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Volumn 27, Issue 2, 2017, Pages 350-400

TRADING WITH SMALL PRICE IMPACT

Author keywords

asymptotics; homogenization; portfolio choice; price impact; viscosity solutions

Indexed keywords


EID: 84932118027     PISSN: 09601627     EISSN: 14679965     Source Type: Journal    
DOI: 10.1111/mafi.12098     Document Type: Article
Times cited : (62)

References (59)
  • 1
    • 75849149693 scopus 로고    scopus 로고
    • Optimal Execution Strategies in Limit Order Books with General Shape Functions
    • Alfonsi, A., A. Fruth, and A. Schied (2010): Optimal Execution Strategies in Limit Order Books with General Shape Functions, Quant. Finance 10(2), 143–157.
    • (2010) Quant. Finance , vol.10 , Issue.2 , pp. 143-157
    • Alfonsi, A.1    Fruth, A.2    Schied, A.3
  • 2
    • 0344354031 scopus 로고    scopus 로고
    • Optimal Execution of Portfolio Transactions
    • Almgren, R. F., and N. Chriss (2001): Optimal Execution of Portfolio Transactions, J. Risk 3, 5–40.
    • (2001) J. Risk , vol.3 , pp. 5-40
    • Almgren, R.F.1    Chriss, N.2
  • 4
    • 75849126749 scopus 로고    scopus 로고
    • Direct Estimation of Equity Market Impact
    • July
    • Almgren, R. F., C. Thum, E. Hauptmann, and H. Li (2005): Direct Estimation of Equity Market Impact, RISK July, 57–62.
    • (2005) RISK , pp. 57-62
    • Almgren, R.F.1    Thum, C.2    Hauptmann, E.3    Li, H.4
  • 5
    • 84925494176 scopus 로고    scopus 로고
    • Asymptotics for Fixed Transaction Costs
    • Altarovici, A., J. Muhle-Karbe, and H. M. Soner (2015): Asymptotics for Fixed Transaction Costs, Finance Stoch. 19(2), 363–414.
    • (2015) Finance Stoch , vol.19 , Issue.2 , pp. 363-414
    • Altarovici, A.1    Muhle-Karbe, J.2    Soner, H.M.3
  • 6
    • 0002267373 scopus 로고    scopus 로고
    • Optimal Control of Execution Costs
    • Bertsimas, D., and A. W. Lo (1998): Optimal Control of Execution Costs, J. Finan. Markets 1(1), 1–50.
    • (1998) J. Finan. Markets , vol.1 , Issue.1 , pp. 1-50
    • Bertsimas, D.1    Lo, A.W.2
  • 7
    • 79952309768 scopus 로고    scopus 로고
    • Admissible Strategies in Semimartingale Portfolio Selection
    • Biagini, S., and A. Černý (2011): Admissible Strategies in Semimartingale Portfolio Selection, SIAM J. Control Optim. 49(1), 42–72.
    • (2011) SIAM J. Control Optim , vol.49 , Issue.1 , pp. 42-72
    • Biagini, S.1    Černý, A.2
  • 8
    • 84904510227 scopus 로고    scopus 로고
    • Pricing a Contingent Claim Liability Using Asymptotic Analysis for Optimal Investment in Finite Time with Transaction Costs
    • Bichuch, M. (2014): Pricing a Contingent Claim Liability Using Asymptotic Analysis for Optimal Investment in Finite Time with Transaction Costs, Finance Stoch. 18(3), 651–694.
    • (2014) Finance Stoch , vol.18 , Issue.3 , pp. 651-694
    • Bichuch, M.1
  • 10
    • 84871598940 scopus 로고    scopus 로고
    • Weak Dynamic Programming for Generalized State Constraints
    • Bouchard, B., and M. Nutz (2012): Weak Dynamic Programming for Generalized State Constraints, SIAM J. Control Optim. 50(6), 3344–3373.
    • (2012) SIAM J. Control Optim , vol.50 , Issue.6 , pp. 3344-3373
    • Bouchard, B.1    Nutz, M.2
  • 11
    • 79960347909 scopus 로고    scopus 로고
    • Weak Dynamic Programming Principle for Viscosity Solutions
    • Bouchard, B., and N. Touzi (2011): Weak Dynamic Programming Principle for Viscosity Solutions, SIAM J. Control Optim. 49(3), 948–962.
