2006/07/30 by Jianming Xia, Xia, Jianming
Economics, Econometrics and Finance · Mathematics · #60H05 #91B28 #Computational Finance (q-fin.CP) #FOS: Economics and business #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR) #math.OC #math.PR #msc:60H05 #msc:91B28 #q-fin.CP
paper · pdf · doi:10.48550/arxiv.math/0607775
22pages
arxiv created 2006/07/30 · arxiv updated 2009/12/01
The results on the mean-variance hedging problem in Gouriéroux, Laurent and Pham (1998), Rheinländer and Schweizer (1997) and Arai (2005) are extended to discontinuous semimartingale models. When the numéraire method is used, we only assume the Radon-Nikodym derivative of the variance-optimal signed martingale measure (VSMM) is non-zero almost surely (but may be strictly negative). When discussing the relation between the solutions and the Galtchouk-Kunita-Watanabe decompositions under the VSMM, we only assume the VSMM is equivalent to the reference probability.