Macroeconomic Tradeoffs and Energy Security for Thailand: The Case for Strategic Petroleum Reserve – An Application of Dynamic Programming Presented at the Division of Economics and Business The Colorado School of Mines September 30th, 2011 Poonpat Leesombatpiboon Energy Policy and Planning Office Ministry of Energy 121/1-2 Phetchaburi Road Ratchathewi, Bankok 10400 Thailand Fred Joutz The George Washington University Department of Economics [email protected]
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Macroeconomic Tradeoffs and Energy Security for Thailand:
The Case for Strategic Petroleum Reserve – An Application of Dynamic Programming
Presented at the Division of Economics and Business
“Small oil-importing economies” are subject to risk from oil price and quantity shocks. Strategic Petroleum
Reserves (SPR) are one policy option. Government policy makers can attempt to mitigate the macroeconomic
impacts, but have to balance the welfare impacts from allocating resources to SPR against other energy and
macroeconomic development goals. We develop a simple dynamic stochastic general equilibrium policy model to
analyze the economic consequences of the SPR for Thailand. The assigned parameter values for the model aim to
reflect the basic characteristics of Thai economy. We examine the welfare effects from alternative sizes of the SPR
and the opportunity cost for the economy. The larger is the SPR, the greater are the sacrifice of resources to
maintain and operate the SPR. This lowers the level of resources available for production and consumption in the
long run. There exists a tradeoff between the sacrificed welfare in the long run for the less volatile welfare in the
short run.
Outline
1. Thailand Energy Balance
2. Energy Security - Definitions
3. Rationale for a Strategic Petroleum Reserve
4. Brief Review of the Literature
5. The SPR Model
6. Simulations and Impulse Responses
7. Summary
The Energy Balance in Thailand
Commercial Primary Energy Production, Consumption and Import
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10000
20000
30000
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50000
60000
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90000
1980 1985 1990 1995 2000 2005
Energy Import (Net)Energy ProductionEnergy Consumption
Thousand T
ons o
f O
il E
quiv
ale
nt
(KT
OE
)
Figure 3: Net Energy Import by Energy Type
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0
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20000
30000
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50000
86 88 90 92 94 96 98 00 02 04 06
Crude OilCoalCondensate
ElectricityNatural GasPetroleum Products
Thousand T
ons o
f O
il E
quiv
ale
nt
(KT
OE
)
Energy Security is defined and used in many fields, ranging from economics to law, public policy, and foreign
affairs.
The essence focuses primarily on the importance of secure energy supply sources at reasonable prices in the short
and long term and the threats to energy infrastructure that can damage the smooth and stable flow of energy
supplies.
APERC1 (2007) defines energy security as the ability of an economy to guarantee the availability of energy
resource supplies in a sustainable and timely manner with energy prices maintained at a level that will not
adversely affect economic performance.
Conceptually summarized into four A’s: Availability, Accessibility, Acceptability, and Affordability
Important Issues When Discussing Energy Security
(1) the availability of fuel reserves,
(2) the accessibility energy supplies to meet energy demands,
(3) the ability of an economy to diversify both energy types and energy suppliers,
(4) the availability of energy infrastructure and transportation,
(5) the impacts of geopolitical concerns, and
(6) policies that promote energy efficiency and conservation
1 Asia Pacific Energy Research Center is the energy research entity under the APEC Energy Working Group. More information can be found at www.aperc.org.
Rationale for a Strategic Petroleum Reserve
Leesombatpiboon (2009)
10 percent shortfall in oil consumption might cause Thailand’s economic growth to shrink by 2 percent within the
same year
While a sharp 10 percent rise in oil price can lead to a fall in output growth by 0.5 percent.
Sources of Global Oil Supplies are most often found in unstable geopolitical locations and subject to transportation
chokepoints.
Volatile sources of Supply
These unfavorable scenarios require the government to establish an emergency plan rather than just relying on oil
price controls and rationing programs.
Pindyck and Rotemberg (1984) argue that price controls can eventually turn a price shock into a quantity shock.
Cohen, Joutz, and Loungani (2011)" Quantifying Energy Security"
Rationale for a Strategic Petroleum Reserve
Market Failures
The first externality refers to excessive oil imports from politically insecure parts of the world. The private cost of
imported oil is the price of imported oil plus shipping costs and insurance premiums. This private cost is lower
than the social cost as individuals do not take into account the costs to society imposed by the insecurity that
accompanies imported oil. This sort of externality can be corrected with an “oil import premium” as suggested
by Bohi and Montgomery (1982).
