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    Wyświetlanie 1-7 z 7
    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:
    Construction of a k-immunization strategy with the highest convexity
    Autorzy:
    Zaremba, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/206561.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    immunizacja
    wypukłość
    convexity
    immunization
    K-T conditions
    unanticipated return
    Opis:
    Assuming that interest rate shocks are proportional to their values plus one, we prove in Theorem 1 the existence of and construct a portfolio Z[sup *] with the highest convexity in the class of portfolios that solve the immunization problem to meet the liability to pay C dollars K years from now. Z[sup *] appears to be a barbell strategy with two zero-coupon bonds with the shorest and the longest maturities. This intuitively clear result has been obtained here in a rigorous way by means of the K-T conditions. In addition, we show that our result is stricly related to the problem of maximization of the unanticipated rate of return on a portfolio solving the above immunization problem (Theorem 2). Two more results concerning the unanticipated return after K years are provided with proofs. An example illustrating the role of convexity in maximization of the unanticipated return is included. Despite the fact that there exists a pretty vast literature on bond portfolio strategies, the present paper offers a new methodological approach to this area (see Ingersoll, Skelton, Weil, 1978).
    Źródło:
    Control and Cybernetics; 1998, 27, 1; 135-144
    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:
    On influenece of the Taylor series remainder on unanticipated rates of return on fixed income bond portfolios
    Autorzy:
    Olbryś, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/206662.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    wypukłość
    bond portfolios
    convexity
    duration
    fixed income bonds
    rate of return
    Taylor series
    Opis:
    Changes in spot rates, unknown aprriori to investors, induce unanticipated rates of return on all financial market instruments. In this paper we introduce and investigate a concept of the rest of a bond. The concept is related to the Taylor series remainder and gives a better approximation to an unanticipated rate of return of fixed income bonds and bond portfolios. It is shown that the rest of the portfolio composed of fixed income bounds is a convex combination of the rests of these bonds. A stronger version of the theorem on rates of return on fixed income bond portfolios is given.
    Źródło:
    Control and Cybernetics; 1999, 28, 4; 789-797
    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
    Tytuł:
    Optimization of survival strategy by application of safety dependent utility model
    Autorzy:
    Kulikowski, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/205749.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optymalizacja
    prawdopodobieństwo
    ryzyko
    teoria decyzji
    teoria systemów
    wzór użytkowy
    death-averting
    decision support
    expcted return
    life saving
    optimization
    optimum life-saving strategy
    probability of death and survival
    risk
    safety
    utility models
    Opis:
    This paper deals with life-saving decisions. The decision maker can buy a number of death-averting devices or services which increase his safety S at the expense of the discounted future consumption R. The safety and consumption depend parametrically on the death probability p and the probability reducing strategy x, i.e. S(p/x); R(p/x). The two-factors utility function U(S, R) is used to find the optimum strategy x = [...]. which maximizes U(x). One can show that the unique strategy [...] exists and can be effectively derived. Many applications of proposed methodology are indicated.
    Źródło:
    Control and Cybernetics; 2000, 29, 1; 167-178
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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