Last year’s news is
this year’s reality.
Late in the summer of
2014, the daily price of crude oil began plunging on the futures markets, where
people agree to buy and sell oil on a given day in the future, at a given
price. The headlines predicted ruin for
oil exporters.
The predictions were
premature, since daily prices – and on a speculative market, no less – are too
volatile to affect most production and consumption. For example, extracting oil
from Kazakhstan’s huge field in the north Caspian Sea, Kashagan, has taken more
than seven years and cannot possibly be contingent on the price of West Texas
Intermediate crude on July 1, 2008.
While some contracts do specify the daily oil price for daily purchases
under a long-run contract, the design of the contract itself depends on
long-run prices.
Particularly convenient
for decision-makers is the annual price of Brent crude – a global benchmark –
on the spot market, which hosts current purchases and sales. One can think of this price as the annual average
of daily prices, which looks backward.
In 2014, when daily oil prices began falling in the summer, the annual average
had fallen only 9% since 2013, from about $109 to $99 (Figure 2).
Today, however, when
most media have concluded that the oil price decline has ended and so is no
longer news, the annual Brent price has fallen 43%, to about $56 (Figure 1). This has led producers to delay planned
expansions of output. The president of
Kazakhstan, Nursultan Nazarbaev, said two weeks ago that the fall in energy
prices had reduced government revenues by 40%, with more
severe consequences than those of the global recession of 2007-2009, reported a
Kazakhstani business weekly newspaper, Panorama.
Kazakhstan, of course,
has been in tighter spots. National real
income per capita – that is, purchasing power for a typical Kazakhstani – roughly halved in the early years of the transition to markets, in
the early 1990s; and famine and cannibalism were common in the Stalinist
1930s. Nevertheless, today’s slowdown in
Kazakhstan is for real. Real income per
capita may rise less than 2% this year, judging from estimates of the
government’s statistical committee. In
the heyday of high oil prices, growth rates closer to 10% prevailed.
What does the future
bode? That depends on prior
conditions. If the status quo continues,
then I (crudely) estimate that the 2016 spot price of Brent crude may be about
$61-$62 per barrel, roughly 9% higher than today. (In contrast, the government of Kazakhstan cut its forecast of oil prices from $80 to $50 for its 2015-2017 budgets, reported Interfax-Kazakhstan in January.) But if 2016 repeats 2014 – say, with a
Chinese slowdown that sparks short sales in fossil-fuel markets – then the Brent
price may fall to $49-$50. Will tomorrow’s reality be yesterday’s news? – Leon Taylor
tayloralmaty@gmail.com
Figure 1: Annual spot price of Brent crude,
1987-2015. Data source: United States Energy Information Administration.
Figure 2: Annual change in the yearly spot price of
Brent crude, 1988-2015. Data source:
United States Energy Information Administration.
References
Interfax-Kazakhstan. Kazakhstan revises 2015-2017 budget to base it on $50 per barrel. January 16, 2015. www.interfax.kz
Панорама. Президент поручил Кабмину разработать антикризисный план. [Panorama. The President requested his ministers to develop an anti-crisis plan.] October 23, 2015.
Statistical Committee
of the Ministry of the National Economy of the government of Kazakhstan. Various statistics. www.stat.gov.kz
United States Energy
Information Administration. Oil prices. www.eia.gov
Notes
To forecast the 2016
oil price, I estimated annual prices for 1987-2015 as averages of the monthly
prices. I specified an autoregressive
model, since this suited the slow decline in the autocorrelation function and
the sharp decline in the partial autocorrelation function for the sample.
(Autocorrelation functions measure the strength of the relationship between two
oil prices that differ in time by a given interval. Correlations that are closer to 1 in absolute
value indicate a stronger relationship. For
example, the correlation between the current oil price and last year’s price is
.9. For the current price and the price
of two years before, the correlation is weaker, .77.)
The analysis has three
steps: Control for long-run factors in
oil prices; estimate short-run shocks; and forecast the oil price for a particular
shock.
Step 1. The first difference of oil prices is the gap
between the current price and the previous year’s price, or P(t) – P(t-1). The first difference was stationary; that is,
its basic characteristics didn’t change over time. This simplifies the statistical
analysis. So I regressed the first difference
on its first and second lags:
Dependent
Variable: DPRICE
|
||||
Method:
Least Squares
|
||||
Date:
10/14/15 Time: 19:00
|
||||
Sample
(adjusted): 1990 2015
|
||||
Included
observations: 26 after adjustments
|
||||
Variable
|
Coefficient
|
Std.
