메뉴 건너뛰기




Volumn 8, Issue 2-3, 2012, Pages 379-403

Estimation and pricing under long-memory stochastic volatility

Author keywords

Estimation; Long memory; Multinomial tree; Option pricing; Particle filtering; Stochastic volatility

Indexed keywords


EID: 84860182311     PISSN: 16142446     EISSN: 16142454     Source Type: Journal    
DOI: 10.1007/s10436-010-0156-4     Document Type: Article
Times cited : (100)

References (42)
  • 1
    • 84993897212 scopus 로고
    • Jump diffusion option valuation in discrete time
    • Amin K. I.: Jump diffusion option valuation in discrete time. J Finance 48, 1833-1863 (1993).
    • (1993) J Finance , vol.48 , pp. 1833-1863
    • Amin, K.I.1
  • 2
    • 0040485278 scopus 로고    scopus 로고
    • Fractionally integrated generalized autoregressive conditional heteroskedasticity
    • Baillie R. T., Bollerslev T., Mikkelsen H. O.: Fractionally integrated generalized autoregressive conditional heteroskedasticity. J Economet 74(1), 3-30 (1996).
    • (1996) J Economet , vol.74 , Issue.1 , pp. 3-30
    • Baillie, R.T.1    Bollerslev, T.2    Mikkelsen, H.O.3
  • 3
    • 84860144614 scopus 로고    scopus 로고
    • Selection of an optimal portfolio with stochastic volatility and discrete observations
    • Batalova N., Maroussov V., Viens F.: Selection of an optimal portfolio with stochastic volatility and discrete observations. Trans Wessex Inst Model Simul 43, 317-380 (2006).
    • (2006) Trans Wessex Inst Model Simul , vol.43 , pp. 317-380
    • Batalova, N.1    Maroussov, V.2    Viens, F.3
  • 6
    • 85015692260 scopus 로고
    • The valuation of options and corporate liability
    • Black F., Scholes M.: The valuation of options and corporate liability. J Polit Econ 81, 637-654 (1973).
    • (1973) J Polit Econ , vol.81 , pp. 637-654
    • Black, F.1    Scholes, M.2
  • 7
    • 34547233226 scopus 로고    scopus 로고
    • Generalized long-memory GARCH models for intra-day volatility
    • Bordignon S., Caporin M., Lisi F.: Generalized long-memory GARCH models for intra-day volatility. Comput Stat Data Anal 51(12), 5900-5912 (2007).
    • (2007) Comput Stat Data Anal , vol.51 , Issue.12 , pp. 5900-5912
    • Bordignon, S.1    Caporin, M.2    Lisi, F.3
  • 8
    • 0041494517 scopus 로고    scopus 로고
    • The detection and estimation of long-memory in stochastic volatility
    • Breidt F. J., Crato N., De Lima P.: The detection and estimation of long-memory in stochastic volatility. J Economet 83, 325-348 (1998).
    • (1998) J Economet , vol.83 , pp. 325-348
    • Breidt, F.J.1    Crato, N.2    de Lima, P.3
  • 9
    • 55349109595 scopus 로고    scopus 로고
    • Econometric estimation in long-range dependent volatility models: theory and practice
    • Casas I., Gao J.: Econometric estimation in long-range dependent volatility models: theory and practice. J Economet 147, 72-83 (2008).
    • (2008) J Economet , vol.147 , pp. 72-83
    • Casas, I.1    Gao, J.2
  • 10
    • 0242389968 scopus 로고    scopus 로고
    • Arbitrage in fractional Brownian motion models
    • Cheridito P.: Arbitrage in fractional Brownian motion models. Finance Stoch 7(4), 533-553 (2003).
    • (2003) Finance Stoch , vol.7 , Issue.4 , pp. 533-553
    • Cheridito, P.1
  • 12
    • 85123566150 scopus 로고    scopus 로고
    • Hurst index estimation for self-similar processes with long-memory
    • J. Duan, S. Luo, and C. Wang (Eds.), Singapore: World Scientific
    • Chronopoulou A., Viens F.: Hurst index estimation for self-similar processes with long-memory. In: Duan, J., Luo, S., Wang, C. (eds) Recent Development in Stochastic Dynamics and Stochastic Analysis, World Scientific, Singapore (2010).
    • (2010) Recent Development in Stochastic Dynamics and Stochastic Analysis
    • Chronopoulou, A.1    Viens, F.2
  • 13
    • 0032356952 scopus 로고    scopus 로고
    • Long memory in continuous-time stochastic volatility models
    • Comte F., Renault E.: Long memory in continuous-time stochastic volatility models. Math Finance 8(4), 291-323 (1998).
    • (1998) Math Finance , vol.8 , Issue.4 , pp. 291-323
    • Comte, F.1    Renault, E.2
  • 15
    • 0000506834 scopus 로고
