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Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018 285
Malaysian Journal of Economic Studies 55(2): 285–300, 2018 ISSN 1511-4554
Senment-Augmented Asset Pricing in Bursa Malaysia:
A Time-Varying Markov Regime-Switching Model
Han Hwa Goha
Lee Lee Chongb
Ming Ming Laic
Mulmedia University
Abstract: This paper examines the nonlinear eects of investor senment on asset
pricing in Bursa Malaysia. The Fama and French three-factor model is re-augmented
within a me-varying Markov regime-switching framework to invesgate the three risk
premiums, condioned by four dierent proxies for investor senment (i.e. market-
wide indicators). The study nds evidence that the stock returns movement of Bursa
Malaysia exhibits a nonlinear two regimes paern. Besides, changes in the investor
senment to some extent funcon as a mediator in the regime switching dynamics
between bear and bull market cycles in Malaysian stock returns. It is also found that
an increase in posive senment of investors leads to a higher transion probability of
regime switching during bear markets. In addion, the three risk premiums are me-
variant, conngent upon the uctuaon of the proxies for investor senment within
discrete regimes. The study nds that in general, the market premium falls when the
stock market switches from bull to bear markets. On the contrary, both the size and
value premiums increase when the stock market moves from bull to bear markets.
Keywords: Asset pricing, Bursa Malaysia, investor sentiment, time-varying Markov
regime-switching model
JEL classicaon: G120, G410, C580
1. Introducon
Extreme market volality in global nancial markets is becoming more common. Such
volale uctuaons have been observed during the Brexit, U.S. presidency elecon,
price drop in crude oil and more other world events in recent years. Chen, Tian and
Zhao (2017) portrayed 2016 as the year of global black swan events. UK’s Brexit
(leaving the European Union) vote and Donald Trump’s unexpected win in the US
presidenal elecon have caused the decline of several stock market indices in the
a Faculty of Management, Mulmedia University, Persiaran Mulmedia, 63100 Cyberjaya, Selangor Darul
Ehsan, Malaysia. E-mail:hhgoh@mmu.edu.my (Corresponding author)
b Faculty of Management, Mulmedia University, Persiaran Mulmedia, 63100 Cyberjaya, Selangor Darul
Ehsan, Malaysia. E-mail:llchong@mmu.edu.my
c Faculty of Management, Mulmedia University, Persiaran Mulmedia, 63100 Cyberjaya, Selangor Darul
Ehsan, Malaysia. E-mail:mmlai@mmu.edu.my
Arcle Info: Received 25 April 2018; Revised 12 September 2018; Accepted 20 September 2018
hps://doi.org/10.22452/MJES.vol55no2.8
286 Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018
Han Hwa Goh, Lee Lee Chong and Ming Ming Lai
European nancial markets and global nancial markets over a short period of me.
The Malaysian stock market is not isolated from such external shocks and coupled
with the 1MDB scandal, investors’ confidence deteriorated while the ringgit has
been steadily declining over the past one and a half years, according to prominent
Malaysian economist Jomo Kwame Sundaram (Idris & Aziz, 2016). Up to date, no
convenonal nance theories, which perceive market to be raonal, can fully explain
the irraonalies of behaviour in the stock market. Standard asset pricing theories state
that asset prices are determined purely by investors’ unbiased cognive evaluaon
and maximisation of expected utility, and there is no role for investor sentiment
(Xu & Green, 2013). However, behavioural theories claim that investors may hold
fallacious stochasc beliefs, either with excessive opmism or pessimism, and therefore
inaccurately esmate asset value; hence asset prices to digress from their intrinsic
values (De Long, Shleifer, Summers, & Waldmann, 1990; Kumar & Lee, 2006; Lee,
Shleifer, & Thaler 1991). Posive senment spurs investors to be more condent about
their competence to assess situaons and thus more unhesitant to take risks; and vice
versa (Kuhnen & Knutson, 2011).
