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.
9Example from Aquila
- Business Situation
- A wheat farmer has specific times during the year
when his crops must sprayed with pesticide in
order to ensure a healthy yield. - If there is substantial rain within a few days of
application, the pesticide will wash away and
will have to be reapplied. - Not only is the pesticide application a
substantial part of his operation costs, but he
also could miss his window and hit a season or
growth cycle that is especially susceptible to
pests if he is unable to reschedule the
application. - In order to keep his costs down and guarantee the
best growing conditions for his crop, he needs to
access a short-term precipitation forecast.
Source http//www.guaranteedforecast.com
10Example from Aquila (cont.)
- Solution
- The Guaranteed Forecast product along with a
partnership with agrochemical companies - allows
him to schedule the pesticide application, and
ensures that his crops will be protected against
pests, even in rainy conditions. - Based on a 72-hour forecast, he can have the
pesticides applied if the precipitation will be
less than 5 mm. - If the forecast predicts 5 mm or more, he should
wait for the next dry period. - If he chooses to apply based on the forecast the
chemical company will treat the farmer's fields. - If the forecast was incorrect, and too much rain
falls, the chemical company can reapply the
farmer's field free of charge.
Source http//www.guaranteedforecast.com
11Ensemble 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.
12Some 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.
13Weather 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
14Applications Agricultural (1)
- From plantation to harvest, precipitation,
temperature, sunshine hours and wind can affect
the quality and quantity of a crop.
15Applications Agricultural (2)
- Rising production costs and stricter rules
regulating the use of agrochemicals mean farmers
must be increasingly efficient in their
management practices. - Although more intensive technology programs have
been developed in recent years to integrate the
use of high-yield seed varieties with planned
applications of fertilizers, herbicides, and
fungicides,weather remains a major risk.
16Applications Agricultural (3)
- While there is a strong correlation between
fluctuations in crop production volumes and the
weather, risk management tools are now available
which can minimize the financial impact of the
weather on a grower's profitability. - For example, weather derivatives can be tailored
to protect growers against losses to heat-loving
crops, such as cotton, due to frosts or prolonged
cloudiness in the early stages of development.
17Applications Agricultural (4)
- Similarly, weather derivatives can be structured
to provide financial compensation for the ill
effects of excess precipitation. (Too much
rainfall can cause flooding and ponding of the
soil, which can restrict the amount of oxygen
available to root systems. This, in turn, can
reduce nutrient uptake, leading to nitrate
leaching and an increase in the incidence of
disease.)
18Applications Agricultural (5)
- The diagram illustrates the payout structure of
an option designed for a cotton grower in New
South Wales that needs protection against
excessive rainfall. This derivative will pay the
farmer AU70,000 per millimetre of rainfall in
excess of 150mm between 1st March - 30th April,
less the premium. A maximum payout of
AU10,000,000 is set.
19Applications Agricultural (6)
- With weather exposure covered by a derivative,
yield-related financial volatility can be reduced
significantly. The earnings of the grower are
thus stabilized, and minimum levels of financial
income guaranteed, before the crop is sold,
making profit forecasting more predictable and
accurate. - The grower's strengthened risk management
program, combined with more transparent accounts,
may result in a lower cost of debt from financial
institutions. In general, profit levels
stabilize, and business management decisions can
be made with greater confidence.
20The 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)
21Survey 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)