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Scalar multivariate risk measures with a single eligible asset. (arXiv:1807.10694v1 [q-fin.RM])

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In this paper we present results on scalar risk measures in markets with transaction costs. Such risk measures are defined as the minimal capital requirements in the cash asset. First, some results are provided on the dual representation of such risk measures, with particular emphasis given on the space of dual variables as (equivalent) martingale measures and prices consistent with the market model.

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