Weighted averages reveal biases
Invested-weight ROI equals the aggregate portfolio ROI, but value-weight ROI favors positions that grew big—so comparing the two shows whether current winners were also heavily funded.
| Name / Ticker | Invested | Returned / Current | Fees | Income | ROI % | Weight (invested) | Gain/Loss |
|---|
Invested-weight ROI equals the aggregate portfolio ROI, but value-weight ROI favors positions that grew big—so comparing the two shows whether current winners were also heavily funded.
A tiny 0.1% platform fee on a large fixed-income sleeve can offset the gains of a high-flying small-cap position. Costs move the whole weighted average more than most people expect.
Holding cash crushes ROI in a bull market, but it props up the portfolio in a drawdown. The same cash line item flips from “drag” to “buffer” depending on the market regime.
A dull utility with steady dividends can outrank a flashy growth stock once you include income. Total return often rearranges which holdings are the true contributors.
Annualizing a portfolio only makes sense if the holdings span the same dates. Mixing a 3-month trade with a 5-year position gives a misleading CAGR mashup.
Goal: turn many positions into one clear number. For each holding you provide: Invested (your cost) plus any Fees (brokerage, platform, stamp duty) gives net invested. Returned / Current plus any Income (dividends, interest, distributions) gives net returned. The holding’s ROI is (net returned − net invested) ÷ net invested. We then compute:
(Σ net returned − Σ net invested) ÷ Σ net invested. This equals the invested-weighted average of individual ROIs.net invested ÷ Σ net invested (mathematically identical to aggregate ROI).net returned ÷ Σ net returned (a present-value perspective; not equal to aggregate ROI).(Σ net returned ÷ Σ net invested)^(1/years) − 1. This assumes holdings are broadly measured over the same period.Informational only — not financial advice. Taxes beyond the fees/income you enter, FX effects, and cash drag are not included.