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A fundamental assumption in most of economic modeling is that people maximize their utility subject to a budget constraint. This, as well as many other economic problems, mathematically translate into problems of maximization with constraints. A powerful and widely used method to tackle some of...
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In this paper, we investigate trading strategies based on exponential moving averages (ExpMAs) of an underlying risky asset. We study both logarithmic utility maximization and long-term growth rate maximization problems and find closed-form solutions when the drift of the underlying is modeled...
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Calculation of an optimal tariff is a principal challenge for pricing actuaries. In this contribution we are concerned with the renewal insurance business discussing various mathematical aspects of calculation of an optimal renewal tariff. Our motivation comes from two important actuarial tasks,...
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A financial portfolio typically pays dividend based on its value. We show that there is a unique portfolio that pays the maximum dividend rate while remaining solvent, under appropriate assumptions. We also give a characterization of both the portfolio and the optimal dividend rate
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article is devoted to Kant's theory of the construction of mathematical concepts and his understanding (substantiation) of … mathematics as cognition "through construction of concepts in intuition" [KrV, B 752] (see also: "to construct a concept means to … exhibit a priori the intuition corresponding to it"; [KrV, В 741]). Unlike the natural sciences the mathematics is an abstract …
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