30 0.00 0.06 1.11
37 30 0.00 0.07 1.12
38 30 0.00 0.07 1.12
39 30 0.00 0.07 1.12
40 30 0.00 0.07 1.12
41 30 0.00 0.07 1.12
42 30 0.00 0.08 1.13
43 30 0.00 0.08 1.13
44 30 0.00 0.08 1.13
45 30 0.00 0.08 1.13
46 30 0.00 0.08 1.13
47 30 0.00 0.09 1.14
48 30 0.00 0.09 1.14
49 30 0.00 0.09 1.14
50 30 0.00 0.09 1.14
51 30 0.00 0.09 1.14
52 30 0.00 0.10 1.15
53 30 0.00 0.10 1.15
54 30 0.00 0.10 1.15
55 30 0.00 0.10 1.15
56 30 0.00 0.10 1.15
57 30 0.00 0.10 1.15
58 30 0.00 0.11 1.16
59 30 0.00 0.11 1.16
60 30 0.00 0.11 1.16
61 30 0.00 0.11 1.16
62 30 0.00 0.11 1.16
63 30 0.00 0.12 1.17
64 30 0.00 0.12 1.17
65 30 0.00 0.12 1.17
66 30 0.00 0.12 1.17
67 11 0.00 0.12 1.17
Month Days Interest Total
interest 		Balance

Answer:

Principal (initial amount)
1.05
Future investment Value
1.17
Compound Interest amount
0.12

More calculations on Compound Interest and Future Investment Value:

» Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 0.98 Annual Interest Rate: 2.00% Compound Frequency: daily Duration: 2 years 9 months and 3 days

» Calculate the Compound Interest Amount and the Future Investment Value. Principal (Initial Amount): 1.12 Annual Interest Rate: 2.00% Compound Frequency: daily Duration: 2 years 9 months and 3 days

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



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