[HTML][HTML] Spectrally negative Lévy risk model under Erlangized barrier strategy

H Dong, C Yin, H Dai - Journal of Computational and Applied Mathematics, 2019 - Elsevier
In this paper, we consider a spectrally negative Lévy risk process with periodic barrier
dividend strategy. We assume that the inter-dividend-decision times follow generalized …

The Leland–Toft optimal capital structure model under Poisson observations

Z Palmowski, JL Pérez, BA Surya, K Yamazaki - Finance and Stochastics, 2020 - Springer
This paper revisits the optimal capital structure model with endogenous bankruptcy, first
studied by Leland (J. Finance 49: 1213–1252, 1994) and Leland and Toft (J. Finance 51 …

Double continuation regions for American options under Poisson exercise opportunities

Z Palmowski, JL Pérez, K Yamazaki - Mathematical Finance, 2021 - Wiley Online Library
We consider the Lévy model of the perpetual American call and put options with a negative
discount rate under Poisson observations. Similar to the continuous observation case, the …

Mixed periodic-classical barrier strategies for Lévy risk processes

JL Pérez, K Yamazaki - Risks, 2018 - mdpi.com
Given a spectrally-negative Lévy process and independent Poisson observation times, we
consider a periodic barrier strategy that pushes the process down to a certain level …

On the dual risk model with diffusion under a mixed dividend strategy

Z Liu, P Chen, Y Hu - Applied Mathematics and Computation, 2020 - Elsevier
Inspired by the work of Zhang and Han (2017), this paper investigates a dual model with
diffusion where dividends are paid under a mixed strategy. This strategy is composed of two …

Optimal periodic replenishment policies for spectrally positive Lévy demand processes

JL Pérez, K Yamazaki, A Bensoussan - SIAM Journal on Control and …, 2020 - SIAM
We consider a version of the stochastic inventory control problem for a spectrally positive
Lévy demand process, in which the inventory can only be replenished at independent …

The W, Z scale functions kit for first passage problems of spectrally negative Lévy processes, and applications to control problems

F Avram, D Grahovac, C Vardar-Acar - ESAIM: Probability and …, 2020 - esaim-ps.org
In the last years there appeared a great variety of identities for first passage problems of
spectrally negative Lévy processes, which can all be expressed in terms of two “q-harmonic …

On the optimality of joint periodic and extraordinary dividend strategies

B Avanzi, H Lau, B Wong - European Journal of Operational Research, 2021 - Elsevier
In this paper, we model the cash surplus (or equity) of a risky business with a Brownian
motion (with a drift). Owners can take cash out of the surplus in the form of “dividends” …

On optimal periodic dividend and capital injection strategies for spectrally negative Lévy models

K Noba, JL Pérez, K Yamazaki, K Yano - Journal of Applied …, 2018 - cambridge.org
De Finetti's optimal dividend problem has recently been extended to the case when dividend
payments can be made only at Poisson arrival times. In this paper we consider the version …

Effects of positive jumps of assets on endogenous bankruptcy and optimal capital structure: Continuous-and periodic-observation models

DM López, JL Pérez, K Yamazaki - SIAM Journal on Financial Mathematics, 2021 - SIAM
In this paper, we study the optimal capital structure model with endogenous bankruptcy
when the firm's asset value follows an exponential Lévy process with positive jumps. In the …