Weather Derivatives: A Beginner’s Guide
BY CONNIE PAOLETTI
First published in Energy Power and Risk Management, August 2001
The industry may be four years old and worth $7.5 billion worldwide, but for some firms
weather risk and weather derivatives are still a new idea. Here, industry analyst Connie
Paoletti presents a guide to the fundamentals of weather risk management
Weather derivatives have had the attention
of energy and financial
companies since the last visit of the
El Niño weather phenomenon in 1997. But
while some industry professionals are well
versed in this area, others are only just being
introduced to it. So an outline of the fundamentals
of weather derivatives could
prove very useful.
Weather variations influence the price of
a commodity by influencing the demand for
the commodity – for example, heating oil,
orange juice, natural gas, cattle or electricity.
But consider the correlation coefficient
– the relationship between the commodity
price and a weather parameter such as temperature
– and you may find a correlation
coefficient of around 0.5 (see figure 1).
A correlation coefficient of 0.5 means
there is some indication that, for example,
summer electricity prices increase as the
temperature increases, but it is hardly near
a perfect correlation of 1.0. We may conclude
that circumstances apart from weather
influence the price. Such circumstances
may include generation outages, transmission
constraints or government legislation.
However, when we compare the volume
or demand for – rather than the price of –
a commodity with temperature, the correlation
coefficient may be greater than 0.95.
Therefore, we may conclude that the pri-mary
influence on demand for a particular
energy commodity is the weather. Weather
derivatives work as a volume risk management
tool because consumption of a com-modity
is closely tied to weather variations.
Take, for example, a heating oil distributor
that makes a certain profit margin on each
gallon sold during a particular winter.
If the winter is warmer than normal, the
distributor can expect less revenue due to
the decrease in the number of gallons sold.
In the case of a warmer-than-normal winter,
the company’s base price for heating oil
may go down, but that does not matter, because
its sales volume is less.
During a cold winter, the demand for
heating oil increases along with the cost per
gallon. If the distributor’s price is not
hedged, it is exposed to higher purchase
costs. Therefore, weather derivatives should
be used to complement price hedging.
The price and the volume hedge can
work together to provide earnings stability
for the company. Depending on the specific
risk profile of a firm, weather derivative
transactions may be constructed to
provide the desired degree of protection.
There is even an opportunity to embed or
combine weather derivative costs and payments
with the commodity price.
Strike level
The strike level is key to a weather
derivative contract’s terms, because it
indicates at which point the contract will
necessitate a payout. It all depends on the
amount of coverage a company requires.
The weather risk parameter, which refers
to the type of weather event that affects
earnings, must also be determined. Examples
of such weather risk parameters include
temperature, rainfall or precipitation,
snowfall or snow depth, relative humidity,
wind speed or wind chill, and actual data
versus forecast.
The most popular weather measurement
and reporting reference is the degree-day,
which derives its value from the average temperature
over a 24-hour period. The high and
the low reported temperatures are averaged,
and that average is either added or subtracted
from a baseline temperature. The baseline is
usually 65° Fahrenheit (18° Celsius).
An average temperature below 65°F implies
that people will be turning on the heat
and consuming more heating oil, natural
gas or electricity to warm their homes. For
every degree that the average temperature
is below 65°F, one heating degree-day
(HDD) is reported.
Most utilities have historical data on
commodity usage, and can easily determine
the impact of a warmer-than-usual winter
in terms of dollars per degree-day. The normal
winter time frame in the US is November
through March. The lower the number
of HDDs, the warmer the winter season.
Over a winter season, there may be a
warmer-than-normal November,
colder-than-normal December, normal January,
warmer than normal February and colder
than normal March to end up with what
may be called a normal winter. As degree-days
over seasons are cumulative, they tend
to smooth out the extremes and are therefore
less expensive to purchase.
Qualification and quantification of
weather risk is possibly the most important
and difficult thing to do with regard to structuring
weather derivatives. Once weather
risk is qualified in terms of temperature,
precipitation or whichever parameter is relevant,
it is important to quantify the risk.
This is accomplished by performing a
weather normalisation to determine a company’s
earnings associated with a normal
weather pattern.
The weather normalisation procedure
involves the analysis of historical weather
and revenue data to access the correlation
between a specific weather parameter and
earnings. Following normalisation, a company
should determine the value of the
quantifiable variable that is unacceptable
based on its risk profile. The next step is
to estimate the impact on company earnings
of a weather pattern that is not within
the "normal" range.
Then one must choose the weather tool
that fits the company’s risk profile. It could
be an exchange-traded contract, over-the-counter
(OTC) swap, OTC option on degree-days
or a defined event, such as
temperatures dropping below freezing or
snow depth exceeding a predetermined
amount. Finally, a company must assess the
amount of acceptable risk relative to the
cost associated with mitigating that risk.
