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Publication Name: Mathematical Finance

Brief description: An International Journal of Mathematics, Statistics and Financial Economics.

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Joined: February 14th, 2012

Activity

Mathematical Finance wrote a new blog post titled Optimal cash holdings under heterogeneous beliefs

Abstract This paper explores a one‐period model for a firm that finances its operations through debt provided by heterogeneous creditors. Creditors differ in their beliefs about the firm's investment outcomes. We show the existence of Stackelberg equilibria in which the firm holds cash reserves in order to provide incentives for pessimistic creditors to invest in the firm. We find interest rates and cash holdings to be complementary tools for increasing debt capacity. In markets with a high concentration of capital across a small interval of pessimistic creditors or by a few large creditors,...
(10 days ago)

Mathematical Finance wrote a new blog post titled A note on the long rate in factor models of the term structure

Abstract In this paper, we consider factor models of the term structure based on a Brownian filtration. We show that the existence of a nondeterministic long rate in a factor model of the term structure implies, as a consequence of the Dybvig–Ingersoll–Ross theorem, that the model has an equivalent representation in which one of the state variables is nondecreasing. For two‐dimensional factor models, we prove moreover that if the long rate is nondeterministic, the yield curve flattens out, and the factor process is asymptotically nondeterministic, then the term structure is unbounded....
(10 days ago)

Mathematical Finance wrote a new blog post titled Conic martingales from stochastic integrals

Abstract In this paper, we introduce the concept of conic martingales. This class refers to stochastic processes that have the martingale property but that evolve within given (possibly time‐dependent) boundaries. We first review some results about the martingale property of solution to driftless stochastic differential equations. We then provide a simple way to construct and handle such processes. Specific attention is paid to martingales in [0, 1]. One of these martingales proves to be analytically tractable. It is shown that up to shifting and rescaling constants, it is the only martingale...
(10 days ago)

About:

Overview

Mathematical Finance is a high-quality journal which brings together work on the mathematical aspects of finance theory from such diverse fields as finance, economics, mathematics, and statistics. An essential resource for academic finance researchers and practitioners alike, the journal publishes clear and concise articles which present the latest theoretical developments in an accessible way. Modern finance is becoming increasingly technical, requiring the use of sophisticated mathematical tools in both research and practice. Mathematical Finance offers a forum for the publication of articles which employ these techniques, as well as providing a much-needed bridge between mathematical scientists and financial economists.

Aims and Scope

Mathematical Finance brings together work on the mathematical aspects of finance theory from such diverse fields as finance, economics, mathematics, and statistics. An essential resource for academic finance researchers and practitioners alike, the journal publishes clear and concise articles which present the latest theoretical developments. Modern finance is becoming increasingly technical, requiring the use of sophisticated mathematical tools in both research and practice. Mathematical Finance offers a forum for the publication of articles which employ these techniques, as well as providing a much-needed bridge between mathematical scientists and financial economists. Mathematical Finance has been ranked 3rd in the category of Social Sciences/Mathematical Methods, and 6th in the category of Business and Finance journals according to the latest ISI rankings.