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Financial Derivatives

Options

Financial contracts that give the holder the right, but not the obligation, to buy or sell an underlying asset at a specific price within a certain time period. Options include calls (right to buy) and puts (right to sell).

Financial Contract
Rights & Obligations
Time Limited

What are Options?

Options are financial derivatives that give traders the right, but not the obligation, to buy or sell an underlying asset at a predetermined price (strike price) within a specific time frame (until expiration). They provide leverage and flexibility while limiting downside risk for buyers.

Options come in two main types: call options (bullish bets giving the right to buy) and put options (bearish bets giving the right to sell). They're used for speculation, hedging, and income generation across stocks, indices, commodities, and currencies.

Options Fundamentals

Key Components

Contract Elements

  • Underlying Asset: Stock, index, commodity, currency
  • Strike Price: Exercise price of the option
  • Expiration Date: When the contract expires
  • Option Type: Call or Put
  • Premium: Price paid for the option

Contract Specifications

  • Contract Size: Usually 100 shares per contract
  • Settlement: Physical delivery or cash settlement
  • Exercise Style: American or European
  • Multiplier: Contract value multiplier
  • Tick Size: Minimum price movement

Call vs Put Options

Call Options

  • Right: Buy underlying at strike price
  • Market View: Bullish (expect price rise)
  • Profit: When underlying strike + premium
  • Max Loss: Premium paid
  • Max Gain: Unlimited (theoretically)

Put Options

  • Right: Sell underlying at strike price
  • Market View: Bearish (expect price fall)
  • Profit: When strike - premium underlying
  • Max Loss: Premium paid
  • Max Gain: Strike price - premium

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The Options Greeks

Risk Sensitivities

The Greeks measure how option prices change in response to various market factors. Understanding these sensitivities is crucial for effective options trading and risk management.

Delta (Δ)

  • Measures: Price sensitivity to underlying
  • Range: 0 to 1 (calls), 0 to -1 (puts)
  • Example: 0.5 delta = $0.50 move per $1 stock move
  • Usage: Hedge ratios, probability estimates

Gamma (Γ)

  • Measures: Rate of change in delta
  • Highest: At-the-money options
  • Impact: Delta acceleration/deceleration
  • Risk: Position delta instability

Theta (Θ)

  • Measures: Time decay rate
  • Impact: Daily value erosion
  • Highest: At-the-money, near expiration
  • Strategy: Sell high theta, buy low theta

Vega (V)

  • Measures: Volatility sensitivity
  • Highest: At-the-money, longer expiration
  • Impact: IV changes affect option value
  • Strategy: Volatility trading opportunities

Fundamental Options Strategies

Long Strategies (Buying Options)

Long Call

  • Strategy: Buy call option
  • Market View: Bullish
  • Max Risk: Premium paid
  • Max Reward: Unlimited
  • Breakeven: Strike + Premium

Long Put

  • Strategy: Buy put option
  • Market View: Bearish
  • Max Risk: Premium paid
  • Max Reward: Strike - Premium
  • Breakeven: Strike - Premium

Short Strategies (Selling Options)

Covered Call

  • Strategy: Own stock + sell call
  • Market View: Neutral to slightly bullish
  • Income: Collect premium
  • Risk: Limited upside if called away
  • Use: Generate income on holdings

Cash-Secured Put

  • Strategy: Sell put + hold cash
  • Market View: Neutral to bullish
  • Income: Collect premium
  • Risk: May have to buy stock
  • Use: Get paid to wait for entry

Advanced Strategies

Spreads

  • Vertical: Same expiration, different strikes
  • Horizontal: Same strike, different expirations
  • Diagonal: Different strikes and expirations
  • Benefit: Reduced cost and risk

Straddles & Strangles

  • Straddle: Same strike call and put
  • Strangle: Different strike call and put
  • Use: Volatility plays
  • Profit: From large price moves