When the strike for a swap is selected,
the swap strike is typically near the normal
or mean. However, the swap provider is
likely to put the swap strike slightly higher
than the mean on the cooling degree-day
(CDD) swap and slightly lower than the
mean on the HDD swap. In doing so, they
are essentially charging a premium for taking
on the floating weather risk, although
no money is paid upfront.
Practical example
Take the example of Burnitup, a fictitious
natural gas distribution company. Burnitup
is interested in reducing its earnings
volatility to improve its share price
performance and address controllable risks
within the organisation.
Its revenues are affected by the margins
they collect on natural gas throughput. The
past several winters have been warmer than
normal, so earnings have been down. While
the forecast for this coming year is a return
to normal winter weather patterns, the firm
does not want to take any chances.
Hence, Burnitup wants to fix its weather-related
earnings by fixing the number of
HDDs for the coming winter season. Historical
weather data shows the 30-year average
at 4,943 HDDs and the 10-year
average at 4,755 HDDs.
After studying the relationship between
throughput and historical weather data,
Burnitup determined that each HDD deviation
from normal negatively affects earnings
by $5,000 per HDD. It wants to fix the
number of HDDs at the 30-year average of
4,943 for the winter season based on readings
at the local airport.
The best swap strike proposed by the
weather broker in the deal, due to the current
warming trend, was based on the 10-year
average of 4,755 HDDs. Burnitup
agreed to a payout of $5,000 per HDD for
the period November through March and a
maximum payout of $2 million for a swap
strike of 4,755 HDDs.
At the end of the contract term, the actual
number of HDDs ended up being 4,307.
Since the actual number of degree-days was
below the swap strike, Burnitup will receive
a payment. The payment will be equal to
the difference between the swap strike and
the actual data, multiplied by $5,000 per
degree-day. This comes out as 448 HDDs multiplied
by $5,000, which equals $2,240,000.
But the payment will be limited to a maximum
payout that is set at $2 million.
The $2 million will be added to earnings
to make up for part of the deficit resulting
from the warmer-than-normal winter. If the
actual number exceeded 4,755 HDDs, Burnitup
would have had to make a payment
to the weather broker. The money to make
this payment comes from the increase in
Burnitup earnings due to the increase in
throughput.
If Burnitup does not want to give up in-creased
earnings during a colder-than-normal
winter, but still wants protection against
a warmer-than-normal winter, an analysis
of the weather variability is required to determine
the strike level.
The simplest way to measure overall
variability is to calculate the standard deviation
of the historical weather data. The
standard deviations of the 30-year average
and 10-year average are 363 and 339 HDDs,
respectively. In selecting a strike for an OTC
option, the strike is typically above the normal
number of degree-days, or mean, and
below normal for floors.
Out-of-the-money options with cumulative
indexes are typically considered for
most weather derivatives. And because they
smooth out the volatility, they tend to be
cheaper than other options. The strike level
on a weather derivative can be anything
when offered as an OTC transaction, but
the standard strike level that is quoted is
one half a standard deviation from the
mean. Then the premium is determined
based on the strike level, taking into account
the reduced volatility.
Given the historical weather data for Burnitup,
we calculate the targeted strike of an
HDD floor by dividing the 10-year standard
deviation by two and subtracting it from the
10-year average. So we have 339 divided by
two, which is roughly 170, and subtract this
from 4,755, which results in a strike of 4,585.
For the chosen location from November
through March, an HDD floor with a strike
level at 4,585 and a payout of $5,000 per
degree-day was quoted to Burnitup at a premium
of $300,000. As with all options, this
premium is paid upfront and is non-refundable
(see figure 2). Had Burnitup chosen
the HDD floor as opposed to the swap,
the formula would be to subtract the 4,307
from 4,585 to get 278 and multiply it by
$5,000, making the payout $1,390,000.
A collar is a variation on the straightforward
swap. A range – rather than a single
strike level – is guaranteed. A collar is essentially
constructed by buying one option
and selling another. With a collar, companies
lock in both a floor and a ceiling without
being charged a premium.
On the Burnitup hedge, a costless collar
could be constructed around the average
by adding and subtracting one half a
standard deviation from it. The range would
be established between a floor of 4,585 and
a ceiling of 4,925. If the actual number of
HDDs is below the floor, Burnitup receives
a payment. If the actual number of HDDs
is above the ceiling, Burnitup makes a payment
to the weather broker. If the actual
number of HDDs is between the floor and
ceiling, the result is no payout.
Connie Paoletti is an energy consultant
at The Oxford Princeton Programme,
a provider of training to the energy
industry and beyond
Energy Power and Risk Management, Weather Risk Special Report
© 2001 Risk Waters Group. All rights reserved. Used by permission.
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