Notes for NISM 8 Equity Derivatives Exam 2025 – Chapter 2: Understanding the Index

Introduction to an Index : 

  • Definition of an Index: A statistical indicator measuring changes in the economy or specific sectors. 
  • Financial Market Index: Represents a portfolio of securities for a market or market segment. 
  • Calculation Methodology: Each index uses unique methods and reflects changes from a base value, which can vary from recent days to years ago. 
  • Key Focus: Percentage change is more significant than the numeric value. 
  • Purpose of Financial Indices: Tracks price movements of stocks, bonds, T-bills, and other financial securities. 
  • Stock Index Function: Provides market participants with insights into average share price movements. 
  • Broad Indices Role: Captures overall equity market behavior and reflects typical portfolio returns. 

Significance of the stock index: 

  • A stock index reflects market or sector performance. 
  • It benchmarks portfolio performance for evaluation. 
  • It serves as the basis for derivatives in OTC and exchange-traded markets. 

Types of Stock Market Indices : 

  • Stock Market Indices Types
  • Market Capitalization Weighted Index: Stocks weighted by market capitalization. Example: Sensex, Nifty. 
  • Free-Float Market Capitalization Index: Based on shares available for trading, e.g., Sensex, Nifty, SX40. 
  • Price-Weighted Index: Weights determined by stock prices, e.g., Dow Jones, Nikkei 225. 
  • Equal Weighted Index: All stocks carry the same weight; adjustments required for price changes. 
  • Market Capitalization Calculation
  • Example calculation: Market cap = Outstanding shares × Current price. 
  • Index value formula: New Index Value=(Current Market Cap/Base Market Cap)×100\text{New Index Value} = (\text{Current Market Cap} / \text{Base Market Cap}) \times 100New Index Value=(Current Market Cap/Base Market Cap)×100. 
  • Price-Weighted Index
  • Index based on stock price averages. Example: Price Index=Sum of PricesNo. of Stocks\text{Price Index} = \frac{\text{Sum of Prices}}{\text{No. of Stocks}}Price Index=No. of StocksSum of Prices . 
  • Equal Weighted Index Example
  • Stocks weighted equally. 
  • Changes require rebalancing to maintain weights. 
  • Significance of Indices
  • They measure market performance, guide investors, and benchmark portfolios. 

Attributes of an Index : 

  • Attributes of a Good Market Index
  • Reflects market behavior. 
  • Computed by an independent third party, free from market participant influence. 
  • Professionally maintained. 
  • Liquidity in Stock Markets
  • Liquidity allows large orders to be executed without significantly moving prices. 
  • Bid-Ask Spread
  • The difference between the best buy price and the best sell price. 
  • Acts as a transaction cost for small trades. 
  • Impact of Order Size on Transaction Cost
  • Larger orders increase transaction costs compared to smaller orders due to hitting multiple price levels. 
  • Impact Cost
  • Defined as the percentage deviation from the ideal price when trading. 
  • Calculated based on the degradation in price relative to the ideal price, varying with transaction size and buy/sell sides. 

Index management : 

  • Index Management Agencies 
  • BSE indices: Managed by Asia Index Pvt Ltd. 
  • NSE indices: Managed by NSE Indices Limited. 
  • Index Construction 
  • Involves selecting index stocks and determining the calculation methodology. 
  • Balances diversification and liquidity to reflect market/economy behavior. 
  • Risk reduction is significant up to 50 stocks but minimal beyond 100 stocks. 
  • Stocks are chosen based on pre-determined criteria by the Index Committee. 
  • Index Maintenance 
  • Adjusts for corporate actions like stock splits, bonuses, mergers, etc., to ensure comparability over time. 
  • Index Revision 
  • Involves replacing stocks to capture the most active and relevant securities, ensuring the index reflects market dynamics. 
  • Utilizes mathematical formulas for consistent updates. 

Major Indices in India : 

S&P BSE Indices Nifty Indices SX 40 
S&P BSE Sensex Nifty 50  
S&P BSE Sensex Next 50 Nifty Next 50  
S&P BSE 100 Nifty 100  
S&P BSE 200 Nifty 200  
S&P BSE 500 Nifty 500  

Application of Indices : 

  • Traditional Use of Indices: Initially used to gauge the overall stock market direction. 
  • Index Funds
  • Invest in specific indices to mirror their returns. 
  • Proportions of investments align with index components. 
  • Examples: Sensex Index Fund and Nifty Index Fund. 
  • Returns are adjusted for tracking errors from fund management costs and redemptions. 
  • Index Derivatives
  • Include Index Options and Index Futures. 
  • Serve as tools to hedge market risk. 
  • Exchange-Traded Funds (ETFs)
  • A basket of securities traded like individual stocks on exchanges. 
  • Allow intraday transactions and cost-effective trading. 

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