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Assets/liabilities portfolio immunization as an optimization problem

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to present bond portfolio immunization strategies in the case of multiple liabilities, based on single-risk or multiple-risk measure models under the assumption of multiple shocks in the term structure of interest rates referring, in particular, to Fong and Vasicek (1984), Nawalkha and Chambers (1996), Balbas and Ibanez (1998) and Hurlimann (2002). Immunization problem is formulated as a constrained optimization problem under a fixed open loop strategy. New risk measures associated with changes of the term structure are also defined.
Rocznik
Strony
335--349
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
autor
  • Center of Mathematics and Physics, Technical University of Łódź, Al. Politechniki 11, 90-924 Łódź, Poland, akondrat@p-lodz.pl
Bibliografia
  • BALBAS, A. and IBANEZ, A. (1998) When can you immunize a bond portfolio? Journal of Banking & Finance 22, 1571-1594.
  • BALBAS, A., IBANEZ, A. and L6PEZ, S. (2002) Dispersion measures as immunization risk measures. Journal of Banking & Finance 26, 1229-1244.
  • BIERWAG, G.O. and KHANG, C. (1979) An immunization strategy is a min-max strategy. Journal of Finance 34, 389-414.
  • FISHER, L. and WEIL, R.L. (1971) Coping with risk of interest rate fluctuations: returns to bondholders from naive and optimal strategies. Journal of Bussiness 44, 408-431.
  • FONG, H.G. and VASICEK, O.A. (1984) A risk minimizing strategy for portfolio immunization. Journal of Finance 39, 1541-1546.
  • GAJEK; L. (2005) Axiom of solvency and portfolio immunization under random interest rates. Insurance Mathematics and Economics 36, 317-328.
  • GHEZZI, L.L. (1997) Immunization and maximin optimal control, Journal of Optimization Theory & Applications 95, 701-711.
  • GHEZZI, L.L. (1999) A maximin policy for bond management. European Journal of Operational Research 114, 389-394.
  • GHEZZI, L.L. (2000) Bond management and max-min optimal control. Applied Mathematics & Computation 112, 33-40.
  • HÜRLIMANN, W. (2002) On immunization, stop-loss order and the maximum Shiu measure. Insurance Mathematics & Economics 31, 315-325.
  • KAŁUSZKA, M. and KONDRATIUK-JANYSKA, A. (2004a) On duration-dispersion strategies for portfolio immunization. Acta Universitatis Lodziensis. Folia Oeconomica 177, 191-202.
  • KAŁUSZKA, M. and KONDRATIUK-JANYSKA, A. (2004b) On risk minimizing strategies for default-free bond portfolio immunization. Applicationes Mathematicae 31, 259-272.
  • KONDRATIUK-JANYSKA, A. and KAŁUSZKA, M. (2005) Bond portfolio immunization in arbitrage free models. To appear in Acta Universitatis Lodziensis, Folia Oeconomica.
  • NAWALKHA, S.K. and CHAMBERS, D.R. (1996) An improved immunization strategy: M-Absolute. Financial Analysts Journal 52, 69-76.
  • NAWALKHA, S.K., SOTO, G. M. and ZHANG, J. (2003) Generalized M-vector models for hedging interest rate risk. Journal of Banking & Finance 27, 1581-1604.
  • PANJER, H.H. (EDITOR, 1998) Financial Economics with Applications to Investment, Insurance & Pensions. The Actuarial Foundation, Schaumburg IL.
  • REDINGTON, F.M. (1952) Review of the principle of life-office valuations. Journal of the Institute of Actuaries 18, 286-340.
  • RZĄDKOWSKI, G. and ZAREMBA, L.S, (2000) New formulas for immunizing durations. Journal of Derivatives, 28-36.
  • SAMUELSON, P. A. (1945) The effects of interest rates increases on the banking system. American Economic Review 35, 16-27.
  • ZAREMBA, L.S. (1998) Construction of a k-immunization strategy with the highest convexity. Control and Cybernetics 27, 135-144.
  • ZAREMBA, L.S. and SMOLEŃSKI, W. (2000a) Optimal portfolio choice under a liability constraint. Annals of Operations Research 97, 131-141.
  • ZAREMBA, L.S. and SMOLEŃSKI, W. (2000b ) How to find a bond portfolio with the highest convexity in a class of fixed duration portfolios. Bulletin of the Polish Academy of Sciences, Technical Sciences 48, 279-286.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0011-0033
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