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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 OPTIONSMichael Kornmkorn@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
WHY OPTIONS • Risk/Reward Defined • Protection for Adverse Price Trends • Participation in Favorable Price Trends
New York Mercantile Exchange Doing business for over 128 years
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?
OPTION FUNDAMENTALS Options: Volatility Price Time
OPTION FUNDAMENTALS Motion in markets: Volatility is the distance price travels over time. (speed = distance over time)
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)
OPTION FUNDAMENTALS What are Options?
BUYING OPTIONS: • Paying Premium for the Right to Participate.
BUYING CALLS • Buying the Right to go Long Futures at a Predetermined Price.
BUYINGPUTS • Buying the Right to go Short Futures at a Predetermined Price.
BUYING CALLS Example: On March 6, 2000: • NYMEX WTI (May Delivery) = $30.02 • NYMEX WTI $32 Call = $.65 • Expiration Date is April 14, 2000
NYMEX CRUDE OPTIONS Strike Price = .50 Intervals • 29.00 • 29.50 • 30.00 • 30.50 • 31.00 • 31.50
LONG CALL Payoff E = Strike px St = Asset px at expiration 0 St E Asset Price
LONG PUT Payoff E=Strike px St= Asset px at expiration 0 St E Asset Price
SELLING OPTIONS: Selling the Right to the Buyer Collecting Premium
SHORT CALL Payoff E =Strike px St =Asset px at expiration 0 St E Asset Price
SHORT PUT Payoff E = Strike px St = Asset px at expiration E St 0 Asset Price
MONEYNESS: Out-of-the-Money At-the-Money In-the-Money Relationship Between Option’s Strike Price and Price of Underlying Commodity
MONEYNESS Premium: Intrinsic = How much in the money. Extrinsic = How much out of the money (time premium).
PUT - CALL PARITY • The Extrinsic Value of Put and Call are Equal when they are the Same Strike and Same Expiration Date.
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?
THE FACTORS DETERMINING THE ODDS: • Price of Underlying • Strike Price • Volatility • Time
MOTION • Delta • Time • Volatility Volatility Price Time
DELTA Futures Price, Strike Price Relationship • Definition: How much the option premium is expected to move on a change in the futures price.
DELTA Out $ At $ In $ 1.0 0 .5
DELTA (+) (-) Long Call Long Puts Short Puts Short Calls
GAMMA • Definition: How much the option’s delta is expected to move on a change in futures price.
TIME • Days to Expiration.
EXPIRATION American Versus European
Time Decay atm Premium itm otm 0 Passage of time
Volatility • Intuitive Understanding: • Precise Definition: The annualized standard deviation of returns.
PROBABILITY Probability Distributions: The distribution of random variables.
PROBABILITY mean .0214 .0214 .1359 .3413 .3413 .1359 -3 -2 -1 0 +1 +2 +3 Frequency Distribution
PROBABILITY More About Volatility.
PROBABILITY Measurements of Central Tendency: Mean Median Mode Prices tend to “cluster around the middle”.
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 .
PROBABILITY Measures of Variability: • Range • Deviation • Variance • Standard Deviation
PROBABILITY Range: The difference between the largest and smallest values.
PROBABILITY Deviation: The distance of measurements away from the mean.
PROBABILITY Variance: The sum of the squared deviations of Nmeasurements from their mean divided by (N - 1).
PROBABILITY Standard Deviation: The positive square root of variance.
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.
PRICE MODELS Goal: To Assign Values to the Odds.
Price Model Black Scholes: Binomials: Implied Binomial Trees: The Evolution of Option Valuation Models
Price Model Black-Scholes: • Futures Price • StrikePrice • Volatility • Time • Risk Free Rate
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.
Price Model Binomial Distribution: 2702 2701 2700 2700 2699 2698
Price Model The Path of Independent, Random Variables: