The scaling limit of superreplication prices with small transaction costs in the multivariate case
نویسندگان
چکیده
Kusuoka [Limit Theorem on Option Replication Cost with Transaction Costs, Ann. Appl. Probab. 5, 198–221, (1995).] showed how to obtain non-trivial scaling limits of superreplication prices in discrete-time models of a single risky asset which is traded at properly scaled proportional transaction costs. This article extends the result to a multi-variate setup where the investor can trade in several risky assets. The G-expectation describing the limiting price involves models with a volatility range around the frictionless scaling limit that depends not only on the transaction costs coefficients but also on the chosen complete discrete-time reference model.
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ورودعنوان ژورنال:
- Finance and Stochastics
دوره 21 شماره
صفحات -
تاریخ انتشار 2017