The second type of market failure occurs because, in the absence speculative action, the private sector tends to
keep its oil stocks as low as possible in order to minimize operating costs. The Stockpile premium. The private
stock level is therefore lower than is socially optimal in the sense that it is insufficient to cushion
The national oil stockpile in this case exhibits a characteristic of public good as it provides security to the nation
and the economy as discussed by Horwich and Weimer (1984). But one country's or a group of countries' (IEA) oil
stockpile has benefits that can disseminate globally. Even countries that are not IEA members can benefit from
such action, which creates a classic example of the free-rider problem.
Brief Literature Review on SPRs
IEA
Balas (1979) Game Theoretic Approach for US
Teisberg (1981) Dynamic Programming examined different sizes of oil shocks and optimal size of SPR
Bohi and Montgomery (1982) describe the economic benefits and costs of oil stockpile. They address interesting
policy questions e.g. the optimal use of oil in the normal and disruption period together with the optimal size of the
oil stockpile to be held for alleviating the supply disruption.
Eckstein and Eichenbaum (1985)
Lougani and Kim (1992) to construct a stochastic general equilibrium model of an economy that cannot produce
oil and must import oil as an input of domestic production.
The SPR Model
Objective to examine the welfare effects of government intervention to establish a strategic petroleum reserve in a
small open fuel importing country that is subject to the uncertainties of oil supply shocks. Follow Eckstein and
Eichenbaum (1985) and Lougani and Kim (1992) approach to construct a stochastic general equilibrium model
Economy
1. Infinitely lived consumers supplying labor and renting capital to firms. Consumers maximize discounted
utility from consumption and leisure.
2. Simple capital accumulation equation
3. Oil stock evolution
4. Firms maximize profits producing the single good using capital , labor, and energy (oil)
5. Government chooses the size of the strategic petroleum reserve.
Steps
1. Describe the Consumers Problem and the Firms Problem
2. Set up the Dynamic Programming Problem and Bellman Equations
3. Solve the Optimality Conditions
4. Examine the Equilibrium and Model Solution
5. Simulations with types of shocks, their size, and different SPR sizes
The Representative Consumers Problem
The representative consumer derives the well-being at time t from consumption, tc and leisure, tl . The
consumer’s time endowment is normalized to 1 so that after allocating the amount of time tn for working, his
leisure is equal to )1( tn . The utility function is given by
)1log(log),( tttt nAcncU (1)
where A is a positive constant term. Utility increases in consumption and leisure while marginal utility of
consumption and leisure decline in consumption and leisure respectively.
The single period budget constraint of the representative consumer is given by
ttttttt krnwic (2)
Dynamics of Capital Accumulation or Law of Motion for Capital
ttt ikk )1(1 (3)
where 10 is capital depreciation rate.
Evolution of the Oil Stock
to , Oil use in this period,
tH , availability of oil holding,
ts , the stockpile of the amount of oil reserved from the last period
tM the delivery of oil import in the current period was ordered/decided in this previous period.
ttM The realization of oil imports from Aiyagari and Riezman (1985).
]1,0[t the random oil disruption variable - independently and identically distributed (iid).
The availability of oil holdings in this period is given by firm which recalculates its available oil stock and makes
the optimal decision for oil use in period t i.e. to and oil to be reserved from this period to the next period, 1ts .
tttt sMH (4)
The amount of oil use in this period and the amount of oil saved for the next period cannot exceed the availability
constraint of oil holdings in the same period i.e.
ttt Hso 1 (5)
The constraint is assumed to be binding since the firm makes the most efficient use of its oil resource.
1ttttt ssMo (6)
The Representative Firms Problem
The representative firm has a Cobb-Douglas production technology which exhibits the constant return to scale.
Three inputs are used for production: capital, labor and oil. The production function can be written as
321
tttt noky (7)
The firm maximizes the present value of expected profit by producing the single consumption good ty
and paying the following costs
1) labor cost, ttnw
2) capital rental cost, ttkr
3) oil import cost, 1t tp M
4) oil stock holding cost h and
5) oil adjustment cost. 2)(
2ttt sM
where is the adjustment cost parameter and 10 is the required stock holding parameter set by
government. .
The Representative Firms Problem The Current Period Profit Function
211 )(
2321
tttttttttttttt sMhsMpnwkrnok
(8)
Substitute Equation (6) in Equation (8), the profit function can be written as
31 2 21 1 1( ) ( )
2t t t t t t t t t t t t t tt t tk M s s n r k w n p M hs M s
(9)
The Economy's Resource Constraint is given by:
31 2 2
1 1 1 11 ( ) ( )2
t t t
t t t t t t t t t t t t t t t
c i y
c k k k M s s n p M hs M s
Set up the Dynamic Programming Problem and Bellman Equations
Representative Consumer Maximizes the subjective discounted value of utility by choosing the sequence
1, ,t t tc n and k subject to the lifetime budget constraint and the equation of motion for capital.
