메뉴 건너뛰기




Volumn 79, Issue 1-2, 2012, Pages 45-64

Large liquidity expansion of super-hedging costs

Author keywords

asymptotic expansions; liquidity; super replication; viscosity solutions

Indexed keywords

ASYMPTOTIC EXPANSION; FINANCIAL MARKET; LIQUIDITY; STOCHASTICS; SUPER-REPLICATION; SUPPLY FUNCTION; TAYLOR EXPANSIONS; VISCOSITY SOLUTIONS;

EID: 84865495780     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: 10.3233/ASY-2011-1089     Document Type: Article
Times cited : (7)

References (24)
  • 1
    • 0001530170 scopus 로고
    • Discontinuous solutions of deterministic optimal stopping problems
    • G. Barles and B. Perthame, Discontinuous solutions of deterministic optimal stopping problems, Mathematical Modeling and Numerical Analysis 21 (1987), 557-579.
    • (1987) Mathematical Modeling and Numerical Analysis , vol.21 , pp. 557-579
    • Barles, G.1    Perthame, B.2
  • 2
    • 0001168080 scopus 로고    scopus 로고
    • Option pricing with transaction costs and a nonlinear Black-Scholes equation
    • G. Barles and H.M. Soner, Option pricing with transaction costs and a nonlinear Black-Scholes equation, Finance and Stochastics 2 (1998), 369-397.
    • (1998) Finance and Stochastics , vol.2 , pp. 369-397
    • Barles, G.1    Soner, H.M.2
  • 4
    • 33645742250 scopus 로고    scopus 로고
    • Pricing options in an extended Black-Scholes economy with illiquidity: Theory and empirical evidence
    • U. Çetin, R. Jarrow, P. Protter and M. Warachka, Pricing options in an extended Black-Scholes economy with illiquidity: theory and empirical evidence, The Review of Financial Studies 19 (2006), 493-529.
    • (2006) The Review of Financial Studies , vol.19 , pp. 493-529
    • Çetin, U.1    Jarrow, R.2    Protter, P.3    Warachka, M.4
  • 5
    • 33845606363 scopus 로고    scopus 로고
    • Modelling liquidity effects in discrete time
    • U. Çetin and L.C.G. Rogers, Modelling liquidity effects in discrete time, Mathematical Finance 17(1) (2007), 15-19.
    • (2007) Mathematical Finance , vol.17 , Issue.1 , pp. 15-19
    • Çetin, U.1    Rogers, L.C.G.2
  • 6
    • 77954535783 scopus 로고    scopus 로고
    • Options hedging for small investors under liquidity costs
    • U. Cetin, H.M. Soner and N. Touzi, Options hedging for small investors under liquidity costs, Finance and Stochastics 14(3) (2010), 317-341.
    • (2010) Finance and Stochastics , vol.14 , Issue.3 , pp. 317-341
    • Cetin, U.1    Soner, H.M.2    Touzi, N.3
  • 8
    • 30844453791 scopus 로고    scopus 로고
    • Small time path behavior of double stochastic integrals and applications to stochastic control
    • P. Cheridito, H.M. Soner and N. Touzi, Small time path behavior of double stochastic integrals and applications to stochastic control, Annals of Applied Probability 15(4) (2005), 2472-2495.
    • (2005) Annals of Applied Probability , vol.15 , Issue.4 , pp. 2472-2495
    • Cheridito, P.1    Soner, H.M.2    Touzi, N.3
  • 9
    • 34249723795 scopus 로고    scopus 로고
    • Second order backward stochastic differential equations and fully non-linear parabolic PDEs
    • P. Cheridito, H.M. Soner, N. Touzi and N. Victoir, Second order backward stochastic differential equations and fully non-linear parabolic PDEs, Communications on Pure and Applied Mathematics 60(7) (2007), 1081-1110.
    • (2007) Communications on Pure and Applied Mathematics , vol.60 , Issue.7 , pp. 1081-1110
    • Cheridito, P.1    Soner, H.M.2    Touzi, N.3    Victoir, N.4
  • 10
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • M.G. Crandall, H. Ishii and P.L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bulletin of the American Mathematical Society 27(1) (1992), 1-67.
