Title: Uncertainty%20in%20forecasts
1Uncertainty in forecasts
- When very high temperatures are forecast, there
may be a rise in electricity prices. - The electricity retailer then needs to purchase
electricity (albeit at a high price). - This is because, if the forecast proves to be
correct, prices may spike to extremely high
(almost unaffordable) levels.
2Impact of Forecast Accuracy
- If the forecast proves to be an over-estimate,
however, prices will fall back. - For this reason, it is important to take into
account forecast verification data in determining
the risk.
3Using Forecast Verification Data
- Suppose we define a 38 deg C call option
(assuming a temperature of at least 38 deg C has
been forecast). - Location Melbourne.
- Strike 38 deg C.
- Notional 100 per deg C (above 38 deg C).
- If, at expiry (tomorrow), the maximum temperature
is greater than 38 deg C, the seller of the
option pays the buyer 100 for each 1 deg C above
38 deg C.
4Pay-off Chart 38 deg C Call Option
5Determining the Price of the38 deg C Call Option
- Between 1960 and 2000, there were 114 forecasts
of at least 38 deg C. - The historical distribution of the outcomes are
examined.
6Historical Distribution of Outcomes
7Evaluating the 38 deg C Call Option (Part 1)
- 1 case of 44 deg C yields (44-38)x1x100600
- 2 cases of 43 deg C yields (43-38)x2x1001000
- 6 cases of 42 deg C yields (42-38)x6x1002400
- 13 cases of 41 deg C yields (41-38)x13x1003900
- 15 cases of 40 deg C yields (40-38)x15x1003000
- 16 cases of 39 deg C yields (39-38)x16x1001600
- Total 53 cases Total 12500
- cont.
8Evaluating the 38 deg C Call Option (Part 2)
- The other 61 cases (1571451731220102
1), associated with a temperature of 38 deg C or
below, yield nothing. - So, the total is 12500
- This represents an average contribution of 110
per case (12500/61 cases (38 deg C or below)53
cases (above 38 deg C) ), which is the - price of our option.
9Ensemble Forecasting
- Another approach to obtaining a measure of
forecast uncertainty, is to use ensemble weather
forecasts - The past decade has seen the implementation of
these operational ensemble weather forecasts. - Ensemble weather forecasts are derived by
imposing a range of perturbations on the initial
analysis. - Uncertainty associated with the forecasts may be
derived by analysing the probability
distributions of the outcomes.
10Some Important Issues
- Quality of weather and climate data.
- Changes in the characteristics of observation
sites. - Security of data collection processes.
- Privatisation of weather forecasting services.
- Value of data.
- Climate change.
11Weather Derivative Applications
- Several Case Studies in the Australia Market will
be analysed including
Soft Drink Sectors
Power
Air Conditioning
Theme Park
Clothing
Brewing
Mining
Gas
Ice Cream
Agricultural
Weather Derivatives
12Applications Power (1)
- "Earnings from Australian operations were lower
primarily because of abnormally warm winter
temperatures in Victoria that affected both
electric and gas operations. A utilities company
in Texas, November 1999 - Demand for electric power is volatile, dependent
upon numerous unpredictable factors, including
the weather. New risk management tools can help
power generators mitigate the impact of extreme
weather conditions.
13Applications Power E.g. 1 (2)
- A power generator can hedge its power price risk
with a financial swap. However, it will incur an
opportunity loss against the RRP (pool) price if
temperatures in South Australia rise above normal
during the peak cooling season (December -
March).
14Applications Power E.g. 1 (3)
- Under such conditions, a generator would like to
receive a higher price for its power, which it
will already have hedged through an electricity
swap.
15Applications Power E.g. 2 (4)
- A weather-indexed commodity swap can be
structured to protect against such opportunity
losses inherent in hedging programs.
16Applications Power E.g. 2 (5)
- The South Australian generator agrees to sell
60MW of flat power at a price of 50/MW for the
month of February 2001. Having analyzed
historical weather conditions, both parties agree
on a trigger number of 110 cooling degree days
for February. CDDs are calculated as the
cumulative number of CDDs for the month of
February.
17Applications Power E.g. 2 (6)
- Should the underlying weather conditions be
warmer than the trigger, the power producer will
be assured of receiving a higher price for its
power. For every CDD per day above 110, to a
limit of 200, the power company will be paid
AU0.10c/MW over the base price.
18Applications Power E.g. 2 (7)
- If the cumulative number of CDDs for February
equals 125, the power company would receive
AU51.50/MW(AU50 AUD0.10 x (125 - 110)). If
the weather proves to be cooler than the strike
of 400 CDDs, the generator will still be assured
of a price of 50 per MW from the weather-indexed
commodity swap.
19The increasing focus on weather risk
- 3,937 contracts transacted in last 12 months (up
43 compared to previous year). - Notional value of over 4.3 billion dollars (up
72). - Market dominated by US (2,712 contracts), but
growth in the past year is especially so in
Europe and Asia. - Australian market accounts for 15 contracts worth
over 25 million (6 contracts worth over 2
million, previously). - Source Weather Risk Management Association
Annual Survey (2002)
20Survey Design and Implementation (1)
- Presurvey (sent in February)
- Sent to All WRMA members
- Will you participate? 20 companies responded in
2002 (19 in 2001) - Survey (sent in April)
- Establish size of market between April 2001 and
March 2002 (Latest statistics) - 5 Pages in total (2 pages returned to PwC)
- General information about company
- Information on Contracts
- Responses confidential and destroyed once
tabulated
- Source Weather Risk Management Association
Annual Survey (2002)