Dollar-Weighted Return

IntermediatePortfolio Management3 min read

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

FeatureDollar-Weighted ReturnTime-Weighted Return
Considers cash flow timingYesNo
MeasuresInvestor's actual experienceFund/strategy performance
Affected by deposits/withdrawalsYesNo
Best for evaluatingIndividual investor resultsFund manager skill
Also known asIRR, money-weighted returnTWRR, 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)ⁿ

Dollar-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.