Lesson 6 of 10

# How are major stock indices calculated?

Most major indices are either calculated using a capitalization-weighted or a price-weighted system.

### Capitalization-weighted system

Used by the majority of stock indices, this system takes the size of each company into account when calculating the value of the index as a whole. So, the more a particular company is worth, the more its equity price will affect the index.

You can tell how much a particular company is worth by multiplying its equity price by the number of shares issued. This is called its market capitalization.

The S&P 500 is calculated using this method. So if, for example, Apple is valued at twice the size of Amazon - any change to Apple's equity price will have twice as large an effect on the S&P 500 as a similar change for Amazon.

Other indices using this system include the S&P 500, NASDAQ-100, Hang Seng, CAC 40, IBEX 35 and ASX 200.

### Price-weighted system

This method is based on the actual equity price of the companies in the index, rather than their overall size.

The higher the equity price, the more influence that company has on the value of the index. For example, a stock trading at \$100 would have five times more clout than one trading at just \$20.

The only two major indices that use this system are the Dow Jones Industrial Average and Nikkei 225.

## Question

The ABC index is capitalization-weighted and represents the total value of the following three stocks:
• Company A has an equity price of \$1 with 10 shares issued
• Company B has an equity price of \$2 with 20 shares issued
• Company C has an equity price of \$5 with 50 shares issued.
What is the value of the ABC index in dollars?

Correct

Incorrect

Value of ABC index
= (1 x \$10) + (2 x \$20) + (5 x \$50)
= \$10 + \$40 + \$250
= \$300

# How do you trade stock indices?

Since indices are effectively just numbers, you can't buy or sell them directly. There's no asset to own and nothing to exchange. Therefore, to trade on the price of an index, you need to choose a product that mirrors its performance. There are several that do this:

### Index fund

A specialised investment fund that attempts to replicate the movements of a particular stock index. You can invest in index funds through a fund manager.