메뉴 건너뛰기




Volumn 5, Issue 2, 2007, Pages 189-218

A semiparametric factor model for implied volatility surface dynamics

Author keywords

Functional principal component analysis; Implied volatility surface; Semiparametric factor models

Indexed keywords


EID: 34047220176     PISSN: 14798409     EISSN: 14798417     Source Type: Journal    
DOI: 10.1093/jjfinec/nbm005     Document Type: Article
Times cited : (78)

References (79)
  • 1
    • 0347354948 scopus 로고    scopus 로고
    • "Nonparametric option pricing under shape restrictions"
    • Aït-Sahalia, Yacine, and Jefferson Duarte. (2003). "Nonparametric option pricing under shape restrictions." Journal of Econometrics 116, 9-47.
    • (2003) Journal of Econometrics , vol.116 , pp. 9-47
    • Aït-Sahalia, Y.1    Duarte, J.2
  • 2
    • 0039505965 scopus 로고    scopus 로고
    • "Nonparametric estimation of state-price densities implicit in financial asset prices"
    • Aït-Sahalia, Yacine, and Andrew Lo. (1998). "Nonparametric estimation of state-price densities implicit in financial asset prices." Journal of Finance 53, 499-548.
    • (1998) Journal of Finance , vol.53 , pp. 499-548
    • Aït-Sahalia, Y.1    Lo, A.2
  • 3
    • 18044400024 scopus 로고    scopus 로고
    • "Do options markets correctly price the probabilities of movement of the underlying asset?"
    • Aït-Sahalia, Yacine, Yubo Wang, and Francis Yared. (2001). "Do options markets correctly price the probabilities of movement of the underlying asset?" Journal of Econometrics 102, 67-110.
    • (2001) Journal of Econometrics , vol.102 , pp. 67-110
    • Aït-Sahalia, Y.1    Wang, Y.2    Yared, F.3
  • 5
    • 0003911421 scopus 로고    scopus 로고
    • John Wiley & Sons, New York
    • Alexander, Carol. (2001). Market Models, John Wiley & Sons, New York.
    • (2001) Market Models
    • Alexander, C.1
  • 6
    • 34047203328 scopus 로고    scopus 로고
    • "Model-free hedge ratios and scale-invariant models"
    • Forthcoming
    • Alexander, Carol, and Leonardo M. Nogueira. (2007). "Model-free hedge ratios and scale-invariant models." Journal of Banking and Finance. Forthcoming.
    • (2007) Journal of Banking and Finance
    • Alexander, C.1    Nogueira, L.M.2
  • 7
    • 0030537138 scopus 로고    scopus 로고
    • "GMM estimation of a stochastic volatility model: A Monte Carlo study"
    • Andersen, Torben G., and Bent E. Sørensen. (1996). "GMM estimation of a stochastic volatility model: A Monte Carlo study." Journal of Business and Economic Statistics 14, 328-352.
    • (1996) Journal of Business and Economic Statistics , vol.14 , pp. 328-352
    • Andersen, T.G.1    Sørensen, B.E.2
  • 8
    • 0002775221 scopus 로고    scopus 로고
    • "Efficient method of moments estimation of a stochastic volatility model: A Monte Carlo study"
    • Andersen, Torben G., Hyung-Jin Chung, and Bent E. Sørensen. (1999). "Efficient method of moments estimation of a stochastic volatility model: A Monte Carlo study." Journal of Econometrics 91, 61-87.
    • (1999) Journal of Econometrics , vol.91 , pp. 61-87
    • Andersen, T.G.1    Chung, H.-J.2    Sørensen, B.E.3
  • 9
    • 0034412341 scopus 로고    scopus 로고
    • "Do call and underlying prices always move in the same direction?"
    • Bakshi, Gurdip, Charles Cao, and Zhiwu Chen. (2000). "Do call and underlying prices always move in the same direction?" Review of Financial Studies 13(3), 549-584.
    • (2000) Review of Financial Studies , vol.13 , Issue.3 , pp. 549-584
    • Bakshi, G.1    Cao, C.2    Chen, Z.3
  • 10
    • 0031524138 scopus 로고    scopus 로고
    • "Normal inverse Gaussian distributions and stochastic volatility modelling"
    • Barndorff-Nielsen, Ole E. (1997). "Normal inverse Gaussian distributions and stochastic volatility modelling." Scandinavian Journal of Statistics 24, 1-13.
