87,171 research outputs found

    La sfida della cogenitorialità

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    L'Autrice ha curato - insieme ad Ortu e Simonelli- la Prefazione all'edizione italian

    Numeraires, equivalent martingale measures and completeness in finite dimensional securities markets

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    A numeraire is a portfolio that, when securities, prices and dividends are expressed in its units, admits an equivalent martingale measure transforming any gain process into a martingale. We show that the set of equivalent martingale measures of a numeraire is one-to-one with a subset of Arrow-Debreu state prices, which becomes the whole set if and only if the numeraire is self-financing. Hence our result extends those (e.g. Harrison and Kreps (Journal of Economic Theory, 1979, 20, 381-408) Dothan (Prices in Financial Markets, Oxford Univ. Press, New York, 1990)) stated for specific self-financing numeraires. We also identify markets admitting self-financing numeraires, and characterize completeness, in terms of equivalent martingale measures, without requiring that specific securities be traded

    Generic Existence and Robust Non Existence of Numeraires in Finite Dimensional Securities Markets

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    We supply necessary and sufficient conditions for the existence of numeraires. We also supply a characterization of robust non-existence of numeraires

    Fixed Income Linked Life Insurance Policies with Minimum Guarantees: Pricing Models and Numerical Results

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    We propose a pricing model for life insurance policies in which the benfits are linked to a portfolio of interest rate sensitive asset
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