Actuarial-Financial Mathematics Lab

University of the Aegean · Samos · Pythagoras

Research, Notes, Slides & Publications

The Actuarial-Financial Mathematics Lab supports undergraduate and postgraduate teaching and research in financial mathematics, stochastic processes, portfolio theory, derivative pricing, actuarial modelling, and computational methods.

The material below includes selected research papers, teaching notes, slides, and related publications connected with the scientific activities of the laboratory.

Slides and Additional Material

Selected slides and supplementary educational resources are available below.

Slides on Portfolio Construction

Open Slides (PDF)

Slides on Arbitrage

Open Arbitrage Slides (PDF)

Dynamic Trading Strategies

Open Financial Slides (PDF)

Forecasting Asset Prices

Open Financial Slides (PDF)

Books

Selected books related to the scientific and educational activities of the laboratory.

Cover of the book Calculus

Calculus

A selected mathematics reference book.

Open Book
Cover of the book Stochastic Analysis

Stochastic Analysis

A reference book on stochastic analysis and related mathematical methods.

Open Book
Cover of the book Linear Algebra

Linear Algebra

A selected textbook on linear algebra and its applications.

Open Book

Publications on ResearchGate

The laboratory's publications, preprints, books, slides, code material, and related research output are available on ResearchGate.

View Publications on ResearchGate

Stochastic Differential Equations

For the numerical solution of stochastic differential equations whose exact solutions satisfy qualitative properties such as positivity (as occurs, for example, in models for asset prices), we have proposed the so-called semi-discrete method. For further details, see Monte Carlo Methods and Applications , together with the references therein. For a recent comparison with other numerical methods in a stochastic model arising in biology, see Numerical Algorithms .

For additional information regarding current research directions, publications, and educational material, please contact the laboratory team.