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Options Pricing Factors

Intrinsic vs Time Value

Intrinsic Value

  • Definition: Real, tangible value
  • Calls: Stock price - Strike (if positive)
  • Puts: Strike - Stock price (if positive)
  • Minimum: Cannot be negative

Time Value (Extrinsic)

  • Definition: Premium above intrinsic value
  • Factors: Time, volatility, interest rates
  • Decay: Decreases as expiration approaches
  • Maximum: At-the-money options

Black-Scholes Pricing Model

Key Inputs:

  • Stock Price (S): Current underlying price
  • Strike Price (K): Exercise price
  • Time to Expiration (T): Remaining time
  • Risk-Free Rate (r): Interest rate
  • Volatility (σ): Expected price volatility
  • Dividends (D): Expected dividend payments
Model Assumptions:
  • • Constant volatility and interest rates
  • • Log-normal distribution of stock prices
  • • No dividends during option life
  • • European-style exercise only

Options Risk Management

Key Risks

Time Decay Risk

  • • Options lose value as expiration approaches
  • • Accelerates in final weeks
  • • Affects long positions negatively
  • • Benefits short positions

Volatility Risk

  • • Changes in implied volatility affect prices
  • • Volatility crush after events
  • • High vega exposure can be dangerous
  • • Monitor VIX and IV percentiles

Risk Management Techniques

Position Sizing

  • • Never risk more than you can afford to lose
  • • Limit single position to 2-5% of portfolio
  • • Consider maximum loss scenarios
  • • Diversify across strategies and timeframes

Exit Strategies

  • • Set profit targets (25-50% of max profit)
  • • Cut losses at 50% of premium paid
  • • Don't hold to expiration unless ITM
  • • Roll positions when beneficial

Advantages vs. Disadvantages

Advantages

  • Leverage

    Control large positions with smaller capital

  • Limited Risk

    Buyers' maximum loss is premium paid

  • Versatility

    Profit from any market direction or volatility

  • Hedging Tool

    Protect existing positions from adverse moves

Disadvantages

  • Time Decay

    Options are wasting assets that expire

  • Complexity

    Multiple variables affect pricing

  • Liquidity Risk

    Some options have wide bid-ask spreads

  • Assignment Risk

    Option sellers may be assigned unexpectedly

Options Trading Best Practices

For Beginners

Start Simple

  • • Begin with buying calls and puts
  • • Trade liquid options on major stocks/ETFs
  • • Use paper trading to practice
  • • Focus on learning one strategy at a time

Education First

  • • Understand the Greeks thoroughly
  • • Learn about implied volatility
  • • Study different strategy payoffs
  • • Read options disclosure documents

Advanced Considerations

Market Analysis

  • • Monitor implied volatility percentiles
  • • Track earnings calendars and events
  • • Understand term structure curves
  • • Watch for volatility skew patterns

Portfolio Management

  • • Monitor overall portfolio Greeks
  • • Diversify across different strategies
  • • Keep detailed trading records
  • • Regular profit/loss reviews

Key Takeaways

Flexible Instruments: Options provide rights without obligations, allowing for sophisticated trading strategies across market conditions.

Risk and Reward: Leverage amplifies both potential gains and losses, requiring careful risk management.

Greeks Matter: Understanding Delta, Gamma, Theta, and Vega is crucial for successful options trading.

Education Essential: Options complexity demands thorough understanding before committing significant capital.

Master Options Trading

Explore advanced strategies, Greeks analysis, and risk management techniques

Related Trading Concepts

Options Trading Risk Disclaimer

Options trading involves substantial risk of loss and is not suitable for all investors. Options are complex financial instruments that can expire worthless, resulting in total loss of premium paid. The leverage inherent in options can amplify both gains and losses. Options sellers face unlimited risk potential. Past performance does not guarantee future results. Before trading options, investors should read the "Characteristics and Risks of Standardized Options" disclosure document. Never invest more than you can afford to lose and consider consulting with qualified financial professionals before implementing any options strategy.