weather derivitives presentation 2009
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Weather DerivativesTroy Houston
Bob ReavyMatt Schreurs
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Weather DerivativesFinancial instruments used to reduce risksassociated with adverse weather conditions
Weather Risks involve uncertainty in cashflows caused by weather events: ± Temperature, Rainfall, Snowfall, Frost,
Hurricanes, etc.
Nearly 1/3 of U.S. economy is directlyaffected by weather
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History1996 - First weather derivative deal was in July between AquilaEnergy and Consolidated Edison Co. ± ConEd purchased electric power from Aquila for the month of August ± Weather clause was embedded into the contract
± Aquila would pay ConEd a rebate if August was cooler than expected
1997 - Derivatives began trading over-the-counter
1999 - Chicago Mercantile Exchange introduced the first exchange-
traded weather futures contracts (and corresponding options)
Currently - CME trades weather derivative contracts based ontemperature, hurricanes, frost, and snowfall
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History of Volume Traded
March 2008 - over 436,000 contracts valued at over 20 BillionThe number of contracts has been trending upward
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Users of Weather DerivativesRisk Holder Weather Risk Specific Risk
Energy Companies Temperature Lower sales duringwarmer winters & cooler summers
ConstructionCompanies
Temperature/Snowfall/Rain Lower sales ±when theycan¶t work
Ski Resorts Snowfall Lower sales with lesssnowfall
Agricultural Temperature/Snowfall/Rain Crop losses due toextreme temperatures
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Temperature Derivatives
Heating Degree Days (HDDs) ± Cumulative amount by which the avg. daily
temperature is below 65 F. ± Energy is needed to heat
Cooling Degree Days (CDDs) ± Daily temperature is above 65 F ± Energy is need to cool
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Temperature ContractsContract Size: $20 times CDD/HDD index
CDD months: Apr, May, June, July, Aug, Sep, Oct.
HDD months: Oct, Nov, Dec, Jan, Feb, Mar, Apr
Cash Settlement
Location: 24 US cities
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Measuring Index Values
HDD
Monthly Index ± Sum of daily HDDs
D ay Hi Low Avg. H DD
Monday 54 34 44 21
Tues. 52 37 45 20
Wed. 61 30 46 19
Thurs. 45 29 37 28
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Example 1 ± Short Position
Chicago Utility company wants to hedge amild July
July CDD Index for Chicago= 800Risk = $1,000 every degree changeHedge: Sell 50 CDD futures (1,000/20)
Scenario 1: July is mild, CDD = 700:Scenario 2: July is hot, CDD = 900:
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Scenario 1
July is mild, CDD=700 ± Revenues down
100 x -$1,000 = -$100,000
± Gain on Futures:100 x $20 = $2,000/contract$2,000 x 50 contracts = $100,000
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Scenario 2
July is hot, CDD = 900 ± Revenues increase
100 x $1,000 = $100,000
± Loss on Futures-100 x $20 = -$2,000/contract-$2,000 x 50 contracts = -$100,000
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Standardized Risks
Spatial Risk ± Reference Weather Index may differ from
location of interest ± Ex: Bloomington farmer
Technological Risk ± Relationship between weather and volume ± May or may not be linear
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Other Types of Wx Derivitives
Hurricanes ± Hurricane ± Hurricane Seasonal ± Hurricane Seasonal MaximumSnowfall ± Snowfall Monthly ± Snowfall Seasonal
Frost ± Frost Monthly ± Frost Seasonal
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Hurricane DerivativesAvailable for US Hurricane Season ± Season runs from Jan 1 to December 31
± Landfall = Texas to Maine ± ³Cat-in-the-Box´ = Oil fields in GoM
Contracts available ± Events ± Seasonal ± Seasonal Maximum
Hurricane futures are binary contracts
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What are Binary Contracts?Binary contracts are contracts with only
two outcomes
± $Big Money$ ± Zero
If contract crosses threshold it pays out,otherwise it pays nothing ± Contract price = (expected likelihood of event)
X (payout if event occurs)
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Hurricane Derivatives
(Continued)Events ± CHI value of one particular named hurricane
that occur during the season
Seasonal ± Total CHI value of all named hurricanes that
occur in specific region during the season
Seasonal Maximum ± CHI value of the strongest hurricane that
occurs in region
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Hurricane Derivatives
(Continued)Regions include ± Gulf Coast
± Florida ± South Atlantic Coast ± Northern Atlantic Coast ± Cat-In-A-Box (Oil Fields)
Contracts-$1,000Settlement-CME Hurricane Index
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Hurricane Derivatives-Example
Problem: Oil Co needs to protect Gulf of Mexico (GOM) oil rigs
Risk: Hurricane damage to oil rigsSolution: ± Purchase Seasonal Maximum contract
Number of contracts (Value of potentialrevenue loss due to damage to Rig/1K)
Contract index number based onvulnerability of oil rig
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Hurricane Derivatives-ExampleIndex Number ± Ranges from 1-30 ± Katrina was a 20.4
Oil Co buys index number thatcorresponded to lost income due to thedestruction of the rig
Outcome(s): ± Hurricane destroys rig = binary payday ± No hurricane or smaller ones = rig is still intact
and no lost revenue
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Hurricane Derivatives-
ParticipantsHedgers ± Insurance Companies
± Oil Companies ± Tourist Destinations ± Commercial Property Owners
Speculators
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Snowfall DerivativesAvailable for the following cities: ± New York LaGuardia Airport ± Chicago O'Hare International Airport ± Minneapolis/St. Paul Airport
± Detroit Metro Airport ± New York Central Park ± Boston Logan International Airport
Contracts for individual months or entire season
Monthly contracts run from November through April but trades throughout the year Contracts- $500 per inchSettlement- CME Snowfall Index
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Snowfall Derivatives
(Continued)All contracts are settled in cashMaximum position is 10,000 contracts
Options are also available
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Snowfall Derivatives-
ParticipantsHedgers ± City Governments
± Ski Resorts ± Rock Salt Companies ± Airlines?
