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A simple statement and accessible proof of a version of the Fundamental Theorem of Asset Pricing in discrete time is provided. Careful distinction is made between prices and cash flows in order to provide uniform treatment of all…

Mathematical Finance · Quantitative Finance 2019-12-04 Keith A. Lewis

We study a financial model with a non-trivial price impact effect. In this model we consider the interaction of a large investor trading in an illiquid security, and a market maker who is quoting prices for this security. We assume that the…

Pricing of Securities · Quantitative Finance 2009-10-20 David German

We consider a financial market where stocks are available for dynamic trading, and European and American options are available for static trading (semi-static trading strategies). We assume that the American options are infinitely…

Mathematical Finance · Quantitative Finance 2016-02-09 Erhan Bayraktar , Zhou Zhou

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

We study optimal reinsurance in the framework of stochastic game theory, in which there is an insurer and two reinsurers. A Stackelberg model is established to analyze the non-cooperative relationship between the insurer and reinsurers,…

Mathematical Finance · Quantitative Finance 2023-05-02 Liyuan Lin , Fangda Liu , Jingzhen Liu abd Luyang Yu

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

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

Within the well-known framework of financial portfolio optimization, we analyze the existing relationships between the condition of arbitrage and the utility maximization in presence of \emph{insider information}. We assume that, since the…

Mathematical Finance · Quantitative Finance 2019-12-05 Bernardo D'Auria , José Antonio Salmerón

We consider an investor who wants to select her/his optimal consumption, investment and insurance policies. Motivated by new insurance products, we allow not only the financial marke but also the insurable loss to depend on the regime of…

Risk Management · Quantitative Finance 2014-06-25 Bin Zou , Abel Cadenillas

Risk control and optimal diversification constitute a major focus in the finance and insurance industries as well as, more or less consciously, in our everyday life. We present a discussion of the characterization of risks and of the…

Statistical Mechanics · Physics 2015-06-25 Didier Sornette

A stock market is called diverse if no stock can dominate the market in terms of relative capitalization. On one hand, this natural property leads to arbitrage in diffusion models under mild assumptions. On the other hand, it is also easy…

Portfolio Management · Quantitative Finance 2014-08-26 Attila Herczegh , Vilmos Prokaj , Miklós Rásonyi

The research presented in this work is motivated by recent papers by Brigo et al. (2011), Burgard and Kjaer (2009), Cr\'epey (2012), Fujii and Takahashi (2010), Piterbarg (2010) and Pallavicini et al. (2012). Our goal is to provide a sound…

Mathematical Finance · Quantitative Finance 2014-12-11 Tomasz R. Bielecki , Marek Rutkowski

We consider the problem of fair pricing and hedging under small perturbations of the num\'eraire. We show that for replicable claims, the change of num\'eraire affects neither the fair price nor the hedging strategy. For non-replicable…

Pricing of Securities · Quantitative Finance 2022-08-23 William Busching , Delphine Hintz , Oleksii Mostovyi , Alexey Pozdnyakov

Two markets should be considered isomorphic if they are financially indistinguishable. We define a notion of isomorphism for financial markets in both discrete and continuous time. We then seek to identify the distinct isomorphism classes,…

Mathematical Finance · Quantitative Finance 2020-07-27 John Armstrong

In this paper we consider reinsurance or risk sharing from a macroeconomic point of view. Our aim is to find socially optimal reinsurance treaties. In our setting we assume that there are $n$ insurance companies each bearing a certain risk…

Risk Management · Quantitative Finance 2021-07-21 Nicole Bäuerle , Alexander Glauner

This paper investigates a Pareto optimal insurance problem, where the insured maximizes her rank-dependent utility preference and the insurer is risk neutral and employs the mean-variance premium principle. To eliminate potential moral…

Risk Management · Quantitative Finance 2022-08-03 Zuo Quan Xu

The aim of this paper is to solve an optimal investment, consumption and life insurance problem when the investor is restricted to capital guarantee. We consider an incomplete market described by a jump-diffusion model with stochastic…

Portfolio Management · Quantitative Finance 2018-08-15 Rodwell Kufakunesu , Calisto Guambe

This paper proposes two approaches that quantify the exact relationship among the viability, the absence of arbitrage, and/or the existence of the num\'eraire portfolio under minimal assumptions and for general continuous-time market…

General Finance · Quantitative Finance 2014-06-20 Tahir Choulli , Jun Deng , Junfeng Ma

Individual investors are now massively using online brokers to trade stocks with convenient interfaces and low fees, albeit losing the advice and personalization traditionally provided by full-service brokers. We frame the problem faced by…

Artificial Intelligence · Computer Science 2021-03-16 Robin Swezey , Bruno Charron

We discuss the no-arbitrage conditions in a general framework for discrete-time models of financial markets with proportional transaction costs and general information structure. We extend the results of Kabanov and al. (2002), Kabanov and…

Probability · Mathematics 2008-12-10 Bruno Bouchard
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