    • (1997) Scandinavian Journal of Statistics , vol.24 , pp. 1-13
    • Barndorff-Nielsen, O.E.1
  • 11
    • 0035648379 scopus 로고    scopus 로고
    • "Non-Gaussian Ornstein-Uhlenbeck-models and some of their uses in financial economics"
    • Barndorff-Nielsen, Ole E. and Neil Shepard. (2001). "Non-Gaussian Ornstein-Uhlenbeck-models and some of their uses in financial economics." Journal of the Royal Statistical Society B 63, 167-241.
    • (2001) Journal of the Royal Statistical Society B , vol.63 , pp. 167-241
    • Barndorff-Nielsen, O.E.1    Shepard, N.2
  • 12
    • 0030534228 scopus 로고    scopus 로고
    • "Jumps and stochastic volatility: Exchange rate processes implicit in deutsche mark options"
    • Bates, David. S. (1996). "Jumps and stochastic volatility: Exchange rate processes implicit in deutsche mark options." Review o Financial Studies 9, 69-107.
    • (1996) Review O Financial Studies , vol.9 , pp. 69-107
    • Bates, D.S.1
  • 13
    • 0000833419 scopus 로고    scopus 로고
    • "Post-'87 crash fears in the S&P 500 futures option market"
    • Bates, David. S. (2000). "Post-'87 crash fears in the S&P 500 futures option market." Journal of Econometrics 94, 181-238.
    • (2000) Journal of Econometrics , vol.94 , pp. 181-238
    • Bates, D.S.1
  • 14
    • 33747888337 scopus 로고    scopus 로고
    • "Maximum likelihood estimation of latent affine processes"
    • Bates, David. S. (2006). "Maximum likelihood estimation of latent affine processes." Review of Financial Studies 19(3), 909-965.
    • (2006) Review of Financial Studies , vol.19 , Issue.3 , pp. 909-965
    • Bates, D.S.1
  • 17
    • 85015692260 scopus 로고
    • "The pricing of options and corporate liabilities"
    • Black, Fischer, and Myron Scholes. (1973). The pricing of options and corporate liabilities." Journal of Political Economy 81, 637-654.
    • (1973) Journal of Political Economy , vol.81 , pp. 637-654
    • Black, F.1    Scholes, M.2
  • 20
    • 0040790515 scopus 로고    scopus 로고
    • "Option prices, implied price processes, and stochastic volatility
    • Britten-Jones, Mark, and Anthony J. Neuberger. (2000). "Option prices, implied price processes, and stochastic volatility, Journal of Finance 55(2), 839-866.
    • (2000) Journal of Finance , vol.55 , Issue.2 , pp. 839-866
    • Britten-Jones, M.1    Neuberger, A.J.2
  • 21
    • 0004449079 scopus 로고    scopus 로고
    • "American options with stochastics dividends and volatility: A nonparametric investigation"
    • Broadie, Mark, Jérôme Detemple, Eric Ghysels, and Olivier Torrès. (2000a). "American options with stochastics dividends and volatility: A nonparametric investigation." Journal of Econometrics 94, 53-92.
    • (2000) Journal of Econometrics , vol.94 , pp. 53-92
    • Broadie, M.1    Detemple, J.2    Ghysels, E.3    Torrès, O.4
  • 22
    • 0141866122 scopus 로고    scopus 로고
    • "Nonparametric estimation of American options exercise boundaries and call prices"
    • Broadie, Mark, Jérôme Detemple, Eric Ghysels, and Olivier Torrès. (2000b). "Nonparametric estimation of American options exercise boundaries and call prices." Journal of Economic Dynamics and Control 24, 1829-1857.
    • (2000) Journal of Economic Dynamics and Control , vol.24 , pp. 1829-1857
    • Broadie, M.1    Detemple, J.2    Ghysels, E.3    Torrès, O.4
  • 23
    • 2242466770 scopus 로고    scopus 로고
    • "Functional-coefficient regression models for nonlinear time series
    • Cai, Zongwu, Jianqing Fan, and Qiwei Yao. (2000). "Functional-coefficient regression models for nonlinear time series, Journal of the American Statistical Association 95, 941-956.
    • (2000) Journal of the American Statistical Association , vol.95 , pp. 941-956
    • Cai, Z.1    Fan, J.2    Yao, Q.3
  • 24
    • 0038742720 scopus 로고    scopus 로고
    • "Stochastic volatility for Lévy processes"
    • Carr, Peter, Héliette Geman, Dilip B. Madan, and Marc Yor. (2003). "Stochastic volatility for Lévy processes." Mathematical Finance 13(3), 345-382.
