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In this paper, we study the exponential utility indifference pricing of pure endowment policies within a stochastic-factor model for an insurer who also invests in a financial market. Our framework incorporates a hazard rate modeled as an…

Portfolio Management · Quantitative Finance 2025-07-30 Alessandra Cretarola , Benedetta Salterini

Model risk measures consequences of choosing a model in a class of possible alternatives. We find analytical and simulated bounds for payoff functions on classes of plausible alternatives of a given discrete model. We measure the impact of…

Mathematical Finance · Quantitative Finance 2023-02-20 Roberto Fontana , Patrizia Semeraro

We develop efficient algorithms to construct utility maximizing mechanisms in the presence of risk averse players (buyers and sellers) in Bayesian settings. We model risk aversion by a concave utility function, and players play…

Computer Science and Game Theory · Computer Science 2012-06-28 Anand Bhalgat , Tanmoy Chakraborty , Sanjeev Khanna

We calculate explicitly the optimal strategy for an investor with exponential utility function when the stock price follows an autoregressive Gaussian process. We also calculate its performance and analyse it when the trading horizon tends…

Optimization and Control · Mathematics 2015-01-08 Sándor Deák , Miklós Rásonyi

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 2010-07-21 David German

The strengthening of capital requirements has induced banks and traders to consider charging a so called capital valuation adjustment (KVA) to the clients in OTC transactions. This roughly corresponds to charge the clients ex-ante the…

Risk Management · Quantitative Finance 2017-08-18 Damiano Brigo , Marco Francischello , Andrea Pallavicini

We propose indifference pricing to estimate the value of the weak information. Our framework allows for tractability, quantifying the amount of additional information, and permits the description of the smallness and the stability with…

Mathematical Finance · Quantitative Finance 2024-08-06 Fabrice Baudoin , Oleksii Mostovyi

In this paper we address the problem of optimal liquidation of a large portfolio composed by securities exposed to default risk. The default time is described in terms of a Brownian motion representing the evolution of the value of the…

Optimization and Control · Mathematics 2026-02-03 Daniel Hernández-Hernńdez , Harold A. Moreno-Franco , José-Luis Pérez

This paper studies a finite-horizon portfolio selection problem with non-concave terminal utility and proportional transaction costs, in which the commonly used concavification principle for terminal value is no longer applicable. We…

Mathematical Finance · Quantitative Finance 2025-06-04 Shuaijie Qian , Chen Yang

The problem of robust utility maximization in an incomplete market with volatility uncertainty is considered, in the sense that the volatility of the market is only assumed to lie between two given bounds. The set of all possible models…

Probability · Mathematics 2015-04-07 Anis Matoussi , Dylan Possamaï , Chao Zhou

This work focuses on the indifference pricing of American call option underlying a non-traded stock, which may be partially hedgeable by another traded stock. Under the exponential forward measure, the indifference price is formulated as a…

Pricing of Securities · Quantitative Finance 2012-01-04 Xiaoshan Chen , Qingshuo Song , Fahuai Yi , George Yin

We perform a stability analysis for the utility maximization problem in a general semimartingale model where both liquid and illiquid assets (random endowments) are present. Small misspecifications of preferences (as modeled via expected…

Portfolio Management · Quantitative Finance 2010-03-17 Constantinos Kardaras , Gordan Zitkovic

We study investment and insurance demand decisions for an agent in a theoretical continuous-time expected utility maximization model that combines risky assets with an (exogenous) insurable background risk. This risk takes the form of a…

Mathematical Finance · Quantitative Finance 2023-03-09 Hugo E. Ramirez , Rafael Serrano

This study investigates the influence of risk tolerance on the expected utility in the long run. We estimate the extent to which the expected utility of optimal portfolios is affected by small changes in the risk tolerance. For this…

Mathematical Finance · Quantitative Finance 2021-04-05 Hyungbin Park

This paper studies the optimal timing to liquidate credit derivatives in a general intensity-based credit risk model under stochastic interest rate. We incorporate the potential price discrepancy between the market and investors, which is…

Pricing of Securities · Quantitative Finance 2013-01-22 Tim Leung , Peng Liu

We extend a linear version of the liquidity risk model of Cetin et al. (2004) to allow for price impacts. We show that the impact of a market order on prices depends on the size of the transaction and the level of liquidity. We obtain a…

Probability · Mathematics 2009-12-10 Alexandre F. Roch

We provide an extension of the explicit solution of a mixed optimal stopping-optimal stochastic control problem introduced by Henderson and Hobson. The problem examines wether the optimal investment problem on a local martingale financial…

Portfolio Management · Quantitative Finance 2015-02-13 Emilie Fabre , Guillaume Royer , Nizar Touzi

We model the impact costs of a strategy that trades a basket of correlated instruments, by extending to the multivariate case the linear propagator model previously used for single instruments. Our specification allows us to calibrate a…

Trading and Market Microstructure · Quantitative Finance 2017-08-23 Iacopo Mastromatteo , Michael Benzaquen , Zoltan Eisler , Jean-Philippe Bouchaud

We study option prices in financial markets where the risky asset prices are modelled by jump diffusions. It was proposed by Schweizer (1996) in a general semimartingale setting, following earlier works by F\"ollmer and Sondermann (1986)…

Optimization and Control · Mathematics 2021-04-28 Nacira Agram , Bernt Øksendal

We investigate a continuous-time investment-consumption problem with model uncertainty in a general diffusion-based market with random model coefficients. We assume that a power utility investor is ambiguity-averse, with the preference to…

Portfolio Management · Quantitative Finance 2024-07-04 Len Patrick Dominic M. Garces , Yang Shen