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  • https://doi.org/10.6529/rsfm.2012.24(3).6Copy DOI Icon

Defaultable Options under Imprecise Information

  • Sep 1, 2012
  • Yuhong Liu +3 more
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Abstract

This study proposes a structural model for defaultable options in a fuzzy environment. The proposed model is capable of dealing with market state variables, including firm value and fractional recovery rate, which are uncertain factors that differ from probabilistic essence and exhibit difficulty in determining precise price values exactly, namely they are market variables about which investors have only imprecise information. Since the unavailability of reliable accounting data makes the true value of firm assets unobservable, this study takes the advantage of fuzzy logic and adds a source of uncertainty to the classical stochastic default model, such as that of Klein (1996), to improve model performance. To show the robustness of the proposed model, some daily data of call options price are used to investigate its reliability. The empirical results demonstrate that the proposed fuzzy logic model has significantly better performance than previous structural form models and is indeed a useful means to manage prices risk for both option buyers and writers. This study is provided with the aim of offering insights into future research on defaultable options pricing under imprecise market information.

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