guest paper jumps in commodity markets · commodity futures portfolios, since it implies that jump...
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Guest Paper | Jumps in Commodity MarketsJune 2019
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Background
Our research paper “Jumps in Commodity
Markets” has recently been published in
the Journal of Commodity Markets. Here,
we provide a non-technical, executive
summary, reprinting some parts of the full
manuscript. For the full publication, please
refer to Nguyen & Prokopczuk (2019).
Motivation
Large price movement, i.e. jumps, are of
obvious concern for market participants.
In commodity markets, there are many
potential reasons why prices could jump.
For example, energy prices react heavily
to geopolitical events in the Middle East
(as witnessed when Iraq invaded Kuwait)
or Hurricanes in the Gulf of Mexico
(such as Katrina in 2005). The prices for
agricultural commodities might react
heavily to adverse weather conditions,
political announcements, or surprises
in inventory announcements. Likewise,
metal futures prices might react heavily
to supply disruptions or international
trade disputes. Consideration of jumps
is therefore of great importance when
relying on cross-sectional and cross-
market diversification for risk control.
From a portfolio perspective, it is relevant
whether jumps are highly correlated in the
cross section and across markets or not,
since high correlation would eliminate
diversification benefits. The knowledge
about specific commodities which show
high/low jump correlation thus allows for
a better portfolio allocation in times of
market stress.
We analyze the occurrence of jumps in
a wide variety of commodity markets.
A particular emphasis is placed on the
question whether prices in different
markets move heavily at the same point
in time, i.e. whether they co-jump.
In this guest academic paper, Professor Marcel Prokopczuk and Duc Binh Benno Nguyen
summarise a broader paper than they published earlier this year that analyses large price
movements, or jumps, in commodity markets.
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Findings on Individual Markets
Figure 1 shows the percentage of months
under study in which we identify jumps for the
individual commodities. The commodities
butter and milk exhibit by far the most jumps,
where 20.5% and 7.2% of the months include
jumps. Both futures were introduced rather
recently, so the sample period is relatively
short and the markets are young. The precious
metals gold and silver show also relatively
many jumps with a percentage of 2.6% and
1.9%, respectively. Soybean meal and live
cattle have the least jumps with a proportion
of only 0.1% and 0.2%, respectively.
Table 1 provides more details on the
frequency of jumps and their magnitudes on
a daily basis, distinguishing between positive
and negative jumps. It shows that jumps are
rare and extreme events. For example, only
4% of the daily returns observed in the crude
oil market are classified as (negative) jumps,
while the average absolute magnitude of
these jump returns is very large (-8.64%).
We also analyzed whether the occurrence
of jumps is related to market liquidity and
found that, indeed, lower market liquidity
(calculated as the Amihud (2002) ratio) is
associated with a higher probability of jumps
occurring.
Findings on Co-Jumps
We analyze the likelihood of two commodity
markets jumping at the same time. We
find that the pairwise correlation of jump
occurrence is close to zero and thus much
lower than the average correlation of normal
returns across markets, which is 0.13. Only
about 12 % of the commodity market pairs
exhibit co-jumps at all.
Table 2 presents those pairs of commodities,
for which we identify the highest frequencies
of co-jumping. As is immediately evident,
the energy sector shows high co-movement
of jumps, filling five of the first six rows. Other
pairs with significant jump correlations are
inter alia soybean commodities (soybeans,
soybean meal and soybean oil) and
precious metals (gold, platinum and silver).
Table 3 repeats the above analysis at the
sector level. The correlation of jumps within
certain individual sectors is much higher than
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the average across all commodities (0.03).
The energy, metals and grains sector show
relatively high correlations between 0.07
and 0.25 with 20.00% to remarkably 53.33%
of the pairs showing significant correlations,
while meats and softs commodities show
no jump co-movements within the sectors.
Intuitively, the correlation of jumps across
sectors are rather low, with values between
0.00 and 0.03. Return correlations are much
higher for
both pairs within and across sectors. All pairs
within the metals and grains sector show
significant return correlations with means
of 0.51 and 0.43, respectively. The highest
return correlations are found between the
metals and energy or grains sectors.
We also analyze the jump relationship of
commodity markets with other major asset
classes. Correlation of commodity returns
and stock market returns vary from -0.04 to
0.44, while jumps are mostly uncorrelated
(or sometimes negatively correlated).
