2016/02/02 by Lingqi Gu, Gu, Lingqi, Yiqing Lin +3
Decision Sciences · Economics, Econometrics and Finance · #91B16 #91G10 #Auction Theory and Applications #Economic theories and models #FOS: Economics and business #FOS: Mathematics #Optimization and Control (math.OC) #Portfolio Management (q-fin.PM) #Probability (math.PR) #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.1602.01109
openalex publication_date 2016/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we consider a num 'eraire-based utility maximization problem\nunder constant proportional transaction costs and random endowment. Assuming\nthat the agent cannot short sell assets and is endowed with a strictly positive\ncontingent claim, a primal optimizer of this utility maximization problem\nexists. Moreover, we observe that the original market with transaction costs\ncan be replaced by a frictionless shadow market that yields the same\noptimality. On the other hand, we present an example to show that in some case\nwhen these constraints are relaxed, the existence of shadow prices is still\nwarranted.\n