Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Derivatives of Risk Measures

This paper provides the first and second order derivatives of any risk measures, including VaR and ES for continuous and discrete portfolio loss random variable variables. Also, we give asymptotic results of the first and second order conditional moments for heavy-tailed portfolio loss random variab

Lab Rats Math 8.5 Rigor 2.5 ·  April 15, 2024

The Merton's Default Risk Model for Public Company

In this paper, we developed the Merton’s structural model for public companies under an assumption that liabilities of the companies are observed. Using Campbell and Shiller’s approximation method, we obtain formulas of risk-neutral equity and liability values and default probabilities for the publi

Lab Rats Math 7.5 Rigor 3 ·  June 26, 2024

Gordon Growth Model with Vector Autoregressive Process

In this study, we introduce a Gordon’s dividend discount model, based on Vector Autoregressive Process (VAR). We provide two Propositions, which are related to generic Gordon growth model and Gordon growth model, which is based on the VAR process.

Lab Rats Math 7 Rigor 1.5 ·  June 27, 2024

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