A Response Function of Merton Model and Kinetic Ising Model

التفاصيل البيبلوغرافية
العنوان: A Response Function of Merton Model and Kinetic Ising Model
المؤلفون: Masato Hisakado, Kaneko Takuya
المصدر: Advanced Studies of Financial Technologies and Cryptocurrency Markets ISBN: 9789811544972
بيانات النشر: Springer Singapore, 2020.
سنة النشر: 2020
مصطلحات موضوعية: Normal distribution, Phase transition, Probability of default, Mean field theory, Hyperbolic function, Function (mathematics), Statistical physics, Volatility (finance), Threshold model, Mathematics
الوصف: We study contagious defaults of banks by applying a voting model. The network of banks are created by the relation, lending and borrowing among banks. We introduce the response function from Merton model. Using this response function we calculate the probability of default (PD) which includes not only changes of asset values but also the effects of connected banks’ defaults using the mean field approximation. If we approximate the normal distribution which Merton model uses by \(\tanh \) function, we can obtain the kinetic Ising model which represents phase transition. The asset volatility plays the role of temperature. In the low temperature limit, the model becomes the threshold model. We calculate PD which shows the effect of the situations around the bank as the additional PD using the self consistent equation.
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_________::08021eb57f4ec6d8a9e1426ba22e5e60
https://doi.org/10.1007/978-981-15-4498-9_5
حقوق: CLOSED
رقم الأكسشن: edsair.doi...........08021eb57f4ec6d8a9e1426ba22e5e60
قاعدة البيانات: OpenAIRE