메뉴 건너뛰기




Volumn 8, Issue , 2002, Pages 127-142

Static hedging of barrier options with a smile: An inverse problem

Author keywords

Barrier option hedging; Carleman estimates; Inverse problems; Replication

Indexed keywords

BARRIER OPTION HEDGING; CARLEMAN ESTIMATES; STATIC HEDGING;

EID: 33644970511     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2002040     Document Type: Article
Times cited : (5)

References (54)
  • 1
  • 2
    • 55349090832 scopus 로고    scopus 로고
    • Managing the Volatility Risk of Portfolio of Derivative Securities: The Lagrangian Uncertain Volatility Model
    • M. Avellaneda and A. Paras, Managing the Volatility Risk of Portfolio of Derivative Securities: The Lagrangian Uncertain Volatility Model. Appl. Math. Finance 3 (1996) 21-52.
    • (1996) Appl. Math. Finance , vol.3 , pp. 21-52
    • Avellaneda, M.1    Paras, A.2
  • 4
    • 85015692260 scopus 로고
    • The Pricing of Options and Corporate Liabilities
    • F. Black and M. Scholes, The Pricing of Options and Corporate Liabilities. J. Polit. Econ. 81 (1973) 637-654.
    • (1973) J. Polit. Econ , vol.81 , pp. 637-654
    • Black, F.1    Scholes, M.2
  • 5
    • 0006010195 scopus 로고    scopus 로고
    • Breaking Barriers
    • P. Carr and A. Chou, Breaking Barriers. RISK (1997) 139-145.
    • (1997) RISK , pp. 139-145
    • Carr, P.1    Chou, A.2
  • 6
    • 0005997636 scopus 로고    scopus 로고
    • Static Hedging of Exotic Options
    • P. Carr, K. Ellis and V. Gupta, Static Hedging of Exotic Options. J. Finance (1998) 1165-1190.
    • (1998) J. Finance , pp. 1165-1190
    • Carr, P.1    Ellis, K.2    Gupta, V.3
  • 8
    • 0002515210 scopus 로고
    • Riding on a Smile
    • E. Derman and I. Kani, Riding on a Smile. Risk Mag. (1994) 32-39.
    • (1994) Risk Mag , pp. 32-39
    • Derman, E.1    Kani, I.2
  • 9
    • 0002959437 scopus 로고    scopus 로고
    • Stochastic Implied Trees: Arbitrage Pricing with Stochastic Term and Strike Structure of Volatility
    • E. Derman and I. Kani, Stochastic Implied Trees: Arbitrage Pricing with Stochastic Term and Strike Structure of Volatility. Int. J. Theor. Appl. Finance 1 (1998) 61-110.
    • (1998) Int. J. Theor. Appl. Finance , vol.1 , pp. 61-110
    • Derman, E.1    Kani, I.2
  • 10
    • 0345440261 scopus 로고    scopus 로고
    • Closed Form Formulas for Exotic Options and their Lifetime Distribution
    • R. Douady, Closed Form Formulas for Exotic Options and their Lifetime Distribution. Int. J. Theor. Appl. Finance 2 (1998) 17-42.
    • (1998) Int. J. Theor. Appl. Finance , vol.2 , pp. 17-42
    • Douady, R.1
  • 12
    • 0002995596 scopus 로고    scopus 로고
    • Pricing and Hedging with Smiles
    • edited by M.A.H. Dempster and S.R. Pliska. Cambridge Univ. Press, Cambridge
    • B. Dupire, Pricing and Hedging with Smiles in Mathematics of Derivative Securities, edited by M.A.H. Dempster and S.R. Pliska. Cambridge Univ. Press, Cambridge (1997) 103-111.
    • (1997) Mathematics of Derivative Securities , pp. 103-111
    • Dupire, B.1
  • 15
    • 0346190198 scopus 로고
    • Lagrange principle for problems of optimal control of ill-posed or singular distributed systems
    • A.V. Fursikov, Lagrange principle for problems of optimal control of ill-posed or singular distributed systems. J. Math. Pures Appl. 71 (1992) 139-194.
    • (1992) J. Math. Pures Appl , vol.71 , pp. 139-194
    • Fursikov, A.V.1
  • 16
    • 0001451054 scopus 로고
    • On approximate controllability of the Stokes system
    • A. V. Fursikov and O. Yu. Imanuvilov, On approximate controllability of the Stokes system. Ann. Fac. Sci. Toulouse 11 (1993) 205-232.
    • (1993) Ann. Fac. Sci. Toulouse , vol.11 , pp. 205-232
    • Fursikov, A.V.1    Imanuvilov, O.Y.2
  • 17
    • 0346190197 scopus 로고    scopus 로고
    • Local exact controllability of two dimensional Navier-Stokes system with control on the part of the boundary
    • A.V. Fursikov and O. Yu. Imanuvilov, Local exact controllability of two dimensional Navier-Stokes system with control on the part of the boundary. Math. Sbornik. 187 (1996).
    • (1996) Math. Sbornik , vol.187
    • Fursikov, A.V.1    Imanuvilov, O.Y.2
  • 21
    • 0015602539 scopus 로고
    • Theory of Rational Option Pricing
    • R.C. Merton, Theory of Rational Option Pricing. Bell J. Econ. Manag. Sci. 4 (1973) 141-183.
    • (1973) Bell J. Econ. Manag. Sci , vol.4 , pp. 141-183
