변동성 스큐를 통한 주가지수 점프예측력 검증

다국어 초록 (Multilingual Abstract)

This paper investigates whether the volatility skew has predictive information about the jumps of stock index. When estimating volatility skew, we use three different methodologies, Doran, Peterson and Tarrant(2007), Corrado and Su(1996), Bakshi, Kapadia and Madan(2003) models to give more robustness to this paper. We categorized jumps on the base of the percentage change in stock index over a previous day. Additionally, We employ Lee and Mykland(2006) methodology which isolate the volatility effects on jumps. Followings are the major findings and implications drawn from the empirical analysis of the Korean options market. First of all, Bakshi, Kapadia and Madan(2003) skew and Corrado and Su (1996) skew has power in predicting the market crash while does not have for the market spikes. As for Doran, Peterson and Tarrant(2007) skew, put volatility skew has some information about downward market crash while call volatility skew has for upward market spikes. However, the predictive power of put volatility skew is stronger than that of call volatility skew. Second, the predictive power of volatility skew for forecasting the jumps of underlying assets weakens as time to maturity of options increases while implied volatility has still predictive power in the longer maturity options. Third, as a result of conducting probit model using LM jump, we find that the volatility skew still has predictive information for forecasting the movements of underlying assets under controlling volatility impact on jumps. In contrast with Doran, Peterson and Tarrant(2007), we observe that there is some information about future market movements in the volume variable and the predictive power of the volume variable is getting stronger as it is expected to be rather larger market movements. Also, put volume has more information contents in forecasting market spikes or crash than call volume does.

참고문헌 (Reference)

