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Home/Finance Tools/Time-Weighted Return (TWR) Calculator

Time-Weighted Return (TWR) Calculator

Home › Finance Tools › Time-Weighted Return (TWR) Calculator

Time-Weighted Return (TWR) Calculator

Measure the compound growth rate of a portfolio by eliminating the distorting effects of external cash deposits or withdrawals. Ideal for evaluating investment manager performance.

Periodic Deposits (3 Periods)
Capital Withdrawals (2 Periods)
+ Add Sub-Period
Calculate TWR
Reset
Run Engine Unit Tests
Total Time-Weighted Return (TWR)
—

Define sub-periods on the left to calculate growth.

*This measures growth independent of the size or timing of external cash flows.
Sub-Period Returns (HPR)
No sub-periods calculated yet.
Compounded TWR Index Growth (Base 100)
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Understanding Time-Weighted Return (TWR)

The Time-Weighted Return (TWR) measures the compound growth rate in a portfolio. It is the industry standard for reporting investment performance because it breaks the evaluation period into sub-periods based on the timing of cash deposits and withdrawals, thereby eliminating the influence of external cash additions.

TWR vs. MWR (Internal Rate of Return)

While **Money-Weighted Return (MWR / IRR)** is heavily influenced by *when* and *how much* money is deposited (rewarding investors who deposit right before market rises), **TWR** reflects purely the underlying quality of the asset selection and management. TWR evaluates the manager, whereas MWR evaluates the absolute dollar growth of the client.

The Mathematical Formula

Step 1: Calculate the Holding Period Return (HPR) for each sub-period:

HPRt = [ Ending Valuet / ( Starting Valuet + Cash Flowt ) ] – 1

Step 2: Compound all sub-period yields:

TWR = [ ( 1 + HPR1 ) × ( 1 + HPR2 ) × … × ( 1 + HPRm ) ] – 1

Where:

  • Starting Value = Portfolio worth at the start of the sub-period.
  • Cash Flow = Any deposit (positive) or withdrawal (negative) made at the beginning of the sub-period.
  • Ending Value = Portfolio worth at the end of the sub-period, immediately before the next cash flow.

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