15-Year Wealth Creation Illustration
15-Year Wealth Creation Illustration
Problem: An investor plans to build a dividend growth portfolio using a
disciplined long-term approach.
He starts with a monthly investment of ₹20,000 in a
diversified portfolio of high-quality dividend-paying stocks.
Every year, he increases his monthly investment
by 10% to match income growth.
The portfolio is
expected to generate a long-term average return of 12% per annum.
After 15
years, estimate:
1.
The total amount
invested
2.
The future value of
the portfolio
3.
The annual dividend
income if the portfolio yields 3%
at the end of 15 years.
Let us
solve this step-by-step in a simple and logical manner.
Solution:
✅ Given Data
- Monthly SIP (Year 1) = ₹20,000
- Annual Step-Up Rate (g) = 10%
- Annual Portfolio Return (r) = 12%
- Time Period (n) = 15 years
- Dividend Yield at end = 3%
PART 1 – Total Amount Invested
Since SIP increases every year, we
calculate year-wise:
Each year investment rises by 10%.
|
Year |
Monthly SIP (₹) |
Annual Investment (₹) |
|
1 |
20,000 |
2,40,000 |
|
2 |
22,000 |
2,64,000 |
|
3 |
24,200 |
2,90,400 |
|
4 |
26,620 |
3,19,440 |
|
5 |
29,282 |
3,51,384 |
|
6 |
32,210 |
3,86,520 |
|
7 |
35,431 |
4,25,172 |
|
8 |
38,974 |
4,67,688 |
|
9 |
42,871 |
5,14,452 |
|
10 |
47,158 |
5,65,896 |
|
11 |
51,874 |
6,22,488 |
|
12 |
57,061 |
6,84,732 |
|
13 |
62,767 |
7,53,204 |
|
14 |
69,044 |
8,28,528 |
|
15 |
75,948 |
9,11,376 |
🔹 Total Invested
Sum of all annual investments:
Total Invested ≈ ₹65,25,000 ≈ ₹65 lakh
PART 2 – Future Value of Step-Up SIP
We use Future
Value of Growing Annuity Formula:
FV= [P× (1+r) n−(1+g) n]/
(r−g)
Where:
- P = First year annual investment =
₹2,40,000
- r = 12% = 0.12
- g = 10% = 0.10
- n = 15
Plug Values
FV=2,40,000× [(1.12)15−(1.10)15]/(0.12-0.10)
F
FV = 2,40,000x1.29/0.02
V
FV≈₹1,54,80,000
🔹 Portfolio Value
Allowing
rounding and market variation:
Portfolio
Value ≈₹1.4 – ₹1.5
PART 3 –
Annual Dividend Income
Dividend=Portfolio Value × Dividend Yield
Dividend
Yield = 3%
Dividend
Income = Portfolio Value x 3%
If
portfolio value = ₹1.45 crore:
1,45,00,000
x0.03 = ₹4,35,000
✅ FINAL
ANSWER
|
Item |
Result |
|
|
Total Invested |
≈ ₹65 lakh |
|
|
Portfolio Value After 15 Years |
≈ ₹1.4 – ₹1.5 crore |
|
|
Annual Dividend Income |
≈ ₹4 – ₹5 lakh |
|
Monthly Income= ₹33,000-₹42,000
Bonus: If Dividends Grow at 8%
After 5
more years:
4.35 lakh× (1.08)5
4.35×1.47=₹6.39 lakh
Without
adding new money, income crosses ₹6 lakh/year.
Key
Insight
You invested only ₹65 lakh,
but time + compounding + step-up + dividend growth created:
👉 ₹1.5 crore wealth
👉 Lifelong rising income
Interpretation
- Only ₹20,000 per month growing gradually
- Creates crore-level wealth
- Generates lifetime passive income
This is the
power of step-up SIP + compounding + dividend growth.
Learning Objective
This
problem demonstrates how step-up investing combined with compounding returns
can create a large retirement corpus and sustainable income without
relying on speculation or market timing.
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