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    Wyświetlanie 1-8 z 8
    Tytuł:
    Two factors utility approach
    Autorzy:
    Kulikowski, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/206747.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optymalizacja
    expected return
    investment allocation
    optimum investment strategies
    portfolio optimization
    portfolio variance
    risk aversion
    utility function
    worse case return
    Opis:
    This paper deals with optimization of portfolios composed of securities (equities). The drawbacks of existing methodologies, based on a single factor utility function, are indicated. The two-factor utility function introduced takes into account the expected excess return and expected worst case return (both in monetary units). Assuming that utility is "risk averse" and "constant returns to scale", a theorem on existence of optimum strategy of investments is proven. The optimum strategy is derived in an explicit form. A numerical example is also given.
    Źródło:
    Control and Cybernetics; 1998, 27, 3; 417-428
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Portfolio optimization - two rules approach
    Autorzy:
    Kulikowski, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/206858.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optymalizacja
    optymalizacja portfela
    expected return
    investment allocation
    optimum investment strategies
    portfolio optimization
    portfolio variance
    risk aversion
    utility function
    worse case return
    Opis:
    The new approach to the portfolio optimization, based on the concept of two-factor utility function, is proposed. The first factor describes the expected average profit, while the second - the worse case profit. Then, two rules enabling one to compose an optimum portfolio are formulated. The first rule determines the level of acceptance for all assets with given risk/return ratio. The second rule enables one to allocate the investment fund among all the accepted assets. The methodology proposed does not require to specify the individual utility function in an explicit form. It can be used to optimize portfolios composed of equities as well as bond and other securities, using a passive or - active management strategy.
    Źródło:
    Control and Cybernetics; 1998, 27, 3; 429-446
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Multiobjective duality for the Markowitz portfolio optimization problem
    Autorzy:
    Wanka, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/206011.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    dualność
    optymalizacja
    duality
    expected return
    investment
    Markowitz model
    optimality conditions
    portfolio optimization
    Opis:
    The classical Markowitz approach to portfolio selection leads to a biobjective optimization problem where the objectives are the expected return and the variance of a portfolio. In this paper a biobjective dual optimization problem to the Markowitz portfolio optimization problem is introduced and analyzed. For the Markowitz problem and its dual, weak and strong vector duality assertions are derived. The optimality conditions are also verified.
    Źródło:
    Control and Cybernetics; 1999, 28, 4; 691-702
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A recursive procedure for selecting optimal portfolio according to the MAD model
    Autorzy:
    Michałowski, W.
    Ogryczak, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/205763.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optymalizacja
    programowanie liniowe
    downside risk aversion
    investment
    linear programming
    portfolio optimization
    quadratic programming
    risk management
    Opis:
    The mathematical model of portfolio optimization is usually represented as a bicriteria optimization problem where a reasonable trade-off between expected rate of return and risk is sought. Im a classical Markowitz model the risk is measured by a variance, thus resulting in a quadratic programming model. As an alternative, the MAD model was proposed where risk is measured by (mean) absolute deviation instead of a variance. The MAD model is computationally attractive, since it is transformed into an easy to solve linear programming program. In this paper we poesent a recursive procedure which allows to identify optimal portfolio of the MAD model depending on investor's downside risk aversion.
    Źródło:
    Control and Cybernetics; 1999, 28, 4; 725-738
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerical simulations of a portfolio selection model with information cost
    Autorzy:
    Banek, T.
    Kowalik, P.
    Kozłowski, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/205773.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optymalizacja
    programowanie stochastyczne
    symulacja numeryczna
    covariance matrices
    investment
    numerical simulations
    portfolio
    purchase of information
    Warsaw Stock Exchange
    Opis:
    Results of numerical simulations of a portfolio selection model with information cost are presented. Simulations are based on the real data from the Warsaw Stock Exchange. The results show that buying the information according to the presented model may lead to an essential reduction of investment risk depending on the required level of return. If the return level is not too high, reduction of risk really takes place.
    Źródło:
    Control and Cybernetics; 2000, 29, 2; 617-622
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Application of modern portfolio theory to the Russian state bond market
    Autorzy:
    Pervozvanskij, A.
    Barinov, V.
    Kozlova, O.
    Powiązania:
    https://bibliotekanauki.pl/articles/206658.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optymalizacja
    teoria decyzji
    forecasting
    forecasting errors
    forecasting theory
    investment
    portfolio optimization
    Russian state bond market
    statistical indices
    time series
    Opis:
    The behaviour of the Russian state bond market is analyzed. Attention is mainly paid to short-term fluctuations and efficiency of short-term investments. Analysis of return time series has shown that there exists a significant autocorrelation, and that distribution of random fluctuations is non-Gaussian. It predetermines a choice of forecasting schemes. The most efficient ones appear to be non-linear. The efficiency was checked not only by the traditional statistical indices by direct numerical experiments where various types of predictors were used as basic elements of decision rules. The decision algorithms have included the solution to the modified optimal portfolio problem where the forecasts were used as expected returns and the covariance matrix was estimated via forecasting errors.
    Źródło:
    Control and Cybernetics; 1999, 28, 4; 799-810
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dynamic asset allocation under uncertainty for pension fund management
    Autorzy:
    Pflug, G.
    Świętanowski, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/205561.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    model finansowy
    optymalizacja stochastyczna
    podejmowanie decyzji
    procesy Markowa
    asset liability management
    financial modeling
    investment
    pension fund management
    portfolio
    risk management
    stochastic dynamic optimization
    Opis:
    Decision making in managing the asset and liability structure of a pension fund can be supported by stochastic dynamic optimization. We discuss our model, which is based on data analysis and forecast for the asset-side as well as a simulation model for the liability side. The core of our decision support system consists of the following building blocks : a set of securities, a pricing module based on a multifactor Markov model to derive expected returns of securities, a simulation-based model for liabilities, a carefully chosen objective function suitable for the pension fund and a stochastic optimization problem solver. We consider the use of different objectives in the model and decomposition techniques to solve the stochastic portfolio optimization problem. Our final goal is to design an efficient parallel implementation.
    Źródło:
    Control and Cybernetics; 1999, 28, 4; 755-777
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the construction of the common optimal market index in the Sharpe model
    Autorzy:
    Kuryłek, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/205979.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    regresja liniowa
    zastosowanie teorii systemów w ekonomii
    investment
    linear regression
    loss function
    market index
    maximal eigenvalue
    portfolio analysis
    principal components
    rates of return
    Sharpe model
    stock markets
    Opis:
    The purpose of this paper is to determine one factor which represents the whole market behavior on the basis of the rates of return of all equities traded oo this market. In the seminaal Sharpe model the factor is an exogenous varialble which is not determined by the model itself. This paper extends Sharpe's idea, as it assumes that the factor is a linear combination of all the rates of return of all traded equities. To determine this coefiicients of this linear combination we minimize the loss function which expresses the weighted mean square deviation of all rates of return from their predictions, having given the linear combination form of the market index. It is found that the vector of linear coeffcients has to be a nonzero eigenvector associated with the maximal eigenvalue of the appropriately transformed and estimated covariance matrix. The optimal market index for the Warsaw Stock Exchange was compared with the standard index. It occurs that there is only a very small difference between the standard index of this market and the optimal index.
    Źródło:
    Control and Cybernetics; 1999, 28, 4; 779-787
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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