Asset valuaons are vital for investors to determine the value of a rm and thus
make an investment strategy. The capital asset pricing model (CAPM), propounded by
Sharpe (1964) and Lintner (1965), claims that there is a posive eect of the market
risk on the risk premium of nancial assets. Nonetheless, CAPM does not reect the
share return actually obtained on the equity market (Reinganum, 1981; Rosenberg,
Reid, & Lanstein, 1985). As such, Fama and French three-factor (hereaer F-F) model
(1993) is designed to augment the convenonal CAPM by including two factors of rm
size and book-to-market value. As evidenced by them in the US stock markets, the
returns of stocks of small capitalisaon and high book-to-market values are higher than
those of the CAPM. There has subsequently been extensive empirical work carried out
to evaluate the soundness of the F-F model, among others, Lawrence, Geppert and
Prakash (2007); Simpson and Ramchander (2008). In recent years, Fama and French
(2015) further developed a 5-factor model to explain average returns. However, the
two new factors (protability and investment) they have added to improve explanatory
power are relavely recent discoveries which are premature and the research of these
factors in dierent markets and me periods is sll limited. Thus far, Fama-French
5-factor model has been tested to Indian market (Harshita & Yadav, 2015) and Japan
market (Kubota & Takehara, 2017) besides the U.S.
Investors’ senment is ignored and not measured in tradional nance theories.
Nevertheless, recent studies have shown that markets are senment driven (Baker,
Wurgler, & Yuan, 2012; Yang & Zhang, 2014). Investors’ senment drives asset values
away from its fundamentals as evidenced by re-occurrence of market anomalies
and nancial turmoil. It is therefore important to quanfy investors’ senment and
capture it in asset valuaon in order to have ecient capital allocaon and opmal
cost of capital. However, very lile research have been done in modelling asset pricing
with investors’ senment in emerging markets which are perceived to be young and
underdeveloped with more noise traders compared to developed markets.
Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018 287
Senment-Augmented Asset Pricing in Bursa Malaysia
Unlike those mature markets in developed countries, the Malaysian stock market,
which is an emerging market, is inecient in the weak form and signicantly overreacts
to surprises in economic crisis and polical events (Ali, Nassir, Hassan, & Abidin, 2010).
The study of Lai, Tan and Chong (2013) also showed evidence with surveyed data that
both the instuonal and retail investors in Malaysia tend to overreact. The role of
investor senment is pernent in explaining market ineciency. Posive senment
encourages investors to take more risk as they have more condence whereas negave
senment will have the reverse impact (Kuhnen & Knutson, 2011). The linkage between
senment and stock return is hardly constant under dierent market circumstances
(Karakatsani & Salmon, 2008).
In the literature, investor senment consists of two measures, direct and indirect.
While indirect measures are proxies from market data, direct measures are the
surveyed data with direct contact with investors such as the American Associaon of
Individual Investors (AAII) and Investor Intelligence (II) which are only available in the
United States. We use the indirect measures in our study. Although there are a variety
of proxies for senment measures suggested by the behavioural pricing literature,
Baker and Wurgler (2006) stated that there are no uncontroversial and definitive
measures of senments. Our choice of senment indicators has, to a large extent,
been constrained by lack of data availability. As a result, we employ the following
proxies: number and return of inial public oerings (i.e. NIPO and RIPO) as employed
by Baker and Wurgler (2007), rao of advancers to decliners (ADR) by Brown and
Cli (2004) and consumer senment index (CSI) by Chen (2011), Fisher and Statman
(2003), Ho and Hung (2012), Hsu, Lin and Wu (2011), Jansen and Nahuis (2003), and
Schmeling (2009).
The role of senment on stock prices remains vague in theory and disputable in
empirical tests. This study is therefore crucial and mely in areas of asset valuaon and
porolio management. In this study, we aim to ulise a me-varying Markov regime-
switching model to examine the risk premiums of the F-F model when we employ four
dierent market senment proxies separately as a mediator of regime switches. We use
the F-F model in our study as it is globally recognised as a useful descripon of stock
returns. It is hoped that the empirical outcomes of this study oer an insighul view
and are able to help investors in the stock market assess risk premiums and thus stock
returns all the more precisely.
Overall, the contributions of this paper to the behavioural finance literature
especially from the Malaysian perspective are in the following aspects. Firstly, we
use a me-varying Markov-switching model to examine whether investor senment
changes play a mediang role in explanaon of regime-switching dynamics between
bear and bull market cycles in Malaysian stock returns. Besides, we unearth the
nonlinear associaon between stock return and three risk premiums of the F-F model.
Lastly, we test directly the market senment proxies individually instead of a single
composite index of senment as shown in most previous researches. The reasons for
doing so are twofold: rst to disclose dissimilaries in senment eects; and second,
to circumvent the replicaon problem over me that is usually an issue whenever the
principal components are employed to work out a composite index. The remainder of
this paper is structured as follows. The following secon presents the literature review
288 Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018
Han Hwa Goh, Lee Lee Chong and Ming Ming Lai
while secon 3 explains the data and methodology involved. Secon 4 illustrates and
discusses the empirical results and Secon 5 concludes the ndings.