    • (2003) Mathematical Finance , vol.13 , Issue.3 , pp. 345-382
    • Carr, P.1    Geman, H.2    Madan, D.B.3    Yor, M.4
  • 25
    • 0242473436 scopus 로고    scopus 로고
    • "Spectral GMM estimation of continuous-time processes"
    • Chacko, George, and Luis M. Viceira. (2003). "Spectral GMM estimation of continuous-time processes." Journal of Econometrics 116, 259-292.
    • (2003) Journal of Econometrics , vol.116 , pp. 259-292
    • Chacko, G.1    Viceira, L.M.2
  • 26
    • 0034196104 scopus 로고    scopus 로고
    • "A study towards a unified approach to the joint estimation of objective and risk neutral measures for the purpose of options valuation
    • Chernov, Mikhail, and Eric Ghysels. (2000). "A study towards a unified approach to the joint estimation of objective and risk neutral measures for the purpose of options valuation, Journal of Financial Economics 56(3), 407-458.
    • (2000) Journal of Financial Economics , vol.56 , Issue.3 , pp. 407-458
    • Chernov, M.1    Ghysels, E.2
  • 27
    • 34047237438 scopus 로고    scopus 로고
    • "Semiparametric estimation of a characteristic-based factor model of stock returns"
    • Forthcoming
    • Connor, Gregory, and Oliver Linton. (2006). "Semiparametric estimation of a characteristic-based factor model of stock returns." Empirical Finance. Forthcoming.
    • (2006) Empirical Finance
    • Connor, G.1    Linton, O.2
  • 28
    • 33646126726 scopus 로고    scopus 로고
    • "The common and specific components of dynamic volatility"
    • Connor, Gregory, Robert A. Korajczyk, and Oliver Linton. (2006). "The common and specific components of dynamic volatility." Journal of Econometrics 132, 231-255.
    • (2006) Journal of Econometrics , vol.132 , pp. 231-255
    • Connor, G.1    Korajczyk, R.A.2    Linton, O.3
  • 29
    • 85032070430 scopus 로고    scopus 로고
    • "The dynamics of implied volatility surfaces"
    • Cont, Rama, and José da Fonseca. (2002). "The dynamics of implied volatility surfaces." Quantitative Finance 2(1), 45-60.
    • (2002) Quantitative Finance , vol.2 , Issue.1 , pp. 45-60
    • Cont, R.1    da Fonseca, J.2
  • 31
    • 31344448314 scopus 로고    scopus 로고
    • "Modeling and forecasting the term structure of government bond yields"
    • Diebold, Francis X., and Canlin Li. (2006). "Modeling and forecasting the term structure of government bond yields." Journal of Econometrics 130, 337-364.
    • (2006) Journal of Econometrics , vol.130 , pp. 337-364
    • Diebold, F.X.1    Li, C.2
  • 32
    • 0000593389 scopus 로고
    • "Simulated moments estimation of markov models of asset prices"
    • Duffie, Darrell, and Kenneth Singleton. (1993). "Simulated moments estimation of markov models of asset prices." Econometrica 61, 929-952.
    • (1993) Econometrica , vol.61 , pp. 929-952
    • Duffie, D.1    Singleton, K.2
  • 33
    • 0001668150 scopus 로고    scopus 로고
    • "Transform analysis and asset pricing for affine jump-diffusions"
    • Duffie, Darrell, Jun Pan, and Kenneth Singleton. (2000). "Transform analysis and asset pricing for affine jump-diffusions." Econometrica 68, 1343-1376.
    • (2000) Econometrica , vol.68 , pp. 1343-1376
    • Duffie, D.1    Pan, J.2    Singleton, K.3
  • 34
    • 0345923875 scopus 로고    scopus 로고
    • "Implied volatility functions: Empirical tests"
    • Dumas, Bernard, Jeff Fleming, and Robert E. Whaley. (1998). "Implied volatility functions: Empirical tests." Journal of Finance 53(6), 2059-2106.
    • (1998) Journal of Finance , vol.53 , Issue.6 , pp. 2059-2106
    • Dumas, B.1    Fleming, J.2    Whaley, R.E.3
  • 35
    • 0142188082 scopus 로고    scopus 로고
    • "The impact of jumps in volatility and returns"
    • Eraker, Bjørn, Michael Johannes, and Nicholas Polson. (2003). "The impact of jumps in volatility and returns." Journal of Finance 58, 1269-1300.
