메뉴 건너뛰기




Volumn 24, Issue 3, 2014, Pages 1002-1048

Asymptotically optimal discretization of hedging strategies with jumps

Author keywords

Asymptotic optimality; Blumenthal getoor index; Discretization of stochastic integrals; Hitting times; Option hedging; Semimartingales with jumps

Indexed keywords


EID: 84899538558     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/13-AAP940     Document Type: Article
Times cited : (19)

References (27)
  • 1
    • 69049110997 scopus 로고    scopus 로고
    • Estimating the degree of activity of jumps in high frequency data
    • MR2543690
    • AÏT-SAHALIA, Y. and JACOD, J. (2009). Estimating the degree of activity of jumps in high frequency data. Ann. Statist. 37 2202-2244. MR2543690
    • (2009) Ann.Statist. , vol.37 , pp. 2202-2244
    • Aït-Sahalia, Y.1    Jacod, J.2
  • 2
    • 73949151589 scopus 로고    scopus 로고
    • Spectral estimation of the fractional order of a Lévy process
    • MR2589324
    • BELOMESTNY, D. (2010). Spectral estimation of the fractional order of a Lévy process. Ann. Statist. 38 317-351. MR2589324
    • (2010) Ann.Statist , vol.38 , pp. 317-351
    • Belomestny, D.1
  • 4
    • 0000361942 scopus 로고
    • Sample functions of stochastic processes with stationary independent increments
    • MR0123362
    • BLUMENTHAL, R. M. and GETOOR, R. K. (1961). Sample functions of stochastic processes with stationary independent increments. J. Math. Mech. 10 493-516. MR0123362
    • (1961) J. Math.Mech. , vol.10 , pp. 493-516
    • Blumenthal, R.M.1    Getoor, R.K.2
  • 5
    • 0000760840 scopus 로고
    • On the distribution of first hits for the symmetric stable processes
    • MR0126885
    • BLUMENTHAL, R.M.,GETOOR, R. K. and RAY, D. B. (1961). On the distribution of first hits for the symmetric stable processes. Trans. Amer. Math. Soc. 99 540-554. MR0126885
    • (1961) Trans. Amer. Math. Soc. , vol.99 , pp. 540-554
    • Blumenthal, R.M.1    Getoor, R.K.2    Ray, D.B.3
  • 6
    • 80053418772 scopus 로고    scopus 로고
    • Tracking errors from discrete hedging in exponential Lévy models
    • MR2845218
    • BRODÉN, M. and TANKOV, P. (2011). Tracking errors from discrete hedging in exponential Lévy models. Int. J. Theor. Appl. Finance 14 803-837. MR2845218
    • (2011) Int. J. Theor. Appl. Finance , vol.14 , pp. 803-837
    • Brodén, M.1    Tankov, P.2
  • 7
    • 0005833762 scopus 로고    scopus 로고
    • The fine structure of asset returns: An empirical investigatio
    • CARR, P., GEMAN, H.,MADAN, D. and YOR, M. (2002). The fine structure of asset returns: An empirical investigation. J. Bus. 75 305-332.
    • (2002) J.Bus. , vol.75 , pp. 305-332
    • Carr, P.1    Geman, H.2    Madan, D.3    Yor, M.4
  • 8
    • 79953901377 scopus 로고    scopus 로고
    • Nonparametric tests for pathwise properties of semimartingales
    • MR2787615
    • CONT, R. and MANCINI, C. (2011). Nonparametric tests for pathwise properties of semimartingales. Bernoulli 17 781-813. MR2787615
    • (2011) Bernoulli , vol.17 , pp. 781-813
    • Cont, R.1    Mancini, C.2
  • 9
    • 84883650875 scopus 로고    scopus 로고
    • Hedging with options in models with jumps. In Stochastic Analysis and Applications
    • Springer, Berlin. MR2397788
    • CONT, R., TANKOV, P. and VOLTCHKOVA, E. (2007). Hedging with options in models with jumps. In Stochastic Analysis and Applications. Abel Symp. 2 197-217. Springer, Berlin. MR2397788
    • (2007) Abel Symp. , vol.2 , pp. 197-217
    • Cont, R.1    Tankov, P.2    Voltchkova, E.3
  • 10
    • 40549134772 scopus 로고    scopus 로고
    • On the structure of general mean-variance hedging strategies
    • MR2330978
    • CERNÝ, A. andKALLSEN, J. (2007). On the structure of general mean-variance hedging strategies. Ann. Probab. 35 1479-1531. MR2330978
    • (2007) Ann.Probab. , vol.35 , pp. 1479-1531
    • Cerný, A.1    Andkallsen, J.2
  • 11
    • 77949299524 scopus 로고    scopus 로고
    • Nonparametric estimation of time-changed Lévy models under high-frequency data
    • MR2663241
    • FIGUEROA-LÓPEZ, J. E. (2009). Nonparametric estimation of time-changed Lévy models under high-frequency data. Adv. in Appl. Probab. 41 1161-1188. MR2663241
    • (2009) Adv. in Appl. Probab. , vol.41 , pp. 1161-1188
    • Figueroa-López, J.E.1
