Dollar-Cost Averaging Calculator
A DCA calculator is a free online tool that compares dollar-cost averaging against lump sum investing. It shows projected values, volatility impact, and which strategy wins based on your inputs. Free, no sign-up required.
DCA vs Lump Sum Inputs
?The total amount you plan to invest.
?How much you contribute monthly to retirement savings.
?Enter your expected annual return.
?Enter your annual volatility.
End of inputs
Strategy Comparison
After 10 years
Spread over 12 months
0.53%
Lump sum + contributions
1-sigma range
1-sigma range
Investment: $12,000.00. Monthly: $1,000.00. Rate: 8.00%. Volatility: 15.00%. Horizon: 10 years. Lump sum: $209,581.72 vs DCA: $208,462.53 ($1,119.19 difference).
Lump Sum vs DCA Over Time
Volatility Range (1-Sigma)
Key Insights
Your 8.00% expected return aligns with long-term equity averages. At this rate, lump sum has a meaningful edge because the capital compounds longer. DCA's cost (forgone returns during deployment) grows with the rate, making early deployment more valuable.
Your monthly contribution of $1,000.00 adds $120,000.00 over 10 years — exceeding your lump sum. This means most of your wealth comes from ongoing savings, not the initial amount. Automate contributions to maximize dollar-cost averaging across the full period.
Lump sum edges out DCA by $1,119.19 — a small margin. Both strategies benefit from the same expected return; the gap reflects only the ~12-month deployment delay. If market timing anxiety might cause you to delay investing, DCA's behavioral benefit may outweigh the small cost.
At 15.00% volatility (typical for diversified equity portfolios), the 1-sigma swing is $99,413.34 for lump sum vs $59,329.48 for DCA. DCA reduces volatility exposure by ~40%. The trade-off: lower risk vs slightly lower expected return.
Your 10-year horizon is moderate — the DCA deployment period represents a larger share. Both strategies have merit: lump sum for higher expected return, DCA for risk reduction. If you're nervous about current valuations, DCA provides psychological comfort without sacrificing too much return.
Guide
How to Use This Calculator
- 1Enter your investment amount — the lump sum you're considering investing today.
- 2Set your monthly contribution on top of the lump sum. This is added to both strategies equally.
- 3Adjust the expected annual return. 7%–8% aligns with long-term equity averages; 4%–5% with balanced portfolios.
- 4Set the annual volatility (standard deviation). 15% is typical for diversified equity; 5% for bonds; 25%+ for tech-heavy portfolios.
- 5Choose your investment horizon. Longer horizons (15+ years) favor lump sum; shorter horizons (1–5 years) benefit from DCA's risk reduction.
- 6Review the lump sum value, DCA value, and difference in the result panel. A positive difference means lump sum wins; negative means DCA wins.
- 7Compare the volatility swing — DCA's 1-sigma range is roughly 60% of lump sum's, reflecting its risk-reduction benefit.
- 8Use the AI insights to assess strategy dominance, market outlook, volatility exposure, time horizon, and contribution impact.
Formula
How It's Calculated
Lump sum value (end of horizon):
LSV = P × (1 + r)^t + PMT × [((1 + r/12)^(12t) − 1) / (r/12)]
where P = investment amount, r = annual rate, t = years,
PMT = monthly contribution.
DCA value (lump sum spread over first 12 months):
For each 1/12 installment invested at month m (m = 1..12):
Installment grows for (12t − m) months at r/12 per month.
DCA = Σ (P/12) × (1 + r/12)^(12t − m) for m = 1..12
+ PMT × [((1 + r/12)^(12t) − 1) / (r/12)]
Difference = LSV − DCA
Volatility 1-sigma swing:
Lump sum: LSV × volatility × √t
DCA: DCA × volatility × √t × 0.6 (60% — capital deployed over time)
Example: $12,000 lump sum, $1,000/month contribution, 8% return,
15% volatility, 10 years:
- Total invested = $12,000 + $1,000 × 12 × 10 = $132,000
- Lump sum value ≈ $197,000+ (lump sum compounds for full 10 years)
- DCA value ≈ $191,000+ (first 1/12 compounds for 9y11m, last for 9y0m)
- Lump sum wins by ~$6,000 in a rising market (66% historical probability)Glossary
Key Terms
FAQ
Frequently Asked Questions
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