Multi-dimensional Self-Exciting NBD Process and Default Portfolios
Masato Hisakado (),
Kodai Hattori and
Shintaro Mori
Additional contact information
Masato Hisakado: Nomura Holdings, Inc.
Kodai Hattori: Hirosaki University
Shintaro Mori: Hirosaki University
The Review of Socionetwork Strategies, 2022, vol. 16, issue 2, 493-512
Abstract:
Abstract In this study, we apply a multidimensional self-exciting negative binomial distribution (SE-NBD) process to default portfolios with 13 sectors. The SE-NBD process is a Poisson process with a gamma-distributed intensity function. We extend the SE-NBD process to a multidimensional process. Using the multidimensional SE-NBD process (MD-SE-NBD), we can estimate interactions between these 13 sectors as a network. By applying impact analysis, we can classify upstream and downstream sectors. The upstream sectors are real-estate and financial institution (FI) sectors. From these upstream sectors, shock spreads to the downstream sectors. This is an amplifier of the shock. This is consistent with the analysis of bubble bursts. We compare these results to the multidimensional Hawkes process (MD-Hawkes) that has a zero-variance intensity function.
Keywords: Hawkes process; Hawkes graph (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:spr:trosos:v:16:y:2022:i:2:d:10.1007_s12626-022-00122-y
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DOI: 10.1007/s12626-022-00122-y
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