7. Case Studies (Real-World Applications)
Case Study 1: Portfolio Hedging with Delta
Situation:
An investor wants to reduce risk in a stock portfolio.
Strategy:
- Uses Delta to hedge exposure
Insight:
Delta helps create a balanced (neutral) position.
Case Study 2: Managing Time Decay (Theta)
Situation:
A trader holds options close to expiration.
Outcome:
- Option value decreases rapidly
Insight:
Time decay is a major cost for option buyers.
Case Study 3: Volatility Trading
Situation:
A trader expects market volatility to increase.
Strategy:
- Buys options to benefit from higher Vega
Insight:
Options can be used to trade volatility, not just price direction.
Case Study 4: Volatility Smile in Market Crashes
Situation:
During market stress, demand for downside protection rises.
Outcome:
- Put options become more expensive
- Volatility smile becomes more pronounced
Insight:
Volatility reflects market fear and demand for protection.
8. Key Takeaways
- Greeks measure risk and sensitivity, not just price
- Delta and Gamma manage price movement risk
- Theta highlights time decay
- Vega captures volatility impact
- Volatility smile shows real markets are not perfectly modeled
9. Quick Practice
Scenario:
An option has high Vega and high Theta.
Question:
What market condition would benefit this position?
What risks does the trader face?