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This paper proposes a moment-matching method for approximating vector autoregressions by finite-state Markov chains. The Markov chain is constructed by targeting the conditional moments of the underlying continuous process. The proposed method is more robust to the number of discrete values and...
Persistent link: https://www.econbiz.de/10010126857
Discrete-time stochastic games with a finite number of states have been widely applied to study the strategic interactions among forward-looking players in dynamic environments. These games suffer from a “curse of dimensionality” when the cost of computing players’ expectations over all...
Persistent link: https://www.econbiz.de/10011756461
Approximating stochastic processes by finite-state Markov chains is useful for reducing computational complexity when solving dynamic economic models. We provide a new method for accurately discretizing general Markov processes by matching low order moments of the conditional distributions using...
Persistent link: https://www.econbiz.de/10011801601
According to IFRS 9, an Entity shall assess - by performing a quantitative assessment - the relevance of the modification of the time value of money element, i.e. the modification of the interest that can be observed, e.g. in all the instruments whose underlying interest rate tenors are...
Persistent link: https://www.econbiz.de/10012946977
We present a stochastic simulation model for estimating forward-looking corporate probability of default and loss given default. We formulate the model in a discrete time frame, apply capital-budgeting techniques to define the relationships that identify the default condition, and solve the...
Persistent link: https://www.econbiz.de/10013023044
Markov chain Monte Carlo (MCMC) methods have an important role in solving high dimensionality stochastic problems characterized by computational complexity. Given their critical importance, there is need for network and security risk management research to relate the MCMC quantitative...
Persistent link: https://www.econbiz.de/10013029835
We present a stochastic simulation forecasting model to stress-test banks' capital adequacy and to estimate probability of infringement of regulatory capital ratios and default probability. The stochastic methodology proposed is based on a simplified reduced model that provides a manageable...
Persistent link: https://www.econbiz.de/10013034691
We describe a Markov chain Monte Carlo method to approximately simulate high dimensional Gaussian vectors whose covariance matrix is easy to compute. The standard Monte Carlo method is based on the Cholesky decomposition, which is performed in cubic time and quadratic storage cost in the...
Persistent link: https://www.econbiz.de/10012987054
In this paper we consider the object oriented implementation of numerical algorithms where arithmetic operators (add, mult, exp) operate on objects with more complex structure (compared to floating point numbers). Examples are objects representing vectors instead of scalars, random variables,...
Persistent link: https://www.econbiz.de/10012911558
The proliferation of algorithmic high-frequency trading in financial markets has also led to an increase in new types of fraudulent activity. Since the flash-crash of 2010 first brought it to popular prominence, layering or spoofing fraud has become a major concern for financial regulators...
Persistent link: https://www.econbiz.de/10012891797