Hailiang Yang
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View article: Cyber Risk Management and Mitigation Under Controlled Stochastic SIS Model
Cyber Risk Management and Mitigation Under Controlled Stochastic SIS Model Open
In this paper, we formulate cyber risk management and mitigation as a stochastic optimal control problem under a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model. To capture the dynamics and interplay of management and miti…
View article: Textual analysis of insurance claims with large language models
Textual analysis of insurance claims with large language models Open
This study proposes a comprehensive and general framework for examining discrepancies in textual content using large language models (LLMs), broadening application scenarios in the insurtech and risk management fields, and conducting empir…
View article: Textual Analysis of Insurance Claims with Large Language Models
Textual Analysis of Insurance Claims with Large Language Models Open
View article: Financial toxicity of family dementia caregiving in South Korea
Financial toxicity of family dementia caregiving in South Korea Open
Background One out of every ten individuals aged 65 or above in Korea experiences dementia, with a total dementia care cost of KRW 18.7198 trillion, or approximately KRW 21.24 million per person. It was discovered that the cost of treating…
View article: Valuation of cliquet-style guarantees with death benefits
Valuation of cliquet-style guarantees with death benefits Open
In this paper, we consider the problem of valuing an equity-linked insurance product with a cliquet-style payoff. The premium is invested in a reference asset whose dynamic is modeled by a geometric Brownian motion. The policy delivers a p…
View article: Valuation of Cliquet-Style Guarantees with Death Benefits in Jump Diffusion Models
Valuation of Cliquet-Style Guarantees with Death Benefits in Jump Diffusion Models Open
This paper aims to value the cliquet-style equity-linked insurance product with death benefits. Whether the insured dies before the contract maturity or not, a benefit payment to the beneficiary is due. The premium is invested in a financi…
View article: Phase-Type Models in Life Insurance: Fitting and Valuation of Equity-Linked Benefits
Phase-Type Models in Life Insurance: Fitting and Valuation of Equity-Linked Benefits Open
Phase-type (PH) distributions are defined as distributions of lifetimes of finite continuous-time Markov processes. Their traditional applications are in queueing, insurance risk, and reliability, but more recently, also in finance and, th…
View article: Optimal dividend policy with liability constraint under a hidden Markov regime-switching model
Optimal dividend policy with liability constraint under a hidden Markov regime-switching model Open
This paper deals with the optimal liability and dividend strategies for an insurance company in Markov regime-switching models. The objective is to maximize the total expected discounted utility of dividend payment in the infinite time hor…
View article: Approximation of optimal ergodic dividend strategies using controlled Markov chains
Approximation of optimal ergodic dividend strategies using controlled Markov chains Open
This study develops a numerical method to find optimal ergodic (long‐run average) dividend strategies in a regime‐switching model. The surplus process is modelled by a regime‐switching process subject to liability constraints. The regime‐s…
View article: ON THE COMPOUND POISSON RISK MODEL WITH PERIODIC CAPITAL INJECTIONS
ON THE COMPOUND POISSON RISK MODEL WITH PERIODIC CAPITAL INJECTIONS Open
The analysis of capital injection strategy in the literature of insurance risk models (e.g. Pafumi, 1998; Dickson and Waters, 2004) typically assumes that whenever the surplus becomes negative, the amount of shortfall is injected so that t…
View article: Table of Contents
Table of Contents Open
View article: Asymptotic results for ruin probability in a two-dimensional risk model with stochastic investment returns
Asymptotic results for ruin probability in a two-dimensional risk model with stochastic investment returns Open
View article: Optimal periodic dividend and capital injection problem for spectrally positive Lévy processes
Optimal periodic dividend and capital injection problem for spectrally positive Lévy processes Open
View article: A note on optimal insurance risk control with multiple reinsurers
A note on optimal insurance risk control with multiple reinsurers Open
View article: Optimal capital injection and dividend distribution for growth restricted diffusion models with bankruptcy
Optimal capital injection and dividend distribution for growth restricted diffusion models with bankruptcy Open
View article: Optimal insurance risk control with multiple reinsurers
Optimal insurance risk control with multiple reinsurers Open
View article: On a multi-dimensional risk model with regime switching
On a multi-dimensional risk model with regime switching Open
View article: Optimal asset allocation: Risk and information uncertainty
Optimal asset allocation: Risk and information uncertainty Open
View article: Optimal retention for a stop-loss reinsurance with incomplete information
Optimal retention for a stop-loss reinsurance with incomplete information Open
View article: Optimal debt ratio and dividend payment strategies with reinsurance
Optimal debt ratio and dividend payment strategies with reinsurance Open
View article: Geometric stopping of a random walk and its applications to valuing equity-linked death benefits
Geometric stopping of a random walk and its applications to valuing equity-linked death benefits Open
View article: An Integrated Risk Management Method: VaR Approach
An Integrated Risk Management Method: VaR Approach Open
This article presents a simple methodology for computing Value at Risk (VaR) for a portfolio of financial instruments that is sensitive to market risk, rating change, and default risk. An integrated model for market and credit risks is dev…
View article: Optimal financing and dividend distribution in a general diffusion model with regime switching
Optimal financing and dividend distribution in a general diffusion model with regime switching Open
We study the optimal financing and dividend distribution problem with restricted dividend rates in a diffusion type surplus model where the drift and volatility coefficients are general functions of the level of surplus and the external en…
View article: Fourier-cosine method for Gerber–Shiu functions
Fourier-cosine method for Gerber–Shiu functions Open
View article: VALUING EQUITY-LINKED DEATH BENEFITS IN A REGIME-SWITCHING FRAMEWORK
VALUING EQUITY-LINKED DEATH BENEFITS IN A REGIME-SWITCHING FRAMEWORK Open
In this article, we consider the problem of computing the expected discounted value of a death benefit, e.g. in Gerber et al. (2012, 2013), in a regime-switching economy. Contrary to their proposed discounted density approach, we adopt the…