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Portfólióallokáció csődveszély esetén, korlátolt felelősség mellett
[Portfolio allocation in case of failure risk in the presence of limited liability]

Author

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  • Bihary, Zsolt
  • Víg, Attila András

Abstract

Modellünkben dinamikus portfólióoptimalizálási feladatot oldunk meg. A kockázatos eszköz ugró diffúziós folyamatot követ, amely lefele ugrásokra képes, míg a kockázatmentes a szokásos bankbetét. Az irodalomban az optimalizálás során csak olyan stratégiákat vesznek figyelembe, amelyek mellett a portfólió értékfolyamata nem lehet negatív. Tanulmányunkban szakítunk ezzel a hagyománnyal, megengedünk csődveszéllyel fenyegető stratégiákat is, amikor a befektető korlátolt felelősséget vállal, így csőd esetén nemcsak saját vagyonát veszíti el teljes mértékben, de a hitelező is kénytelen veszteséget elkönyvelni. A hitelező ennek megfelelően kockázati felárat állapít meg hitelnyújtáskor, amit endogén módon figyelembe veszünk. Ha a kockázatelutasítás paramétere elegendően kicsi, akkor az általunk javasolt korlátolt felelősséggel értelmezhetővé válnak nagy tőkeáttételes stratégiák, és mutatunk olyan realisztikus eseteket, ahol ezek optimálisnak bizonyulnak. Nagy ugrások esetén az optimális tőkeáttétel nem folytonos módon függ a külső paraméterektől.* Journal of Economic Literature (JEL) kód: C22, C61, G11.

Suggested Citation

  • Bihary, Zsolt & Víg, Attila András, 2018. "Portfólióallokáció csődveszély esetén, korlátolt felelősség mellett [Portfolio allocation in case of failure risk in the presence of limited liability]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 711-725.
    • Handle: RePEc:ksa:szemle:1784
    DOI: 10.18414/KSZ.2018.7-8.711
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    References listed on IDEAS

    as
    1. Bellamy, Nadine, 2001. "Wealth optimization in an incomplete market driven by a jump-diffusion process," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 259-287, April.
    2. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    3. Ralf Korn & Paul Wilmott, 2002. "Optimal Portfolios Under The Threat Of A Crash," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 171-187.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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