메뉴 건너뛰기




Volumn 35, Issue 4, 2007, Pages 1479-1531

On the structure of general mean-variance hedging strategies

Author keywords

Incomplete markets; Mean variance hedging; Opportunity process; Opportunity neutral measure

Indexed keywords


EID: 40549134772     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117906000000872     Document Type: Article
Times cited : (98)

References (48)
  • 1
    • 51549104742 scopus 로고    scopus 로고
    • ALBERT, A. (1972). Regression and the Moore-Penrose Pseudoinverse. Academic Press, New York. MR0331659
    • ALBERT, A. (1972). Regression and the Moore-Penrose Pseudoinverse. Academic Press, New York. MR0331659
  • 2
    • 2442575109 scopus 로고    scopus 로고
    • Minimal martingale measures for jump diffusion processes
    • MR2036287
    • ARAI, T. (2004). Minimal martingale measures for jump diffusion processes. J. Appl. Probab. 41 263-270. MR2036287
    • (2004) J. Appl. Probab , vol.41 , pp. 263-270
    • ARAI, T.1
  • 3
    • 11144314171 scopus 로고    scopus 로고
    • An extension of mean-variance hedging to the discontinuous case
    • MR2210931
    • ARAI, T. (2005). An extension of mean-variance hedging to the discontinuous case. Finance Stoch. 9 129-139. MR2210931
    • (2005) Finance Stoch , vol.9 , pp. 129-139
    • ARAI, T.1
  • 4
    • 0141902106 scopus 로고    scopus 로고
    • Explicit representation of the minimal variance portfolio in markets driven by Lévy processes
    • MR1968096
    • BENTH, F., DI NUNNO, G., LØ KKA, A., ØKSENDAL, B. and PROSKE, F. (2003). Explicit representation of the minimal variance portfolio in markets driven by Lévy processes. Math. Finance 13 55-72. MR1968096
    • (2003) Math. Finance , vol.13 , pp. 55-72
    • BENTH, F.1    DI NUNNO, G.2    LØ KKA, A.3    ØKSENDAL, B.4    PROSKE, F.5
  • 5
    • 0036020759 scopus 로고    scopus 로고
    • Mean-variance hedging with random volatility jumps
    • MR1900301
    • BIAGINI, F. and GUASONI, P. (2002). Mean-variance hedging with random volatility jumps. Stochastic Anal. Appl. 20 471-194. MR1900301
    • (2002) Stochastic Anal. Appl , vol.20 , pp. 471-194
    • BIAGINI, F.1    GUASONI, P.2
  • 6
    • 0034410742 scopus 로고    scopus 로고
    • Mean-variance hedging for stochastic volatility models
    • MR1802593
    • BIAGINI, F., GUASONI, P. and PRATELLI, M. (2000). Mean-variance hedging for stochastic volatility models. Math. Finance 10 109-123. MR1802593
    • (2000) Math. Finance , vol.10 , pp. 109-123
    • BIAGINI, F.1    GUASONI, P.2    PRATELLI, M.3
  • 7
    • 1842587080 scopus 로고    scopus 로고
    • Mean-variance hedging and stochastic control: Beyond the Brownian setting
    • MR2062252
    • BOBROVNYTSKA, O. and SCHWEIZER, M. (2004). Mean-variance hedging and stochastic control: Beyond the Brownian setting. IEEE Trans. Automat. Control 49 396-408. MR2062252
    • (2004) IEEE Trans. Automat. Control , vol.49 , pp. 396-408
    • BOBROVNYTSKA, O.1    SCHWEIZER, M.2
  • 8
    • 1842763703 scopus 로고    scopus 로고
    • Dynamic programming and mean-variance hedging in discrete time
    • ČERNÝ, A. (2004). Dynamic programming and mean-variance hedging in discrete time. Appl. Math. Finance 11 1-25.
    • (2004) Appl. Math. Finance , vol.11 , pp. 1-25
    • ČERNÝ, A.1
  • 9
    • 51549118113 scopus 로고    scopus 로고
    • Optimal continuous-time hedging with leptokurtic returns
    • To appear
    • ČERNÝ, A. (2005). Optimal continuous-time hedging with leptokurtic returns. Math. Finance. To appear.
    • (2005) Math. Finance
    • ČERNÝ, A.1
  • 10
    • 51549114503 scopus 로고    scopus 로고
    • A counterexample concerning the variance-optimal martingale measure
    • To appear. Available at
    • ČERNÝ, A. and KALLSEN, J. (2006). A counterexample concerning the variance-optimal martingale measure. Math. Finance. To appear. Available at http://ssm.com/abstract=912952.
    • (2006) Math. Finance
    • ČERNÝ, A.1    KALLSEN, J.2
