VWAP Execution and Guaranteed VWAP

If optimal liquidation using VWAP strategies has been considered in the literature, it has never been considered in the presence of permanent market impact and only rarely with execution costs. Moreover, only VWAP strategies have been studied and no pricing of guaranteed VWAP contract is provided. In this article, we develop a model to price guaranteed VWAP contracts in the most general framework for market impact. Numerical applications are also provided.

[1]  E. Gobet,et al.  A regression-based Monte Carlo method to solve backward stochastic differential equations , 2005, math/0508491.

[2]  P. Cannarsa,et al.  Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control , 2004 .

[3]  N. Touzi,et al.  On the Robust superhedging of measurable claims , 2013, 1302.1850.

[4]  R. Rockafellar,et al.  Generalized Hamiltonian equations for convex problems of Lagrange. , 1970 .

[5]  R. Carmona.  Indifference Pricing: Theory and Applications , 2008 .

[6]  Charles-Albert Lehalle,et al.  Market Microstructure in Practice , 2013 .

[7]  Optimal VWAP Trading Strategy and Relative Volume , 2007 .

[8]  Olivier Gu 'eant.  Execution and block trade pricing with optimal constant rate of participation , 2013 .

[9]  Bruno Bouchard,et al.  Weak Dynamic Programming Principle for Viscosity Solutions , 2011, SIAM J. Control. Optim..

[10]  H. Waelbroeck,et al.  Optimal Execution of Portfolio Transactions with Short‐Term Alpha , 2013 .

[11]  Olivier Gu 'eant.  Permanent market impact can be nonlinear , 2014 .

[12]  Tianhui Michael Li,et al.  Dynamic Programming and Trade Execution , 2013 .

[13]  Serge Darolles,et al.  Reducing the risk of VWAP orders execution - A new approach to modeling intra-day volume , 2012 .

[14]  Mean Variance Optimal VWAP Trading , 2012 .

[15]  M. Schweizer.  Approximation pricing and the variance-optimal martingale measure , 1996 .

[16]  W. Fleming,et al.  Controlled Markov processes and viscosity solutions , 1992 .

[17]  Hizuru Konishi,et al.  Optimal slice of a VWAP trade , 2002 .

[18]  C. Frei,et al.  OPTIMAL EXECUTION OF A VWAP ORDER: A STOCHASTIC CONTROL APPROACH , 2015 .

[19]  Bruno Bouchard,et al.  Generalized stochastic target problems for pricing and partial hedging under loss constraints—application in optimal book liquidation , 2013, Finance Stochastics.

[20]  M. Humphery‐Jenner.  Optimal VWAP Trading Under Noisy Conditions , 2011 .

[21]  Serge Darolles,et al.  Improving VWAP. Strategies: A Dynamical Volume Approach , 2006 .

[22]  Elena Barberà,et al.  eLC RESEARCH PAPER SERIES , 2013 .

[23]  R. Rockafellar,et al.  Conjugate convex functions in optimal control and the calculus of variations , 1970 .

[24]  Adrian Wranik.  A Trading System for Flexible VWAP Executions as a Design Artifact , 2009, PACIS.

[25]  Olivier Guéant.  Permanent market impact can be nonlinear , 2013, 1305.0413.

[26]  Relative volume as a doubly stochastic binomial point process , 2007 .

[27]  Olivier Gu 'eant.  Optimal execution and block trade pricing: a general framework , 2014 .

[28]  Olivier Guéant,et al.  Optimal Execution and Block Trade Pricing: A General Framework , 2012, 1210.6372.

[29]  Yishay Mansour,et al.  Competitive algorithms for VWAP and limit order trading , 2004, EC '04.

[30]  Alexander Schied,et al.  Optimal Basket Liquidation for CARA Investors is Deterministic , 2010 .