Mathematical Finance's profile

This paper develops a formula for a transform of a vector point process with totally inaccessible arrivals. The transform is expressed in terms of a Laplace transform under an equivalent probability measure of the point process compensator. The Laplace transform of the compensator can be calculated explicitly for a wide range of model specifications, because it is analogous to the value of a simple security. The transform formula extends the computational tractability offered by extant security pricing models to a point process and its applications, which include valuation and risk management...

(42 days ago)

Mathematical Finance wrote a new blog post titled NONCONVEXITY OF THE OPTIMAL EXERCISE BOUNDARY FOR AN AMERICAN PUT OPTION ON A DIVIDEND‐PAYING ASSET

We prove that when the dividend rate of the underlying asset following a geometric Brownian motion is slightly larger than the risk‐free interest rate, the optimal exercise boundary of the American put option is not convex.

(42 days ago)

Mathematical Finance wrote a new blog post titled PRICING CHAINED OPTIONS WITH CURVED BARRIERS

This paper studies barrier options which are chained together, each with payoff contingent on curved barriers. When the underlying asset price hits a primary curved barrier, a secondary barrier option is given to a primary barrier option holder. Then if the asset price hits another curved barrier, a third barrier option is given, and so on. We provide explicit price formulas for these options when two or more barrier options with exponential barriers are chained together. We then extend the results to the options with general curved barriers.

(42 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.

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