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Crude oil price model

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• OPEC model is a new revised economic model to forecast the evolution of crude oil quotations over short- and medium-term horizon (i.e. scheduling and planning).

• The power of the proposed economic model consists in its capability to account for the stochastic nature of crude oil prices, and for both oil producers and consumers to influence and determine the price dynamics.

• The proposed model can simulate different reference scenarios based on a set of stochastic trends and physical variables evolution, which identify possible distributions of economic trends to answer the typical question of PSE applications about the feasibility of products and processes;

• The economic background of producer and consumer countries has changed in the last 5 years, as OPEC and OECD do not include the so-called BRIC countries (i.e. Brazil, Russia, India, and China) and other emerging countries such as Indonesia.

Consequently, it is advisable to update the model parameters rather often (i.e. every year) because of the ever-changing events that may influence market quotations.

Conclusio ns In tr oduction Me thods R esults

do not take into account the forces that cause price fluctuations, but they are focused only on features of historical trends.

Econometric models

• Catch the historical fluctuations of prices;

• Short-, medium- and long-term horizons;

• Neglect the dependency of economic terms from the time-varying market oscillations;

• Price shocks are described by suitable stochastic contributions.

account for economic real variables and simulate the fluctuations of crude oil prices according to the Supply & Demand law.

Economic models

• Take into account physical variables;

• Study the reasons of historical market trends;

• Need to be often updated because of unpredictable events;

• Difficult long-term forecast of involved variables.

Coefficient WTI Brent

𝜶𝟎 717.1619 629.7461

𝜶𝟏 -7.4439 -7.2994

𝜶𝟐 -36.0783 -46.5462 𝜶𝟑 -40.8353 -52.1525 𝜶𝟒 513.3242 768.8437

𝜶𝟓 18.4018 25.7076

𝑹 0.83 0.88

Crude oil price model

𝑃𝑡 = 𝛼0 + 𝛼1𝐷𝑎𝑦𝑠𝑡 + 𝛼2𝑄𝑢𝑜𝑡𝑎𝑠𝑡 + 𝛼3𝐶ℎ𝑒𝑎𝑡𝑡 + 𝛼4𝐶𝑎𝑝𝑢𝑡𝑖𝑙𝑡 + 𝛼5𝐷𝑒𝑙𝑡𝑎𝑡 𝐷𝑎𝑦𝑠𝑡 = 𝐼𝑛𝑣𝑒𝑛𝑡𝑜𝑟𝑦𝑡

𝐷𝑒𝑚𝑎𝑛𝑑𝑡

𝐶ℎ𝑒𝑎𝑡𝑡 = 𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡𝑂𝑃𝐸𝐶 − 𝑄𝑢𝑜𝑡𝑎𝑠𝑡

𝐶𝑎𝑝𝑢𝑡𝑖𝑙𝑡 = 𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡𝑂𝑃𝐸𝐶 𝐶𝑎𝑝𝑎𝑐𝑖𝑡𝑦𝑡𝑂𝑃𝐸𝐶

𝐷𝑒𝑙𝑡𝑎𝑡 = 𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡𝑂𝑃𝐸𝐶 − 𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡𝑈𝑆𝐴

Input variables

𝐷𝑒𝑚𝑎𝑛𝑑𝑡+1𝑂𝐸𝐶𝐷 = 𝛽0𝐺𝐺𝐷𝑃𝑡+1 + 𝛽1𝑃𝑡 + 𝛽2𝑄1 + 𝛽3𝑄2 + 𝛽4𝑄3 + 𝛽5𝑄4 𝐼𝑛𝑣𝑒𝑛𝑡𝑜𝑟𝑦𝑡+1𝑂𝐸𝐶𝐷 = 𝛾0 + 𝛾1𝐶𝑎𝑝𝑎𝑐𝑖𝑡𝑦𝑡𝑂𝑃𝐸𝐶 + 𝛾2𝐷𝑒𝑚𝑎𝑛𝑑𝑡+1𝑂𝐸𝐶𝐷

