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In this paper we develop a tractable structural model with analytical default probabilities depending on some dynamics parameters, and we show how to calibrate the model using a chosen number of Credit Default Swap (CDS) market quotes. We…

Pricing of Securities · Quantitative Finance 2009-12-17 Damiano Brigo , Marco Tarenghi

We consider a financial market with zero-coupon bonds that are exposed to credit and liquidity risk. We revisit the famous Jarrow & Turnbull setting in order to account for these two intricately intertwined risk types. We utilise the…

Mathematical Finance · Quantitative Finance 2020-04-28 Thomas Krabichler , Josef Teichmann

In this paper, we present a simple microeconomic model with linear continuous-time dynamics that describes a production-inventory system with debt repayment. This model is formulated in terms of optimal control and its exact solutions are…

Optimization and Control · Mathematics 2012-06-01 Ekaterina Tuchnolobova , Victor Terletskiy , Olga Vasilieva

The task of completing jobs with decaying value arises in a number of application areas including healthcare operations, communications engineering, and perishable inventory control. We consider a system in which a single server completes a…

Optimization and Control · Mathematics 2016-09-20 Neal Master , Nicholas Bambos

Currency crises are frequently discussed retrospectively as a necessary and deterministic outcome of a finite sequence of fiscal decisions, monetary manoeuvres, and limited exogenous inputs. Parallelly, the Twin Deficits Hypothesis (TDH)…

General Economics · Economics 2025-10-09 Shaunak Kulkarni , Rohan Ajay Dubey

A continuous-time consumption-investment model with constraint is considered for a small investor whose decisions are the consumption rate and the allocation of wealth to a risk-free and a risky asset with logarithmic Brownian motion…

Portfolio Management · Quantitative Finance 2022-01-06 Zuo Quan Xu , Fahuai Yi

This article presents a new model for valuing a credit default swap (CDS) contract that is affected by multiple credit risks of the buyer, seller and reference entity. We show that default dependency has a significant impact on asset…

Computational Finance · Quantitative Finance 2018-03-22 Alan White

We study relaxed stochastic control problems where the state equation is a one dimensional linear stochastic differential equation with random and unbounded coefficients. The two main results are existence of an optimal relaxed control and…

Optimization and Control · Mathematics 2008-02-15 Daniel Andersson , Boualem Djehiche

This paper presents an analysis of technical debt management through resources allocation policies in software maintenance process during its operation to demonstrate how different strategies leads to the emergence of different behaviors…

Software Engineering · Computer Science 2016-09-23 Eduardo Ferreira Franco , Joaquim Rocha , Hamilton Carvalho , Martins Marcelo , Kechi Hirama

The scale and terms of aggregate borrowing in an economy depend on the manner in which wealth is distributed across potential creditors with heterogeneous beliefs about the future. This distribution evolves over time as uncertainty is…

General Economics · Economics 2023-04-10 Bikramaditya Datta , Rajiv Sethi

Social Security and other public policies can be viewed as a series of cash in and outflows that depend on parameters such as the age distribution of the population and the retirement age. Given forecasts of these parameters, policies can…

General Finance · Quantitative Finance 2012-01-31 Martin Gremm , Mark B. Wise

We propose a semi-structural DSGE model for the Israeli economy, as a small open economy, which contains a financial friction in the household sector credit market. Such a friction is reflected in a positive relationship between households'…

General Economics · Economics 2026-03-12 Alex Ilek , Nimrod Cohen

In this article, we propose a new form of DAO governance that uses a sequential auction mechanism to overcome entrenched control issues that have emerged for DAOs by creating a regime of temporary contestable control. The mechanism avoids…

Computer Science and Game Theory · Computer Science 2025-07-08 Jeff Strnad

When interest rate dynamics are described by the Libor Market Model as in BGM97, we show how some essential risk-management results can be obtained from the dual of the calibration program. In particular, if the objetive is to maximize…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexandre d'Aspremont

The DebtRank algorithm has been increasingly investigated as a method to estimate the impact of shocks in financial networks, as it overcomes the limitations of the traditional default-cascade approaches. Here we formulate a dynamical…

Risk Management · Quantitative Finance 2018-11-21 Marco Bardoscia , Stefano Battiston , Fabio Caccioli , Guido Caldarelli

In this paper, we study the optimal investment problem of an insurer whose surplus process follows the diffusion approximation of the classical Cramer-Lundberg model. Investment in the foreign market is allowed, and therefore, the foreign…

Portfolio Management · Quantitative Finance 2020-06-05 Qianqian Zhou , Junyi Guo

This paper proposes a strategic model of pollution control. A firm, representative of the productive sector of a country, aims at maximizing its profits by expanding its production. Assuming that the output of production is proportional to…

Optimization and Control · Mathematics 2018-06-08 Giorgio Ferrari , Torben Koch

The paper concerns the study of equilibrium points, namely the stationary solutions to the closed loop equation, of an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations. Sufficient…

Optimization and Control · Mathematics 2007-12-04 Silvia Faggian

A debt swap is an elementary edge swap in a directed, weighted graph, where two edges with the same weight swap their targets. Debt swaps are a natural and appealing operation in financial networks, in which nodes are banks and edges…

Data Structures and Algorithms · Computer Science 2026-01-30 Henri Froese , Martin Hoefer , Lisa Wilhelmi

In this paper we consider a modification of the classical Merton portfolio optimization problem. Namely, an investor can trade in financial asset and consume his capital. He is additionally endowed with a one unit of an indivisible asset…

Portfolio Management · Quantitative Finance 2015-12-15 Jakub Trybuła