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  • 2000-2004  (4)
  • 1960-1964
  • 1840-1849
  • 1800-1809
  • 2001  (4)
  • 1840
  • PACS. 05.45.Tp Time series analysis – 02.50.Ey Stochastic processes  (2)
  • PACS. 31.70.Hq Time-dependent phenomena: excitation and relaxation processes, and reaction rates – 33.80.Wz Other multiphoton processes  (2)
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Materialart
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  • 2000-2004  (4)
  • 1960-1964
  • 1840-1849
  • 1800-1809
Jahr
  • 2001  (4)
  • 1840
Schlagwörter
  • 1
    Digitale Medien
    Digitale Medien
    Beliefs and stochastic modelling of interest rate scenario risk (2001)
    Springer
    The European physical journal 20 (2001), S. 511-515 
    Details
    ISSN: 1434-6036
    Schlagwort(e): PACS. 05.45.Tp Time series analysis – 02.50.Ey Stochastic processes
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract: We present a framework that allows for a systematic assessment of risk given a specific model and belief on the market. Within this framework the time evolution of risk is modeled in a twofold way. On the one hand, risk is modeled by the time discrete and nonlinear garch(1,1) process, which allows for a (time-)local understanding of its level, together with a short term forecast. On the other hand, via a diffusion approximation, the time evolution of the probability density of risk is modeled by a Fokker-Planck equation. Then, as a final step, using Bayes theorem, beliefs are conditioned on the stationary probability density function as obtained from the Fokker-Planck equation. We believe this to be a highly rigorous framework to integrate subjective judgments of future market behavior and underlying models. In order to demonstrate the approach, we apply it to risk assessment of empirical interest rate scenario methodologies, i.e. the application of Principal Component Analysis to the the dynamics of bonds.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/PL00011107
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  • 2
    Digitale Medien
    Digitale Medien
    Extracting factors for interest rate scenarios (2001)
    Springer
    The European physical journal 20 (2001), S. 517-522 
    Details
    ISSN: 1434-6036
    Schlagwort(e): PACS. 05.45.Tp Time series analysis – 02.50.Ey Stochastic processes
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract: Factor based interest rate models are widely used for risk managing purposes, for option pricing and for identifying and capturing yield curve anomalies. The movements of a term structure of interest rates are commonly assumed to be driven by a small number of orthogonal factors such as SHIFT, TWIST and BUTTERFLY (BOW). These factors are usually obtained by a Principal Component Analysis (PCA) of historical bond prices (interest rates). Although PCA diagonalizes the covariance matrix of either the interest rates or the interest rate changes, it does not use both covariance matrices simultaneously. Furthermore higher linear and nonlinear correlations are neglected. These correlations as well as the mean reverting properties of the interest rates become crucial, if one is interested in a longer time horizon (infrequent hedging or trading). We will show that Independent Component Analysis (ICA) is a more appropriate tool than PCA, since ICA uses the covariance matrix of the interest rates as well as the covariance matrix of the interest rate changes simultaneously. Additionally higher linear and nonlinear correlations may be easily incorporated. The resulting factors are uncorrelated for various time delays, approximately independent but nonorthogonal. This is in contrast to the factors obtained from the PCA, which are orthogonal and uncorrelated for identical times only. Although factors from the ICA are nonorthogonal, it is sufficient to consider only a few factors in order to explain most of the variation in the original data. Finally we will present examples that ICA based hedges outperforms PCA based hedges specifically if the portfolio is sensitive to structural changes of the yield curve.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    Selective preparation of ground state wave-packets: a theoretical analysis of femtosecond pump-dump-probe experiments on the potassium dimer (2001)
    Springer
    The European physical journal 14 (2001), S. 167-172 
    Details
    ISSN: 1434-6079
    Schlagwort(e): PACS. 31.70.Hq Time-dependent phenomena: excitation and relaxation processes, and reaction rates – 33.80.Wz Other multiphoton processes
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract: We present simulations on pump-dump-probe experiments performed on the potassium dimer. The interaction of two time-delayed laser pulses prepares vibrational wave packets in the electronic ground state. The quantum calculations reveal to what extent it is possible to prepare a ground state superposition of states with high versus low vibrational quantum numbers by changing the pump-dump delay time. It is shown that transient signals may exhibit interference effects which are due to characteristics of ground state wave-packets composed of two components showing different vibrational dynamics. In this way the signals are able to yield information about vibrational overtone motion.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/s100530170214
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  • 4
    Digitale Medien
    Digitale Medien
    Femtosecond pump-probe fluorescence signals from classical trajectories: comparison with wave-packet calculations (2001)
    Springer
    The European physical journal 15 (2001), S. 413-422 
    Details
    ISSN: 1434-6079
    Schlagwort(e): PACS. 31.70.Hq Time-dependent phenomena: excitation and relaxation processes, and reaction rates – 33.80.Wz Other multiphoton processes
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract: A classical approach to simulate femtosecond pump-probe experiments is presented and compared to the quantum mechanical treatment. We restrict the study to gas-phase systems using the I2 molecule as a numerical example. Thus, no relaxation processes are included. This allows for a direct comparison between purely quantum mechanical results and those obtained from classical trajectory calculations. The classical theory is derived from the phase-space representation of quantum mechanics. Various approximate quantum mechanical treatments are compared to their classical counterparts. Thereby it is demonstrated that the representation of the radial density as prepared in the pump-process is most crucial to obtain reliable signals within the classical approach.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/s100530170158
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