    • A geographical model for the daily and weekly seasonal volatility in the foreign exchange market
    • Dacorogna M. M., Müller U. A., Nagler R. J., Olsen R. B., Pictet O. V.: A geographical model for the daily and weekly seasonal volatility in the foreign exchange market. J Int Money Finance 12, 413-438 (1993).
    • (1993) J Int Money Finance , vol.12 , pp. 413-438
    • Dacorogna, M.M.1    Müller, U.A.2    Nagler, R.J.3    Olsen, R.B.4    Pictet, O.V.5
  • 16
    • 0035640255 scopus 로고    scopus 로고
    • The Monte-Carlo method for filtering with discrete time observations
    • Del Moral P., Jacod J., Protter P.: The Monte-Carlo method for filtering with discrete time observations. Probab Theory Relat Fields 120, 346-368 (2001).
    • (2001) Probab Theory Relat Fields , vol.120 , pp. 346-368
    • Del Moral, P.1    Jacod, J.2    Protter, P.3
  • 18
    • 0041059062 scopus 로고
    • A long memory property of stock market returns and a new model
    • Ding Z. C., Granger W. J., Engle R. F.: A long memory property of stock market returns and a new model. J Empir Finance 1, 1 (1993).
    • (1993) J Empir Finance , vol.1 , pp. 1
    • Ding, Z.C.1    Granger, W.J.2    Engle, R.F.3
  • 19
    • 40949160600 scopus 로고    scopus 로고
    • Stochastic volatility: option pricing using a multinomial recombining tree
    • Florescu I., Viens F. G.: Stochastic volatility: option pricing using a multinomial recombining tree. Appl Math Finance 15(2), 151-181 (2008).
    • (2008) Appl Math Finance , vol.15 , Issue.2 , pp. 151-181
    • Florescu, I.1    Viens, F.G.2
  • 21
    • 84986759400 scopus 로고
    • The estimation and application of long-memory time-series models
    • Geweke J., Porter-Hudak S.: The estimation and application of long-memory time-series models. J Timeseries Anal 4, 221-237 (1983).
    • (1983) J Timeseries Anal , vol.4 , pp. 221-237
    • Geweke, J.1    Porter-Hudak, S.2
  • 22
    • 0001104607 scopus 로고    scopus 로고
    • Long memory in stochastic volatility
    • J. Knight and S. Satchell (Eds.), Oxford: Butterworth-Haineman
    • Harvey A. C.: Long memory in stochastic volatility. In: Knight, J., Satchell, S. (eds) Forecasting Volatility in Financial Markets, pp. 307-320. Butterworth-Haineman, Oxford (1998).
    • (1998) Forecasting Volatility in Financial Markets , pp. 307-320
    • Harvey, A.C.1
  • 23
    • 0037836721 scopus 로고
    • A closed-form solution for option with stochastic volatility with applications to bond and currency options
    • Heston S. L.: A closed-form solution for option with stochastic volatility with applications to bond and currency options. Rev Financ Stud 6, 327-343 (1993).
    • (1993) Rev Financ Stud , vol.6 , pp. 327-343
    • Heston, S.L.1
  • 24
    • 84860177680 scopus 로고
    • Comment on long-memory models and their statistical properties
    • Higuchi T.: Comment on long-memory models and their statistical properties. J Japn Stat 19, 241-244 (1989).
    • (1989) J Japn Stat , vol.19 , pp. 241-244
    • Higuchi, T.1
  • 25
    • 84977709229 scopus 로고
    • The pricing of options on assets with stochastic volatility
    • Hull J., White A.: The pricing of options on assets with stochastic volatility. J Finance 42, 281-300 (1987).
    • (1987) J Finance , vol.42 , pp. 281-300
    • Hull, J.1    White, A.2
  • 26
    • 0000759022 scopus 로고
    • Long term storage capacity of reservoirs
    • Hurst H.: Long term storage capacity of reservoirs. Trans Am Soc Civil Eng 116, 770-799 (1951).
    • (1951) Trans Am Soc Civil Eng , vol.116 , pp. 770-799
    • Hurst, H.1
  • 27
    • 84860187165 scopus 로고    scopus 로고
    • Portfolio Optimization in Discrete Time with Proportional Transaction Costs under Stochastic Volatility
    • (in Press)
    • Kim, H.-Y., Viens, F.: Portfolio Optimization in Discrete Time with Proportional Transaction Costs under Stochastic Volatility. Annals of Finance (in Press) (2010).
    • (2010) Annals of Finance
    • Kim, H.-Y.1    Viens, F.2
  • 28
    • 76049106899 scopus 로고    scopus 로고
    • Estimators for the long-memory parameter in LARCH models, and fractional Brownian motion
