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When a loan is approved for a person or company, the bank is subject to \emph{credit risk}; the risk that the lender defaults. To mitigate this risk, a bank will require some form of \emph{security}, which will be collected if the lender…

Data Structures and Algorithms · Computer Science 2019-03-01 Hannaneh Akrami , Kurt Mehlhorn , Tommy Odland

We consider a scenario where a system experiences a disruption, and the states (representing health values) of its components continue to reduce over time, unless they are acted upon by a controller. Given this dynamical setting, we…

Systems and Control · Computer Science 2020-04-09 Hemant Gehlot , Shreyas Sundaram , Satish V. Ukkusuri

We study the problem of optimal risk policies and dividend strategies for an insurance company operating under the constraint that the timing of shareholder payouts is governed by the arrival times of a Poisson process. Concurrently, risk…

Optimization and Control · Mathematics 2025-02-19 Mark Kelbert , Harold A. Moreno-Franco

We consider mean-field control problems in discrete time with discounted reward, infinite time horizon and compact state and action space. The existence of optimal policies is shown and the limiting mean-field problem is derived when the…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle

We study price regulation for a monopolist operating in networked markets with demand spillovers. Achieving efficiency requires price reductions proportional to consumers' Katz-Bonacich centralities, which generally cannot be implemented by…

Theoretical Economics · Economics 2026-03-05 Chengqing Li , Junjie Zhou

Optimal reinsurance when Value at Risk and expected surplus is balanced through their ratio is studied, and it is demonstrated how results for risk-adjusted surplus can be utilized. Simplifications for large portfolios are derived, and this…

Applications · Statistics 2019-12-10 Erik Bølviken , Yinzhi Wang

This paper studies a systemic risk control problem by the central bank, which dynamically plans monetary supply to stabilize the interbank system with borrowing and lending activities. Facing both heterogeneity among banks and the common…

Optimization and Control · Mathematics 2022-05-18 Lijun Bo , Tongqing Li , Xiang Yu

The process of contagiousness spread modelling is well-known in epidemiology. However, the application of spread modelling to banking market is quite recent. In this work, we present a system of ordinary differential equations, simulating…

Optimization and Control · Mathematics 2018-02-19 Olena Kostylenko , Helena Sofia Rodrigues , Delfim F. M. Torres

We analyze a class of stochastic differential games of singular control, motivated by the study of a dynamic model of interbank lending with benchmark rates. We describe Pareto optima for this game and show how they may be achieved through…

Optimization and Control · Mathematics 2021-06-15 Rama Cont , Xin Guo , Renyuan Xu

We show that any objective risk measurement algorithm mandated by central banks for regulated financial entities will result in more risk being taken on by those financial entities than would otherwise be the case. Furthermore, the risks…

Risk Management · Quantitative Finance 2012-04-23 Philip Z. Maymin , Zakhar G. Maymin

This paper provides a general characterization of subgame perfect equilibria for strategic timing problems, where two firms have the (real) option to make an irreversible investment. Profit streams are uncertain and depend on the market…

Economics · Quantitative Finance 2018-05-23 Jan-Henrik Steg

As demonstrated during the recent financial crisis, regulators require additional analytical tools to assess systemic risk in the financial sector. This paper describes one such tool; namely a novel market modeling and analysis capability.…

Trading and Market Microstructure · Quantitative Finance 2011-05-30 Brian Tivnan , Matthew Koehler , Matthew McMahon , Matthew Olson , Neal Rothleder , Rajani Shenoy

We study an optimal dividend problem under a bankruptcy constraint. Firms face a trade-off between potential bankruptcy and extraction of profits. In contrast to previous works, general cash flow drifts, including Ornstein--Uhlenbeck and…

Optimization and Control · Mathematics 2018-03-05 Max Reppen , Jean-Charles Rochet , H. Mete Soner

We consider the problem of optimal consumption from labor income and investment in a general incomplete semimartingale market. The economic agent cannot borrow against future income, so the total wealth is required to be positive at (all or…

Probability · Mathematics 2019-01-29 Oleksii Mostovyi , Mihai Sîrbu

We study the problem of choosing optimal policy rules in uncertain environments using models that may be incomplete and/or partially identified. We consider a policymaker who wishes to choose a policy to maximize a particular counterfactual…

Econometrics · Economics 2020-12-22 Thomas M. Russell

This paper considers the portfolio management problem of optimal investment, consumption and life insurance. We are concerned with time inconsistency of optimal strategies. Natural assumptions, like different discount rates for consumption…

Optimization and Control · Mathematics 2011-07-25 Ivar Ekeland , Oumar Mbodji , Traian A. Pirvu

We present a broad agenda for meaningful banking regulation reform aiming the creation of evolutive competitive environment to maximize the effectiveness of international financial system through the introduction of fair competition process…

General Finance · Quantitative Finance 2012-06-14 Viktor O. Ledenyov , Dimitri O. Ledenyov

While optimal taxation theory provides clear prescriptions for tax design, translating these insights into actual tax codes remains difficult. Existing work largely offers theoretical characterizations of optimal systems, while practical…

General Finance · Quantitative Finance 2026-01-23 Mark Verhagen , Menno Schellekens , Michael Garstka

This study considers an optimal reinsurance, investment, and dividend strategy control problem for insurance companies in a regulated Markov regime-switching environment, intending to maximize long-run average reward. Unlike existing single…

Optimization and Control · Mathematics 2025-12-18 Lingjia Zeng , Manman Li

A decision maker typically (i) incorporates training data to learn about the relative effectiveness of treatments, and (ii) chooses an implementation mechanism that implies an ``optimal'' predicted outcome distribution according to some…

Econometrics · Economics 2025-05-29 Anders Bredahl Kock , David Preinerstorfer