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Value-at-risk (VaR) and conditional value-at-risk (CVaR) are popular risk measures from academic, industrial and regulatory perspectives. The problem of minimizing CVaR is theoretically known to be of a Neyman-Pearson type binary solution. We add a constraint on expected return to investigate...
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We introduce a notion of volatility uncertainty in discrete time and define the corresponding analogue of Pengs G-expectation. In the continuous-time limit, the resulting sublinear expectation converges weakly to the G-expectation. This can be seen as a Donsker-type result for the G-Brownian...
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The rapid development of artificial intelligence methods contributes to their wide applications for forecasting various financial risks in recent years. This study introduces a novel explainable case-based reasoning (CBR) approach without a requirement of rich expertise in financial risk....
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The mean-variance portfolio optimization theory of Markowitz assumes that stock returns are distributed according to …
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A financial model is a model designed to represent in mathematical terms the relationships among the variables of a financial problem so that it can be used to make projections and/or answer ‘what if' questions. In particular, financial modeling can be combined with optimization modeling to...
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prominent role in Cumulative Prospect Theory (CPT), and several other non-convex risk measures developed more recently. Central …
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