    • (2003) Journal of Finance , vol.58 , pp. 1269-1300
    • Eraker, B.1    Johannes, M.2    Polson, N.3
  • 37
    • 3943100672 scopus 로고    scopus 로고
    • "The dynamics of implied volatilities: A common principle components approach"
    • Fengler, Matthias R., Wolfgang Härdle, and Christophe Villa. (2003). "The dynamics of implied volatilities: A common principle components approach." Review of Derivatives Research 6, 179-202.
    • (2003) Review of Derivatives Research , vol.6 , pp. 179-202
    • Fengler, M.R.1    Härdle, W.2    Villa, C.3
  • 38
    • 0032347339 scopus 로고    scopus 로고
    • "A maximum likelihood approach for non-Gaussian stochastic volatility models"
    • Fridman, Moshe, and Lawrence Harris. (1998). "A maximum likelihood approach for non-Gaussian stochastic volatility models." Journal of Business and Economic Statistics 16, 284-291.
    • (1998) Journal of Business and Economic Statistics , vol.16 , pp. 284-291
    • Fridman, M.1    Harris, L.2
  • 39
    • 0032346647 scopus 로고    scopus 로고
    • "Reprojecting partially observed systems with application to interest rate diffusions"
    • Gallant, A. Ronald, and George Tauchen. (1998). "Reprojecting partially observed systems with application to interest rate diffusions." Journal of the American Statistical Association 93, 10-24.
    • (1998) Journal of the American Statistical Association , vol.93 , pp. 10-24
    • Gallant, A.R.1    Tauchen, G.2
  • 40
    • 34548212681 scopus 로고    scopus 로고
    • "Simulated score methods and indirect inference for continuous-time models"
    • in Yacine Aït-Sahalia and Lars Hansen (eds)." North Holland, Amsterdam. Forthcoming
    • Gallant, A. Ronald, and George Tauchen. (2007). "Simulated score methods and indirect inference for continuous-time models." in Yacine Aït-Sahalia and Lars Hansen (eds)." Handbook of Financial Econometrics, North Holland, Amsterdam. Forthcoming.
    • (2007) Handbook of Financial Econometrics
    • Gallant, A.R.1    Tauchen, G.2
  • 41
    • 0032391106 scopus 로고    scopus 로고
    • "A note on hedging in ARCH and stochastic volatility option pricing models"
    • Garcia, René, and Eric Renault. (1998a). "A note on hedging in ARCH and stochastic volatility option pricing models." Mathematical Finance 8(2), 153-161.
    • (1998) Mathematical Finance , vol.8 , Issue.2 , pp. 153-161
    • Garcia, R.1    Renault, E.2
  • 43
    • 34548279488 scopus 로고    scopus 로고
    • "The econometrics of option pricing models"
    • in Yacine Aït-Sahalia and Lars Hansen (eds) North Holland, Amsterdam. Forthcoming
    • Garcia, René, Eric Ghysels, and Eric Renault. (2007). "The econometrics of option pricing models." in Yacine Aït-Sahalia and Lars Hansen (eds)." Handbook of Financial Econometrics, North Holland, Amsterdam. Forthcoming.
    • (2007) Handbook of Financial Econometrics
    • Garcia, R.1    Ghysels, E.2    Renault, E.3
  • 44
    • 0032286916 scopus 로고
    • "A semiparametric factor model of interest rates and tests of the affine term structure"
    • Ghysels, Eric, and Serena Ng. (1989). "A semiparametric factor model of interest rates and tests of the affine term structure." Review of Economics and Statistics 80, 535-548.
    • (1989) Review of Economics and Statistics , vol.80 , pp. 535-548
    • Ghysels, E.1    Ng, S.2
  • 46
    • 0004296209 scopus 로고    scopus 로고
    • 5th edn, Prentice Hall, New Jersey
    • Greene, William. (2003). Econometric Analysis, 5th edn, Prentice Hall, New Jersey.
    • (2003) Econometric Analysis
    • Greene, W.1
  • 47
    • 34047228718 scopus 로고    scopus 로고
    • "Testing for vector autoregressive dynamics under heteroskedasticity
    • Econometric Institute Report EI 2002-36, Erasmus University Rotterdam, Netherlands
    • Hafner, Christian M., and Helmut Herwartz. (2002). "Testing for vector autoregressive dynamics under heteroskedasticity, Econometric Institute Report EI 2002-36, Erasmus University Rotterdam, Netherlands.
