Creditors, banks and bank regulators should evaluate whether a borrower is likely to default. I apply several techniques in the extensive mathematical literature of stochastic optimal control/dynamic programming to derive an optimal debt in an environment where there are risks on both the asset...

Investitionsentscheidungen sind i.d.R. durch Unsicherheit, Irreversibilität und zeitliche Flexibilität gekennzeichnet. Bei einfachen Kapitalwertberechnungen wird dies nicht berücksichtigt. Aber auch die flexible Investitionsplanung mit Hilfe von Entscheidungsbäumen, die den am weitesten...

We introduce a novel simulated certainty equivalent approximation (SCEQ) method for solving dynamic stochastic problems. Our examples show that SCEQ can quickly solve high-dimensional finite- or infinite-horizon, stationary or non- stationary dynamic stochastic problems with hundreds of state...

Research on container loading problems has helped increase the occupation rate of containers in different practical situations. We consider these problems within a context which might pressure the loading process, leading to sub-optimal solutions. Some facilities like cross-docks have reduced...

We revisit a service provider's problem to match supply and demand via an online appointment system such as a doctor in the health care sector. We identify in a survey that an extensive set of available appointments leads to significantly less demand because customers infer a lower quality of...

In this paper we develop a framework to analyze stochastic dynamic optimization problems in discrete time. We obtain new results about the existence and uniqueness of solutions to the Bellman equation through a notion of Banach contractions that generalizes known results for Banach and local...

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 whenever the observed value is above it. We also consider the versions with additional classical reflection above and/or...

In the information-based pricing framework of Brody, Hughston & Macrina, the market filtration {F t } tÏ0 {Ft}tÏ0 is generated by an information process {ξ t } tÏ0 {ξt}tÏ0 defined in such a way that at some fixed time T an F T FT -measurable random variable X T XT is "revealed". A cash...

In this paper, we present a stochastic optimal control model to optimize an insurance firm problem in the case where its cash-balance process is assumed to be described by a stochastic differential equation driven by Teugels martingales. Noticing that the insurance firm is able to control its...

I analyze the dynamics of European credit default swap spreads by estimating CDS spreads via an extension of the structural credit risk models by Black and Cox (1976) as well as Leland (1994), the so called CreditGrades model proposed by Finger et al. (2002). Using two different procedures in...