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**2. **Table of Contents Weather derivatives overview
Weather derivatives markets
Weather derivatives structure
Pricing weather derivatives

**3. **Weather Derivatives –Usefulness Most industries in the world are directly or indirectly affected by the unexpected weather events
Weather risk affects a great number of businesses all around the world
In fact, a survey has proved that more than 200 major US companies suffered from huge losses due to unexpected weather change events
Weather derivatives have been introduced to the financial market as a protection or insurance against potential losses due to weather changes
Weather derivatives concern not only the energy market but also the tourism, the transportation and the agricultural industry.

**4. **Weather Derivatives – what are they? Financial risk management tools used by companies and enterprises to hedge against the risk of weather changes
they cover the high probability for unexpected events such as a dryer or freezer weather, while an insurance covers the high probability events such as hurricanes...
Purpose:
Stabilize revenues that may be affected by severe change in weather
Control Pricing and Volume Risk
Enhance financial portfolios
Competitive advantage versus the simple insurance:
No moral hazard

**5. **Weather Derivatives – limitations Increasing interest in weather risk management but:
volume of trade in weather derivatives have been growing slowly
Lack of liquidity
The weather derivatives market needs to be more developed and potential research opportunities are needed to be analysed
Capital pricing model assumptions are not realistic for weather-linked financial instruments

**6. **Weather derivatives markets One of the most exposed sector: power industry
730,087 contracts traded worldwide from April 2006 to March 2007
Total value of contracts on temperature in OTC markets and CME: $18.9 billion
Rain: $142 million
Wind: $36 million

**7. **Volume of contracts traded worldwide

**8. **Exchange traded market At the beginning: swaps between companies like Enron & Koch Energy
Two main markets:
Chicago Mercantile Exchange (CME)
London International Financial Futures and Options Exchange (LIFFE)

**9. **CME 10 cities in the US
Reference temperature: 65°F (18.33°C)
Heating Degree Days (HDD): October to April
Cooling Degree Days (CDD): May to September
Arithmetic mean between highest and lowest temperature
Contract size: $100, a tick being 1°F

**10. **Euronext - LIFFE London, Paris, Berlin
London: contracts of £ 3,000
Paris and Berlin: € 3,000
Tick of 0.01°C ? € 30 or £ 30 a tick

**11. **Nextweather Météo-France & Euronexxt
National and regional (5 regions)
Temperatures reported daily and quarterly

**12. **Weather derivative structure Most of weather derivatives traded are call or put options, swaps, collars
Weather futures contract
Provides or requires payments according to the level of a weather index
No initial premium is required
The payment of a HDD-Future (Heating Degree Days) contract is
F-N*HDD
F: future price (amount of money)
N: contract size (affecting a financial value)
For a CME temperature contract: N=$100/degree

**13. **Weather derivative structure call and put options The underlying assets of a call or a put option are either HDD or CDD (Cooling Degree Days)
A dollar amount is associated with every degree
In order to limit the maximum payout by the counterparties, the contracts are usually capped
For a call option: Payoff= P($/DD)*Max(ST-X,0)
For a put option: Payoff= P($/DD)*Max(X-ST,0)
Example:
Consider a CDD call option with a strike price of 1000CDD’s paying 4000$ per degree day.
Payoff= 4000 *Max (CDDt-1000, 0)
CDDt is the cumulative cooling degree days over the life of the contract

**14. **Weather derivative structure – swaps Combination of a call and put option having the same strike price and the same underlying location
The simplest kinds: uncapped swaps
The payoff is calculated:
Payoff= [Min{P($/DD)*Max(ST-X,0), h}]-[Min{P($/DD)*Max(X-ST,0), h}]
Example:
An icemaker and a cinemas operator want to cover respectively against a fresh summer and warm summer. They put in place a swap in which the exercise price is 24° C. If the average temperature over the period agreed exceeds 24° C, the producer of ice pay to the operator of cinemas the provision in the contract;