    • Levine M., Torres S., Viens F.: Estimators for the long-memory parameter in LARCH models, and fractional Brownian motion. Stat Inf Stoch Process 12(3), 221-250 (2009).
    • (2009) Stat Inf Stoch Process , vol.12 , Issue.3 , pp. 221-250
    • Levine, M.1    Torres, S.2    Viens, F.3
  • 29
    • 40549097507 scopus 로고    scopus 로고
    • Refined inference on long-memory in realized volatility
    • Lieberman O., Phillips P.: Refined inference on long-memory in realized volatility. Economet. Rev. 27(1-3), 254-267 (2008).
    • (2008) Economet. Rev. , vol.27 , Issue.1-3 , pp. 254-267
    • Lieberman, O.1    Phillips, P.2
  • 30
    • 0032338835 scopus 로고    scopus 로고
    • Real and spurious long-memory properties of stock-market data
    • Lobato I., Savin N. E.: Real and spurious long-memory properties of stock-market data. J Bus Econ Stat 16, 261-283 (1998).
    • (1998) J Bus Econ Stat , vol.16 , pp. 261-283
    • Lobato, I.1    Savin, N.E.2
  • 31
    • 40549126980 scopus 로고    scopus 로고
    • Realized volatility and long-memory: an overview
    • Maasoumi E., McAleer M.: Realized volatility and long-memory: an overview. Economet Rev 27, 1-9 (2008).
    • (2008) Economet Rev , vol.27 , pp. 1-9
    • Maasoumi, E.1    McAleer, M.2
  • 32
    • 0003013643 scopus 로고
    • Robust R/S analysis of long run serial correlation
    • Manila, Book 2
    • Mandelbrot, B., Taqqu, M.: Robust R/S analysis of long run serial correlation. In: Proceedings of 42nd Session of the ISI, Manila, Book 2, pp. 69-99 (1979).
    • (1979) Proceedings of 42nd Session of the ISI , pp. 69-99
    • Mandelbrot, B.1    Taqqu, M.2
  • 33
    • 84897913178 scopus 로고
    • Robustness of the rescaled range R/S and the measurement of non-cyclic long-run statistical dependence
    • Mandelbrot B., Wallis J. R.: Robustness of the rescaled range R/S and the measurement of non-cyclic long-run statistical dependence. Water Res Res 5, 918-967 (1968).
    • (1968) Water Res Res , vol.5 , pp. 918-967
    • Mandelbrot, B.1    Wallis, J.R.2
  • 34
    • 40549142517 scopus 로고    scopus 로고
    • Realized volatility: a review
    • McAleer M., Medeiros M.: Realized volatility: a review. Economet Rev 27, 10-45 (2008).
    • (2008) Economet Rev , vol.27 , pp. 10-45
    • McAleer, M.1    Medeiros, M.2
  • 35
    • 0001738730 scopus 로고
    • An intertemporal capital asset prcing model
    • Merton R. C.: An intertemporal capital asset prcing model. Econometrica 7, 867-887 (1973).
    • (1973) Econometrica , vol.7 , pp. 867-887
    • Merton, R.C.1
  • 36
    • 33746030737 scopus 로고    scopus 로고
    • Optimal approximation of SDE's with additive fractional noise
    • Neuenkirch A.: Optimal approximation of SDE's with additive fractional noise. J Complex 22(4), 459-474 (2006).
    • (2006) J Complex , vol.22 , Issue.4 , pp. 459-474
    • Neuenkirch, A.1
  • 39
    • 0031540977 scopus 로고    scopus 로고
    • Arbitrage with fractional Brownian motion
    • Rogers L. C. G.: Arbitrage with fractional Brownian motion. Math Finance 7, 95-105 (1997).
    • (1997) Math Finance , vol.7 , pp. 95-105
    • Rogers, L.C.G.1
  • 40
    • 24944554085 scopus 로고
    • Option pricing when the variance changes randomly: theory, estimation, and an application
    • Scott L.: Option pricing when the variance changes randomly: theory, estimation, and an application. J Financ Quant Anal 22(4), 419-438 (1987).
    • (1987) J Financ Quant Anal , vol.22 , Issue.4 , pp. 419-438
    • Scott, L.1
  • 41
    • 0347349326 scopus 로고    scopus 로고
    • Fractional Brownian motion, random walks and binary market models
    • Sottinen T.: Fractional Brownian motion, random walks and binary market models. Finance Stoch 5(3), 343-355 (2001).
    • (2001) Finance Stoch , vol.5 , Issue.3 , pp. 343-355
    • Sottinen, T.1
  • 42
    • 0001284767 scopus 로고
    • Stock price distribution with stochastic volatility: an analytic approach
    • Stein E., Stein J.: Stock price distribution with stochastic volatility: an analytic approach. Rev Financ Stud 4, 727-752 (1991).
    • (1991) Rev Financ Stud , vol.4 , pp. 727-752
    • Stein, E.1    Stein, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.