𝐶𝑎𝑝𝑎𝑐𝑖𝑡𝑦𝑡+1𝑂𝑃𝐸𝐶 = 𝛿0 + 𝛿1𝐼𝑛𝑣𝑒𝑛𝑡𝑜𝑟𝑦𝑡+1𝑂𝐸𝐶𝐷

𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡+1𝑂𝑃𝐸𝐶 = 𝜗0 + 𝜗1𝐼𝑛𝑣𝑒𝑛𝑡𝑜𝑟𝑦𝑡+1𝑂𝐸𝐶𝐷 + 𝜗2𝑃𝑡

𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡+1𝑈𝑆𝐴 = 𝜔0 + 𝜔1𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡𝑈𝑆𝐴 + 𝜔2𝐼𝑛𝑣𝑒𝑛𝑡𝑜𝑟𝑦𝑡+1𝑂𝐸𝐶𝐷

The model is linear in the adaptive parameters whose values are calculated by a regression procedure.

The sign of estimated parameters is consistent with previous literature results. It is worth observing the different values of Brent parameters respect to WTI ones. This is mainly due to the dissimilar evolution of Brent and WTI quotations.

The need for distinct scenarios comes from the necessity to solve both planning and scheduling problems.

These scenarios are created under the hypothesis of bullish trend of GGGDP (i.e. 2% annual constant increase). We can see that in the next future quarters the expected trend of crude oil prices fluctuates between 30 and 60 USD/bbl.

• Crude oil is a reference component for the Oil&Gas sector, as it is the precursor of a number of chemical processes, commodities and utilities.

• Its cost is well-known, largely available in several databanks such as EIA, IEA, ICIS, and periodically updated.

• Fluctuations in the crude oil prices have both direct and indirect impact on global economy.

• The prices of crude oil are tracked very closely not only by investors worldwide, but also by decision makers in process design. Crude oil is a reference component in chemical supply chains and plays a major role in Conceptual Design of chemical plants whenever the economic assessment and feasibility study over short-, medium- and long-term horizons are concerned.

• Fluctuations of crude oil quotations are driven by imbalances between supply and demand and by uncertainties originated by political, economic and financial contributions, and geopolitical and weather-related incidents.

References

Cooper J.C.B., 2003, Price elasticity of demand for crude oil: estimates for 23 countries. Organization of the Petroleum Exporting Countries, Glasgow, Scotland.

Dees S., Karadeloglou P., Kaufmann R., Sanchez M., 2007, Modelling the world oil market. Energy Policy, 35(1), 178-191.

Manca D., 2012, A Methodology to Forecast the Price of Commodities. Computer Aided Chemical Engineering, 31, 1306-1310.

Manca D., 2013a, Modeling the commodity fluctuations of OPEX terms, Computers and Chemical Engineering, 57, 3-9.

Manca D., 2013b, A methodology to forecast the price of electric energy, Computer Aided Chemical Engineering, 32, 679-684.

Manca D., Grana R., 2010, Dynamic Conceptual Design of Industrial Processes. Computers and Chemical Engineering, 34, 656-667.

Rasello R., Manca D., 2014, Stochastic price/cost models for supply chain management of refineries. Computer Aided Chemical Engineering, 33, 433-438.

