The S&P 500 index’s value is computed by using a free-float market capitalization weighted methodology. This involves measuring the performance of a group of stock as a single number. The methodology involves using the number of outstanding stocks of a company as a multiplier of the company’s current share price or market value.

For instance, let’s assume Bayo wants to compute an index for measuring the average movement in stocks of 5 companies traded on the New York stock exchange, he will compute the index by obtaining the number of outstanding shares for each company and the current market prices. Subsequently, he will compute the product of the variables obtained and sum them up. This will give the total market capitalization. This is illustrated below:

Company | No. of Outstanding shares | Current share price | Market Capitalization | Weight |

a | b | c=a*b | d | |

Fictitious company A | 2,000 | 3.2 | 6,400 | 11.18% |

Fictitious company B | 3,000 | 3.5 | 10,500 | 18.34% |

Fictitious company C | 2,500 | 3.1 | 7,750 | 13.54% |

Fictitious company D | 4,000 | 3.2 | 12,800 | 22.36% |

Fictitious company E | 5,500 | 3.6 | 19,800 | 34.58% |

Σc | 57,250 | 100.00% |

Note: d=

**individual market capitalization/Σc**

The individual weight will show how the individual stock will affect the market index.

The S&P 500 index is calculated as:

Index

Where P

_{i}= Price of each stock in the index

Q

_{i }= Number of shares used in the index

The numerator is the sum of the product of the price of stocks in the index and the quantity of stocks in the index, i.e the market capitalization.

When an equity weighting factor is integrated to the formula, it becomes;

Index Level

Where;

P

_{i}= Price

IWF

_{i }= Equity weighting percentage

References:

Langager, C. (2019, June 29).

*How is the Value of the S&P 500 Calculated?*Investopedia. https://www.investopedia.com/ask/answers/05/sp500calculation.asp#:%7E:text=The%20S%26P%20500%20Deconstructed&text=The%20S%26P%20500%20Index’s%20value,float%20market%20capitalization%20weighted%20methodology.&text=This%20calculation%20takes%20the%20number,share%20price%2C%20or%20market%20value.

S&P Dow Jones Indices. (2020, July).

*Index Mathematics Methodology*. S&P Global.