## Security Market

The Three Predominant Weighting Schemes

In constructing stock market series, there are three predominant weighting schemes used:

#### 1. Price Weighted Series

A price weighted series is the average of the stocks' prices in the series. It is calculated by adding together each stock price and dividing the total by the number of stocks in the series.

#### Formula

Price weighted series = Sum of stock prices/# of stocks

T he main problem that occurs with the price weighted series is the effect a price change in a high-priced stock will have on the series, as well as the lack of effect a low-priced stock will have on the series.

Two well-known examples of a price weighted series are the Dow Jones Industrial Average and the Nikkei Dow Jones Stock Average.

#### 2. Market Weighted Series

A market weighted series is the market value (stock price multiplied by shares outstanding) of each company in the series divided by a sum calculated in the base period. This amount is then multiplied by the base value.

#### Formula

Market Weighted Series = Sum of current market values x beginning value/Sum of base market values

Similar to the price weighted series, the major problem with the market weighted series is the effect a market value change in a large market cap stock will have on the series, as well as the lack of effect a small market cap stock will have on the series.

Well-known examples of a market-weighted series are the S&P 500 Index Composite, the New York Stock Exchange Index and the Financial Times Actuaries Share Indexes.

#### 3. Unweighted Series

An unweighted series is based on the average price movement of the stock prices in the index. In this series, all stocks, no matter what the price, have the same effect on the series. To calculate the unweighted series, take an arithmetic average or a geometric mean of the relative returns.

#### Characteristics of Security Indexes