2. Literature Review
The standard asset pricing theory explains that prices (and returns) of stocks should be
equal or close to their expected fundamental values and the returns rely only on the
cross-seconal systemac risks (Fama & French, 1993, 1995, 2012, 2015). Fama and
French (1993) ulised the overall market risk premium, size factor and book-to-market
rao to account for excess stock returns and they further developed a ve-factor model
to explain average returns in 2015.
A substanal body of empirical evidence in nance however reveals that stock
returns persistently deviate from their fundamentals, and further discloses that investor
senment aects the stock returns (Baker & Wurgler, 2006, 2007; Kim & Ha, 2010; Liao,
Huang, & Wu, 2011; Yang & Zhang, 2014). Behavioural theories postulate that investors
may develop erroneous beliefs and/or behavioural bias, either with undue opmism
or pessimism, about the future distribuon of returns on assets and subsequently
inaccurately assess the asset values, causing anomalies of prices from their intrinsic
values (De Long et al., 1990; Kumar & Lee, 2006; Lee et al., 1991). Only limited studies
have incorporated behavioural dimension in asset pricing models, among others,
Shefrin and Statman (1994), Statman, Fisher and Anginer (2008), Xu and Green (2013)
and Yang and Li (2013).
Prior empirical studies show that there is a significant influence of investor
senment on stock returns due to limited arbitrage acvies and investor irraonality.
Ho and Hung (2009) indicated that the effectiveness of asset pricing models in
explaining stock returns can be enhanced when investor senment is incorporated into
modelling the dynamics of risk exposures. The impacts of investor senment on stock
prices are studied by researchers in some countries who employ regression models with
aggregate or industrial-level data (Chen, Chen, & Lee, 2013; Schmeling, 2009; Zhang
& Semmler, 2009). Their empirical results have pointed to investor senment as the
cardinal agent of nonlinear and asymmetric stock returns. The link between senment
and stock returns is geng more complicated as suggested by mounng evidence. The
minimal eects of senment on the stock return may well be varying between regimes
of high and low senments (opmism and pessimism). Besides, McMillan (2003) and
Lee and Chiu (2012) suggested that owing to the existence of market fricon, cost of
transacon, as well as the interacve behaviour of informed and ‘noise’ investors, the
nancial markets may exhibit behaviour of nonlinearity.
A review of literature reveals that most of the studies done are focussed on
developed markets which have dierent market structure and characteriscs as com-
pared to emerging markets. Unlike those mature markets in developed countries, the
Malaysian capital market (an emerging economy) overreacts to surprises in domesc
polical events and is inuenced by external shocks such as SARS outbreak, September
11th terrorist aacksas cited by Ali et al. (2010). Schmeling (2009) revealed that the
impacts of senment on stock returns are more substanal for a naon which has less
market integrity or less ecient regulatory instuons.
Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018 289
Senment-Augmented Asset Pricing in Bursa Malaysia
3. Data and Methodology
3.1 Data
In conducng empirical esmaon, we collect the data on stocks which have been listed
for at least a year and traded on main board of Bursa Malaysia over the period January
2001 to December 2015. The market senment proxy data is also collected over the
same period. The rm and senment proxy data is largely taken from the data service
providers, i.e. Datastream and Bloomberg Inc. The 1997 Asian nancial crisis had caused
the stock markets of South East Asian region to collapse. Although there is no specic
date of full economic recovery, Angabini and Wasiuzzaman (2010) believed that the
economy almost recovered by the middle of year 2000. Hence, the invesgaon of
stock returns performance by adapng Fama and French three-factor model (1993) only
starts in January 2001.
3.2 Senment Proxies
For lack of data availability, our choice of market senment proxies has to a large
extent been constrained by the following: number and return of inial public oerings
(i.e. NIPO and RIPO), rao of advancers to decliners (ADR) and consumer senment
index (CSI).
It is oen assumed the underlying demand for inial public oerings (IPOs) is highly
sensive to investor senment. The prices of IPOs are normally put up aer having
consultaon with investment bankers who are well-versed in market situaons. Yet,
the puzzle of IPOs being under-priced to such a great extent sll remains unresolved.
Meanwhile, the volality of average rst-day returns can be strongly linked to the
number of IPOs and other proxies of senment that are not fundamentally related.
