# Market-cap weighting

Market-cap weighting is a method of assigning portfolio or index weights in proportion to each company's market capitalization, so larger companies account for a greater share.

## What it means

In a market-cap-weighted stock index, a company's share of the index depends on its market value relative to the other included companies. A larger company generally has a larger weight and a greater effect on the index's movements. A portfolio can follow the same approach, although an investor's actual holdings may differ from an index's weights.

Market capitalization is the share price multiplied by the number of shares outstanding. Many indexes use **free-float-adjusted** market capitalization instead: they count shares considered available to public investors rather than every outstanding share. The distinction matters because an index's published weights may not match a calculation using total market capitalizations.

## How it is calculated

For a simple portfolio of included stocks, use:

`weight_i = market_cap_i / sum(market_cap_j for all included stocks j)`

- `weight_i` is stock *i*'s fraction of the portfolio or index; multiply by 100 to express it as a percentage.
- `market_cap_i` is stock *i*'s market capitalization, in US$ in this example: its share price times its shares outstanding.
- `sum(market_cap_j for all included stocks j)` is the combined market capitalization, in US$, of the stocks being weighted.

Use the same currency and the same capitalization basis for every stock. For a free-float-adjusted index, replace each company's total market capitalization with its free-float-adjusted market capitalization. Eligible constituents and any index-specific weighting limits can also affect published weights.

## Worked example

Suppose a hypothetical three-stock portfolio is weighted by total market capitalization. These are round numbers for illustration, not real company data:

| Stock | Share price | Shares outstanding | Market capitalization |
| --- | ---: | ---: | ---: |
| A | US$100 | 10 million | US$1 billion |
| B | US$50 | 10 million | US$500 million |
| C | US$25 | 20 million | US$500 million |

1. Multiply price by shares outstanding for each stock. For A, US$100 × 10 million shares = US$1 billion.
2. Add the market capitalizations: US$1 billion + US$500 million + US$500 million = US$2 billion.
3. Divide each company's capitalization by US$2 billion. A's weight is 50%; B's and C's weights are 25% each.
4. If the hypothetical portfolio holds US$10,000 at these weights, its stock values are US$5,000 in A and US$2,500 in each of B and C. These are allocations, not forecasts of future value.

## Why it matters before you trade

A market-cap-weighted basket can look diversified by stock count while remaining concentrated in its largest companies. In the example, A alone accounts for half the basket. A 10% move in A would change the basket's value by approximately 5%, before changes in B or C and before trading costs.

Weights also affect sector, country and currency exposure when large constituents share those characteristics. Before placing an order, compare the basket's intended weights with the weights implied by the quantities and prices entered. Check the largest position, overall concentration and whether the planned trades would change existing exposures. Market-cap weighting describes how amounts are allocated; it does not establish that the resulting basket suits a particular investor.

## How PreTrAIde uses it

PreTrAIde's pre-trade analysis takes a user-built stock basket with a side, quantity and execution conditions for each line. Its quantitative layer provides portfolio breakdowns by country, sector, region, currency and market capitalization, as well as a Herfindahl-Hirschman concentration index. Those checks can help a user examine exposure and concentration before an order is placed; the product facts do not say that PreTrAIde constructs a market-cap-weighted portfolio or index.

PreTrAIde returns a GO, NO-GO or MODIFY verdict for the basket and each line, with reasoning. These verdicts are decision support, not trade recommendations. Users place any trades themselves through their own broker.

## Common mistakes

- **Confusing capitalization with portfolio value.** A company's market capitalization determines its *target proportional weight* under this method; the US$ value held depends on the portfolio's size.
- **Using the wrong share count.** Total shares outstanding and free-float-adjusted shares can produce different weights.
- **Assuming equal diversification.** Holding many stocks does not prevent a few large companies from dominating results.
- **Treating weights as fixed.** Relative prices change weights over time; additions, removals or index rules can change them too.
- **Ignoring the trade itself.** A target weight does not account for spread, market impact or other execution costs.

---
Source: https://pretraide.com/glossary/market-cap-weighting
