THE IMPACT OF WORLD OIL PRICES VOLATILITY ON SECTORAL STOCK
PRICE RETURN IN INDONESIA: GARCH- M APPROACH
Setyo Tri Wahyudi
Universitas Brawijaya
BACKGROUND
World crude oil plays a vital role in world economy because it is considered as an important factor in the production function.
Movements and shocks in oil prices can affect the real economic activity which will ultimately affect the economy of a country
(Adebiyi et.al, 2009):
the supply side: company's production costs
the demand side: ability of the consumers to buy
Changes in oil prices can also have an impact on the capital market through the company's cash flow.
Masih et al. (2010): shocks in oil prices can have a direct and
indirect negative impact on company profits .
THE PURPOSE
To analyze the effect of the movement of world oil prices and their volatility, as well as the risk of volatility on the
return of the nine sectoral stock index in Indonesia.
LITERATURES
Volatility and Stock Price Movements
The Role of Oil Prices in Economy
The Efficient Market Theory
Portfolio Theory
Previous Empirical Research
METHODS
No. Variables Variable Definition Measurement 1 Return index of sectoral
stock price
The Profits or Loss
obtained from the sectoral stock price index changes 2 Volatility risk of Sectoral
Stock Price Index
The amount of risk
occurred when sectoral stock index is strongly fluctuated (volatile)
Deviation Standard from GARCH-M
3 World oil price Oil trade spot price It is formed from the supply and demand of oil trading
4 Volatility of World oil Price
The situation connoted to instability and is
unpredictable
ARCH-GARCH: the model used to obtain volatility value
No. Variables Variable Definition Measurement 1 Return index of sectoral
stock price
The Profits or Loss
obtained from the sectoral stock price index changes 2 Volatility risk of Sectoral
Stock Price Index
The amount of risk
occurred when sectoral stock index is strongly fluctuated (volatile)
Deviation Standard from GARCH-M
3 World oil price Oil trade spot price It is formed from the supply and demand of oil trading
4 Volatility of World oil Price
The situation connoted to instability and is
unpredictable
ARCH-GARCH: the
model used to obtain
volatility value
This study employs two type of analysis model:
(1) ARCH/GARCH model that is used to obtain the volatility value of the world oil price, and
(2) GARCH model in mean (GARCH-M), which is used to identify the influence of the world oil volatility and price changes, as well as the volatility risk towards the sectoral stock return index.
METHODS
(1) ARCH/GARCH model
METHODS
ARCH components
(2) GARCH model in mean (GARCH-M)
METHODS
(1) (2)
: constant varians : ARCH component
: GARCH component Eq. 1: for mean equation Eq. 2: for varians equation.
depend on residual and previous variant of residual.
For positive variant and fulfilling the assumption of non-negativity constraint, so and .
(2) GARCH model in mean (GARCH-M)
METHODS
RESULTS
Table 1. Stasionarity Result
Oil
Price Kurs
Agricult ure Return
Mining Return
Multi- industr
y Return
Primary Industr
y Return
Finance Return
Infrastruc ture Return
Consume r Goods Industry
Return
Propert y Return
Retail and Service Return
Level
0.8841 (Non- Stationar
y)
0.9949 (Non- Stationar
y)
- - - - - - - - -
1st differe
nce
0.000 (Stationa
ry)
0.000 (Stationa
ry)
0.000 (Stationa
ry)
0.000 (Stationar
y)
0.000 (Stationa
ry)
0.000 (Stationa
ry)
0.000 (Stationa
ry)
0.000 (Stationary)
0.000 (Stationary
)
0.000 (Stationa
ry)
0.000 (Stationa
ry)
RESULTS
Table 2. Assumption test Result
Model Normality Q-stat ARCH-LM
ARIMA (3,1,2) Abnormal White noise ARCH effect exists
GARCH (2,1) Abnormal White noise ARCH effect is non-
existence
RESULTS
Table 3. Estimation result of GARCH (2,1)
RESULT AGRICULTUR
E MINING
MULTI- INDUST
RY
PROPERT
Y FINANCE PRIMARY INDUSTRY
CONSUMER GOODS INDUSTRY
INFRASTRUCT URE
RETAIL AND SERVICE
Mean Equation
SQRT(GARCH) 0.097163 -0.000756 0.21418
1 -0.090182
-0.138643 0.045173 0.028839 0.067915
0.10202
[0.3855] [0.9945] [0.1907] [0.4720] [0.2253] [0.6301] [0.7749] [0.6265] [0.3477]
C -0.000862
6.12E-05
- 0.00365
1
0.00289 0.003289
0.000633 0.000872
0.000271
0.000884
[0.5941] [0.9675] [0.1820] [0.0816] [0.0296]* [0.6306] [0.4968] [0.8668] [0.4260]
D(WTI) 0.000426 0.000837 0.00111
9 0.000521 0.000829
0.000824 0.000206 0.000433
0.000534
[0.0492]* [0.0000]*
[0.0000]
* [0.0097]* [0.0000]* [0.0001]* [0.2790] [0.0128]* [0.0004]*
VOLATILITY -4.92E-05 -0.00016
0.00030
5 -0.000242 -0.000276 -0.000122 -8.27E-05 -0.000246 -0.000391
[0.8946] [0.6472] [0.5303] [0.5154] [0.4357] [0.7287] [0.7903] [0.4429] [0.1736]
D(KURS) -2.82E-05 -4.05E-05 -5.40E-
05 -7.21E-05 -6.11E-05
-6.72E-05 -3.19E-05 -3.80E-05
-3.52E-05
[0.0000]* [0.0000]*
[0.0000]
* [0.0000]* [0.0000]* [0.0000]* [0.0000]* [0.0000]* [0.0000]*
Variance Equation
C 1.56E-05 8.08E-06 1.07E-05 1.06E-05 1.32E-05 1.19E-05 1.10E-05 6.37E-06 7.67E-06
[0.0000]* [0.0000]*
[0.0003]
* [0.0000]* [0.0000]* [0.0000]* [0.0000]* [0.0000]* [0.0000]*
RESID(-1)^2 0.130994 0.076649 0.05393
7 0.09502 0.134931
0.158681 0.157292 0.079107
0.136431
[0.0000]* [0.0000]*
[0.0000]
* [0.0000]* [0.0000]* [0.0000]* [0.0000]* [0.0000]* [0.0000]*
GARCH(-1) 0.795961 0.877487 0.91150
8 0.847587 0.793973
0.793013 0.779635 0.868005
0.798033
[0.0000]* [0.0000]*
[0.0000]
* [0.0000]* [0.0000]* [0.0000]* [0.0000]* [0.0000]* [0.0000]*
D(WTI) -6.99E-06 -5.11E-06 -5.16E-
06 -2.90E-06 -3.01E-06
-4.52E-06 -1.03E-06 -2.48E-06
-1.53E-06
[0.0000]* [0.0000]*
[0.0208]
* [0.0298]* [0.0584] [0.0017]* [0.4957] [0.0011]* [0.1136]
ARCH+GARC
H 0.926955 0.954136 0.96544
5 0.942607 0.928904 0.951694 0.936927 0.947112 0.934464
LM test 0.6942 0.7951 0.395 0.4202 0.8593 0.7154 0.6511 0.2826 0.0629
Probability with *) has alfa significance of 5%