1
, , 0 01
ln ln 1
ln ln 1 1
ln ln 1 1
1max ,
1
t t t t
t t t t t
t t t t t t
T Tt
t t t t t t t tic n k t it t t t i
Using the Bellman Equation Framework
V k c B n V k
V k c B n V k i
V k c B n V k y c
V U c n w n r k cr
The Firm maximizes the discounted stream of profits by choosing
31 2
1 1
1 1
21 1 1
, , , 0
1, , ,
1max ( ) ( )
21
max
t t t t
t t t t
T
t t t t t t t t t t t t t tt t t tn k M s t t
t t tn k M s
k M s s n r k w n p M hs M sr
V s E V s
We assume the firms and consumers use the same discount rate.
Solve the Representative Consumer's Optimality Conditions
)]1([1
1
1
t
tt
rcc
(10)
(10) This is the intertemporal MRS which states that the marginal utility of giving up one unit of consumption in
the present is compensated by the discounted increase in utility in the future taking into account the net interest
income earned from future capital.
A
nwc tt
t
)1(
(11)
(11)This is the MRS for leisure and consumption. The optimality condition determining labor supply in every
period by taking into account the real wage, tw , which is implicitly determined in the model. It implies that for
any given level of consumption, tc , an increase in the real wage, tw , will increase labor supply, tn . This is
assuming the substitution effect dominates the income effect.
Solve the Representative Firm's Optimality Conditions
The optimal condition for tk is given by setting the rental rate to the MP of capital
321 )( 11
1 ttttttt nssMkr (12)
The optimal condition for tn is given by setting the real wage to the MP of labor
113
321 )( ttttttt nssMkw (13)
The optimal condition for 1tM is given by the price of oil paid by the firm today is equal to the discounted
expected MP of oil and including the adjustment cost from using one barrel of oil next period.
)]}()([{ 11111
2111121321
tttttttttttt sMnssMkEp (14)
The optimal condition for 1ts is given by MC of foregoing a barrel of oil consumption today plus the holding cost
being set equal to the discounted expected benefit of an additional barrel of oil expected MP of oil and including
the adjustment cost from using one barrel of oil.
)}()({)( 11111
2111121
12321321
tttttttttttttttt sMnssMkEhnssMk (15)
Examine the Equilibrium and Model Solution
The equilibrium solutions of the model must satisfy three conditions i.e.
1) the consumer chooses consumption and leisure optimally, given the market prices;
2) the representative firm chooses the levels of capital, labor, oil imports and oil reserve optimally, given the
market prices;
3) All markets clear.
In other words, the competitive equilibrium solutions will be obtained by solving the optimal conditions of
consumer and firm simultaneously along with the resource constraint. As a result, consumer takes the price of
capital and labor defined in (12) and (13) and substitutes them into (10) and (11) respectively which give Equations
(16) and (17) as follows:
)]1()([1
321
121111
11
1
tttttt
tt
nssMkcc
(16)
A
nnssMkc ttttttt
t
)1()(1
13321
(17)
The resource constraint is given by
21111 )(
2)())1(( 321
ttttttttttttttt sMhsMpnssMkkkc
(18)
By solving the system of nonlinear equations consisting of Equations (14) to (18), the optimal path of the choice
variables can be determined. Let * * * * *, , , ,c n k M and p denote the steady-state values of consumption, labor
employment, capital stock, oil import, oil stock and oil price respectively. In the steady state, we assume there is
no oil supply shock i.e. 1*.
1
1
**2
** 2
31 )()())1(( nk
hpM
(19)
321 )()()()1(1 *1**
2** nMkhMs
(20)
11
1
32 )()(
)1(1
**1
*
nMk
(21)
A
nnMkc
)1()()()( *1***3*
321
(22)
3
1
21 )()(
)(2
**
*2******
*
Mk
ksMhsMpcn
(23)
Lets consider implications of the steady-state equation for oil imports and oil stockpile.
This can aid in understanding the long-run relationship between these variables when all shocks have disappeared
and the economic environment turns to normal.
(20) suggests that the steady-state level of oil stock is positive only if the value of the first term on the right hand
side of the equation exceeds the second term. The first term on the right hand side is the required stock set by the
government as a proportion of steady-state oil import level while the second term is based on the firm’s marginal
cost of holding the stock in the steady state.
If the adjustment cost, , (i.e. punishment cost in some sense) is very high, the second term will approach to zero.
Firms are forced to follow the government’s stock requirement in the steady state. Otherwise if the firm perceives
that it is worthwhile to violate the government’s rule due to the low adjustment cost, the stock level in the steady
state could turn out to be negative. This violates a physical constraint and is counterintuitive. Therefore, in the
simulation part, it is necessary that the parameters must be chosen carefully to ensure that the steady-state stock
level will not be negative.
(19) implies that holding other variables constant, the steady-state level of oil imports is inversely related to the
steady-state oil price. What about the impact of capital and labor on imports?