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Valuation of American Call Option Considering Uncertain Volatility

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    0359287 - MÚ 2012 RIV CN eng J - Journal Article
    Hlaváček, Ivan
    Valuation of American Call Option Considering Uncertain Volatility.
    Advances in Applied Mathematics and Mechanics. Roč. 2, č. 2 (2010), s. 211-221. ISSN 2070-0733. E-ISSN 2075-1354
    R&D Projects: GA AV ČR(CZ) IAA100190803
    Institutional research plan: CEZ:AV0Z10190503
    Keywords : American options * parabolic variational inequality * uncertain parameter
    Subject RIV: BA - General Mathematics
    Impact factor: 0.510, year: 2010
    http://www.global-sci.org/aamm/readabs.php?vol=2&no=2&doc=211&year=2010&ppage=221

    The parabolic variational inequality for simulating the valuation of American option is used to analyze a continuous dependence of the solution with respect to the uncertain volatility parameter. Three kinds of the continuity are proved, enabling us to employ the maximum range method for the uncertain parameter, under the condition that the criterion-functional has the corresponding property.
    Permanent Link: http://hdl.handle.net/11104/0197098

     
     
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