This paper uses multivariate Hawkes processes to model the transactions behavior of the U.S. stock market as proxied by the 30 Dow Jones Industrial Average stocks before, during and after the May 6, 2010 flash crash, which lasted 36 minutes. The basis for our analysis is the excitation matrix,...

This paper addresses the investment and financing decisions of entrepreneurs entering into option-for-guarantee swaps (OGSs). OGSs significantly increase investment option value. Entrepreneurs initially accelerate their investments and then postpone them as funding gaps grow. Guarantee costs...

We study an equilibrium pricing of a new invented equity-for-guarantee swap and optimal capital structure of a firm, which enters into the swap. We present closed-form corporate security prices and guarantee cost, the percentage of the firm's equity allocated by the firm/borrower to an insurer...

We consider a perturbed renewal risk model where the inter-claim times are phase-type distributed and the dividend payment is a step function depending on the current surplus level. We obtain the integro-differential equations with boundary conditions for the moment-generating functions and the...

We consider the utility-based pricing of corporate securities and optimal capital structure including contingent convertible bond (CCB). We derive the semi-closed-form solutions of the implied values of corporate securities without bankruptcy costs and taxes. Our numerical simulations show that...

We extend the classical compound Poisson risk model to consider the distribution of the maximum surplus before ruin where the claim sizes depend on inter-claim times via the Farlie-Gumbel-Morgenstern copula. We derive an integro-differential equation with certain boundary conditions for this...