    • Merton, R.C.1
  • 23
    • 0004290462 scopus 로고
    • Finance Working Paper No. 220. U.C. Berkeley
    • M. Rubinstein, Exotic Options, Finance Working Paper No. 220. U.C. Berkeley (1991).
    • (1991) Exotic Options
    • Rubinstein, M.1
  • 24
    • 33645455681 scopus 로고    scopus 로고
    • On the Controllability Problem Arising in Financial Mathematics
    • P.O. Shorygin, On the Controllability Problem Arising in Financial Mathematics. J. Dynam. Control. Syst. 6 (2000) 353-363.
    • (2000) J. Dynam. Control. Syst , vol.6 , pp. 353-363
    • Shorygin, P.O.1
  • 26
    • 0001692117 scopus 로고    scopus 로고
    • Carleman estimates and unique continuation for solutions to boundary value problems
    • D. Tataru, Carleman estimates and unique continuation for solutions to boundary value problems. J. Math. Pures Appl. 75 (1996) 367-408.
    • (1996) J. Math. Pures Appl , vol.75 , pp. 367-408
    • Tataru, D.1
  • 29
    • 35348948216 scopus 로고    scopus 로고
    • S. Allen and O. Padovani, Risk Management Using Static Hedging, Working paper. Courant Institute, N.Y.U. (2001).
    • S. Allen and O. Padovani, Risk Management Using Static Hedging, Working paper. Courant Institute, N.Y.U. (2001).
  • 30
  • 33
    • 0039223061 scopus 로고
    • Static Simplicity
    • J. Bowie and P. Carr, Static Simplicity. RISK (1994) 44-50.
    • (1994) RISK , pp. 44-50
    • Bowie, J.1    Carr, P.2
  • 34
    • 0035640803 scopus 로고    scopus 로고
    • Robust Hedging of Barrier Options
    • H. Brown, D. Hobson and C. Rogers, Robust Hedging of Barrier Options. Math. Finance 11 (2000) 285-314.
    • (2000) Math. Finance , vol.11 , pp. 285-314
    • Brown, H.1    Hobson, D.2    Rogers, C.3
  • 35
    • 84979760970 scopus 로고    scopus 로고
    • Static Hedging of Timing Risk
    • P. Carr and J. Picron, Static Hedging of Timing Risk. J. Derivatives (1999) 57-66.
    • (1999) J. Derivatives , pp. 57-66
    • Carr, P.1    Picron, J.2
  • 36
    • 35349028064 scopus 로고    scopus 로고
    • P. Carr and A. Chou, Static Hedging of Complex Barrier Options, Working paper. Courant Institute, N.Y.U. (1998).
    • P. Carr and A. Chou, Static Hedging of Complex Barrier Options, Working paper. Courant Institute, N.Y.U. (1998).
  • 37
    • 35349029138 scopus 로고    scopus 로고
    • A Uniform Approach to Static Replication
    • Fall
    • A. Chou and G. Grigoriev, A Uniform Approach to Static Replication. J. Risk Fall (1998) 73-86.
    • (1998) J. Risk , pp. 73-86
    • Chou, A.1    Grigoriev, G.2
  • 41
    • 84858366832 scopus 로고    scopus 로고
    • N. El Karoui and M. Jeanblanc-Piqué Exotic Options Without Mathematics, Working paper. Univ. Paris VII (1997).
    • N. El Karoui and M. Jeanblanc-Piqué Exotic Options Without Mathematics, Working paper. Univ. Paris VII (1997).
  • 45
    • 0000031715 scopus 로고    scopus 로고
    • Robust Hedging of the Lookback Option
    • D. Hobson, Robust Hedging of the Lookback Option. Finance and Stochastics 2 (1998) 329-347.
    • (1998) Finance and Stochastics , vol.2 , pp. 329-347
    • Hobson, D.1
  • 47
    • 35348983137 scopus 로고    scopus 로고
    • Financial Risk Management: Dynamic vs. Static Hedging
    • G. Koutmos, Financial Risk Management: Dynamic vs. Static Hedging. Global Bus. Econ. Rev. I (1999) 60-75.
    • (1999) Global Bus. Econ. Rev , vol.1 , pp. 60-75
    • Koutmos, G.1
  • 51
    • 35348937390 scopus 로고    scopus 로고
    • Exotic Options II
    • Chap. 4, edited by C. Alexander
    • B. Thomas, Exotic Options II in Handbbok of Risk Management, Chap. 4, edited by C. Alexander (1998).
    • (1998) Handbbok of Risk Management
    • Thomas, B.1
  • 53
    • 0041577681 scopus 로고    scopus 로고
    • How Well Can Barrier Options be Hedged by a Static Portfolio of Standard Options?
    • K. Toft and C. Xuan, How Well Can Barrier Options be Hedged by a Static Portfolio of Standard Options? J. Fin. Engrg. 7 (1998) 147-175.
    • (1998) J. Fin. Engrg , vol.7 , pp. 147-175
    • Toft, K.1    Xuan, C.2
  • 54
    • 35349007718 scopus 로고    scopus 로고
    • vs. Dynamic Hedging of Exotic Options: An Evaluation of Hedge Performance via Simulation
    • R. Tompkins, Static vs. Dynamic Hedging of Exotic Options: An Evaluation of Hedge Performance via Simulation. Net Exposure 2 (1997) 1-36.
    • (1997) Net Exposure , vol.2 , pp. 1-36
    • Tompkins, R.1    Static2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.