    • (2011) SIAM J. Control Optim , vol.49 , Issue.3 , pp. 948-962
    • Bouchard, B.1    Touzi, N.2
  • 14
    • 84967708673 scopus 로고
    • User's Guide to Viscosity Solutions of Second Order Partial Differential Equations
    • Crandall, M., H. Ishii, and P. Lions (1992): User's Guide to Viscosity Solutions of Second Order Partial Differential Equations, Bull. Amer. Math. Soc. (N.S.) 27(1), 1–67.
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.1    Ishii, H.2    Lions, P.3
  • 15
    • 0003085771 scopus 로고    scopus 로고
    • Option Pricing in Incomplete Markets
    • in, Cambridge, Cambridge University Press
    • Davis, M. H. A. (1997): Option Pricing in Incomplete Markets, in Mathematics of Derivative Securities, Cambridge: Cambridge University Press, pp. 216–226.
    • (1997) Mathematics of Derivative Securities , pp. 216-226
    • Davis, M.H.A.1
  • 19
    • 84974059058 scopus 로고
    • Periodic Homogenisation of Certain Fully Nonlinear Partial Differential Equations
    • Evans, L. (1992): Periodic Homogenisation of Certain Fully Nonlinear Partial Differential Equations, Proc. Roy. Soc. Edinburgh A 120(3-4), 245–265.
    • (1992) Proc. Roy. Soc. Edinburgh A , vol.120 , Issue.3-4 , pp. 245-265
    • Evans, L.1
  • 23
    • 84883696465 scopus 로고    scopus 로고
    • Dynamic Trading with Predictable Returns and Transaction Costs
    • Garleanu, N., and L. H. Pedersen (2013): Dynamic Trading with Predictable Returns and Transaction Costs, J. Finance 68(6), 2309–2340.
    • (2013) J. Finance , vol.68 , Issue.6 , pp. 2309-2340
    • Garleanu, N.1    Pedersen, L.H.2
  • 24
    • 77955616589 scopus 로고    scopus 로고
    • No-Dynamic-Arbitrage and Market Impact
    • Gatheral, J. (2010): No-Dynamic-Arbitrage and Market Impact, Quant. Finance 10(7), 749–759.
    • (2010) Quant. Finance , vol.10 , Issue.7 , pp. 749-759
    • Gatheral, J.1
  • 25
    • 77951182026 scopus 로고    scopus 로고
    • Balancing Small Transaction Costs with Loss of Optimal Allocation in Dynamic Stock Trading Strategies
    • Goodman, J., and D. N. Ostrov (2010): Balancing Small Transaction Costs with Loss of Optimal Allocation in Dynamic Stock Trading Strategies, SIAM J. Appl. Math. 70(6), 1977–1998.
    • (2010) SIAM J. Appl. Math , vol.70 , Issue.6 , pp. 1977-1998
    • Goodman, J.1    Ostrov, D.N.2
  • 26
    • 84907695328 scopus 로고    scopus 로고
    • Hedging, Arbitrage, and Optimality with Superlinear Frictions
    • to appear
    • Guasoni, P., and M. Rásonyi (2014): Hedging, Arbitrage, and Optimality with Superlinear Frictions, Ann. Appl. Probab., to appear.
    • (2014) Ann. Appl. Probab
    • Guasoni, P.1    Rásonyi, M.2
  • 28
    • 84932142956 scopus 로고    scopus 로고
    • Dynamic Trading Volume
    • Guasoni, P., and M. Weber (2017): Dynamic Trading Volume, Math. Finance 27(2), 313–349.
    • (2017) Math. Finance , vol.27 , Issue.2 , pp. 313-349
    • Guasoni, P.1    Weber, M.2
  • 29
    • 0000714946 scopus 로고
    • Optimal Replication of Contingent Claims under Transaction Costs
    • Hodges, S., and A. Neuberger (1989): Optimal Replication of Contingent Claims under Transaction Costs, Rev. Futures Markets 8, 222–239.
    • (1989) Rev. Futures Markets , vol.8 , pp. 222-239
    • Hodges, S.1    Neuberger, A.2
  • 30
    • 21644448781 scopus 로고    scopus 로고
    • Optimal Liquidity Trading
    • Huberman, G., and W. Stanzl (2005): Optimal Liquidity Trading, Rev. Finance 9(2), 165–200.