    • (1992) Bulletin of the American Mathematical Society , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 11
    • 0000177425 scopus 로고
    • Asymptotic expansions for Markov processes with Levy generators
    • W.H. Fleming and H.M. Soner, Asymptotic expansions for Markov processes with Levy generators, Applied Mathematics and Optimization 19(3) (1989), 203-223.
    • (1989) Applied Mathematics and Optimization , vol.19 , Issue.3 , pp. 203-223
    • Fleming, W.H.1    Soner, H.M.2
  • 12
    • 0003294328 scopus 로고
    • Controlled markov processes and viscosity solutions
    • Springer-Verlag, New York
    • W.H. Fleming and H.M. Soner, Controlled Markov Processes and Viscosity Solutions, Applications of Mathematics, Vol. 25, Springer-Verlag, New York, 1993.
    • (1993) Applications of Mathematics , vol.25
    • Fleming, W.H.1    Soner, H.M.2
  • 16
    • 0000419207 scopus 로고
    • Limit theorem on option replication cost with transaction costs
    • S. Kusuoka, Limit theorem on option replication cost with transaction costs, Annals of Applied Probability 5 (1995), 198-221.
    • (1995) Annals of Applied Probability , vol.5 , pp. 198-221
    • Kusuoka, S.1
  • 17
    • 0001130358 scopus 로고
    • An asymptotic analysis of hierarchical control of manufacturing systems under uncertainty
    • J. Lehoczky, S.P. Sethi, H.M. Soner and M.I. Taksar, An asymptotic analysis of hierarchical control of manufacturing systems under uncertainty, Mathematics of Operations Research 16(3) (1991), 596-608.
    • (1991) Mathematics of Operations Research , vol.16 , Issue.3 , pp. 596-608
    • Lehoczky, J.1    Sethi, S.P.2    Soner, H.M.3    Taksar, M.I.4
  • 18
    • 84944830176 scopus 로고
    • Option pricing and replication with transaction costs
    • H.E. Leland, Option pricing and replication with transaction costs, Journal of Finance 40 (1985), 1283-1301.
    • (1985) Journal of Finance , vol.40 , pp. 1283-1301
    • Leland, H.E.1
  • 19
    • 0000147314 scopus 로고
    • Turnpike sets and their analysis in stochastic production planning problems
    • S. Sethi, H.M. Soner, Q. Zhang and J. Jiang, Turnpike sets and their analysis in stochastic production planning problems, Mathematics of Operations Research 17(4) (1992), 932-950.
    • (1992) Mathematics of Operations Research , vol.17 , Issue.4 , pp. 932-950
    • Sethi, S.1    Soner, H.M.2    Zhang, Q.3    Jiang, J.4
  • 20
  • 22
    • 0037249034 scopus 로고    scopus 로고
    • Stochastic target problems, dynamic programming and viscosity solutions
    • H.M. Soner and N. Touzi, Stochastic target problems, dynamic programming and viscosity solutions, SIAM Journal on Control and Optimization 41 (2002), 404-424.
    • (2002) SIAM Journal on Control and Optimization , vol.41 , pp. 404-424
    • Soner, H.M.1    Touzi, N.2
  • 23
    • 33845799781 scopus 로고    scopus 로고
    • Dynamic programming for stochastic target problems and geometric flows
    • H.M. Soner and N. Touzi, Dynamic programming for stochastic target problems and geometric flows, Journal of the European Mathematical Society 4 (2002), 201-236.
    • (2002) Journal of the European Mathematical Society , vol.4 , pp. 201-236
    • Soner, H.M.1    Touzi, N.2
  • 24
    • 77954539667 scopus 로고    scopus 로고
    • The dynamic programming equation for second order stochastic target problems
    • H.M. Soner and N. Touzi, The dynamic programming equation for second order stochastic target problems, SIAM Journal on Control and Optimization 48(4) (2009), 2344-2365.
    • (2009) SIAM Journal on Control and Optimization , vol.48 , Issue.4 , pp. 2344-2365
    • Soner, H.M.1    Touzi, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.