02 // Visual Math & Finance SolversM = PMT × [((1 + i)^n − 1) / i] × (1 + i)
Visual SIP (Systematic Investment Plan) Wealth Builder
A Systematic Investment Plan (SIP) invests a fixed periodic cash flow $PMT$ into compounding assets, yielding $FV = PMT \times \frac{(1+i)^n - 1}{i}(1+i)$ where $i = r/12$ is the monthly return rate.
M = PMT × [((1 + i)^n − 1) / i] × (1 + i)Inputs & Parameters (4)
$
0$±1000100000$
$
50$±5010000$
%
2%±0.520%
yr
1yr±140yr
Terminal Value (FV)
$737,186
3.74× wealth multiplier
Pure Compound Earnings
$540,186
73.3% of ending balance
Total Cash Contributed
$197,000
$5,000 seed + $192,000 deposits
4% Rule Safe Income
$2,457/mo
$29,487/yr perpetual withdrawal
20-Row Comparison Table
Compare across:
| # | Lump-Sum Seed Capital ($) | Future Portfolio Value (FV) | Total Contributions | Compound Growth |
|---|---|---|---|---|
| 01 | 0 $ | $692,510 | $192,000 | $500,510 |
| 02 | 5,000 $ (Current) | $737,186 | $197,000 | $540,186 |
| 03 | 11,000 $ | $790,796 | $203,000 | $587,796 |
| 04 | 16,000 $ | $835,471 | $208,000 | $627,471 |
| 05 | 21,000 $ | $880,146 | $213,000 | $667,146 |
| 06 | 26,000 $ | $924,821 | $218,000 | $706,821 |
| 07 | 32,000 $ | $978,431 | $224,000 | $754,431 |
| 08 | 37,000 $ | $1,023,106 | $229,000 | $794,106 |
| 09 | 42,000 $ | $1,067,781 | $234,000 | $833,781 |
| 10 | 47,000 $ | $1,112,456 | $239,000 | $873,456 |
| 11 | 53,000 $ | $1,166,066 | $245,000 | $921,066 |
| 12 | 58,000 $ | $1,210,741 | $250,000 | $960,741 |
| 13 | 63,000 $ | $1,255,416 | $255,000 | $1,000,416 |
| 14 | 68,000 $ | $1,300,091 | $260,000 | $1,040,091 |
| 15 | 74,000 $ | $1,353,702 | $266,000 | $1,087,702 |
| 16 | 79,000 $ | $1,398,377 | $271,000 | $1,127,377 |
| 17 | 84,000 $ | $1,443,052 | $276,000 | $1,167,052 |
| 18 | 89,000 $ | $1,487,727 | $281,000 | $1,206,727 |
| 19 | 95,000 $ | $1,541,337 | $287,000 | $1,254,337 |
| 20 | 100,000 $ | $1,586,012 | $292,000 | $1,294,012 |
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Key Analytical Takeaways
- 01Dollar-cost averaging via monthly SIPs removes market-timing emotion and automatically acquires more units when asset prices dip.
- 02Over a 20-year horizon at 11% CAGR, compound returns constitute more than 72% of the final maturity value.
- 03The wealth multiplier ($FV / \text{Total Invested}$) accelerates sharply past year 12 as secondary compounding takes over.
Frequently Asked Questions
How is SIP return calculated?+
Each monthly SIP installment compounds for its own remaining tenure using the annuity-due future value formula.
Can I combine a lump sum with a monthly SIP here?+
Yes—adjust the Lump-Sum Seed Capital slider alongside the Monthly SIP Installment slider to view combined hybrid growth.
How does rupee/dollar-cost averaging reduce timing risk in a SIP?+
Fixed periodic SIP installments automatically purchase more units when market prices dip and fewer units at market peaks, lowering your average cost per unit over volatile market cycles.