    • (2002)
    • Hafner, C.M.1    Herwartz, H.2
  • 50
    • 38649141305 scopus 로고
    • "Martingales and arbitrage in multiperiod securities markets"
    • Harrison, J. Michael, and David Kreps. (1979). "Martingales and arbitrage in multiperiod securities markets." Journal of Economic Theory 20, 381-408.
    • (1979) Journal of Economic Theory , vol.20 , pp. 381-408
    • Harrison, J.M.1    Kreps, D.2
  • 51
  • 54
    • 0037836721 scopus 로고
    • "A closed-form solution for options with stochastic volatility with applications to bond and currency options"
    • Heston, Steven. (1993). "A closed-form solution for options with stochastic volatility with applications to bond and currency options." Review of Financial Studies 6, 327-343.
    • (1993) Review of Financial Studies , vol.6 , pp. 327-343
    • Heston, S.1
  • 56
    • 84977709229 scopus 로고
    • "The pricing of options on assets with stochastic volatilities"
    • Hull, John, and Alan White. (1987). "The pricing of options on assets with stochastic volatilities." Journal of Finance 42, 281-300.
    • (1987) Journal of Finance , vol.42 , pp. 281-300
    • Hull, J.1    White, A.2
  • 58
    • 0002954748 scopus 로고    scopus 로고
    • "Scenario simulation: Theory and methodology"
    • Jamshidian, Farshid, and Yu Zhu. (1997). "Scenario simulation: Theory and methodology." Finance and Stochastics 1, 43-67.
    • (1997) Finance and Stochastics , vol.1 , pp. 43-67
    • Jamshidian, F.1    Zhu, Y.2
  • 59
    • 33144485091 scopus 로고    scopus 로고
    • "Nonparametric estimation of a multifactor Heath-Jarrow-Morton model: An integrated approach"
    • Jeffrey, Andrew, Dennis Kristensen, Oliver Linton, Thong Nguyen, and Peter Phillips. (2004). "Nonparametric estimation of a multifactor Heath-Jarrow-Morton model: An integrated approach." Journal of Financial Econometrics 2(2), 251-289.
    • (2004) Journal of Financial Econometrics , vol.2 , Issue.2 , pp. 251-289
    • Jeffrey, A.1    Kristensen, D.2    Linton, O.3    Nguyen, T.4    Phillips, P.5
  • 60
    • 12844249472 scopus 로고    scopus 로고
    • "The survival of newly founded firms: A case-study into varying-coefficient models"
    • Kauermann, Göran, Gerhard Tutz, and Josel Brüderl. (2005). "The survival of newly founded firms: A case-study into varying-coefficient models." Journal of the Royal Statistical Society A 168(1), 145-158.
    • (2005) Journal of the Royal Statistical Society A , vol.168 , Issue.1 , pp. 145-158
    • Kauermann, G.1    Tutz, G.2    Brüderl, J.3
  • 63
    • 0033233743 scopus 로고    scopus 로고
    • "The existence and asymptotic properties of a backfitting projection algorithm under weak conditions"
    • Mammen, Enno, Oliver Linton, and Jens Perch Nielsen. (1999). "The existence and asymptotic properties of a backfitting projection algorithm under weak conditions." Annals of Statistics 27(5), 1443-1490.
    • (1999) Annals of Statistics , vol.27 , Issue.5 , pp. 1443-1490
    • Mammen, E.1    Linton, O.2    Nielsen, J.P.3
  • 64
    • 84977363138 scopus 로고
    • "The calculation of implied variances from the Black-and-Scholes model: A note"
    • Manaster, Steven, and Gary Koehler. (1982). "The calculation of implied variances from the Black-and-Scholes model: A note." Journal of Finance 37, 227-230.
    • (1982) Journal of Finance , vol.37 , pp. 227-230
    • Manaster, S.1    Koehler, G.2
  • 65
    • 0005618944 scopus 로고
    • "Pricing foreign currency options with stochastic volatility"
    • Melino, Angelo, and Stuart Turnbull. (1990). "Pricing foreign currency options with stochastic volatility." Journal of Econometrics 45, 239-265.
    • (1990) Journal of Econometrics , vol.45 , pp. 239-265
    • Melino, A.1    Turnbull, S.2
  • 66
    • 10644241710 scopus 로고    scopus 로고
    • "The jump-risk premia implicit in options: Evidence from an integrated time-series study"
    • Pan, Jun. (2002). "The jump-risk premia implicit in options: Evidence from an integrated time-series study." Journal of Financial Economics 63, 3-50.