  • 11
    • 51549087403 scopus 로고    scopus 로고
    • ČERNÝ, A. and KALLSEN, J. (2006). Mean-variance hedging and optimal investment in Heston's model with correlation. SSRN working paper. Available at http://ssrn.com/abstract=909305.
    • ČERNÝ, A. and KALLSEN, J. (2006). Mean-variance hedging and optimal investment in Heston's model with correlation. SSRN working paper. Available at http://ssrn.com/abstract=909305.
  • 12
    • 0032390663 scopus 로고    scopus 로고
    • martingales and their applications in mathematical finance
    • MR1626523, ℰ
    • CHOULLI, T., KRAWCZYK, L. and STRICKER, C. (1998). ℰ-martingales and their applications in mathematical finance. Ann. Probab. 26 853-876. MR1626523
    • (1998) Ann. Probab , vol.26 , pp. 853-876
    • CHOULLI, T.1    KRAWCZYK, L.2    STRICKER, C.3
  • 14
    • 21344463289 scopus 로고
    • The existence of absolutely continuous local martingale measures
    • MR1384360
    • DELBAEN, F. and SCHACHERMAYER, W. (1995). The existence of absolutely continuous local martingale measures. Ann. Appl. Probab. 5 926-945. MR1384360
    • (1995) Ann. Appl. Probab , vol.5 , pp. 926-945
    • DELBAEN, F.1    SCHACHERMAYER, W.2
  • 16
    • 84879759824 scopus 로고    scopus 로고
    • The variance-optimal martingale measure for continuous processes
    • MR1394053
    • DELBAEN, F. and SCHACHERMAYER, W. (1996). The variance-optimal martingale measure for continuous processes. Bernoulli 2 81-105. MR1394053
    • (1996) Bernoulli , vol.2 , pp. 81-105
    • DELBAEN, F.1    SCHACHERMAYER, W.2
  • 17
    • 10844229969 scopus 로고    scopus 로고
    • Stochastic integral representation, stochastic derivatives and minimal variance hedging
    • MR1914983
    • DI NUNNO, G. (2002). Stochastic integral representation, stochastic derivatives and minimal variance hedging. Stochastics Stochastics Rep. 73 181-198. MR1914983
    • (2002) Stochastics Stochastics Rep , vol.73 , pp. 181-198
    • DI NUNNO, G.1
  • 18
    • 51549108570 scopus 로고    scopus 로고
    • FÖLLMER, H. and SCHWEIZER, M. (1991). Hedging of contingent claims under incomplete information. In Applied Stochastic Analysis (M. H. A. Davis and R. J. Elliott, eds.) 389-414. Gordon and Breach, London. MR1108430
    • FÖLLMER, H. and SCHWEIZER, M. (1991). Hedging of contingent claims under incomplete information. In Applied Stochastic Analysis (M. H. A. Davis and R. J. Elliott, eds.) 389-414. Gordon and Breach, London. MR1108430
  • 19
    • 51549105596 scopus 로고    scopus 로고
    • FÖLLMER, H. and SONDERMANN, D. (1986). Hedging of nonredundant contingent claims. In Contributions to Mathematical Economics 205-223. 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
  • 20
    • 0032114522 scopus 로고    scopus 로고
    • Mean-variance hedging and numéraire
    • MR1635796
    • GOURIEROUX, C, LAURENT, J. and PHAM, H. (1998). Mean-variance hedging and numéraire. Math. Finance 8 179-200. MR1635796
    • (1998) Math. Finance , vol.8 , pp. 179-200
    • GOURIEROUX, C.1    LAURENT, J.2    PHAM, H.3
  • 21
    • 0036630438 scopus 로고    scopus 로고
    • On the minimal entropy martingale measure
    • MR1920099
    • GRANDITS, P. and RHEINLÄNDER, T. (2002). On the minimal entropy martingale measure. Ann. Probab. 30 1003-1038. MR1920099
    • (2002) Ann. Probab , vol.30 , pp. 1003-1038
    • GRANDITS, P.1    RHEINLÄNDER, T.2
  • 23
    • 51549085057 scopus 로고    scopus 로고
    • Hedging in incomplete markets and optimal control
    • To appear
    • HIPP, C. and TAKSAR, M. (2005). Hedging in incomplete markets and optimal control. To appear.
    • (2005)
    • HIPP, C.1    TAKSAR, M.2
  • 24
    • 4644284003 scopus 로고    scopus 로고
    • Stochastic volatility models, correlation, and the q-optimal martingale measure
    • MR2092922
    • HOBSON, D. (2004). Stochastic volatility models, correlation, and the q-optimal martingale measure. Math. Finance 14 537-556. MR2092922
