Chapter 4: Application of Futures Contracts (Part 2) — Hedging Strategies & Portfolio Risk Management
Executive Summary & Overview of Part 2
This document represents Part 2 of the short notes for Chapter 4: Application of Futures Contracts based on the NCFM Derivatives Market (Dealers) Module Workbook. While Part 1 examined Beta (\(\beta\)), speculation, and arbitrage strategies, Part 2 covers Section 4.3: Hedging Using Stock Index Futures and Stock Futures.
Section 4.3: Portfolio Risk Classification & Hedging Fundamentals
1. Types of Market Risk
In equity investments, overall risk is divided into two distinct categories:
| Risk Type | Nature | Diversification | Risk Management |
|---|---|---|---|
| Unsystematic Risk | Company-specific or industry-specific risk | Can be reduced through diversification across stocks and sectors | Portfolio diversification |
| Systematic Risk | Overall market risk affecting most securities | Cannot be eliminated through diversification alone | Hedging using derivatives such as index and stock futures |
A. Unsystematic Risk (Company-Specific / Diversifiable Risk)
- Definition: Risk associated with a specific company or sector.
- Examples: Changes in government policy affecting a specific industry (e.g., steel policy), product launches, factory closures, or company-specific earnings news.
- Mitigation: Can be minimized or eliminated by constructing a well-diversified portfolio across different companies and industries.
B. Systematic Risk (Market Risk / Non-Diversifiable Risk)
- Definition: Risk associated with macroeconomic factors affecting the overall stock market.
- Examples: Union budget announcements, changes in tax structures/rates, interest rate revisions, or political changes.
- Mitigation: Cannot be reduced through stock diversification alone. When the overall market index (e.g., Nifty 50) drops, most stocks tend to fall in value.
- Role of Futures: Hedging using Stock Index Futures or Single Stock Futures allows investors to reduce systematic market risk without liquidating their underlying physical holdings.
Section 4.3.1: Hedging Portfolio Exposure by Selling Index Futures
1. Strategy Concept & Formula
When an investor holds shares or a diversified portfolio and anticipates a market decline, they can protect the portfolio value by taking a short position in Stock Index Futures (e.g., Nifty March Futures).
Because different stocks move at different sensitivities relative to the market, the total value of index futures required to achieve a hedge depends on the portfolio's Beta (\(\beta\)).
Simple Line Formulas
- Required Futures Hedge Value = Portfolio Value * Portfolio Beta
- Number of Index Futures Units to Sell = Required Futures Hedge Value / Spot Index Level
- Net Portfolio Value after Market Fall = Depreciated Spot Value + Short Futures Profit
2. Detailed Numerical Illustration: Hedging HLL Shares with Nifty March Futures
Initial Position & Market Parameters (as on March 12, 2010)
- Stock Owned: 3,100 shares of Hindustan Lever Limited (HLL).
- Spot Price of HLL: Rs. 290 per share.
- Portfolio Value: 3,100 shares * Rs. 290 = Rs. 8,99,000 (Approx. Rs. 9,00,000).
- Nifty Spot Index Level: 4100.
- March Nifty Futures Price: Rs. 4,110.
- Beta of HLL (\(\beta\)): 1.13.
Step 1: Calculating the Short Futures Hedge Requirement
- Required Futures Hedge Value = Rs. 9,00,000 * 1.13 = Rs. 10,17,000
- Number of Nifty Futures to Sell = Rs. 10,17,000 / 4100 = 250 Nifty Futures units
Step 2: Market Decline Outcome (as on March 19, 2010)
One week later, the overall market drops as feared:
- HLL Spot Price Drops to: Rs. 275 (Price drop of Rs. 290 - Rs. 275 = Rs. 15 per share).
- March Nifty Futures Drops to: Rs. 3,915 (Futures price drop of Rs. 4,110 - Rs. 3,915 = Rs. 195 per unit).
Step 3: Gain/Loss Analysis & Net Portfolio Calculation
| Position Component | Initial Value | Final Value | Gain / Loss Calculation | Net Impact |
|---|---|---|---|---|
| Spot Shares (HLL) | Rs. 9,00,000 | Rs. 8,53,500 | Loss = 3,100 shares * Rs. 15 | -Rs. 46,500 Loss |
| Short Nifty Futures | Sold @ Rs. 4,110 | Closed @ Rs. 3,915 | Profit = 250 units * Rs. 195 | +Rs. 48,750 Profit |
| Net Portfolio Position | Rs. 9,00,000 | Rs. 9,02,250 | Net Value = Rs. 8,53,500 + Rs. 48,750 | +Rs. 2,250 Net Protection |
Key Conclusions on Index Hedging
- Loss Prevention: Without Nifty futures, the investor would have suffered a loss of Rs. 46,500.
