Sains Malaysiana 38(4)(2009):
567–575
Financial
Risk Evaluations in Malaysian Stock Exchange using Extreme-Value-Theory and Component-ARCH Model
(Penilai Risiko Kewangan Bursa Saham
Malaysia dengan Penggunaan
Teori-Nilai-Melampau dan Model Komponen-ARCH)
Chin Wen Cheong*
Faculty of Information Technology
Multimedia University, 63100 Cyberjaya, Selangor D.E., Malaysia
Zaidi Isa
Faculty of Science and Technology
Universiti Kebangsaan Malaysia 43600 Bangi, Selangor D.E., Malaysia
Abu Hassan Shaari Mohd Nor
Faculty of Economics and Business, Universiti Kebangsaan Malaysia
43600 Bangi, Selangor D.E., Malaysia
Diserahkan: 11 Ogos 2008 / Diterima: 16 September 2008
ABSTRACT
This study
investigates the value-at-risk (VaR) using nonlinear time-varying volatility (ARCH model) and extreme- value-theory (EVT) methodologies. Similar VaR estimation and
prediction are observes under the EVT and heavy-tailed long-memory ARCH approaches. The empirical results evidence the EVT-based VaR are more accurate but only at higher
quantiles. It is also found that EVT approach is able to provide a convenient framework for asymmetric
properties in both the lower and upper tails which implies that the risk and
reward are not equally likely for the short- and long-trading positions in
Malaysian stock market.
Keywords: ARCH; heavy-tail distribution; long-persistence
volatility; value-at-risk
ABSTRAK
Kajian ini
dijalankan untuk menentukan value-at-risk (VaR) dengan menggunakan model ARCH dan model teori-nilai- melampau (EVT). Keserupaan nilai-nilai
pengganggaran dan peramalan dicerap di bawah kedua-dua metodologi tersebut. Keputusan empirik mendapati VaR berdasarkan EVT adalah lebih tepat tetapi hanya
pada kuantil yang tinggi. Adalah juga didapati
pendekatan EVT berkebolehan menyediakan
satu kerangka yang sesuai bagi menangani asimetrik di kedua-dua taburan hujung
di mana risiko dan ganjaran adalah tidak setara bagi posisi perdagangan jangka
pendek dan panjang di bursa saham Malaysia.
Kata kunci: ARCH; kesan kegigihan kemeruapan; taburan hujung berat;
value-at-risk
RUJUKAN
Abu Hassan, S.M.N.
& Cheong, C.W. 2006. Long memory and asymmetric volatility behaviour
of the Malaysian stock market: a statistical modelling approach. Sains
Malaysiana 35: 67-73.
Baillie, R.T.,
Bollerslev, T. & Mikkelsen, H.O. 1996. Fractionally integrated
autoregressive conditional heteroscedasticity. Journal of
Econometrics 74: 3-30.
Barndorff-Nielsen,
O.E. 1997. Normal inverse Gaussian distributions and the modelling of
stock returns. Scandinavian Journal of Statistics 24: 1-13.
Bollerslev, T. 1987. A conditional
heteroskedastic time series model for speculative prices and rates of return. Review
of Economics and Statistics 69: 542-547.
Brooks, R. 2007. Power
arch modelling of the volatility of emerging equity markets. Emerging
Markets Review 8: 124-133.
Cajueiro, D.O.
& Tabak, B.M. 2005. Ranking efficiency for emerging
market II. Chaos, Solitons & Fractals 23:
671- 675.
Cheong, C.W., Abu
Hassan, S.M.N. & Zaidi, I. 2006. An empirical study of volatility
spillovers across the Malaysian stock indices. Asian-studies
Monthly, Asian-studies Full-text online.
Cheong, C.W., Abu
Hassan, S.M.N. & Zaidi, I. 2007. Asymmetry and long memory volatility: some
empirical evidence using GARCH. Physica A 337: 651-664.
Ding Z. & Granger, C.W.J. 1996. Modeling volatility persistence of speculative returns: a new
approach. Journal of Econometrics 73: 185-215.
Ding, Z., Granger, C.W.J. & Engle, R.F.
1993. A Long Memory Property of Stock Market Returns and a
New Model. Journal of Empirical Finance 1: 83-106.
Da Silva, A.L.C.
& De Melo Mendes, B.V. 2003. Value-at-risk an extreme returns in Asain
stock markets. International Journal of Business 8: 17-40.
Embrechts, P., Resnick, S. &
Samorodnitsky, G. 1999. Extreme value theory as a risk
management tool. North American Actuarial Journal 3: 30-41.
Engle, R.F. &
Lee, G.G.J. 1999. A long-run and sort-run
component model of stock return volatility. In cointegration,
causality and forecasting, Engle & White(eds.).
Oxford: Oxford University Press.
Engle, R.R. & Ng, V. 1993. Measuring and testing the impact of news on volatility. Journal
of Finance 48: 1749-1778.
Fase, M. M. G.
& Abma, R.C.N. 2003. Financial environment and economic growth in
selected Asian countries. Journal of Asian Economics 14: 11-21.
Fernandez, V.
2004. Risk management under extreme events. International
Review of Financial Analysis 14: 113-148.
Giot, P. & Laurent, S. 2004. Modelling
daily Value-at-Risk using realized volatility and ARCH type models. Journal
of Empirical Finance 11: 379-398.
Ho, L.C., Burridge, P., Cadle, J. &
Theobald, M. 2000. Value-at- risk:
applying the extreme value approach to Asian markets in the recent financial
turmoil. Pacific-Basin Finance Journal 8: 249-275.