    • (2004) Math. Finance , vol.14 , pp. 537-556
    • HOBSON, D.1
  • 25
    • 51549119383 scopus 로고    scopus 로고
    • HOU, C. and KARATZAS, I. (2004). Least-squares approximation of random variables by stochastic integrals. In Stochastic Analysis and Related Topics in Kyoto 141-166. Math. Soc. Japan, Tokyo. MR2083708
    • HOU, C. and KARATZAS, I. (2004). Least-squares approximation of random variables by stochastic integrals. In Stochastic Analysis and Related Topics in Kyoto 141-166. Math. Soc. Japan, Tokyo. MR2083708
  • 26
    • 33746884344 scopus 로고    scopus 로고
    • Variance-optimal hedging for processes with stationary independent increments
    • MR2244435
    • HUBALEK, F., KRAWCZYK, L. and KALLSEN, J. (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    KRAWCZYK, L.2    KALLSEN, J.3
  • 27
    • 51549099839 scopus 로고    scopus 로고
    • JACOD, J. (1979). Calcul Stochastique et Problèmes de Martingales, Springer, Berlin. MR0542115
    • JACOD, J. (1979). Calcul Stochastique et Problèmes de Martingales, Springer, Berlin. MR0542115
  • 28
    • 51549102853 scopus 로고    scopus 로고
    • JACOD, J. and SHIRYAEV, A. (2003). Limit Theorems for Stochastic Processes, 2nd ed. Springer, Berlin. MR1943877
    • JACOD, J. and SHIRYAEV, A. (2003). Limit Theorems for Stochastic Processes, 2nd ed. Springer, Berlin. MR1943877
  • 29
    • 2142639330 scopus 로고    scopus 로고
    • σ-localization and σ-martingales
    • MR2013413
    • KALLSEN, J. (2004). σ-localization and σ-martingales. Theory Probab. Appl. 48 152-163. MR2013413
    • (2004) Theory Probab. Appl , vol.48 , pp. 152-163
    • KALLSEN, J.1
  • 30
    • 0002002286 scopus 로고    scopus 로고
    • Dynamic programming and mean-variance hedging
    • MR1805322
    • LAURENT, J. and PHAM, H. (1999). Dynamic programming and mean-variance hedging. Finance Stoch. 3 83-110. MR1805322
    • (1999) Finance Stoch , vol.3 , pp. 83-110
    • LAURENT, J.1    PHAM, H.2
  • 31
    • 51549114917 scopus 로고    scopus 로고
    • Mean-variance efficiency and intertemporal price for risk
    • Technical Report 00/35, Center of Finance and Econometrics, Univ. Konstanz
    • LEITNER, J. (2001). Mean-variance efficiency and intertemporal price for risk. Technical Report 00/35, Center of Finance and Econometrics, Univ. Konstanz.
    • (2001)
    • LEITNER, J.1
  • 32
    • 4043065614 scopus 로고    scopus 로고
    • Quadratic hedging and mean-variance portfolio selection with random parameters in an incomplete market
    • MR2065719
    • LIM, A. (2004). Quadratic hedging and mean-variance portfolio selection with random parameters in an incomplete market. Math. Oper. Res. 29 132-161. MR2065719
    • (2004) Math. Oper. Res , vol.29 , pp. 132-161
    • LIM, A.1
  • 33
    • 33748943862 scopus 로고    scopus 로고
    • LIM, A. (2005). Mean-variance hedging when there are jumps. SIAM J. Control Optim. 44 1893-1922.MR2193511
    • LIM, A. (2005). Mean-variance hedging when there are jumps. SIAM J. Control Optim. 44 1893-1922.MR2193511
  • 34
    • 0242706804 scopus 로고    scopus 로고
    • A semimartingale Bellman equation and the variance-optimal martingale measure
    • MR1811929
    • MANIA, M. and TEVZADZE, R. (2000). A semimartingale Bellman equation and the variance-optimal martingale measure. Georgian Math. J. 7 765-792. MR1811929
    • (2000) Georgian Math. J , vol.7 , pp. 765-792
    • MANIA, M.1    TEVZADZE, R.2
  • 35
    • 0242593868 scopus 로고    scopus 로고
    • Backward stochastic PDE and imperfect hedging
    • MR2019723
    • MANIA, M. and TEVZADZE, R. (2003). Backward stochastic PDE and imperfect hedging. Int. J. Theor. Appl. Finance 6 663-692. MR2019723
    • (2003) Int. J. Theor. Appl. Finance , vol.6 , pp. 663-692
    • MANIA, M.1    TEVZADZE, R.2
  • 36
    • 4944220195 scopus 로고    scopus 로고
    • MANIA, M. and TEVZADZE, R. (2003). A semimartingale backward equation and the variance-optimal martingale measure under general information flow. SIAM J. Control Optim. 42 1703-1726. MR2046382
