English

Merton's Default Risk Model for Private Company

Mathematical Finance 2022-08-04 v1

Abstract

Because the asset value of a private company does not observable except in quarterly reports, the structural model has not been developed for a private company. For this reason, this paper attempt to develop the Merton's structural model for the private company by using the dividend discount model (DDM). In this paper, we obtain closed--form formulas of risk--neutral equity and liability values and default probability for the private company. Also, the paper provides ML estimators and the EM algorithm of our model's parameters.

Keywords

Cite

@article{arxiv.2208.01974,
  title  = {Merton's Default Risk Model for Private Company},
  author = {Battulga Gankhuu},
  journal= {arXiv preprint arXiv:2208.01974},
  year   = {2022}
}

Comments

15 pages. arXiv admin note: substantial text overlap with arXiv:2206.09666

R2 v1 2026-06-25T01:26:34.473Z