Brown and Cli (2004) stated that the relave market robustness measured in
buying–selling imbalance can be reected through the rao of advancers to decliners
(ADR). The number of advancing issues (advancers) is referred to as the total number
of shares in the Malaysian stock market whose closing prices at month-end are higher
than their opening prices at the beginning of the month, while the number of declining
issues (decliners) measures the opposite. In general, a larger value of the ADR in-
dicates a broader base of an upward trend, and thus a stronger underlying senment
of the market.
CSI is basically a fundamental indicator of economic senment. It has been issued
by the Malaysian Institute of Economic Research (MIER) since 1988. This index is
developed from quarterly surveys on over 1,200 domesc households. The range of
quesons in the survey covers the respondents’ both contemporary and ancipated
nancial condions, economic and job prospects as well as their purchase intenon
on houses and other major consumer durables. The CSI is also known as the consumer
condence index (CCI), which has been gaining in popularity as one of the proxies of
investor senment in the stock market. In recent years, there have been many empirical
studies carried out in developed markets showing that CCIs and stock returns are
signicantly related especially amid bear economic situaons.
290 Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018
Han Hwa Goh, Lee Lee Chong and Ming Ming Lai
3.3 Empirical Model
In the traditional Fama and French model, the expected excess returns on stock
porolios are a funcon of the porolios’ risk of three factors, i.e. the market, size and
value premiums, which can be wrien as follows:
(1)
where Ri,t – RFRt is the excess stock returns while RMt – RFRt, market premium,
measures the market porolio’s value weighted excess returns. The coecient αi is
alpha of the F-F model. SMBt is the size premium, measured by the variaons in returns
between a small capitalisaon porolio and a large capitalisaon porolio. HMLt is the
value premium, measured by the returns’ dierences between a porolio of high book-
to-market (value) stocks and a porolio of low book-to-market (growth) stocks. The
term ei,t is the residual. In the F-F model, it is esmated the coecients of SMBt and
HMLt to be posive, suggesng that small stocks and value stocks carry higher risks and
hence higher expected returns as compared to large stocks and growth stocks.
Starng from January 2001, for the size factor, all stocks listed on the main board
of Bursa Malaysia are sorted in descending order according to the values of market
capitalisaon from December 2000. The stocks are separated into 2 porolios, that is,
small (S) and big (B) market values. This forms the SMB factor. For the book-to-market
value (BM) factor, the previously formed two porolios of small and big market value
are further divided into 3 porolios, respecvely, that comprise high (H), medium (M),
and low (L). As a result, there are 6 size/BM porolios produced, i.e. S/H, S/M, S/L, B/H,
B/M, B/L. The value-weighted monthly returns are then esmated over next 12 months
for these 6 porolios and becomes the HML factor. This process of porolio formaon is
reformed and repeated each year unl December 2015.
For the sake of invesgang the dynamic nonlinear associaon between stock
return and 3 risk premiums of the F-F model, we adopt the two-state Markov switching-
AR(p) where the specicaons echo the original model of Hamilton (1989) but allow
the term of constant, slope coecients to be state-dependent (also known as regime-
dependent) as follows:
(2)
where rt indicates the excess stock returns, RMt is the market premium, SMBt is the
size premium, HMLt is the value premium and Ɛt is the innovaon process. The state
independent autoregressive component with an opmal lag order p, AR(p), is employed
to render the innovaon process white noise. While , and are respecvely the
state-dependent coecients of market premium, size premium and value premium,
is a regime-varying constant term. The unobservable state variable st is a latent indi-
cator variable which can take only 2 values: either 1 or 2. It is assumed the state variable
observes a rst-order Markov chain with a transion probability matrix as follows:
(3)
tititittiitti eHMLSMBRFRRMRFRR,3,2,1,,
P
i
tititStStSSt
rHMLSMBRMr
tttt
1
,
),0(...
2
Ndii
t
t
S
t
S
t
S
t
S
t
S
t
S
t
S
t
S
t
S
t
S
t
S
t
S
t
S
t
S
t
S
t
S
P=
PP
PP
11 11
22 22
1
1
−
−
Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018 291
Senment-Augmented Asset Pricing in Bursa Malaysia
where and .