Error
|
t-Statistic
|
Prob.
|
C
|
2.167438
|
3.369370
|
0.643277
|
0.5264
|
DPRICE(-1)
|
-0.024780
|
0.258721
|
-0.095778
|
0.9245
|
DPRICE(-2)
|
-0.180607
|
0.262893
|
-0.687000
|
0.4990
|
R-squared
|
0.020113
|
Mean dependent var
|
1.461330
|
|
Adjusted
R-squared
|
-0.065095
|
S.D. dependent var
|
15.29756
|
|
S.E. of
regression
|
15.78761
|
Akaike info criterion
|
8.464495
|
|
Sum
squared resid
|
5732.718
|
Schwarz criterion
|
8.609660
|
|
Log
likelihood
|
-107.0384
|
Hannan-Quinn criter.
|
8.506297
|
|
F-statistic
|
0.236042
|
Durbin-Watson stat
|
1.609951
|
|
Prob(F-statistic)
|
0.791637
|
|||
The R-squared and F statistics –
which measure the model’s overall accuracy -- are disappointing. But the point of the model was to control for
long-run influences, which are represented by the lags, and thus to obtain measures
of short-run shocks as residuals. I didn’t
use the model to forecast.
Step
2. I regressed the first difference of oil
prices on the residuals (“moving averages”) obtained from the first model. As independent variables, I used the current
residual as well as its first and second lags.
For the forecasts, I set the current residual equal to that obtained in
2015 (the “status quo” scenario) and then to that obtained in 2014 (the “bad
news” scenario). Solving for the current
price in each scenario gave me the forecast.
For example, the model below
estimated the first difference of the price in the status-quo scenario. The independent variables are the current
residual (SE1_SHOCK_T) obtained in the first model, followed by the first and
second lags of the residual. In the
forecast, I set SE1_SHOCK_T equal to the 2015 residual in the first model;
SE1_SHOCK_T_MINUS1, also equal to the 2015 residual; and SE1_SHOCK_T_MINUS2,
equal to the 2014 residual.
Dependent
Variable: DPRICE
|
||||
Method:
Least Squares
|
||||
Date:
10/14/15 Time: 20:51
|
||||
Sample
(adjusted): 1992 2015
|
||||
Included
observations: 24 after adjustments
|
||||
Variable
|
Coefficient
|
Std.
Error
|
t-Statistic
|
Prob.
|
C
|
5.186500
|
0.365028
|
14.20850
|
0.0000
|
SE1_SHOCK_T
|
0.991668
|
0.005341
|
185.6717
|
0.0000
|
SE1_SHOCK_T_MINUS1
|
-0.024016
|
0.006844
|
-3.508999
|
0.0022
|
SE1_SHOCK_T_MINUS2
|
-0.185787
|
0.007047
|
-26.36357
|
0.0000
|
R-squared
|
0.999442
|
Mean dependent var
|
1.509809
|
|
Adjusted
R-squared
|
0.999358
|
S.D. dependent var
|
15.89140
|
|
S.E. of
regression
|
0.402549
|
Akaike info criterion
|
1.169014
|
|
Sum
squared resid
|
3.240921
|
Schwarz criterion
|
1.365356
|
|
Log
likelihood
|
-10.02817
|
Hannan-Quinn criter.
|
1.221104
|
|
F-statistic
|
11941.26
|
Durbin-Watson stat
|
1.798218
|
|
Prob(F-statistic)
|
0.000000
|
|||
My predictions are:
(1)
Status
quo scenario (assumes that the 2016 shock equals the 2015 shock). My mean estimate is $61.44. The 95% confidence interval is [$60.71,
$62.17].
(2)
Bad news
scenario
(assumes that the 2016 shock equals the 2014 shock). My mean estimate is $49.75. The 95% confidence interval [$49.01, $50.49].
(3)
Good news
scenario (assumes
that the 2016 shock equals the 2013 shock).
My mean estimate is $61.99. The 95% confidence interval is [$61.25,
$62.73].
My dataset follows. Its small size is definitely a constraint.
Price
|
Year
|
18.52
|
1987
|
14.95
|
1988
|
18.25
|
1989
|
23.68
|
1990
|
20.01
|
1991
|
19.31
|
1992
|
17.04
|
1993
|
15.84
|
1994
|
17.04
|
1995
|
20.64
|
1996
|
19.12
|
1997
|
12.78
|
1998
|
17.85
|
1999
|
28.52
|
2000
|
24.45
|
2001
|
24.96
|
2002
|
28.88
|
2003
|
38.23
|
2004
|
54.42
|
2005
|
65.15
|
2006
|
72.47
|
2007
|
96.85
|
2008
|
61.49
|
2009
|
79.51
|
2010
|
111.26
|
2011
|
111.65
|
2012
|
108.64
|
2013
|
99.02
|
2014
|
56.25
|
2015
|
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