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Analytical Optimal Control Theory as Applied to Stochastic and Non-Stochastic Economics.
The European Monetary Union raises new and interesting questions about the coordination of monetary and fiscal policy. In this lecture, I discuss some of these questions and the answers that a new cla...
In this work, we have presented a simple analytical approximation scheme for the generic non-linear FBSDEs. By treating the interested system as the linear decoupled FBSDE perturbed with non-linear ...
Considering the valuation of forest stands based on revenue from wood sales, concession policy (such as carbon sub- sidies) and associated costs, the paper focuses on the stochastic control model to s...
Semi-elliptic stochastic differential equations (SDEs) are common models among practitioners. However, value functions and sensitivities of such models are described by degenerate parabolic partial d...
Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfol...
Insurance companies typically employ a claims investigation unit to investigate fraudulent activities. The investigation unit gathers supporting information to deny claims that are fraudulent, or to...
High precision analytical approximation is proposed for variance-covariance based risk allocation in a portfolio of risky assets. A general case of a single-period multi-factor Merton-type model with ...
Random matrix theory is used to assess the significance of weak correlations and is well established for Gaussian statistics. However, many complex systems, with stock markets as a prominent example, ...

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