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INTRODUCTION TO NYMEX ENERGY OPTIONS Michael Korn mkorn@nymex

INTRODUCTION TO NYMEX ENERGY OPTIONS Michael Korn mkorn@nymex.com. GROWTH OF NYMEX OPTIONS. Option Contract Starting Date Volume 1999 Crude 11/14/86 8.16 million Heat 6/26/87 .69 Unleaded Gas 3/13/89 .60 Natural Gas 10/02/92 3.85.

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INTRODUCTION TO NYMEX ENERGY OPTIONS Michael Korn mkorn@nymex

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  1. INTRODUCTION TO NYMEX ENERGY OPTIONSMichael Kornmkorn@nymex.com

  2. GROWTH OF NYMEX OPTIONS Option Contract Starting Date Volume 1999 Crude 11/14/86 8.16 million Heat 6/26/87 .69 Unleaded Gas 3/13/89 .60 Natural Gas 10/02/92 3.85

  3. WHY OPTIONS • Risk/Reward Defined • Protection for Adverse Price Trends • Participation in Favorable Price Trends

  4. New York Mercantile Exchange Doing business for over 128 years

  5. ODDS • What are the odds that crude prices will trade $7 lower in the next 90 days? • What are the odds crude will trade in a $5 range over the next 40 days? • What is the probability crude will move $3 higher over the next 5 days?

  6. OPTION FUNDAMENTALS Options: Volatility Price Time

  7. OPTION FUNDAMENTALS Motion in markets: Volatility is the distance price travels over time. (speed = distance over time)

  8. Topics • What makes Options Tick • Put - Call Parity • Volatility: Central Tendency, Standard Deviation and Tail • Price Models • Role of Market Makers Option Pit Tour (2:30 to 3:15) • Strategies • Option Characteristics • Price Curves: Skew and Volatility Term Structures • Calendar Spread Options (an Introduction)

  9. OPTION FUNDAMENTALS What are Options?

  10. BUYING OPTIONS: • Paying Premium for the Right to Participate.

  11. BUYING CALLS • Buying the Right to go Long Futures at a Predetermined Price.

  12. BUYINGPUTS • Buying the Right to go Short Futures at a Predetermined Price.

  13. BUYING CALLS Example: On March 6, 2000: • NYMEX WTI (May Delivery) = $30.02 • NYMEX WTI $32 Call = $.65 • Expiration Date is April 14, 2000

  14. NYMEX CRUDE OPTIONS Strike Price = .50 Intervals • 29.00 • 29.50 • 30.00 • 30.50 • 31.00 • 31.50

  15. LONG CALL Payoff E = Strike px St = Asset px at expiration 0 St E Asset Price

  16. LONG PUT Payoff E=Strike px St= Asset px at expiration 0 St E Asset Price

  17. SELLING OPTIONS: Selling the Right to the Buyer Collecting Premium

  18. SHORT CALL Payoff E =Strike px St =Asset px at expiration 0 St E Asset Price

  19. SHORT PUT Payoff E = Strike px St = Asset px at expiration E St 0 Asset Price

  20. MONEYNESS: Out-of-the-Money At-the-Money In-the-Money Relationship Between Option’s Strike Price and Price of Underlying Commodity

  21. MONEYNESS Premium: Intrinsic = How much in the money. Extrinsic = How much out of the money (time premium).

  22. PUT - CALL PARITY • The Extrinsic Value of Put and Call are Equal when they are the Same Strike and Same Expiration Date.

  23. ODDS • What are the Odds that Crude Prices will Trade $2 Higher in the next 5 Days? • What are the Odds Crude Prices Will Trade in a $4 Range During the Next 20 Days?

  24. THE FACTORS DETERMINING THE ODDS: • Price of Underlying • Strike Price • Volatility • Time

  25. MOTION • Delta • Time • Volatility Volatility Price Time

  26. DELTA Futures Price, Strike Price Relationship • Definition: How much the option premium is expected to move on a change in the futures price.

  27. DELTA Out $ At $ In $ 1.0 0 .5

  28. DELTA (+) (-) Long Call Long Puts Short Puts Short Calls

  29. GAMMA • Definition: How much the option’s delta is expected to move on a change in futures price.

  30. TIME • Days to Expiration.

  31. EXPIRATION American Versus European

  32. Time Decay atm Premium itm otm 0 Passage of time

  33. Volatility • Intuitive Understanding: • Precise Definition: The annualized standard deviation of returns.

  34. PROBABILITY Probability Distributions: The distribution of random variables.

  35. PROBABILITY mean .0214 .0214 .1359 .3413 .3413 .1359 -3 -2 -1 0 +1 +2 +3 Frequency Distribution

  36. PROBABILITY More About Volatility.

  37. PROBABILITY Measurements of Central Tendency: Mean Median Mode Prices tend to “cluster around the middle”.

  38. PROBABILITY Measurements of Variability: CL = $/bbl A B 30.75 31.50 30.30 31.00 30.00 30.00 29.70 29.00 29.25 28.50 Time Period B has Greater Variation than A Average Price for Both Time Periods: $30.00 .

  39. PROBABILITY Measures of Variability: • Range • Deviation • Variance • Standard Deviation

  40. PROBABILITY Range: The difference between the largest and smallest values.

  41. PROBABILITY Deviation: The distance of measurements away from the mean.

  42. PROBABILITY Variance: The sum of the squared deviations of Nmeasurements from their mean divided by (N - 1).

  43. PROBABILITY Standard Deviation: The positive square root of variance.

  44. PROBABILITY Standard Deviation; The Significance: • The interval from one standard deviation below the mean to one standard above the mean contains approximately 68% of all measurements. • Two standard deviations contain 95% of all measurements. • Three standard deviations contain almost all measurements.

  45. PRICE MODELS Goal: To Assign Values to the Odds.

  46. Price Model Black Scholes: Binomials: Implied Binomial Trees: The Evolution of Option Valuation Models

  47. Price Model Black-Scholes: • Futures Price • StrikePrice • Volatility • Time • Risk Free Rate

  48. PRICE MODEL Black-Scholes Based on this supposition: Option: Asset: + $.50 +$1.00 - $.50 - $1.00 Create hedge position by going short two options and long one asset. Losses in one will be offset by gains in the other.

  49. Price Model Binomial Distribution: 2702 2701 2700 2700 2699 2698

  50. Price Model The Path of Independent, Random Variables:

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