    • (2002) Journal of Financial Economics , vol.63 , pp. 3-50
    • Pan, J.1
  • 67
    • 0242318897 scopus 로고    scopus 로고
    • "Iterative and recursive estimation of structural non-adaptive models"
    • Pastorello, Sergio, Valentin Patilea, and Eric Renault. (2003). "Iterative and recursive estimation of structural non-adaptive models." Journal of Business and Economic Statistics 21(4), 449-509.
    • (2003) Journal of Business and Economic Statistics , vol.21 , Issue.4 , pp. 449-509
    • Pastorello, S.1    Patilea, V.2    Renault, E.3
  • 70
    • 0030557781 scopus 로고    scopus 로고
    • "Option hedging and implied volatilities in a stochastic volatility model"
    • Renault, Eric, and Nizar Touzi. (1996). "Option hedging and implied volatilities in a stochastic volatility model." Mathematical Finance 6(3), 279-302.
    • (1996) Mathematical Finance , vol.6 , Issue.3 , pp. 279-302
    • Renault, E.1    Touzi, N.2
  • 71
    • 84944838542 scopus 로고
    • "Nonparametric tests of alternative option-pricing models using all reported trades and quotes on the 30 most active CBOE option classes from August 23, 1976 through August 31, 1978"
    • Rubinstein, Mark (1985). "Nonparametric tests of alternative option-pricing models using all reported trades and quotes on the 30 most active CBOE option classes from August 23, 1976 through August 31, 1978." Journal of Finance 40, 455-480.
    • (1985) Journal of Finance , vol.40 , pp. 455-480
    • Rubinstein, M.1
  • 72
    • 0347670451 scopus 로고    scopus 로고
    • "Stochastic volatility with an Ornstein-Uhlenbeck process: An extension"
    • Schöbel, Rainer, and Jianwei Zhu. (1999). "Stochastic volatility with an Ornstein-Uhlenbeck process: An extension." European Finance Review 3, 23-46.
    • (1999) European Finance Review , vol.3 , pp. 23-46
    • Schöbel, R.1    Zhu, J.2
  • 73
    • 0000120766 scopus 로고
    • "Estimating the dimension of a model"
    • Schwarz, Gideon. (1978). "Estimating the dimension of a model." Annals of Statistics 6, 461-464.
    • (1978) Annals of Statistics , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 75
    • 0001719983 scopus 로고
    • "The dimensionality reduction principle for generalized additive models"
    • Stone, Charles. (1986). "The dimensionality reduction principle for generalized additive models." The Annals of Statistics 14, 592-606.
    • (1986) The Annals of Statistics , vol.14 , pp. 592-606
    • Stone, C.1
  • 76
    • 0012673444 scopus 로고    scopus 로고
    • "Implied volatility surfaces: Uncovering regularities for options on financial futures"
    • Tompkins, Robert. (2001). "Implied volatility surfaces: Uncovering regularities for options on financial futures." European Journal of Finance 7(3), 198-230.
    • (2001) European Journal of Finance , vol.7 , Issue.3 , pp. 198-230
    • Tompkins, R.1
  • 77
    • 0000095552 scopus 로고
    • "A heteroskedasticity-consistent covariance matrix and a direct test for heteroskedasticity"
    • White, Halbert. (1980). "A heteroskedasticity-consistent covariance matrix and a direct test for heteroskedasticity." Econometrica 48, 817-838.
    • (1980) Econometrica , vol.48 , pp. 817-838
    • White, H.1
  • 78
    • 45949112947 scopus 로고
    • "Option values under stochastic volatility"
    • Wiggins, James. (1987). "Option values under stochastic volatility." Journal of Financial Economics 19, 351-372.
    • (1987) Journal of Financial Economics , vol.19 , pp. 351-372
    • Wiggins, J.1
  • 79
    • 0005964277 scopus 로고    scopus 로고
    • "An E-ARCH model for the term-structure of implied volatility of FX options"
    • Zhu, Yingzi, and Marco Avellaneda. (1997). "An E-ARCH model for the term-structure of implied volatility of FX options." Applied Mathematical Finance 4, 81-100.
    • (1997) Applied Mathematical Finance , vol.4 , pp. 81-100
    • Zhu, Y.1    Avellaneda, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.