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Radner equilibrium in incomplete Levy models

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arxiv 1507.02974 v2 pith:NIJ6XWIH submitted 2015-07-10 q-fin.MF

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keywords equilibriuminvestorsincomelevymodelsratestockapplication
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We construct continuous-time equilibrium models based on a finite number of exponential utility investors. The investors' income rates as well as the stock's dividend rate are governed by discontinuous Levy processes. Our main result provides the equilibrium (i.e., bond and stock price dynamics) in closed-form. As an application, we show that the equilibrium Sharpe ratio can be increased and the equilibrium interest rate can be decreased (simultaneously) when the investors' income streams cannot be traded.

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  1. Infinite collisions of simple random walks on random recursive trees generated by Bernoulli sequences

    math.PR 2026-07 conditional novelty 5.5 of 10

    Random recursive trees generated by Bernoulli attachment almost surely have exactly one topological end and the infinite collision property for two independent simple random walks.

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