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We introduce an interactive market setup with sequential auctions where agents receive variegated signals with a known deadline. The effects of differential information and mutual learning on the allocation of overall profit \& loss (P\&L)…

Mathematical Finance · Quantitative Finance 2016-10-14 N. Serhan Aydin

In this paper we take a look at a simple portfolio insurance strategy using a protective put and computationally derive the investor's governing utility structures underlying such a strategy under alternative market scenarios. Investor…

General Mathematics · Mathematics 2007-05-23 M. Khoshnevisan , Florentin Smarandache , Sukanto Bhattacharya

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

We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant…

Mathematical Finance · Quantitative Finance 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser

We demonstrate a limitation of discounted expected utility, a standard approach for representing the preference to risk when future cost is discounted. Specifically, we provide an example of the preference of a decision maker that appears…

Computer Science and Game Theory · Computer Science 2012-02-20 Takayuki Osogami

In the hypothesis of rare loss events, the general expression of the policy value has been determined as a functional of the "expected frequency / loss severity" function and of the retention function. Exponential disutility has been chosen…

Probability · Mathematics 2008-12-02 Renato Ghisellini

We consider the optimal risk transfer from an insurance company to a reinsurer. The problem formulation considered in this paper is closely connected to the optimal portfolio problem in finance, with some crucial distinctions. In…

Optimization and Control · Mathematics 2023-06-23 Benjamin Avanzi , Hayden Lau , Mogens Steffensen

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

Statistical Mechanics · Physics 2008-12-02 Robert Kitt , Jaan Kalda

In this paper, we consider an optimal reinsurance problem to minimize the probability of drawdown for the scaled Cram\'er-Lundberg risk model when the reinsurance premium is computed according to the mean-variance premium principle. We…

Optimization and Control · Mathematics 2022-01-04 Pablo Azcue , Xiaoqing Liang , Nora Muler , Virginia R. Young

We study a reinsurer who faces multiple sources of model uncertainty. The reinsurer offers contracts to $n$ insurers whose claims follow compound Poisson processes representing both idiosyncratic and systemic sources of loss. As the…

Risk Management · Quantitative Finance 2024-10-03 Emma Kroell , Sebastian Jaimungal , Silvana M. Pesenti

We introduce a collective model for life insurance where the heterogeneity of each insured, including the health state, is modeled by a diffusion process. This model is influenced by concepts in statistical mechanics. Using the proposed…

General Finance · Quantitative Finance 2020-12-18 Jirô Akahori , Yuuki Ida , Maho Nishida , Shuji Tamada

This paper develops a method to derive optimal portfolios and risk premia explicitly in a general diffusion model for an investor with power utility and a long horizon. The market has several risky assets and is potentially incomplete.…

Probability · Mathematics 2012-03-08 Paolo Guasoni , Scott Robertson

We analyze the limiting behavior of the risk premium associated with the Pareto optimal risk sharing contract in an infinitely expanding pool of risks under a general class of law-invariant risk measures encompassing rank-dependent utility…

Risk Management · Quantitative Finance 2021-07-06 Thomas Knispel , Roger J. A. Laeven , Gregor Svindland

We consider a discrete time financial market with proportional transaction costs under model uncertainty, and study a num\'eraire-based semi-static utility maximization problem with an exponential utility preference. The randomization…

Mathematical Finance · Quantitative Finance 2019-08-02 Shuoqing Deng , Xiaolu Tan , Xiang Yu

The paper studies pricing of insurance products focusing on the pricing of annuities under uncertainty. This pricing problem is crucial for financial decision making and was studied intensively, however, many open questions still remain. In…

General Economics · Economics 2022-07-20 Nikolai Dokuchaev

Recent studies concerning the point electricity price forecasting have shown evidence that the hourly German Intraday Continuous Market is weak-form efficient. Therefore, we take a novel, advanced approach to the problem. A probabilistic…

Statistical Finance · Quantitative Finance 2021-02-02 Michał Narajewski , Florian Ziel

We examine the problem of optimal portfolio allocation within the framework of utility theory. We apply exponential utility to derive the optimal diversification strategy and logarithmic utility to determine the optimal leverage. We enhance…

Portfolio Management · Quantitative Finance 2025-10-01 Vladimir Markov

In this paper, we study an optimal reinsurance-investment problem in a risk model with two dependent classes of insurance business, where the two claim number processes are correlated through a common shock component. We assume that the…

Optimization and Control · Mathematics 2020-10-26 Xia Han , Zhibin Liang

This paper considers an insurer with two collaborating business lines that faces three critical decisions: (1) dividend payout, (2) reinsurance coverage, and (3) capital injection between the lines, in the presence of model uncertainty. The…

Optimization and Control · Mathematics 2026-03-27 Tim J. Boonen , Engel John C. Dela Vega , Len Patrick Dominic M. Garces

We develop a theory for pricing non-diversifiable mortality risk in an incomplete market. We do this by assuming that the company issuing a mortality-contingent claim requires compensation for this risk in the form of a pre-specified…

Pricing of Securities · Quantitative Finance 2008-12-02 Moshe A. Milevsky , S. David Promislow , Virginia R. Young