These transion probabilies are held to be invariant with me as in the original
model of Hamilton. Nevertheless, in order to examine whether the changes in
senment play a mediang role in the regime switching dynamics between two states
of the stock market cycles in Bursa Malaysia, we consider a me-varying transion
probability Markov-switching (hereafter TVTP-MS) model, where the transition
probabilies are described as follows:
(4)
where and . Zt is the vector of
senment proxies that aect the likelihood of regime-switching. In our study, we use
four specicaons of the Z vector, whereby each Z vector includes the lagged values of
ADR, CSI, NIPO and RIPO, respecvely. In the TVTP-MS model, the transion probability
is specied in the following logisc funcon:
and (5)
Due to the presence of two regimes or states, we obtain two separate esmates of
– one for each regime. The regimes-switching probabilies are allowed to be varying
over me with the changes in investor senment, which are represented by four market
senment proxies.
4. Results and Discussions
4.1 Descripve Stascs
Table 1 summarises descripve stascs of stock excess returns (r), market premium
(RM), size premium (SMB), value premium (HML) and four market senment proxies.
Two variables of senment proxies (i.e. ADR and CSI) are transformed into logarithmic
form to compress the scale. Interesngly, the stock excess returns exhibit the mean
value below zero with the minimum of -22.935 and the maximum of 12.290 for the
sample period from January 2001 to December 2015. While the mean values of
1)1(
11
1tt
SSPP
2)2(
22 1tt SSPP
1)1(
11
1tt
SSPP
2)2(
22 1tt SSPP
P=
PP
PP
11 11
22 22
1
1
()
()
() ()
ZZ
ZZ
tt
tt
−
−
)11()(
11
t1ttt
ZSSPZP
)2,2()(
22
t1ttt
ZSSPZP
)11()(
11
t1ttt
ZSSPZP
)2,2()(
22
t1ttt
ZSSPZP
2
0
,1
2
0
,1
11
exp1
exp
)(
K
KtK
K
KtK
t
CI
CI
ZP
2
0
,2
2
0
,2
22
exp1
exp
)(
K
KtK
K
KtK
t
CI
CI
ZP
2
0
,1
2
0
,1
11
exp1
exp
)(
K
KtK
K
KtK
t
CI
CI
ZP
2
0
,2
2
0
,2
22
exp1
exp
)(
K
KtK
K
KtK
t
CI
CI
ZP
292 Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018
Han Hwa Goh, Lee Lee Chong and Ming Ming Lai
the RM and SMB are negave, the remainder show a posive value. Kurtosis is the
measurement of the “fatness” for a tail distribuon. All the series display a posive
excess kurtosis (i.e., leptokurtic distribution) over the sample period. This implies
that all the series’ distributions have higher peaks around the mean than normal
distribuon, which causes thick tails on both sides of the distribuon. The r, RM, ADR
and CSI series indicate negave skewness while SMB, HML and another two senment
proxies (NIPO and RIPO) series indicate posive skewness. In addion, Jarque-Bera
stasc denotes the goodness-of-t on whether the sample data has the skewness and
kurtosis to match a normal distribuon. From Table 1, the Jarque-Bera stasc signies
that the normality test is rejected at 1 percent signicance level for all the series during
the sample period.
4.2 Esmaon and Diagnoscs
We begin our empirical analysis by first testing whether the TVTP-MS model with
inclusion of four separate market senment proxies (i.e. ADR, NIPO, CSI and RIPO)
in its transion equaon provides a beer characterisaon of the stock returns in
Bursa Malaysia than the linear model and the Markov switching model with fixed
regime transion probabilies (FTP-MS). For the specicaons of both the TVTP-MS
and FTP-MS models, in accordance with the Akaike Informaon Criterion (AIC) and
Schwarz Criterion (SBC), we use TVTP-MS AR(4) specicaon, which is found to be
adequate to make the residuals white noise, for ADR and NIPO. Meanwhile, for CSI
and RIPO, the specicaon of TVTP-MS AR (3) is chosen. Besides, the number of lags
K for esmates of (i.e. four market senment proxies) is also selected based on the
Akaike Informaon Criterion (AIC) and Schwarz Criterion (SC). While the ADR and NIPO
enter the transacon equaon with 2 months lag, there is a 1 month lag for both CSI
and RIPO. Our models are in line with Schmeling’s (2009) study where the author
invesgated the relaon between investor senment and future stock returns for 18
industrialised countries and found that the predicve power of senment was most
pronounced for short-term horizons of 1 to 6 months.