**15. **Weather derivative structure – collars Purchase an OTM put (call) with a particular strike price (K2) and sell in the same time an OTM call (put) with different strike price (K1).
Payoff= [Min{P($/DD)*Max(ST-K1,0), h}]-[Min{P($/DD)*Max(K2-ST,0), h}]
Example :
A company who wish to protect itself against a hard winter will buy a HDD Cap having the following characteristics: Strike 500HDD with $2000 per HDD and a payoff capped to $2 000 000.
Payoff Cap=Min (2000*Max (0,CumHDD-500),2 000 000)
P&L= Payoff Cap-premium for buying the cap

**16. **Weather derivative Pricing The no-arbitrage option pricing model is not practical pricing tool for weather derivatives:
the underlynig weather indexes are not a tradable instruments
The underlying weather indexes are not stationary:
Hard to implement pricing techniques
Historical data are characterized by high degree of autocorrelation:
reduces the number of independent observations

**17. **Weather derivative Pricing Simple option pricing This model can be constructed using a probability distribution that will fit the historical data collected of monthly CDDs or HDDs
The expected payoff of a CDD option can be calculated using the formula:
Payoff (CDD) = M P(CDD)Q(CDD)d(CDD)
The expected value of a weather derivative depends on :
the strike price
the probability distribution that describes the CDDs
the number of dollar per CDD

**18. **Weather derivative Pricing Many complications encounter the pricing of weather derivatives:
A simple distribution should not explain the historical data.
Variability in weather trends
Data given by the atmospheric community can’t be used directly

**19. **Weather derivatives Pricing Black and Scholes The B&S model shows that, under certain assumptions, the price of options can be determined from the price of the underlying asset
The asset can be traded continuously with no transaction costs
The asset price follows geometric Brownian motion
The asset is uninfluenced by the trading of the asset that is undertaken to hedge the option
No riskless arbitrage
Some of these assumptions do not probably fit the weather derivative because:
The underlying instruments in weather derivatives is not tradable
It’s also impossible to create a risk-neutral portfolio

**20. **Weather derivatives Pricing the actuarial method The average final payment EM is calculated using the expected value of the function fp of the contract payoff under the measure of the probability chosen
EM= ?R fp(x)g(x)dx
The actuarial method is much more robust than the Burn analysis

**21. **Weather derivatives Pricing Burn Analysis Called simulation on historical data, the burn analysis answers the question: what would have been the average option payoff in the past n years
There are 6 steps to be considered in a Burn analysis process:
Collecting the historical data
Converting them to degree day: either HDD or CDD
Some corrections should be made to the data converted.
Then, for every year in the past and for each weather pattern, we determine the payout of the option
Find the average of these payout amounts
Discount back to the settlement date.
Burn analysis formula consists on estimating an average final payment based on historical data EM and risk hedge standard deviation sM.
P=d(EM+?*sM)

**22. **Weather derivatives Pricing Pruning Analysis The Pruning technique consists of integrating into daily simulation models various weather forecasts
The integration of climate forecast is slightly more difficult, because it requires the calculation of conditional probability distributions
Solution: use of historical scenarios for each forecast

**23. **Conclusion The weather derivatives efficiently meet the specific needs of coverage:
Climate uncertainty reamins high despite improved weather forecasts
Existing pricing models described are not necessarily used by market makers
Need for a standard pricing model

**24. **Sources La lettre mensuelle d’Euronext Paris - Février 2002 - N° 41 - Bourse Information
“Introduction to Weather Derivatives”
de Geoffrey Considine, Ph.D, Weather Derivatives Group, Aquila Energy
« Weather Derivatives: Instruments and Pricing Issues”
Mark Garman', Carlos Blanco and Robert Erickson
“Quel avenir pour les dérivés climatiques en Europe ?”
Phillipe Smadja et André Yves Ponts
« Evaluation des dérivés climatiques », Michael Moreno
« Options, futures and other derivatives” 6ème edition, JOHN C. HULL
“La Gestion du Risque Climatique »
Didier Marteau, Jean CARLE, Stéphane Fourneaux, Ralph Holz, Michael Moreno

**25. **Sources Websites
www.edubourse.com
www.artemis.bm/html/press_releases.
www.matif.fr/monep/pub/NextweatherbrochureFR
http://www.lesinfos.com/news17993.html
http://www.novethic.fr
www.bfinance.fr
La Grande Relève > Articles > N° 1070 - novembre 2006 > Énergie et climat
http://www.atmos.washington.edu
http://www.derivativesstrategy.com