Speculators
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Ex: SnowfallSki Resort has risk of low snowfallSolution: Buy Snowfall put optionScenario 1: Snow fall is lower than strikepriceThe put option increases in value, butlower snowfall reduces ski resort¶srevenuesScenario 2: Snow fall is above strike priceThe put option is worthless, but resortdoesn¶t lose customers due to level of
snowfall
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Frost Derivatives
Only traded for one city: Amsterdam-Schiphol, Netherlands
Traded in EurosContract Size: 10,000 Euros times CMEFrost Index
Months available: November - February
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Frost Derivatives-ParticipantsCrazy Europeans (No offense intended Dr. Bouriaux)
Hedgers
Speculators
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2008 CME Group Survey of CFO¶s
21% say their company is ³highly exposed´ to Wx volatilityAnother 38% are ³very exposed´35% of energy companies have used vs. 10% for other industries51% say their company is not prepared to cope with Wx volatilityOver 50% have not even tried to determine Wx risk exposure eventhough they hedge against interest rate, currency, and commodityrisk; about the same number contend it wouldn¶t matter if they didsince Wx risk can¶t be managedOf the companies that have used them, 86% say they were usefuland 72% will use again
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Other Uses (Examples)
2007 retailers blamed weather for poor earning
Airlines losing sales due to lack of accessto airports. Heavy rainfall in TX in 2007caused on airline to lose 100 million inrevenueHeavy snowfall in Northeast last year. Itcost NYC $1 million per inch to removesnow in direct costs.
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Pricing Models/Techniques
OverviewSimple Gaussian Model
Brownian MotionBlack-ScholesBurn Analysis
Monte Carlo Simulations
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Before We Get Too Carried Away...
No single pricing approach defined as theµstandard¶ for Wx derivatives
Many accepted approaches exist, groupedinto two categories: ± Statistical ± mainly forward looking. ± Historical ± ³History Repeats´, use the past to
predict the future.
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Simple Gaussian Model
dr = a(i)*(b(i)-r) dt + v(i) dzWhere
r is the current day¶s temperature
dr is the instantaneous change in r dt is an infinitesimally small unit of timeb(i) is the mean temperature on day ia(i) is the speed of mean reversion on day iv(i) is the volatility on day idz is a Weiner process based on a normal distribution with a mean of zeroand a standard deviation of 1a(i) is allowed to change over time due to the seasonality of weather
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Brownian Motion
Alone, Brownian Motions do not determinethe price of Wx derivativesBrownian Motions are among the simpleststochastic processesStochastic processes are a mathmaticalway of introducing ³randomness´ to an
equationAre often used in conjunction with other models
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Black-Scholes««.or not.Main assumption of Black-Scholes, the µrandom walk¶, is
often not present in Wx Derivatives. ± Temperatures in certain locales are subject to relative limits ± Assets (think stocks) can be priced anywhere from $0 to infinity
More often, mean-reversion takes place as temperaturesusually float around an average.Payoff ± Black-Scholes option payoff is determined by the underlying
asset¶s value at maturity. ± Wx Derivatives are often referred to as µAsian¶ or average price
options. Payoffs are often capped as well.
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Burn Analysis
Used to determine if a position taken todaywould have yielded a profit historically.
Makes a strong assumption that pastevents/results will repeat themselves.Used with HDD and CDD as historicaltemperatures are easily retrieved.
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Monte Carlo Simulations
Run a series of simulations against a statisticallyderived model and determine expected returns.Based on what you¶re simulation, important totake mean-reversion into consideration.Average Return Equation to Solve:
where t represents time and represents theseries of calculation points.
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Pricing Summed Up
No ³magic bullet´ for Wx derivative pricingGenerally, the historical models are
preferred ± May be due, in part, to the fact that theunderlying ³asset´ is an average based onhistory«.
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References
http://www.docstoc.com/docs/34688442/Weather-Derivatives-Pricing-and-Risk
http://www.derivativesstrategy.com/magazine/archive/2000/0300col1.asphttp://www.fea.com/resources/pdf/a_weather_derivatives.pdf http://www.cmegroup.com/trading/weather
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References
Brockett, Patrick, Wong Mulong, &Chuanhou Yang. (2005). Weather Derivatives and Weather RiskManagement. Risk Management and Insurance Review . 8(1), 127-140.Carabello, Felix. Introduction to Weather Derivatives. Investopedia . Retrieved fromhttp://www.investopedia.com/articles/optioninvestor/05/052505.asp
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References
Jones, Travis. (2007). Agricultural Applications of Weather Derivatives.International Business & Economic Research Journal . 6(6).Lennep, David, Teddy Oetomo, MaxwellStevenson, & Andre De Vries. (2004).Weather Derivatives: An Attractive
Additional Asset Class. The Journal of Alternative Investments. 7(2). 65-74.
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References
Manfredo, Mark & Richards, Timothy.(2009). Hedging with Weather Derivatives:
A Role for Options in Reducing BasisRisk. Applied Financial Economics . 19, 87-97.