2016/06/02 by Beatrice Acciaio, Martin Larsson, Acciaio, Beatrice +3
Economics, Econometrics and Finance · #Economic theories and models #FOS: Economics and business #Financial Markets and Investment Strategies #Mathematical Finance (q-fin.MF) #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.1606.00631
openalex publication_date 2016/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Semi-static trading strategies make frequent appearances in mathematical\nfinance, where dynamic trading in a liquid asset is combined with static\nbuy-and-hold positions in options on that asset. We show that the space of\noutcomes of such strategies can have very poor closure properties when all\nEuropean options for a fixed date T are available for static trading. This\ncauses problems for optimal investment, and stands in sharp contrast to the\npurely dynamic case classically considered in mathematical finance.\n