  • 12
    • 84860180022 scopus 로고    scopus 로고
    • Statistical estimation of Lévy-type stochastic volatility models
    • MR2922800
    • FIGUEROA-LÓPEZ, J. E. (2012). Statistical estimation of Lévy-type stochastic volatility models. Ann. Finance 8 309-335. MR2922800
    • (2012) Ann.Finance , vol.8 , pp. 309-335
    • Figueroa-López, J.E.1
  • 13
    • 0001864064 scopus 로고
    • Hedging of contingent claims under incomplete information. in Applied Stochastic Analysis (London, 1989
    • Gordon and Breach, New York. MR1108430
    • FÖLLMER, H. and SCHWEIZER, M. (1991). Hedging of contingent claims under incomplete information. In Applied Stochastic Analysis (London, 1989). Stochastics Monogr. 5 389-414. Gordon and Breach, New York. MR1108430
    • (1991) Stochastics Monogr. , vol.5 , pp. 389-414
    • Föllmer, H.1    Schweizer, M.2
  • 14
    • 0002289762 scopus 로고
    • Hedging of nonredundant contingent claims
    • North-Holland, Amsterdam. MR0902885
    • FÖLLMER, H. and SONDERMANN, D. (1986). Hedging of nonredundant contingent claims. In Contributions to Mathematical Economics 205-223. North-Holland, Amsterdam. MR0902885
    • (1986) Contributions to Mathematical Economics , pp. 205-223
    • Föllmer, H.1    Sondermann, D.2
  • 16
    • 0007322689 scopus 로고
    • First passage times for symmetric stable processes in space
    • MR0137148
    • GETOOR, R. K. (1961). First passage times for symmetric stable processes in space. Trans. Amer. Math. Soc. 101 75-90. MR0137148
    • (1961) Trans. Amer. Math.Soc. , vol.101 , pp. 75-90
    • Getoor, R.K.1
  • 18
    • 17444363812 scopus 로고    scopus 로고
    • Evaluating hedging errors: An asymptotic approach
    • MR2132193
    • HAYASHI, T. and MYKLAND, P. A. (2005). Evaluating hedging errors: An asymptotic approach. Math. Finance 15 309-343. MR2132193
    • (2005) Math.Finance , vol.15 , pp. 309-343
    • Hayashi, T.1    Mykland, P.A.2
  • 19
    • 33746884344 scopus 로고    scopus 로고
    • Variance-optimal hedging for processes with stationary independent increments
    • MR2244435
    • HUBALEK, F., KALLSEN, J. and KRAWCZYK, L. (2006). Variance-optimal hedging for processes with stationary independent increments. Ann. Appl. Probab. 16 853-885. MR2244435
    • (2006) Ann. Appl.Probab. , vol.16 , pp. 853-885
    • Hubalek, F.1    Kallsen, J.2    Krawczyk, L.3
  • 21
    • 0011090049 scopus 로고
    • Optimum consumption and portfolio rules in a continuous-time model
    • MR0456373
    • MERTON, R. C. (1971). Optimum consumption and portfolio rules in a continuous-time model. J. Econom. Theory 3 373-413. MR0456373
    • (1971) J. Econom.Theory , vol.3 , pp. 373-413
    • Merton, R.C.1
  • 22
    • 79956199041 scopus 로고    scopus 로고
    • Asymptotic results for time-changed Lévy processes sampled at hitting times
    • MR2802468
    • ROSENBAUM, M. and TANKOV, P. (2011). Asymptotic results for time-changed Lévy processes sampled at hitting times. Stochastic Process. Appl. 121 1607-1632. MR2802468
    • (2011) Stochastic Process.Appl. , vol.121 , pp. 1607-1632
    • Rosenbaum, M.1    Tankov, P.2
  • 23
    • 0004044683 scopus 로고    scopus 로고
    • Cambridge Studies in Advanced Mathematics ,Cambridge Univ. Press, Cambridge. MR1739520
    • SATO, K.-I. (1999). Lévy Processes and Infinitely Divisible Distributions. Cambridge Studies in Advanced Mathematics 68. Cambridge Univ. Press, Cambridge. MR1739520
    • (1999) Lévy Processes and Infinitely Divisible Distributions , vol.68
    • Sato, K.-I.1
  • 25
    • 64549129187 scopus 로고    scopus 로고
    • Asymptotic analysis of hedging errors in models with jumps
    • MR2519354
    • TANKOV, P. and VOLTCHKOVA, E. (2009). Asymptotic analysis of hedging errors in models with jumps. Stochastic Process. Appl. 119 2004-2027. MR2519354
    • (2009) Stochastic ProcessAppl. , vol.119 , pp. 2004-2027
    • Tankov, P.1    Voltchkova, E.2
  • 26
    • 34548037225 scopus 로고    scopus 로고
    • Inference in Lévy-type stochastic volatility models
    • MR2343676
    • WOERNER, J. H. C. (2007). Inference in Lévy-type stochastic volatility models. Adv. in Appl. Probab. 39 531-549. MR2343676
    • (2007) Adv. in Appl. Probab. , vol.39 , pp. 531-549
    • Woerner, J.H.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.