Displaying similar documents to “Existence, uniqueness and regularity for Kruzkov's solutions of the Burger-Carleman's system”

The d X ( t ) = X b ( X ) d t + X σ ( X ) d W equation and financial mathematics. II

Josef Štěpán, Petr Dostál (2003)

Kybernetika

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This paper continues the research started in [J. Štěpán and P. Dostál: The d X ( t ) = X b ( X ) d t + X σ ( X ) d W equation and financial mathematics I. Kybernetika 39 (2003)]. Considering a stock price X ( t ) born by the above semilinear SDE with σ ( x , t ) = σ ˜ ( x ( t ) ) , we suggest two methods how to compute the price of a general option g ( X ( T ) ) . The first, a more universal one, is based on a Monte Carlo procedure while the second one provides explicit formulas. We in this case need an information on the two dimensional distributions of ( Y ( s ) , τ ( s ) ) for s 0 , where Y ...

Dirichlet problem for a nonlinear conservation law.

Guy Vallet (2000)

Revista Matemática Complutense

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In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.

Modelling stock returns with AR-GARCH processes.

Elzbieta Ferenstein, Miroslaw Gasowski (2004)

SORT

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Financial returns are often modelled as autoregressive time series with random disturbances having conditional heteroscedastic variances, especially with GARCH type processes. GARCH processes have been intensely studied in financial and econometric literature as risk models of many financial time series. Analyzing two data sets of stock prices we try to fit AR(1) processes with GARCH or EGARCH errors to the log returns. Moreover, hyperbolic or generalized error distributions occur to...

Local Principal Components Analysis.

Tomàs. Aluja Banet, Ramón Nonell Torrent (1991)

Qüestiió

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Principal Components Analysis deals mainly with the analysis of large data sets with multivariate structure in an observational context for exploraty purposes. The factorial planes produced will show the main oppositions between variables and individuals. However, we may be interested in going further by controlling the effect of some latent or third variable which expresses some well-defined phenomenon. We go through this by means of a graph among individuals, following the same idea...