applications of both discrete time theory and continuous time mathematics, and is extensive in scope. Distribution theory … be found in this book, as well as the theory of Markov Chains and appropriate applications in credit modeling. Measure …-theoretic probability, moments, characteristic functions, inequalities, and central limit theorems are examined. The theory of risk aversion …

of utility and risk. This is a rather general pattern. The modern portfolio theory of Markowitz (1959) and the capital … utility. As a result, the growth optimal portfolio theory Lintner (1965) and the leverage space portfolio theory Vince (2009 …

Geometric Arbitrage Theory reformulates a generic asset model possibly allowing for arbitrage by packaging all assets …

his lecture notes summarizes standard machinery of an advanced course on Stochastic Portfolio Theory, presents … portfolios controlled behaviour. The Stochastic Portfolio theory has been applied to analysis and optimization of portfolio …