Dollar-Weighted Return
Quick Definition
A return calculation that accounts for the timing and size of cash flows, reflecting the actual return experienced by the investor.
What Is Dollar-Weighted Return?
Dollar-Weighted Return
Dollar-weighted return (also called Internal Rate of Return or money-weighted return) measures the actual return an investor earns by accounting for the timing and size of all deposits and withdrawals. Unlike time-weighted return, it reflects how well an investor timed their contributions.
How It Differs from Time-Weighted Return
| Feature | Dollar-Weighted Return | Time-Weighted Return |
|---|---|---|
| Considers cash flow timing | Yes | No |
| Measures | Investor's actual experience | Fund/strategy performance |
| Affected by deposits/withdrawals | Yes | No |
| Best for evaluating | Individual investor results | Fund manager skill |
| Also known as | IRR, money-weighted return | TWRR, geometric return |
Example: Why Timing Matters
Fund returns: Year 1: +30%, Year 2: -10%
Investor A (invests $10,000 at start, adds nothing):
- Year 1: $10,000 → $13,000
- Year 2: $13,000 → $11,700
- Dollar-weighted return: ~8.2% (same as time-weighted)
Investor B (invests $10,000 at start, adds $50,000 before Year 2):
- Year 1: $10,000 → $13,000
- Adds $50,000 (total: $63,000)
- Year 2: $63,000 → $56,700
- Dollar-weighted return: ~-5.2% (invested most money before the bad year)
Both investors owned the same fund, but Investor B's dollar-weighted return is negative because they added the most money right before the decline.
Calculation
The dollar-weighted return is the discount rate (r) that makes the present value of all cash flows equal to zero:
0 = CF₀ + CF₁/(1+r) + CF₂/(1+r)² + ... + CFₙ/(1+r)ⁿ
Where CF = cash flow (positive for contributions, negative for withdrawals/ending value)
Real-World Impact
Studies by Dalbar show the average equity fund investor earns 3-4% less per year than the fund itself — largely because of poor timing (buying high, selling low). This gap between fund returns and investor returns is captured by the difference between time-weighted and dollar-weighted returns.
Why It Matters
Dollar-weighted return reveals the true impact of your investment decisions — not just what the market delivered, but what you actually earned given your timing. It serves as a reality check, showing whether your contributions and withdrawals helped or hurt your overall results.
Formula
Formula
0 = CF₀ + CF₁/(1+r)¹ + CF₂/(1+r)² + ... + CFₙ/(1+r)ⁿDollar-Weighted Return Example
- 1An investor's dollar-weighted return was only 5% despite their fund returning 9%, because they added most of their money before a market decline.
- 2A 401(k) participant's dollar-weighted return of 7.2% exceeded the fund's 6.8% time-weighted return because they increased contributions during the 2020 dip.
Related Terms
Time-Weighted Return
A return calculation that eliminates the impact of cash flows to measure pure investment performance, independent of investor timing.
Dollar-Cost Averaging (DCA)
Investing a fixed amount at regular intervals regardless of price, reducing the impact of market volatility over time.
Systematic Investing
An investment approach using predetermined rules and automated processes to make consistent investments, removing emotion from decisions.
Benchmark Index
A standard index used to measure and compare the performance of a portfolio or investment manager over time.
Alpha Generation
The process of creating investment returns that exceed a benchmark index, attributable to manager skill rather than market exposure.
Asset Allocation
The process of dividing investments among different asset classes like stocks, bonds, and cash to balance risk and reward.
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