Table 1. Summary stascs
r RM SMB HML ADR CSI NIPO RIPO
Mean -2.727 -2.398 -0.088 0.938 0.097 4.635 2.311 0.025
Maximum 12.290 10.770 9.765 14.047 1.798 4.821 13.000 3.782
Minimum -22.935 -20.110 -4.823 -6.166 -4.112 4.156 0.000 -0.976
Std. Dev. 5.323 4.231 2.282 2.688 0.991 0.148 2.430 0.633
Skewness -0.406 -0.500 0.744 0.663 -1.206 -1.472 1.838 1.830
Kurtosis 4.674 5.054 4.550 5.523 5.762 4.333 7.268 10.199
Jarque-Bera 25.965*** 39.131*** 34.628*** 60.949*** 100.824*** 78.319*** 237.944*** 489.119***
Observaons 180 180 180 180 180 180 180 180
Note: *** denotes signicance at 1 percent level.
Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018 293
Senment-Augmented Asset Pricing in Bursa Malaysia
Comparison among three models using model selection criteria is reported
in Tables A1, A2, A3 and A4 (see Appendix) for the four market senment proxies
respecvely. All the model selecon criteria conclude that TVTP-MS model is more
superior to both the linear and the FTS-MS models across four market sentiment
proxies. In addition, Table 2 shows that the data intensely rejects at 1 percent
signicance level the linear model in favour of the TVTP-MS model for all the panels, in
accordance with standard Likelihood Rao (LR) test.
As the sample is dichotomising into regimes that show increasing stock excess
returns and decreasing stock excess returns, the Markov-switching models are able to
idenfy two regimes which can be labelled as low mean (i.e. bear market) and high
mean (i.e. bull market) in which the eects of three risk factors (RM, SMB and HML)
of the F-F model on the stock excess returns dier signicantly, as exhibited in Table
2. Interesngly, the two mean regimes idened by the model show negave values
but dierences in the magnitude. The negavity of the mean is in agreement with
the results of Lai et al. (2013) in their examinaon of the F-F model in Bursa Malaysia
between January 1996 and December 2005.
The esmaon results in Table 2 show that on the whole all the senment proxies,
with the only excepon of RIPO, do somewhat aect the probabilies of switching
between regimes. Specically, the senment proxy of NIPO has exerted an inuence on
both regime transion probabilies of the bull and the bear markets. Meanwhile, ADR
and CSI are seen to aect only the regime transion probabilies of the bull market and
the bear market, respecvely.
In high mean regime (i.e. bull market), all the separate sentiment proxies’ co-
ecients () are posive, implying that increases in investors’ posive senment would
raise the probability of being in the high mean regime (i.e. bull market). Conversely, the
negave coecient of as exhibited by all the senment proxies in the regime of low
mean (i.e. bear market) signies that an increase in investors’ posive senment would
cause a decline in the probability of being in the low mean regime (i.e. bear market).
When comparing the absolute values of the coefficients of for all the sentiment
proxies between the high mean regime (i.e. bull market) and low mean regime (i.e. bear
market), it is revealed that the laer is higher than the former. The result implies that
when there is an increase in posive senment of the investors, the probability of the
stock returns moving from bear market into bull market is higher than the probability
of the stock returns staying in the bull market. In other words, an increase in posive
sentiment of investors leads to a higher transition probability of regime switching
during bear market.
For the esmated market premiums as shown in Panels A to D in Table 2, the
posive market premiums are not only in line with the convenonal empirical results
of the F-F model but also varying with me. The esmated market premiums in the
bull market are signicantly larger than that of the bear market. Besides, the market
premiums shown in the four panels are all greater than one in the bull market, implying
that the stock prices in the Bursa Malaysia encounter higher volality than the market
porolio index.
