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This interdisciplinary paper explains how mathematical techniques of stochastic optimal control can be applied to the recent subprime mortgage crisis. Why did the financial markets fail to anticipate the recent debt crisis, despite the large literature in mathematical finance concerning optimal...
Persistent link: https://www.econbiz.de/10003807893
that the investor knows the probability distribution of the real estate index. However, at the initial time, he has to … choose one deterministic optimal time to sell. The second one considers an investor who is perfectly informed about the … the realization of the random variable, the path is deterministic for this investor. Therefore, at the initial time, he …
Persistent link: https://www.econbiz.de/10014213817
explicit results in the existing literature are derived as special cases of the general theory. …
Persistent link: https://www.econbiz.de/10010281319
are integrated into one MSP formulation, and in a short computational time produce a solution, which takes into account …
Persistent link: https://www.econbiz.de/10013033671
We present efficient partial differential equation (PDE) methods for continuous time mean-variance portfolio allocation …
Persistent link: https://www.econbiz.de/10013084034
objective is to maximize for a fixed time horizon, the expected terminal utility of wealth. For the exponential utility function …
Persistent link: https://www.econbiz.de/10013066526
In this paper, we study a stochastic optimal control for max-min utility admitting volatility ambiguity. By standard assumptions, we establish the dynamic programming principle and the related Hamilton-Jacobi-Bellman (HJB) equation. Finally, we show that the value function is a viscosity...
Persistent link: https://www.econbiz.de/10013048206
-Jacobi-Bellman equation for multi-dimensional problems in stochastic control theory. The method is a combination of a WKB style asymptotic … dimensionality. Computer code implementation of the method using modest computational resources runs essentially in real time. We …
Persistent link: https://www.econbiz.de/10013052127
explicit results in the existing literature are derived as special cases of the general theory. -- Optimal control ; investment … theory ; filtering …
Persistent link: https://www.econbiz.de/10009487225
A problem of optimally purchasing electricity at a real-valued spot price (that is, with potentially negative cost) has been recently addressed in De Angelis, Ferrari and Moriarty (2015) [SIAM J. Control Optim. 53(3)]. This problem can be considered one of irreversible investment with a cost...
Persistent link: https://www.econbiz.de/10011517478