- Holding Continuity: Helps the investor continue holding underlying shares while managing intermittent losses.
- Broad Application: Can be implemented by anyone with exposure to an underlying asset class.
- Risk Warning: Hedging involves costs, and the outcome may not always be favourable if prices move in the reverse direction.
Section 4.3.2: Hedging Single Stock Positions using Stock Futures
1. Strategy Concept
An investor holding shares in a single specific company (e.g., Infosys) who fears a market fall can hedge the stock risk directly by selling stock futures of the same company.
2. Detailed Numerical Illustration: Hedging Infosys Shares with Infosys Stock Futures
Initial Position & Market Parameters (as on March 12, 2010)
- Stock Owned: 2,000 shares of Infosys.
- Spot Price of Infosys: Rs. 390 per share.
- Portfolio Value: 2,000 shares * Rs. 390 = Rs. 7,80,000.
- Infosys Near-Month Stock Futures Price: Rs. 402.
- Hedging Action: Sell 2,000 Infosys Stock Futures at Rs. 402.
Expiration Day Scenario
At contract expiration, Infosys spot price falls sharply to Rs. 300.
Profit & Loss Breakdown
| Market Position | Entry Price | Price at Expiry | Gain / Loss Formula | Net Cash Flow |
|---|---|---|---|---|
| Spot Shares (Long) | Bought @ Rs. 390 | Closes @ Rs. 300 | (300 - 390) * 2,000 shares | -Rs. 1,80,000 Loss |
| Stock Futures (Short) | Sold @ Rs. 402 | Converges @ Rs. 300 | (402 - 300) * 2,000 futures | +Rs. 2,04,000 Profit |
| Net Portfolio Value | Rs. 7,80,000 | Rs. 8,04,000 | Rs. 6,00,000 Spot + Rs. 2,04,000 Futures | +Rs. 24,000 Gain |
Key Takeaway
- The spot portfolio value reduced from Rs. 7,80,000 to Rs. 6,00,000.
- The short futures position generated Rs. 2,04,000 in profit.
- The total portfolio value became Rs. 8,04,000, fully protecting the investor from downside loss.
Comparative Matrix: Index Futures Hedging vs. Single Stock Futures Hedging
| Feature / Metric | Hedging via Index Futures (4.3.1) | Hedging via Single Stock Futures (4.3.2) |
|---|---|---|
| Target Risk Managed | Systematic / Market Risk (Overall Index Fall) | Company-Specific / Stock Risk |
| Position Alignment | Long Stock Portfolio + Short Index Futures | Long Individual Stock + Short Stock Futures |
| Role of Beta (\(\beta\)) | Required to adjust short position size | Not Required: Direct 1-to-1 stock quantity hedge |
| Hedge Value Formula | Required Hedge Value = Portfolio Value * Beta | Number of Futures = Number of Shares Held |
| Primary Advantage | Cost-effective hedging for diversified stock portfolios | Eliminates downside risk for specific single stock holdings |
Chapter 4 Key Terminology & Exam Formulas (Parts 1 & 2 Combined)
Important Definitions
- Unsystematic Risk: Company-specific or diversifiable risk that can be reduced through diversification.
- Systematic Risk: Market-wide or non-diversifiable risk that cannot be reduced through diversification alone.
- Beta (\(\beta\)): A measure of sensitivity or responsiveness of a stock or portfolio's return to market index movements.
- Hedging: Taking an offsetting derivative position to minimize price risk on underlying assets.
- Cost of Carry: The financing cost minus income (dividends) earned on holding an asset.
Simple Line Formulas (Exam Reference)
| Concept | Linear Formula |
|---|---|
| Portfolio Beta | Portfolio Beta = Sum of (Weight of Security × Beta of Security) |
| Percentage Change in Stock | Percentage Change in Stock = Beta × Percentage Change in Market Index |
| Required Index Futures Hedge Value | Required Index Futures Hedge Value = Portfolio Value × Beta |
| Number of Index Futures | Number of Index Futures = Required Hedge Value / (Spot Index Level × Futures Contract Multiplier) |
| Short Futures Profit or Loss | Short Futures Profit or Loss = (Futures Entry Price − Futures Exit Price) × Number of Contracts × Contract Multiplier |