With regard to the estimation results of size premium, the size premiums are
posive and signicant in both regimes, consistent with the line of reasoning in the
294 Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018
Han Hwa Goh, Lee Lee Chong and Ming Ming Lai
Table 2. TVTP-MS model results (with four market senment proxies in the separate transion
equaon)
Panel A: ADR Panel B: NIPO
TVTP-MS-AR(4) model TVTP-MS-AR(4) model
Regime 1: Regime 2: Regime 1: Regime 2:
High mean Low mean High mean Low mean
Parameters Esmate Esmate Esmate Esmate
α -0.47 (0.24)* -1.85 (0.35)*** -0.72 (0.33)** -1.34 (0.29)***
βRM 1.01 (0.05)*** 0.70 (0.08)*** 1.00 (0.07)*** 0.79 (0.06)***
δSMB 0.40 (0.08)*** 1.37 (0.18)*** 0.27 (0.15)* 0.88 (0.10)***
θHML 0.41 (0.08)*** 0.63 (0.13)*** 0.24 (0.09)** 0.74 (0.09)***
ρ1 -0.14 (0.10) 0.03 (0.09)
ρ2 0.05 (0.09) 0.02 (0.08)
ρ3 0.16 (0.08)** 0.20 (0.08)**
ρ4 -0.05 (0.08) -0.14 (0.08)*
σ 0.54 (0.06)*** 0.58 (0.06)***
Regime parameters
(ADRt–2) 2.50 (1.08)** -8.61 (11.52)
(NIPOt–2) 0.46 (0.26)* -0.57 (0.32)*
Log-likelihood -357.42 -357.73
LR test 73.95 [0.00]*** 71.62 [0.00]***
J-B 3.26 [0.20] 2.04 [0.36]
Q(10) 4.02 [0.67] 9.15 [0.17]
Q2(10) 7.76 [0.65] 5.56 [0.85]
Panel C: CSI Panel D: RIPO
TVTP-MS-AR(3) model TVTP-MS-AR(3) model
Regime 1: Regime 2: Regime 1: Regime 2:
High mean Low mean High mean Low mean
Parameters Esmate Esmate Esmate Esmate
α -0.32 (0.18)* -1.57 (0.41)*** -0.34 (0.33) -1.54 (0.3 8)***
βRM 1.07 (0.06)*** 0.69 (0.08)*** 1.08 (0.07)*** 0.69 (0.08)***
δSMB 0.44 (0.09)*** 1.40 (0.18)*** 0.41 (0.10)*** 1.25 (0.17)***
θHML 0.52 (0.09)*** 0.59 (0.10)*** 0.41 (0.14)*** 0.60 (0.09)***
ρ1 0.05 (0.09) 0.02 (0.09)
ρ2 -0.08 (0.09) -0.06 (0.09)
ρ3 0.08 (0.09) 0.12 (0.10)
σ 0.54 (0.07)*** 0.54 (0.07)***
Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018 295
Senment-Augmented Asset Pricing in Bursa Malaysia
F-F model that small capitalisaon stocks generate bigger returns than those of large
capitalisaon. The esmated size premiums are also found to be me-varying instead of
me-invariant. Addionally, the results show that small rms seem to be able to obtain
more size premium in the low mean regime (i.e. bear market) compared to the high
mean regime (i.e. bull market). It is probably jusable that in the midst of a negave
market senment in the bear market, small rms are able to adjust their operaonal
strategies more swily and easily than large rms.
The value premiums exhibited in Table 2 are all significantly positive in both
regimes, in line with the standard empirical analyses of F-F model and most of its
advocates that value stocks (which are of more wholesome operang structure and
system) generate higher returns than growth stocks. Again, the value premiums are
seen to be me-varying. Interesngly, the results of the esmated value premium show
that the value premiums are increasing in the low mean regime (i.e. bear market).
To put it simply, investors are more aracted to the value stocks in the situaon of
negave market senment during the bear market.
Figure 1 plots the ltered transion probabilies for TVTP-MS model with inclusion
of four separate market senment proxies in its transion equaon in the low mean
regime (i.e. bear market). When the probabilies are above 0.5, the Bursa Malaysia is
more likely to be in a bear market and vice versa. As noced in Figure 1, the TVTP-MS
model is able to well capture some major and crical episodes in the regional or global
economy such as the 2003 Iraq war, the 9.3 magnitude earthquake in Southeast Asia in
December 2004, the 2007-2009 Global Financial Crisis (GFC) as well as the 2011-2012
European Sovereign Debt Crisis.
Table 2. Connued
Panel C: CSI Panel D: RIPO
TVTP-MS-AR(3) model TVTP-MS-AR(3) model
Regime 1: Regime 2: Regime 1: Regime 2:
High mean Low mean High mean Low mean
Parameters Esmate Esmate Esmate Esmate
Regime parameters
(CSIt–1) 2.56 (3.19) -28.46 (11.81)**
(RIPOt–1) 0.21 (1.09) -1.01 (1.12)
Log-likelihood -369.22 -369.96
LR test 62.16 [0.00]*** 60.13 [0.00]***
J-B 1.42 [0.49] 1.98 [0.37]
Q(10) 10.47 [0.16] 5.29 [0.63]
Q2(10) 10.84 [0.37] 7.45 [0.68]
Notes: J-B stands for the Jarque-Bera normality test, Q(10) and Q2(10) indicates the Box-Pierce serial
correlaon test for residuals and squared residuals, respecvely. Figures in parentheses and square
brackets are standard errors and ρ-values, respecvely. ***, ** and * denote stascal signicance at
1%, 5% and 10% levels, respecvely. The number of lag K for esmates of
is selected based on the
Akaike Informaon Criterion (AIC) and Schwarz Criterion (SC).