    • MANIA, M. and TEVZADZE, R. (2003). A semimartingale backward equation and the variance-optimal martingale measure under general information flow. SIAM J. Control Optim. 42 1703-1726. MR2046382
  • 37
    • 0001041147 scopus 로고
    • Föllmer- Schweizer decomposition and mean-variance hedging for general claims
    • MR1334163
    • MONAT, P. and STRICKER, C. (1995). Föllmer- Schweizer decomposition and mean-variance hedging for general claims. Ann. Probab. 23 605-628. MR1334163
    • (1995) Ann. Probab , vol.23 , pp. 605-628
    • MONAT, P.1    STRICKER, C.2
  • 38
    • 1842555622 scopus 로고    scopus 로고
    • On quadratic hedging in continuous time
    • MR1761862
    • PHAM, H. (2000). On quadratic hedging in continuous time. Math. Methods Oper. Res. 51 315-339. MR1761862
    • (2000) Math. Methods Oper. Res , vol.51 , pp. 315-339
    • PHAM, H.1
  • 39
    • 51549114089 scopus 로고    scopus 로고
    • PROTTER, P. (2004). Stochastic Integration and Differential Equations, 2nd. ed. Springer, Berlin. MR2020294
    • PROTTER, P. (2004). Stochastic Integration and Differential Equations, 2nd. ed. Springer, Berlin. MR2020294
  • 40
    • 0038967260 scopus 로고    scopus 로고
    • 2-projections on a space of stochastic integrals
    • MR 1487437
    • 2-projections on a space of stochastic integrals. Ann. Probab. 25 1810-1831. MR 1487437
    • (1997) Ann. Probab , vol.25 , pp. 1810-1831
    • RHEINLÄNDER, T.1    SCHWEIZER, M.2
  • 41
    • 0000509435 scopus 로고
    • Option hedging for semimaitingales
    • MR1102880
    • SCHWEIZER, M. (1991). Option hedging for semimaitingales. Stochastic Process. Appl. 37 339-363. MR1102880
    • (1991) Stochastic Process. Appl , vol.37 , pp. 339-363
    • SCHWEIZER, M.1
  • 42
    • 0000479651 scopus 로고
    • Approximating random variables by stochastic integrals
    • MR1303653
    • SCHWEIZER, M. (1994). Approximating random variables by stochastic integrals. Ann. Probab. 22 1536-1575. MR1303653
    • (1994) Ann. Probab , vol.22 , pp. 1536-1575
    • SCHWEIZER, M.1
  • 43
    • 21844502575 scopus 로고
    • On the minimal martingale measure and the Föllmer-Schweizer decomposition
    • MR1353193
    • SCHWEIZER, M. (1995). On the minimal martingale measure and the Föllmer-Schweizer decomposition. Stochastic Anal. Appl. 13 573-599. MR1353193
    • (1995) Stochastic Anal. Appl , vol.13 , pp. 573-599
    • SCHWEIZER, M.1
  • 44
    • 0030516623 scopus 로고    scopus 로고
    • Approximation pricing and the variance-optimal martingale measure
    • MR1387633
    • SCHWEIZER, M. (1996). Approximation pricing and the variance-optimal martingale measure. Ann. Probab. 24 206-236. MR1387633
    • (1996) Ann. Probab , vol.24 , pp. 206-236
    • SCHWEIZER, M.1
  • 45
    • 51549097808 scopus 로고    scopus 로고
    • SCHWEIZER, M. (2001). A guided tour through quadratic hedging approaches. In Option Pricing, Interest Rates and Risk Management (E. Jouini, J. Cvitanic, and M. Musiela, eds.) 538-574. Cambridge Univ. Press. MR1848562
    • SCHWEIZER, M. (2001). A guided tour through quadratic hedging approaches. In Option Pricing, Interest Rates and Risk Management (E. Jouini, J. Cvitanic, and M. Musiela, eds.) 538-574. Cambridge Univ. Press. MR1848562
  • 46
    • 40549108095 scopus 로고    scopus 로고
    • 2-hedging strategy with stochastic volatility
    • Unpublished manuscript
    • 2-hedging strategy with stochastic volatility. Unpublished manuscript.
    • (2004)
    • SEKINE, J.1
  • 48
    • 33645124381 scopus 로고    scopus 로고
    • Markowitz's portfolio optimization in an incomplete market
    • MR2194902
    • XIA, J. and YAN, J. (2006). Markowitz's portfolio optimization in an incomplete market. Math. Finance 16 203-216. MR2194902
    • (2006) Math. Finance , vol.16 , pp. 203-216
    • XIA, J.1    YAN, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.