Commodity returns and U.S. Dollar returns
are mostly negatively correlated while jumps
are uncorrelated or negatively correlated.
Commodities generally hedge against
Treasury note returns and jumps, even
though there are several exceptions.
Conclusion
To have a diversified cross-market portfolio
allocation, it is important to know to which
extent the jumps of commodities, stocks
and other assets are correlated. If they are
uncorrelated across markets one can protect
oneself against sharp price movements
through diversification. We find that while
jumps in commodity futures occur much
less frequently than in stock markets, some
commodities exhibit relatively many jumps.
The co-jump analysis reveals that commodities
do not tend to jump simultaneously, which is
good news for investors who are concerned
with extreme price movements of diversified
commodity futures portfolios, since it implies
that jump risk can be diversified. Relating
commodity jumps to other assets, we find
that jumps in the stock, currency and bond
markets are generally diversifiable by adding
commodities to the basket.
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Figure 1: Percentage Months with Significant Jumps
This figure presents the percentage of months that contain jumps which are significant
at the 5% level. Jumps are measured by the test statistic of Barndorff-Nielsen & Shephard
(2006) for the 29 commodities using daily observations within each calender month.
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Table 1: Summary Statistics of Daily Returns and Jumps
This table presents the summary statistics of daily returns (in percent). We report the number
of daily observations N, the average daily return, Mean, the average positive (negative) jump
returns, Pos. Jumps (Neg. Jumps) and their proportion.
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Table 2: Pairs of Commodities with Largest Jump Correlation
This table presents the commodity pairs with the highest jump correlation. Jumps are
measured by the test statistic of Barndorff-Nielsen & Shephard (2006). The pairs of
commodities listed here exhibit jump measure correlations with t-statistics higher than
3.0. The last column reports the related correlation coefficient.
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Table 3: Correlation of Jump Measure across Commodity Sectors
This table presents the summary statistics of the correlation of jumps measured by the test
statistic of Barndorff-Nielsen & Shephard (2006) in Panel A and of raw returns in Panel B. There
are 29 commodities divided into 5 sectors. The statistics below are computed within and across
sectors. We report the average time-series correlation coefficient and the percentage of all
correlation coefficients for which the t-statistic is higher than 2.0 in square brackets below.
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References
Amihud, Y. (2002). Illiquidity and stock returns: Cross-section and time-series effects. Journal of Financial Markets, 5 (1), 31-56.
Barndorff-Nielsen, O. E., & Shephard, N. (2006). Econometrics of testing for jumps in financial economics using bipower variation. Journal of Financial Econometrics, 4 (1),1-30.
Nguyen, D., & Prokopczuk, M. (2019). Jumps in commodity markets. Journal of Commodity Markets, 13 , 55-70.
Authors
Professor Marcel Prokopczuk
Marcel is a Professor of Finance at Leibniz University Hannover and Visiting Professor of Finance at the ICMA Centre, Henley Business School. He holds a PhD in Finance from the University of Mannheim, Germany and previously graduated from the University of Karlsruhe, Germany with a MSc in Business Engineering. He is a CFA charterholder and holder of the Professional Risk Manager (PRM) designation. Marcel’s main research interests are commodity markets, derivatives, and risk management.
Duc Binh Benno Nguyen
PhD at Leibniz University Hannover - Faculty of Economics and Management. Currently with Mercedes-Benz Bank.
Marex Spectron Institute
Marex Spectron’s educational arm capitalises on the Group’s lead research capabilities and strong ties with the academic world. The Institute offers individuals, and groups, high quality training into particular commodity markets, looking at market structures, challenges and trends, as well as offering insight into the idiosyncratic nature of these markets, and discussing trading and analytics.
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This document has been prepared for information purposes only and is not intended (and should not be considered) to be legal advice on any subject matter.
The views expressed are the views of Duc Binh Benno Nguyen and Professor Marcel Propopczuk at the time of publication. This document may contain forward looking statements, including statements regarding Marex Spectron’s or the authors’ intent, belief of current expectations with respect to market conditions, results of operation and financial condition, capital adequacy, specific provisions and risk management practices, which readers are cautioned not to place undue reliance on as they may be subject to change without notice. Marex Spectron does not give any representation or warranty, whether express or implied, as to the accuracy, completeness, currency or fitness for any purpose or use of any information in this document or as to whether this document reflects the current legislative or regulatory position or any other relevant developments. Marex Spectron assumes no responsibility to update this document based on events after its publication.
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