# Stock market index

Stock market index is a calculated measure of the performance of a defined group of stocks, using rules that determine which stocks qualify and how much each contributes.

## What it means

An index turns price movements across a specified group of stocks into one published number. Its provider sets rules for membership, weighting and maintenance. The S&P 500, for example, is a stock market index; an index is not itself a stock or an order you can place.

An index level, such as 1,000 points, has no standalone dollar value. The percentage change in that level tells you how the index moved over a period. The stocks represented and their weights determine what that change means. Some indexes focus on a country or region; others focus on a particular segment of the market.

The quoted version also matters. A **price-return index** reflects price changes but not reinvested dividends. A **total-return index** incorporates dividends under its stated calculation rules. Two versions covering the same stocks can therefore report different returns.

## How it is calculated

There is no single formula for every stock market index. For a simplified, fixed-constituent **market-cap-weighted price index**, the calculation is:

`Index level = (Σ (P_i × S_i × F_i) / D)`

- `Σ` means add the values for all constituent stocks.
- `P_i` is stock `i`'s price, in currency per share.
- `S_i` is stock `i`'s shares outstanding, in shares.
- `F_i` is its eligible-float fraction, from 0 to 1. Set it to 1 if the example uses all outstanding shares.
- `D` is the index divisor, in currency units; dividing by it gives a dimensionless index level conventionally reported in points.

`P_i × S_i × F_i` is the stock's eligible market value, in currency units. Index providers may adjust the divisor when constituents or share counts change so those events do not create an artificial jump in the level. Other indexes use different rules: an equal-weight index assigns the same starting weight to each stock, while a price-weighted index gives a higher-priced share more influence before divisor adjustments.

For two dates, `Index return (%) = ((Ending level / Starting level) − 1) × 100`. Use levels from the same index version and a consistent currency basis.

## Worked example

Consider a **hypothetical** two-stock, market-cap-weighted price index. Both stocks have a float fraction of 1, and the divisor is US$1 million per index point.

1. Stock A has 10 million shares at US$60: its market value is US$600 million.
2. Stock B has 10 million shares at US$40: its market value is US$400 million.
3. Their combined market value is US$1 billion. Dividing by the US$1 million divisor produces a starting index level of **1,000 points**. A contributes 60% of the starting value; B contributes 40%.
4. Suppose A rises 10% to US$66 and B falls 5% to US$38, with no changes to shares, float or divisor. Their new values are US$660 million and US$380 million. The total is US$1.04 billion, so the index ends at **1,040 points**.
5. The price-index return is `(1,040 / 1,000 − 1) × 100 = 4%`. The weighted contributions are `60% × 10% = 6%` and `40% × −5% = −2%`, totaling **4%**.

This calculation excludes dividends, fees and trading costs. Both stocks moved, but the larger initial constituent had more influence.

## Why it matters before you trade

An index provides a reference point for broad market movement, but it does not describe every stock within it. A positive index day can coincide with a decline in a particular constituent or sector. Check the index's membership, weighting and price-versus-total-return version before using its move as context.

Index exposure can also overlap with individual positions or an index fund. Before placing an order, a pre-trade check of stock-specific liquidity, expected execution costs and portfolio concentration addresses questions an index level cannot answer. An index return is not an estimate of the price at which an individual order will fill.

## How PreTrAIde uses it

The product facts do not identify index levels or index returns as inputs to PreTrAIde. Its pre-trade analysis instead evaluates a user-built stock basket before an order is placed. It uses stock-level market data, news and analyst ratings alongside quantitative estimates such as spread, market impact, volatility and liquidity, plus portfolio breakdowns and concentration. The resulting GO, NO-GO or MODIFY verdicts are decision support, not recommendations. Users place any trades themselves through their own broker.

## Common mistakes

- **Treating points as dollars:** A 40-point move has different percentage significance at 1,000 points than at 4,000 points.
- **Assuming the index represents every stock:** Coverage and weighting rules limit what its return describes.
- **Mixing return types:** A price-return series and a total-return series are not interchangeable.
- **Ignoring constituent weight:** In a market-cap-weighted index, large constituents can dominate a day's move.
- **Confusing an index with an investment:** An index is a calculation; a fund that tracks it has its own holdings, costs and tracking differences.

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Source: https://pretraide.com/glossary/stock-market-index