296 Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018
Han Hwa Goh, Lee Lee Chong and Ming Ming Lai
Figure 1. Filtered transion probabilies for TVTP-MS model (with four separate market senment proxies)
Panel A: ADR Panel B: NIPO
Panel C: CSI Panel D: RIPO
Malaysian Journal of Economic Studies Vol. 55 No. 2, 2018 297
Senment-Augmented Asset Pricing in Bursa Malaysia
5. Conclusion
In this study, we empirically look into the nonlinear eects of investor senment on
asset pricing in Bursa Malaysia. In parcular, we employ two-state TVTP-MS model for
re-examining the F-F model’s three risk premiums when four dierent market senment
proxies are ulised as a mediator of regime switches. To the best of our knowledge,
our study is the rst in Malaysian literature to focus explicitly on the role of investor
sentiment using market sentiment proxies individually in explaining stock market
regimes and regime switches.
On the whole, all the model selecon criteria conclude that the two-state TVTP-MS
model is more superior to both the linear and the FTS-MS models across four market
senment proxies. The empirical results of the TVTP-MS model indicate that to some
extent changes in senment play a mediang role in the regimes-switching dynamics
betweenbear and bull market cycles in Malaysian stock returns. Moreover, our study
shows that an increase in positive sentiment of investors would result in a higher
transion probability of regime switching during bear markets. It is also found that
the lead mes from the four market senment proxies to the stock returns in Bursa
Malaysia are on average within one to two months.
In addion, the results from our TVTP-MS model illustrate that the F-F model’s
three risk premiums are me-varying. The market premium falls as the stock market
switches from bull to bear periods. On the contrary, both the size and value premiums
increase when the stock market moves from bull to bear periods. It is therefore well
advised that investors in Bursa Malaysia should adjust their investment portfolios
conngent on each period’s esmated risk premiums.
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Appendix
Table A1. A comparison of models via model selecon criteria for stock returns in Bursa Malaysia
Linear model FTP-MS AR(4) TVTP-MS AR(4) with ADR
Log-likelihood -403.8853 -366.9890 -357.4154*
AIC 4.587614 4.340784 4.254721*
SBC 4.747262 4.610996 4.560961*
HQ 4.652344 4.450380 4.378930*
Note: * The best model with relavely small AIC/SBC/HQ but relavely high log-likelihood. The TVTP-MS
model specicaon and the esmatesare reported in Panel A, Table 2. The esmates for both the
FTP-MS and the linear models are available upon request.
Table A2. A comparison of models via model selecon criteria for stock returns in Bursa Malaysia
Linear model FTP-MS AR(4) TVTP-MS AR(4) with NIPO
Log-likelihood -403.8853 -366.9890 -357.7290*
AIC 4.587614 4.340784 4.258284*
SBC 4.747262 4.610996 4.564524*
HQ 4.652344 4.450380 4.382493*
Note: * The best model with relavely small AIC/SBC/HQ but relavely high log-likelihood. The TVTP-MS
model specicaon and the esmates are reported in Panel B, Table 2. The esmates for both the
FTP-MS and the linear models are available upon request.
Table A3. A comparison of models via model selecon criteria for stock returns in Bursa Malaysia
Linear model FTP-MS AR(3) TVTP-MS AR(3) with CSI
Log-likelihood -403.8898 -381.2864 -369.2201*
AIC 4.576554 4.466513 4.352769*
SBC 4.718463 4.717734 4.639879*
HQ 4.634092 4.568399 4.469210*
Note: * The best model with relavely small AIC/SBC/HQ but relavely high log-likelihood. The TVTP-MS
model specicaon and the esmates are reported in Panel C, Table 2. The esmates for both the
FTP-MS and the linear models are available upon request.
Table A4. A comparison of models via model selecon criteria for stock returns in Bursa Malaysia
Linear model FTP-MS AR(3) TVTP-MS AR(3) with RIPO
Log-likelihood -403.8898 -381.2864 -369.9547*
AIC 4.576554 4.466513 4.325144*
SBC 4.718463 4.717734 4.648180*
HQ 4.634092 4.568399 4.477511*
Note: * The best model with relavely small AIC/SBC/HQ but relavely high log-likelihood. The TVTP-MS
model specicaon and its esmates are reported in Panel D, Table 2. The esmates for both the
FTP-MS and the linear models are available upon request.