    • (2005) Rev. Finance , vol.9 , Issue.2 , pp. 165-200
    • Huberman, G.1    Stanzl, W.2
  • 31
    • 84968483697 scopus 로고
    • A Simple, Direct Proof of Uniqueness for Solutions of the Hamilton-Jacobi Equations of Eikonal Type
    • Ishii, H. (1987): A Simple, Direct Proof of Uniqueness for Solutions of the Hamilton-Jacobi Equations of Eikonal Type, Proc. Amer. Math. Soc. 100(2), 247–251.
    • (1987) Proc. Amer. Math. Soc , vol.100 , Issue.2 , pp. 247-251
    • Ishii, H.1
  • 32
    • 24144451741 scopus 로고    scopus 로고
    • Asymptotic Analysis for Optimal Investment and Consumption with Transaction Costs
    • Janeček, K., and S. E. Shreve (2004): Asymptotic Analysis for Optimal Investment and Consumption with Transaction Costs, Finance Stoch. 8(2), 181–206.
    • (2004) Finance Stoch , vol.8 , Issue.2 , pp. 181-206
    • Janeček, K.1    Shreve, S.E.2
  • 35
    • 84941261430 scopus 로고    scopus 로고
    • Option Pricing and Hedging with Small Transaction Costs
    • Kallsen, J., and J. Muhle-Karbe (2015): Option Pricing and Hedging with Small Transaction Costs, Math. Finance 25(4), 702–723.
    • (2015) Math. Finance , vol.25 , Issue.4 , pp. 702-723
    • Kallsen, J.1    Muhle-Karbe, J.2
  • 36
    • 0030490222 scopus 로고    scopus 로고
    • On the Pricing of Contingent Claims under Constraints
    • Karatzas, I., and S. G. Kou (1996): On the Pricing of Contingent Claims under Constraints, Ann. Appl. Probab. 6(2), 321–369.
    • (1996) Ann. Appl. Probab , vol.6 , Issue.2 , pp. 321-369
    • Karatzas, I.1    Kou, S.G.2
  • 38
    • 0012273782 scopus 로고    scopus 로고
    • Portfolio Optimisation with Strictly Positive Transaction Costs and Impulse Control
    • Korn, R. (1998): Portfolio Optimisation with Strictly Positive Transaction Costs and Impulse Control, Finance Stoch. 2(2), 85–114.
    • (1998) Finance Stoch , vol.2 , Issue.2 , pp. 85-114
    • Korn, R.1
  • 39
    • 34548685604 scopus 로고    scopus 로고
    • Asymptotic Analysis of Utility-Based Hedging Strategies for Small Number of Contingent Claims
    • Kramkov, D., and M. Sirbu (2007): Asymptotic Analysis of Utility-Based Hedging Strategies for Small Number of Contingent Claims, Stoch. Process. Appl. 117(11), 1606–1620.
    • (2007) Stoch. Process. Appl , vol.117 , Issue.11 , pp. 1606-1620
    • Kramkov, D.1    Sirbu, M.2
  • 40
    • 0010153760 scopus 로고
    • Generalized Solutions of Hamilton-Jacobi Equations of Eikonal Type. I. Statement of the Problems; Existence, Uniqueness and Stability Theorems; Certain Properties of the Solutions
    • (3(11)),, 496
    • Kružkov, S. N. (1975): Generalized Solutions of Hamilton-Jacobi Equations of Eikonal Type. I. Statement of the Problems; Existence, Uniqueness and Stability Theorems; Certain Properties of the Solutions, Mat. Sb. (N.S.) 98(140)(3(11)), 450–493, 496.
    • (1975) Mat. Sb. (N.S.) , vol.98 , Issue.140 , pp. 450-493
    • Kružkov, S.N.1
  • 42
    • 20244384089 scopus 로고    scopus 로고
    • Master Curve for Price-Impact Function
    • Lillo, F., J. D. Farmer, and R. N. Mantegna (2003): Master Curve for Price-Impact Function, Nature 421, 129–130.
