Manuel Morales, Ph.D.
PublicationsOn the Time-value of Ruin for a Markov-additive Risk Process.
Computing the finite-time expected discounted penalty function for a family of Levy risk processes.
On the Price of Risk of the Underlying Markov Chain in a Regime-switching Exponential Levy Model.
Contingent Claim Pricing Using a Normal Inverse Gaussian Probability Distortion Operator.
Conference Presentations35th Conference on Stochastic Processes and their Applications. Oaxaca, Mexico (June 19-25, 2011)
15th International Congress on Insurance: Mathematics and Economics. University of Trieste, Trieste, Italy (June 14-17, 2011)
5th Brazilian Conference on Statistical Modelling in Insurance and Finance Maresias, Brazil (April 10-15, 2011)
ProjectsMITACS Finsurance Project
LÚvy Risk Processes
My StudentsMaciej Augustyniak
Zyed Ben Salah
Research at DMSInsurance and Finance
MITACS Seminar in Montreal
Research AbroadList of Univeristies
JournalsInsurance: Mathematics and Economics
North American Actuarial Journal
Scandinavian Actuarial Journal
Finance and Stochastics
Mathematical and Financial Economics
LinksISM Research Group in Finance and Insurance
Centre de Recherches MathÚmatiques
I am also interested in Option Pricing, particularly in jump models that use LÚvy processes with a jump component to describe stock price processes instead of the geometric Brownian Motion. Applications of Generalized Hyperbolic LÚvy motion and other pure jump processes in insurance and in finance are also among my interests.
More recently, I have have started to turn my attention to other interesting subjects such as:
Convex and Distortion Risk Measures
LÚvy Regime Switching Models
Position Dependent Random Maps in Finance
MITACS Finsurance Project
Recently, we observe the appearance in the market of new products that blend risk features from both finance and insurance. This has created a new hybrid class of products known as "finsurance" products. The valuation, hedging and risk analysis of such hybrid products demand novel and innovative tools combining expertise in finance, actuarial science, probability theory, differential equations and numerical methods. This project is focused on developing these analytical tools, and applying them to the problems confronting the insurance and finance sector generally.
LÚvy Risk Processes Project
Risk Theory traditionally studies ruin related quantities for risk reserves models. This is linked to the first-passage time problem which is well-understood for different classes of processes, in particular for LÚvy processes. This project focuses on studying traditionlly risk theory models from a the perspective offered by these new results in fluctuation theory for stochastic processes. There are different aspects and/or variations of this problem that are of the object of our interest such as: identifying LÚvy processes for which numerical computations can be carried out, studying ruin problems for regime switching models and non-homogeneous processes, generalizing existing results for a bivariate LÚvy risk model with two sources of risk and finally developping ruin-based risk measures for insurance applications.
Zyed Ben Salah
My research has been funded by: