메뉴 건너뛰기




Volumn 82, Issue 10, 2009, Pages 1841-1855

Dynamic hedging of basket options under proportional transaction costs using receding horizon control

Author keywords

Dynamic hedging, semi definite programming; Model predictive control; Receding horizon control

Indexed keywords

BASKET OPTION; BLACK-SCHOLES; CONSTRAINED STOCHASTIC CONTROL; DYNAMIC HEDGING; DYNAMIC HEDGING, SEMI-DEFINITE PROGRAMMING; FINITE HORIZONS; NUMERICAL EXAMPLE; ONE-DIMENSIONAL; RECEDING HORIZON CONTROL; SEMI-DEFINITE PROGRAMMING; TRANSACTION COST;

EID: 68949116039     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170902783341     Document Type: Article
Times cited : (40)

References (44)
  • 2
    • 0014476598 scopus 로고
    • Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
    • Albert, A. (1969), 'Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses', SiAM Journal on Applied Mathematics, 17, 434-440.
    • (1969) SiAM Journal on Applied Mathematics , vol.17 , pp. 434-440
    • Albert, A.1
  • 4
    • 33751571239 scopus 로고    scopus 로고
    • Pricing a European Basket Option in the Presence of Proportional Transaction Costs
    • Atkinson, C., and Alexandropoulos, C.A. (2006), 'Pricing a European Basket Option in the Presence of Proportional Transaction Costs', Applied Mathematical Finance, 13, 191-214.
    • (2006) Applied Mathematical Finance , vol.13 , pp. 191-214
    • Atkinson, C.1    Alexandropoulos, C.A.2
  • 6
    • 0034842715 scopus 로고    scopus 로고
    • Stochastic Disturbance Rejection in Model Predictive Control by Randomized Algorithms
    • Arlington, Virginia, pp
    • Batina, I., Stoorvogel, A.A., and Weiland, S. (2001b), 'Stochastic Disturbance Rejection in Model Predictive Control by Randomized Algorithms', in Proceedings of American Control Conference, Arlington, Virginia, pp. 732-737.
    • (2001) Proceedings of American Control Conference , pp. 732-737
    • Batina, I.1    Stoorvogel, A.A.2    Weiland, S.3
  • 7
    • 0036990602 scopus 로고    scopus 로고
    • Model Predicitive Control of Linear, Stochastic Systems with State and Input Constraints
    • Las Vegas, Nevada, pp
    • Batina, I., Stoorvogel, A.A., and Weiland, S. (2002), 'Model Predicitive Control of Linear, Stochastic Systems with State and Input Constraints', in Proceedings of Conference on Decision and Control, Las Vegas, Nevada, pp. 1564-1569.
    • (2002) Proceedings of Conference on Decision and Control , pp. 1564-1569
    • Batina, I.1    Stoorvogel, A.A.2    Weiland, S.3
  • 8
    • 85015692260 scopus 로고
    • The Pricing of Options and Corporate Liabilities
    • Black, F., and Scholes, M. (1973), 'The Pricing of Options and Corporate Liabilities', Journal of Political Economy, 81, 637-659.
    • (1973) Journal of Political Economy , vol.81 , pp. 637-659
    • Black, F.1    Scholes, M.2
  • 10
    • 84977731998 scopus 로고
    • Option Replication in Discrete Time with Transaction Costs
    • Boyle, P., and Vorst, T. (1992), 'Option Replication in Discrete Time with Transaction Costs', Journal of Finance, 47, 271-293.
    • (1992) Journal of Finance , vol.47 , pp. 271-293
    • Boyle, P.1    Vorst, T.2
  • 11
    • 0032385885 scopus 로고    scopus 로고
    • Dynamic Stochastic Programming for Asset-liability Management
    • Consigli, G, and Dempster, M.A.H. (1998), 'Dynamic Stochastic Programming for Asset-liability Management', Annals of Operations Research, 81, 131-161.
    • (1998) Annals of Operations Research , vol.81 , pp. 131-161
    • Consigli, G.1    Dempster, M.A.H.2
  • 12
    • 33750454465 scopus 로고    scopus 로고
    • Stochastic MPC with Inequality Stability Constraints
    • Couchman, P.D., Cannon, M., and Kouvaritakis, B. (2006), 'Stochastic MPC with Inequality Stability Constraints', Automatica, 42, 2169-2174.
    • (2006) Automatica , vol.42 , pp. 2169-2174
    • Couchman, P.D.1    Cannon, M.2    Kouvaritakis, B.3
  • 18
    • 34848857005 scopus 로고    scopus 로고
    • Optimal Hedging Strategies for Multi-period Guarantees in the Presence of Transaction Costs: A Stochastic Programming Approach