Time Event Δprice (%) Δtime

(Q)

Absolute values (USD/bbl)

July - December

2008 Financial crisis -69.3 3 From 133.37

to 41.12

Since 2011

Shale gas / decrease of crude oil imports in the US, and too many stocks in Cushing

shift

WTI/Brent 13 - 15/02/2011 and

11/03/2011

War in Libya and tsunami in

Japan / Fukushima 16 1 From 88.58

to 102.76 November 2011 -

March 2012

Political tensions with Iran/

strikes of oil workers in Nigeria

9.3 2 From 97.13

to 106.16

May - July 2012 End of the tensions / slow

growth in China -14.6 2 From 94.65 to

87.9 June - August

2013

Threat of an American attack

to Syria 11.3 1 From 95.77 to

106.57

Feb, 2008 Feb, 2009 Feb, 2010 Feb, 2011 Feb, 2012 Feb, 2013 Feb, 2014 Feb, 2015 Feb, 2016 Feb, 2017 Feb, 2018 Feb, 201930 40

50 60 70 80 90 100 110 120 130

Quarters

Price [USD/bbl]

Average forecast Brent Real Brent

Forecast initial time Average forecast WTI Real WTI

Aug, 201040 Feb, 2011 Aug, 2011 Feb, 2012 Aug, 2012 Feb, 2013 Aug, 2013 Feb, 2014 Aug, 2014 Feb, 2015 50

60 70 80 90 100 110

Quarters Aug 10 - Feb 15

WTI price [USD/bbl]

Real data Model

Aug, 201040 Feb, 2011 Aug, 2011 Feb, 2012 Aug, 2012 Feb, 2013 Aug, 2013 Feb, 2014 Aug 2014 Feb 2015 50

60 70 80 90 100 110 120 130

Quarters Aug 10 - Feb 15

Brent price [USD/bbl]

Real data Model

The results of one-step ahead simulations are acceptable over short- and medium–term horizons, i.e. for planning and scheduling problems.

Jan, 2014 Mar, 2014 May, 2014 Jul, 2014 Sep, 2014 Nov, 2014 Jan, 2015 Mar, 2015 40

50 60 70 80 90 100 110 120

Monthly price [USD/bbl]

Months Jan, 2014 - Apr, 2015 Brent and WTI Crude Oil quotation

Brent Price WTI Price

Jan, 1996 Jan, 1998 Jan, 2000 Jan, 2002 Jan, 2004 Jan, 2006 Jan, 2008 Jan, 2010 Jan, 2012 Jan, 2014-10 -5

0 5 10 15 20 25 30

Monthly price difference[USD/bbl]

Months 2000 - 2014

The roots of Q4 2014 crash lie on different factors: the massive reduction in import growth of China, the stagnation of oil demand in western countries and Japan, the oversupply due to US fracking boom and growth of Canada’s oil sands, an imbalance in price ratios between oil and natural gas, the role of speculative investors, and higher dollar/other currency ratios were responsible for the 50%

drop of crude oil price from July, 2014 to Dec, 2014.

This points out that no real support level exists in the current oil marketplace.

The quotations of WTI and Brent are respectively influenced by US and Europe markets and their political, economical, financial decisions/strategies.

Since 2011, WTI and Brent quotations have lost their mutual consistency, because the expansion in shale oil production resulted in the lack of outward flowing pipeline capacity from Cushing reservoir to the refineries on the US Gulf Coast, which saw WTI trade at substantial discount rates respect to Brent quotations.

A crude oil economic model for PSE applications

Davide Manca a , Valentina Depetri a , Clement Boisard b

a

PSE-Lab, Process Systems Engineering Laboratory, CMIC Department, Politecnico di Milano, 20133 Milan – ITALY

b

Process and Informatics Engineering Department, ENSIACET – 31030 Toulouse – FRANCE

davide.manca@polimi.it

ESCAPE 25 PSE 2015

31 May - 4 June, 2015 Copenhagen Denmark

Feb, 2008 Feb, 2009 Feb, 2010 Feb, 2011 Feb, 2012 Feb, 2013 Feb, 2014 Feb, 2015 Feb, 2016 Feb, 2017 Feb, 20180 20

40 60 80 100 120 140

Quarters

Price [USD/bbl]

Average forecast Brent Real Brent

Forecast initial time Average forecast WTI Real WTI

Q4 2014 Q1 2015

Riferimenti

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