Hurst H.E. 1951. Long term storage capacity of reservoirs. Transaction of
the American Society of Civil Engineers 116: 770-799.
Jorion, P. 1997. Value at Risk: The New
Benchmark for Controlling Market Risk. The McGraw-hill Company: Chicago.
Khalid, A. M. & Kawai, M. 2003. Was
financial market contagion the source of economic crisis in Asia? Evidence using a multivariate VAR model. Journal of Asian
Economics 14: 131-156.
Kok, K.L. &
Lee, F.F. 1994. Malaysian second board stock market and the
efficient market hypothesis. Malaysian Journal of Economic Studies 31: 1-13.
Lim, K.P.,
Habibullah, M.S. & Lee, H.A. 2003. A BDS test of random walk
in the Malaysian stock market. Labuan Bulletin of International
Business and Finance 1: 29-39.
Longin, F. 2000. From
Value-at-Risk to Stress testing: The Extreme Value Approach. Journal of
Banking and Finance 24: 1097-1130.
Markowitz. H.M. 1959. Portfolio Selection: Efficient Diversification of Investments. New York:
John Wiley & Sons.
McNeil A.J. 1999. Extreme
value theory for risk managers. Internal Modelling CAD II, Risk
Books: 93-113.
McNeil, A.J. 1998. Calculating quantile
risk measures for financial return series using extreme value theory. Department of Mathematic, ETH, Zentrum, Zurich.
Miller M.H.,
Muthuswamy, J. & Whaley, R.E. 1994. Mean reversion of Standard and Poor 500
index basis changes:
Arbitrage-induced
or statistical illusion? Journal of Finance 49: 479-513.Ding Z.
& Granger, C.W.J. 1996. Modeling volatility persistence
of speculative returns: a new approach. Journal of Econometrics 73: 185-215.
Ding, Z., Granger, C.W.J. & Engle, R.F.
1993. A Long Memory Property of Stock Market Returns and a
New Model. Journal of Empirical Finance 1: 83-106.
Da Silva, A.L.C.
& De Melo Mendes, B.V. 2003. Value-at-risk an extreme returns in Asain
stock markets. International Journal of Business 8: 17-40.
Embrechts, P., Resnick, S. &
Samorodnitsky, G. 1999. Extreme value theory as a risk
management tool. North American Actuarial Journal 3: 30-41.
Engle, R.F. &
Lee, G.G.J. 1999. A long-run and sort-run
component model of stock return volatility. In cointegration,
causality and forecasting, Engle & White(eds.).
Oxford: Oxford University Press.
Engle, R.R. & Ng, V. 1993. Measuring and testing the impact of news on volatility. Journal
of Finance 48: 1749-1778.
Fase, M. M. G.
& Abma, R.C.N. 2003. Financial environment and economic growth in
selected Asian countries. Journal of Asian Economics 14: 11-21.
Fernandez, V.
2004. Risk management under extreme events. International
Review of Financial Analysis 14: 113-148.
Giot, P. & Laurent, S. 2004. Modelling
daily Value-at-Risk using realized volatility and ARCH type models. Journal
of Empirical Finance 11: 379-398.
Ho, L.C., Burridge, P., Cadle, J. &
Theobald, M. 2000. Value-at- risk:
applying the extreme value approach to Asian markets in the recent financial
turmoil. Pacific-Basin Finance Journal 8: 249-275.
Hurst H.E. 1951. Long term storage capacity of reservoirs. Transaction of
the American Society of Civil Engineers 116: 770-799.
Morgan J.P. 1996. RiskMetricsTM – Technical Document. New York.
Muller, U.A., Dacorogna, M.M. & Pictet, O.V. 1998. Heavy tails in
high-frequency financial data. In. Adler, R.J., Feldman, R.E, Taqqu,
M.S. (Eds.). Birkhauser, Boston: 55-77.
Nam, K., Pyun, C.S.
& Kim S.W. 2003. Is asymmetric mean- reverting pattern in stock returns systematic? Evidence from Pacific-basin markets in the short-horizon. Journal
of International Financial Markets, Institutions and Money 13: 481-502.
Pictet O.V.,
Dacorogna, M.M. & Muller, U.A. 1998. Hill, bootstrap and jackknife estimators
for heavy tails. In: Taqqu, M.S. (Eds.), Birkhauser, Boston, 283-310.
Ramazan, G. &
Faruk S. 2004. Extreme value theory and Value-at-Risk: Relative performance
in emerging markets. International Journal of Forecasting 20: 287-303.
Samuel, K. &
Saralees, N. 2000. Extreme Value Distributions: Theory and
Applications. London: Imperial College Press.
So, M.K.P. &
Yu, P.L.H. 2006. Empirical analysis of GARCH models in value at risk
estimation. Journal of International Financial, Markets, Institutions and
Money 16: 180-197.
Tse, Y. 1998. The
conditional heteroscedasticity of the Yen- Dollar exchange rate. Journal
of Applied Econometrics 193: 49-55.
Urrutia, J.L. 1995. Tests
of random walk and market efficiency for Latin American emerging markets. Journal of Financial Research 18: 299-309.
Wu, P.T. &
Shieh, S.J. 2007. Value-at-risk analysis for long- term interest rate futures: fat-tail and
long memory in return innovations. Journal of Empirical Finance 14:
248-259.
*Pengarang untuk surat-menyurat; email: wcchin@mmu.edu.my
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