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Showing 1 to 4 of 4 for “"Martingale approach"”.
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The Martingale Approach to Financial Mathematics
… on establishing meaningful connections between martingale theory, stochastic calculus, and measure-theoretic probability. We first consider a simple binomial model in discrete time, and assume the impossibility of earning a riskless profit, known as arbitrage. Under this no-arbitrage assumption …
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Cagan Type Rational Expectations Model on Time Scales with Their Applications to Economics
… information and past experiences. The first approach to the idea of rational expectations was given approximately fifty years ago by John F. Muth. Many models in economics have been studied using the rational expectations idea. The most familiar one among them is the rational expectations …
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Sampling-based algorithms for stochastic optimal control
… problem. For the latter, we present a martingale approach that diffuses a risk constraint into a martingale to construct time-consistent control policies. The martingale stands for the level of risk tolerance that is contingent on available information over time. By augmenting the …
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Selección óptima de portafolio para una compañía aseguradora
En este documento se estudia el problema en tiempo continuo de selección óptima de portafolio para una compañía aseguradora que respalda las reclamaciones con los beneficios de las venta de contratos de seguros y los ingresos resultantes de invertir en el mercado financiero. Usando el método de …