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In this paper we consider an optimal investment and reinsurance problem with partially unknown model parameters which are allowed to be learned. The model includes multiple business lines and dependence between them. The aim is to maximize…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Gregor Leimcke

Payments in parametric insurance solutions are linked to an index and thus decoupled from policyholders' true losses. While this principle has appealing operational benefits compared to traditional indemnity coverage, i.e. is very efficient…

Applications · Statistics 2026-03-02 Markus Johannes Maier , Matthias Scherer

This paper fundamentally reformulates economic and financial theory to include electronic currencies. The valuation of the electronic currencies will be based on macroeconomic theory and the fundamental equation of monetary policy, not the…

Theoretical Economics · Economics 2025-07-15 Michael E. Glinsky , Sharon Sievert

We consider the problem of decomposing monetary risk in the presence of a fully traded market in {\it some} risks. We show that a mark-to-market approach to pricing leads to such a decomposition if the risk measure is time-consistent in the…

Probability · Mathematics 2008-12-10 Saul Jacka , Abdel Berkaoui

Transaction costs play a critical role in asset allocation and consumption strategies in portfolio management. We apply the methods of dynamic programming and singular perturbation expansion to derive the closed-form leading solutions to…

Portfolio Management · Quantitative Finance 2023-04-18 Yingting Miao , Qiang Zhang

This paper studies an optimal investment and risk control problem for an insurer with default contagion and regime-switching. The insurer in our model allocates his/her wealth across multi-name defaultable stocks and a riskless bond under…

Mathematical Finance · Quantitative Finance 2018-07-17 Lijun Bo , Huafu Liao , Yongjin Wang

We investigate the general structure of optimal investment and consumption with small proportional transaction costs. For a safe asset and a risky asset with general continuous dynamics, traded with random and time-varying but small…

Portfolio Management · Quantitative Finance 2015-05-18 Jan Kallsen , Johannes Muhle-Karbe

We propose a continuous-time model of trading with heterogeneous beliefs. Risk-neutral agents face quadratic costs-of-carry on positions and thus their marginal valuations decrease with the size of their position, as it would be the case…

Mathematical Finance · Quantitative Finance 2019-07-31 Marcel Nutz , José A. Scheinkman

Variable annuities, as a class of retirement income products, allow equity market exposure for a policyholder's retirement fund with electable additional guarantees to limit the downside risk of the market. Management fees and guarantee…

Pricing of Securities · Quantitative Finance 2017-05-12 Jin Sun , Pavel V. Shevchenko , Man Chung Fung

This paper considers the constrained portfolio optimization in a generalized life-cycle model. The individual with a stochastic income manages a portfolio consisting of stocks, a bond, and life insurance to maximize his or her consumption…

Portfolio Management · Quantitative Finance 2024-10-29 Wenyuan Li , Pengyu Wei

In the present work, the optimal portfolio minimizing the investment risk with cost is discussed analytically, where this objective function is constructed in terms of two negative aspects of investment, the risk and cost. We note the…

Portfolio Management · Quantitative Finance 2018-05-23 Takashi Shinzato

We investigate an optimal reinsurance problem for an insurance company facing a constant fixed cost when the reinsurance contract is signed. The insurer needs to optimally choose both the starting time of the reinsurance contract and the…

Mathematical Finance · Quantitative Finance 2021-01-14 Matteo Brachetta , Claudia Ceci

In this paper, as a first step in examining the properties of a feasible portfolio subset that is characterized by budget and risk constraints, we assess the maximum and minimum of the investment concentration using replica analysis. To do…

Portfolio Management · Quantitative Finance 2016-08-17 Takashi Shinzato

This paper develops a dynamic equilibrium model of the insurance market that jointly characterizes insurers' underwriting, investment, recapitalization, and dividend policies under model uncertainty and financial frictions. Competitive…

Risk Management · Quantitative Finance 2026-03-20 Bingzheng Chen , Jan Dhaene , Chun Liu , Shunzhi Pang

In this paper, we consider the problem of optimal reinsurance design, when the risk is measured by a distortion risk measure and the premium is given by a distortion risk premium. First, we show how the optimal reinsurance design for the…

Risk Management · Quantitative Finance 2014-06-12 Hirbod Assa

We introduce simple cost and risk proxy metrics that can be attached to Treasury issuance strategy to complement analysis of the resulting portfolio weighted-average maturity (WAM). These metrics are based on mapping issuance fractions to…

Portfolio Management · Quantitative Finance 2020-02-12 Christopher Cameron

We consider an insurance company whose surplus is represented by the classical Cramer-Lundberg process. The company can invest its surplus in a risk free asset and in a risky asset, governed by the Black-Scholes equation. There is a…

Portfolio Management · Quantitative Finance 2011-12-20 Tatiana Belkina , Christian Hipp , Shangzhen Luo , Michael Taksar

In this article we show that the payment flow of a linear tax on trading gains from a security with a semimartingale price process can be constructed for all c\`agl\`ad and adapted trading strategies. It is characterized as the unique…

Portfolio Management · Quantitative Finance 2015-07-01 Christoph Kühn , Björn Ulbricht

This paper is concerned with cost optimization of an insurance company. The surplus of the insurance company is modeled by a controlled regime switching diffusion, where the regime switching mechanism provides the fluctuations of the random…

Optimization and Control · Mathematics 2016-08-02 Chao Zhu

We study an optimal dividend problem for an insurer who simultaneously controls investment weights in a financial market, liability ratio in the insurance business, and dividend payout rate. The insurer seeks an optimal strategy to maximize…

Mathematical Finance · Quantitative Finance 2021-05-27 Zhuo Jin , Zuo Quan Xu , Bin Zou