    • (2003) Nature , vol.421 , pp. 129-130
    • Lillo, F.1    Farmer, J.D.2    Mantegna, R.N.3
  • 44
    • 84872159809 scopus 로고    scopus 로고
    • Optimal Trading Strategy and Supply/Demand Dynamics
    • Obizhaeva, A. A., and J. Wang (2013): Optimal Trading Strategy and Supply/Demand Dynamics, J. Finan. Markets 16(1), 1–32.
    • (2013) J. Finan. Markets , vol.16 , Issue.1 , pp. 1-32
    • Obizhaeva, A.A.1    Wang, J.2
  • 48
    • 84885127900 scopus 로고    scopus 로고
    • Resilient Price Impact of Trading and the Cost of Illiquidity
    • Roch, A., and H. M. Soner (2013): Resilient Price Impact of Trading and the Cost of Illiquidity, Int. J. Theor. Appl. Finan. 16(6), 1350037.
    • (2013) Int. J. Theor. Appl. Finan , vol.16 , Issue.6 , pp. 1350037
    • Roch, A.1    Soner, H.M.2
  • 49
    • 79959883429 scopus 로고    scopus 로고
    • Why Is the Effect of Proportional Transaction Costs O(δ2/3)
    • ?, in, Providence, RI, American Mathematical Society
    • Rogers, L. C. G. (2004): Why Is the Effect of Proportional Transaction Costs O(δ2/3)?, in Mathematics of Finance, Providence, RI: American Mathematical Society, pp. 303–308.
    • (2004) Mathematics of Finance , pp. 303-308
    • Rogers, L.C.G.1
  • 50
    • 0035413558 scopus 로고    scopus 로고
    • Optimal Investment in Incomplete Markets When Wealth May Become Negative
    • Schachermayer, W. (2001): Optimal Investment in Incomplete Markets When Wealth May Become Negative, Ann. Appl. Probab. 11(3), 694–734.
    • (2001) Ann. Appl. Probab , vol.11 , Issue.3 , pp. 694-734
    • Schachermayer, W.1
  • 51
    • 67349091011 scopus 로고    scopus 로고
    • Risk Aversion and the Dynamics of Optimal Liquidation Strategies in Illiquid Markets
    • Schied, A., and T. Schöneborn (2009): Risk Aversion and the Dynamics of Optimal Liquidation Strategies in Illiquid Markets, Finance Stoch. 13(2), 181–204.
    • (2009) Finance Stoch , vol.13 , Issue.2 , pp. 181-204
    • Schied, A.1    Schöneborn, T.2
  • 52
    • 77958601368 scopus 로고    scopus 로고
    • Optimal Basket Liquidation for CARA Investors Is Deterministic
    • Schied, A., T. Schöneborn, and M. Tehranchi (2010): Optimal Basket Liquidation for CARA Investors Is Deterministic, Appl. Math. Finance 17(6), 471–489.
    • (2010) Appl. Math. Finance , vol.17 , Issue.6 , pp. 471-489
    • Schied, A.1    Schöneborn, T.2    Tehranchi, M.3
  • 54
    • 84888857323 scopus 로고    scopus 로고
    • Homogenization and Asymptotics for Small Transaction Costs
    • Soner, H. M., and N. Touzi (2013): Homogenization and Asymptotics for Small Transaction Costs, SIAM J. Control Optim. 51(4), 2893–2921.
    • (2013) SIAM J. Control Optim , vol.51 , Issue.4 , pp. 2893-2921
    • Soner, H.M.1    Touzi, N.2
  • 58
    • 0031497150 scopus 로고    scopus 로고
    • An Asymptotic Analysis of an Optimal Hedging Model for Option Pricing with Transaction Costs
    • Whalley, A. E., and P. Wilmott (1997): An Asymptotic Analysis of an Optimal Hedging Model for Option Pricing with Transaction Costs, Math. Finance 7(3), 307–324.
    • (1997) Math. Finance , vol.7 , Issue.3 , pp. 307-324
    • Whalley, A.E.1    Wilmott, P.2
  • 59
    • 0010592742 scopus 로고    scopus 로고
    • A Solution Approach to Valuation with Unhedgeable Risks
    • Zariphopoulou, T. (2001): A Solution Approach to Valuation with Unhedgeable Risks, Finance Stoch. 5(1), 61–82.
    • (2001) Finance Stoch , vol.5 , Issue.1 , pp. 61-82
    • Zariphopoulou, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.