• 1 김솔, "콜/풋옵션 거래금액 비율의 정보효과" 한국파생상품학회 15 (15): 31-53, 2007
• 2 홍성희, "주가지수 선물, 주가지수 옵션, 주식 현물의 상호 작용에 대한 재조명" 113-149, 1998
• 3 김솔, "위험중립분포 왜도ㆍ첨도의 상대적 중요성：Corrado and Su(1996) 모형을 이용한 옵션 가격 예측" 한국파생상품학회 16 (16): 1-20, 2008
• 4 김솔, "위험중립분포 왜도·첨도의 옵션가격결정에 대한 영향력" 한국파생상품학회 14 (14): 21-51, 2006
• 5 김찬웅, "우리나라 주식, 선물, 옵션시장에서의 선도/지연효과에 관한 연구" 18 (18): 129-156, 2001
• 6 강장구, "옵션시장에서 GARCH계열 모형들의 성과 비교에 관한 연구" 한국증권학회 38 (38): 137-176, 2009
• 7 김서경, "내재주가지수를 이용한 옵션시장과 주식시장의 상호관계에 관한 실증연구" 한국증권학회 33 (33): 95-122, 2004
• 8 Chan, K., "Why option prices lag stock prices: A trading based explanation" 48 (48): 1957-1967, 1993
• 9 Kawaller, L, "The temporal price relationship between S&P500 futures and S&P 500 index" 42 (42): 1309-1329, 1987
• 10 Chan, L, "The risk and return from factors" 33 (33): 159-188, 1998
• 11 Black, F, "The pricing of options and corporate liabilities" 81 (81): 637-659, 1973
• 12 Doran, J, "The market price of volatility risk" Florida State University 2005
• 13 Pan, J, "The jump-risk premia implicit in options: Evidence from an integrated time-series study" 63 (63): 3-50, 2002
• 14 Anthony, J. H, "The interrelation of stock and options market trading-volume data" 43 (43): 949-964, 1988
• 15 Chan, K., "The informational role of stock and option volume" 15 (15): 1049-1075, 2002
• 16 Stoll, R. H., "The dynamics of stock index and stock index futures returns" 25 (25): 441-468, 1990
• 17 Bates, D., "The crash of 1987: Was it expected? The evidence from options markets" 46 (46): 1009-1044, 1991
• 18 Bakshi, G., "Stock return characteristics, skew laws, and differential pricing of individual equity options" 16 (16): 101-143, 2003
• 19 Corrado, C. J., "Skewness and kurtosis in S&P 500 index returns implied by option prices" 19 (19): 175-192, 1996
• 20 Brown, C. A., "Skewness and kurtosis implied by option prices: A correction" 25 (25): 279-282, 2002
• 21 Jackwerth, J. C, "Recovering risk aversion from option prices and realized returns" 13 (13): 433-451, 2000
• 22 Jackwerth, J. C, "Recovering probability distributions from option prices" 51 (51): 1611-1631, 1996
• 23 Bakshi, G., "Pricing and hedging long-term options" 94 (94): 277-318, 2000
• 24 Bhattacharya, M, "Price changes of related securities: The case of call options and stocks" 22 (22): 1-15, 1987
• 25 Bates, D., "Post-87 crash fears in the S&P500 futures options market" 94 (94): 181-238, 2000
• 26 Easley, D., "Option volume and stock prices: Evidence on where informed traders trade" 53 (53): 431-465, 1998
• 27 Manaster, S., "Option prices as predictors of equilibrium stock prices" 37 (37): 1043-1058, 1982
• 28 Carr, P., "Optimal positioning in derivative securities" 1 (1): 19-37, 2001
• 29 Kim, I. J., "On the usefulness of implied risk neutral distributions: Evidence from Korean KOSPI 200 index options market" 6 (6): 93-110, 2003
• 30 Giot, P, "On the relationships between implied volatility indices and stock index returns" 31 (31): 92-100, 2005
• 31 Das, S., "Of smiles and smirks: A term structure perspective" 1 : 60-72, 1999
• 32 Harrison, M., "Martingales and Arbitrage in multi period securities markets" 20 (20): 381-408, 1979
• 33 Vijh, A. M., "Liquidity of the CBOE equity options" 45 (45): 1157-1179, 1990
• 34 Kim, S, "Lead-lag relationship between volatility skew and returns: Evidence from KOSPI 200 intraday options data" Hankook University of Foreign Studies Working Paper 2010
• 35 Hansen, L. P., "Large sample properties of generalized method of moments estimators" 50 (50): 1029-1054, 1982
• 36 이재하, "KOSPI200 현물 및 옵션시장에서의 수익률과 거래량간의 선도-지연관계" 한국파생상품학회 15 (15): 121-144, 2007
• 37 김무성, "KOSPI 200 지수옵션시장에서 모멘텀 기대의 영향" 한국증권학회 39 (39): 225-265, 2010
• 38 Lee, S, "Jumps in real-time financial markets: A new nonparametric test and jump dynamics" 21 (21): 2535-2563, 2006
• 39 Doran, J. S., "Is there information in the volatility skew" 27 (27): 921-959, 2007
• 40 Kim, I. J, "Is it important to consider the jump component for pricing and hedging short-term options?" JOHN WILEY & SONS INC 25 : 989-1009, 2005
• 41 Stephan, J. A, "Intraday price change and trading volume relations in the stock and option markets" 45 (45): 191-220, 1990
• 42 Chakravarty, S, "Informed trading in stock and option markets" 59 (59): 1235-1257, 2004
• 43 Banerjee, R, "Implied volatility and future portfolio returns" 31 : 3183-3199, 2006
• 44 Rubinstein, M. E, "Implied Binomial Trees" 69 (69): 771-818, 1994
• 45 Doran, J. S, "Implications for asset returns in the implied volatility skew" 66 (66): 65-76, 2010
• 46 Newey, K, "Hypothesis testing with efficient method of moments estimation" 28 (28): 777-787, 1987
• 47 Jiang, G. J., "Gauging the ‘Investor Fear Gauge’: Implementation problems in the CBOE’s new volatility index and a simple solution" 14 (14): 35-60, 2007
• 48 Evans, R., "Failure is an option: Impediments to short selling and options prices" 22 (22): 1955-1980, 2005
• 49 Bakshi, G., "Empirical performance of alternative option pricing models" 52 (52): 2003-2049, 1997
• 50 Kim, I. J, "Empirical comparison of alternative stochastic volatility option pricing models: Evidence from Korean KOSPI 200 index options market" 12 (12): 117-142, 2004
• 51 Bollen, N. P. B, "Does net buying pressure affect the shape of implied volatility functions" 59 (59): 711-753, 2004
• 52 Garleanu, N., "Demand-based option Pricing" 22 (22): 4259-4299, 2009
• 53 Estrella, A., "Consistent covariance matrix estimation in probit models with autocorrelated errors" 39 : 1-23, 1998
• 54 Duan, J., "An analytical approximation for the GARCH option pricing model" 75-116, 1999
• 55 Chan, K., "A further analysis of the lead-lag relationship between the cash market and stock index futures market" 5 (5): 123-152, 1992
• 56 Heston, S., "A closed form GARCH option pricing model" 13 : 585-625, 2000