This paper provides a large deviation principle for Non-Markovian, Brownian motion driven stochastic di↵erential equations with random coe cients. Similar to Gao & Liu [19], this extends the corresponding results collected in Freidlin & Wentzell [18]. However, we use a di↵erent line of argument, adapting the PDE method of Fleming [14] and Evans & Ishii [10] to the pathdependent case, by using b...

We study the temporal evolution of the market efficiency in the stock markets using the complexity, entropy density, standard deviation, autocorrelation function, and probability distribution of the log return for Standard and Poor’s 500 (S&P 500), Nikkei stock average index, and Korean composition stock price index (KOSPI). Based on a microscopic spin model, we also find that these statistical...

We explore the link between an interest rate rule for monetary policy and the behavior of the real exchange rate. The interest rate rule, in conjunction with some standard assumptions, implies that the deviation of the real exchange rate from its steady state depends on the present value of inflation and output gap differentials. An initial look at German data yields some support for the model....

This paper studies large deviation properties of the generalized method of moments and generalized empirical likelihood estimators for moment restriction models. We consider two cases for the data generating probability measure: the model assumption and local deviations from the model assumption. For both cases, we derive conditions where these estimators have exponentially small error probabil...

We consider a financial market model driven by an Rn-valued Gaussian process with stationary increments which is different from Brownian motion. This driving noise process consists of n independent components, and each component has memory described by two parameters. For this market model, we explicitly solve optimal investment problems. These include (i) Merton’s portfolio optimization proble...

With the current demand for Brazilian sugarcane, the importance to investors of a faster implementation of agro-industrial complexes has been increasing. Estimates suggest that a 4-year implementation may enhance financial value creation by 10% when compared to the usual 6-year implementation. Given a desired production and a target implementation horizon, the quadratic programming model presen...

Since the seismic behavior of the earth’s energy (which follows from the power law distribution) can be similarly seen in the energy realized by the stock markets, in this paper we consider a statistical study for comparing the financial crises and the earthquakes. For this end, the TP statistic, proposed by Pisarenko and et al. (2004), is employed for estimating the critical point or the lower...

Traditional theories of delinquency causation generally fail to consider delinquency in the context of norms and age-role transitions peculiar to adolescence. Hence, in this study, an age-based theory of delinquency causation is developed, which assumes the importance of norms and roles specific to adolescence. This theory draws upon the assumption that socialization is recurrent, in contrast t...