    • Fleten, S-E, and Lindset, S. (2008), 'Optimal Hedging Strategies for Multi-period Guarantees in the Presence of Transaction Costs: A Stochastic Programming Approach', European Journal of Operational Research, 185, 1680-1689.
    • (2008) European Journal of Operational Research , vol.185 , pp. 1680-1689
    • Fleten, S.-E.1    Lindset, S.2
  • 19
    • 38649141305 scopus 로고
    • Martingales and Arbitrage in Multiperiod Securities Markets
    • Harrison, M.J., and Kreps, D.M. (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, M.J.1    Kreps, D.M.2
  • 20
    • 41649091143 scopus 로고
    • Martingales and Stochastic Integrals in the Theory of Continuous Trading
    • Harrison, M.J., and Pliska, S.R. (1981), 'Martingales and Stochastic Integrals in the Theory of Continuous Trading', Stochastic Processes and their Applications, 11, 215-260.
    • (1981) Stochastic Processes and their Applications , vol.11 , pp. 215-260
    • Harrison, M.J.1    Pliska, S.R.2
  • 24
    • 0000714946 scopus 로고
    • Optimal Replication of Contingent Claims Under Transaction Costs
    • Hodges, S.D., and Neuberger, A. (1989), 'Optimal Replication of Contingent Claims Under Transaction Costs', The Review of Futures Markets, 8, 222-239.
    • (1989) The Review of Futures Markets , vol.8 , pp. 222-239
    • Hodges, S.D.1    Neuberger, A.2
  • 26
    • 0035261934 scopus 로고    scopus 로고
    • Generating Scenario Trees for Multistage Decision Problems
    • Hoyland, K., and Wallace, S.W. (2001), 'Generating Scenario Trees for Multistage Decision Problems', Management Science, 47, 295-307.
    • (2001) Management Science , vol.47 , pp. 295-307
    • Hoyland, K.1    Wallace, S.W.2
  • 27
    • 68949148144 scopus 로고    scopus 로고
    • Hull, J. (2000), Options, Futures, and Other Derivatives(4th ed.), Upper Saddle River, NJ: Prentice Hall. Kabanov, Y., and Safarian, M.M. (1997), 'On Leland's Strategy of Option Pricing with Transaction Costs', Finance and Stochastics, 1, 238-250.
    • Hull, J. (2000), Options, Futures, and Other Derivatives(4th ed.), Upper Saddle River, NJ: Prentice Hall. Kabanov, Y., and Safarian, M.M. (1997), 'On Leland's Strategy of Option Pricing with Transaction Costs', Finance and Stochastics, 1, 238-250.
  • 28
    • 0036871244 scopus 로고    scopus 로고
    • Comment on Generating Scenario Trees for Multistage Decision Problems
    • Klaassen, P. (2002), 'Comment on Generating Scenario Trees for Multistage Decision Problems', Management Science, 48, 1512-1516.
    • (2002) Management Science , vol.48 , pp. 1512-1516
    • Klaassen, P.1
  • 29
    • 3042546358 scopus 로고    scopus 로고
    • Recent Developments in Stochastic MPC and Sustainable Development
    • Kouvaritakis, B., Cannon, M., and Tsachouridis, V. (2004), 'Recent Developments in Stochastic MPC and Sustainable Development', Annual Reviews in Control, 28, 23-35.
    • (2004) Annual Reviews in Control , vol.28 , pp. 23-35
    • Kouvaritakis, B.1    Cannon, M.2    Tsachouridis, V.3
  • 30
    • 0035900037 scopus 로고    scopus 로고
    • Scenario Generation and Stochastic Programming Models for Asset Liability Management
    • Kouwenberg, R. (2001), 'Scenario Generation and Stochastic Programming Models for Asset Liability Management', European Journal of Operational Research, 134, 279-292.
    • (2001) European Journal of Operational Research , vol.134 , pp. 279-292
    • Kouwenberg, R.1
  • 31
    • 0022715033 scopus 로고
    • A Bank Asset and Liability Model
    • Kusy, M.I., and Ziemba, W.T. (1986), 'A Bank Asset and Liability Model', Operations Research, 34, 356-376.
    • (1986) Operations Research , vol.34 , pp. 356-376
    • Kusy, M.I.1    Ziemba, W.T.2
  • 32
    • 0000072761 scopus 로고
    • Extended Kalman Filter Based Nonlinear Model Predictive Control
    • Lee, J.H., and Ricker, N.L. (1994), 'Extended Kalman Filter Based Nonlinear Model Predictive Control', Industrial and Engineering Chemistry Research, 33, 1530-1541.
    • (1994) Industrial and Engineering Chemistry Research , vol.33 , pp. 1530-1541
    • Lee, J.H.1    Ricker, N.L.2
  • 33
    • 84944830176 scopus 로고
    • Option Pricing and Replication with Transaction Costs
    • Leland, H. (1985), 'Option Pricing and Replication with Transaction Costs', Journal of Finance, 40, 1283-1301.
    • (1985) Journal of Finance , vol.40 , pp. 1283-1301
    • Leland, H.1
  • 35
    • 41549114183 scopus 로고    scopus 로고
    • Dynamic Hedging of Single and Multi-Dimensional Options with Transaction Costs: A Generalized Utility Maximization Approach
    • Meindl, P., and Primbs, J.A. (2008), 'Dynamic Hedging of Single and Multi-Dimensional Options with Transaction Costs: a Generalized Utility Maximization Approach', Quantitative Finance, 8, 299-312.
    • (2008) Quantitative Finance , vol.8 , pp. 299-312
    • Meindl, P.1    Primbs, J.A.2
  • 37
    • 0000114960 scopus 로고
    • Stochastic Network Planning for Financial Planning Problems
    • Mulvey, J.M., and Vladimirou, H. (1992), 'Stochastic Network Planning for Financial Planning Problems', Management Science, 38, 1642-1664.
    • (1992) Management Science , vol.38 , pp. 1642-1664
    • Mulvey, J.M.1    Vladimirou, H.2
  • 38
    • 68949146205 scopus 로고    scopus 로고
    • MPC-based Methods for Constrained Control of Non-linear Systems
    • Montpellier, France
    • Nevistic, V., and Morari, M. (1996), 'MPC-based Methods for Constrained Control of Non-linear Systems', World Automation Congress, Montpellier, France.
    • (1996) World Automation Congress
    • Nevistic, V.1    Morari, M.2
  • 40
    • 39549112516 scopus 로고    scopus 로고
    • Stochastic Receding Horizon Control of Constrained Linear Systems with State and Control Multiplicative Noise
    • New York, NY, pp, July
    • Primbs, J.A. (2007), 'Stochastic Receding Horizon Control of Constrained Linear Systems with State and Control Multiplicative Noise', in Proceedings of the American Control Conference, New York, NY, pp. 4470-4475. July.
    • (2007) Proceedings of the American Control Conference , pp. 4470-4475
    • Primbs, J.A.1
  • 41
    • 0002062038 scopus 로고    scopus 로고
    • Optimization of Conditional Value-at-risk
    • Rockafellar, R.T., and Uryasev, S. (2000), 'Optimization of Conditional Value-at-risk', The Journal of Risk, 2, 21-41.
    • (2000) The Journal of Risk , vol.2 , pp. 21-41
    • Rockafellar, R.T.1    Uryasev, S.2
  • 42
    • 68949157751 scopus 로고    scopus 로고
    • Sturm, J, 2004, SeDuMi: Version 1.05, October. van Hessem, D.H, and Bosgra, O.H, 2003, A Full Solution to the Constrained Stochastic Closed-loop MPC Problem via State and Innovations Feedback and Its Receding Horizon Implementation, in Proceedings of the 2003 Conference on Decision and Control, Hawaii, USA: Maui, December
    • Sturm, J. (2004), SeDuMi: Version 1.05, October. van Hessem, D.H., and Bosgra, O.H. (2003), 'A Full Solution to the Constrained Stochastic Closed-loop MPC Problem via State and Innovations Feedback and Its Receding Horizon Implementation', in Proceedings of the 2003 Conference on Decision and Control, Hawaii, USA: Maui, December.
  • 43
    • 8744269765 scopus 로고    scopus 로고
    • Closed-loop Stochastic Model Predictive Control in a Receding Horizon Implementation on a Continuous Polymerization Reactor Example
    • Boston, MA
    • van Hessem, D.H., and Bosgra, O.H. (2004), 'Closed-loop Stochastic Model Predictive Control in a Receding Horizon Implementation on a Continuous Polymerization Reactor Example', in Proceedings of the 2004 American Control Conference, Boston, MA..
    • (2004) Proceedings of the 2004 American Control Conference
    • van Hessem, D.H.1    Bosgra, O.H.2
  • 44
    • 0030106462 scopus 로고    scopus 로고
    • Vandenberghe, L., and Boyd, S. (1996), 'Semidefinite Programming', SIAM Review, 38, 49-95. Zhao, Y., and Ziemba, W.T. (2007), 'Hedging Errors with Leland's Option Model in the Presence of Transaction Costs', Finance Research Letters, 4, 49-58.
    • Vandenberghe, L., and Boyd, S. (1996), 'Semidefinite Programming', SIAM Review, 38, 49-95. Zhao, Y., and Ziemba, W.T. (2007), 'Hedging Errors with Leland's Option Model in the Presence of Transaction Costs', Finance Research Letters, 4, 49-58.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.