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This paper deals with applications of coherent risk measures to pricing in incomplete markets. Namely, we study the No Good Deals pricing technique based on coherent risk. Two forms of this technique are presented: one defines a good deal…

Probability · Mathematics 2008-12-02 Alexander S. Cherny

This paper builds on "Collective Arbitrage and the Value of Cooperation" by Biagini et al. (2025, forthcoming in "Finance and Stochastics"), which introduced in discrete time the notions of collective arbitrage and super-replication in a…

Mathematical Finance · Quantitative Finance 2025-03-19 Alessandro Doldi , Marco Frittelli , Marco Maggis

Bilateral trade models the task of intermediating between two strategic agents, a seller and a buyer, willing to trade a good for which they hold private valuations. We study this problem from the perspective of a broker, in a regret…

Computer Science and Game Theory · Computer Science 2025-09-29 Simone Di Gregorio , Paul Dütting , Federico Fusco , Chris Schwiegelshohn

Top trading cycles with fixed tie-breaking (TTC) has been suggested to deal with indifferences in object allocation problems. Unfortunately, under general indifferences, TTC is neither Pareto efficient nor group strategy-proof. Furthermore,…

Theoretical Economics · Economics 2026-02-03 Will Sandholtz , Andrew Tai

In this paper we study the pricing and hedging of structured products in energy markets, such as swing and virtual gas storage, using the exponential utility indifference pricing approach in a general incomplete multivariate market model…

Mathematical Finance · Quantitative Finance 2016-02-23 Giorgia Callegaro , Luciano Campi , Valeria Giusto , Tiziano Vargiolu

Markets efficiency implies that the stock returns are intrinsically unpredictable, a property that makes markets comparable to random number generators. We present a novel methodology to investigate ultra-high frequency financial data and…

Statistical Finance · Quantitative Finance 2025-11-24 Silvia Onofri , Andrey Shternshis , Stefano Marmi

We consider the optimal investment problem when the traded asset may default, causing a jump in its price. For an investor with constant absolute risk aversion, we compute indifference prices for defaultable bonds, as well as a price for…

Mathematical Finance · Quantitative Finance 2017-03-02 Tetsuya Ishikawa , Scott Robertson

This paper deals with the super-replication of non path-dependent European claims under additional convex constraints on the number of shares held in the portfolio. The corresponding super-replication price of a given claim has been widely…

Pricing of Securities · Quantitative Finance 2013-07-24 Jean-François Chassagneux , Romuald Elie , Idris Kharroubi

In this paper, I consider a simple heterogeneous agents model of a production economy with uncertain climate change and examine constrained efficient carbon taxation. If there are frictionless, complete financial markets, the simple model…

General Economics · Economics 2022-10-18 Felix Kübler

This paper prices and replicates the financial derivative whose payoff at $T$ is the wealth that would have accrued to a $\$1$ deposit into the best continuously-rebalanced portfolio (or fixed-fraction betting scheme) determined in…

Pricing of Securities · Quantitative Finance 2019-06-06 Alex Garivaltis

In a discrete time setting, we study the central problem of giving a fair price to some financial product. For several decades, the no-arbitrage conditions and the martingale measures have played a major role for solving this problem. We…

Mathematical Finance · Quantitative Finance 2021-04-07 Laurence Carassus , Emmanuel Lépinette

We consider a continuous-time financial market that consists of securities available for dynamic trading, and securities only available for static trading. We work in a robust framework where a set of non-dominated models is given. The…

Probability · Mathematics 2016-09-22 Beatrice Acciaio , Martin Larsson

We consider the problem of dynamic buying and selling of shares from a collection of $N$ stocks with random price fluctuations. To limit investment risk, we place an upper bound on the total number of shares kept at any time. Assuming that…

Portfolio Management · Quantitative Finance 2009-09-23 Michael J. Neely

Within the context of multivariate time series segmentation this paper proposes a method inspired by a posteriori optimal trading. After a normalization step time series are treated channel-wise as surrogate stock prices that can be traded…

Machine Learning · Statistics 2023-11-10 Mogens Graf Plessen

We study the most famous example of a large financial market: the Arbitrage Pricing Model, where investors can trade in a one-period setting with countably many assets admitting a factor structure. We consider the problem of maximising…

Portfolio Management · Quantitative Finance 2020-10-06 Laurence Carassus , Miklos Rasonyi

We study the high frequency price dynamics of traded stocks by a model of returns using a semi-Markov approach. More precisely we assume that the intraday return are described by a discrete time homogeneous semi-Markov process and the…

Statistical Finance · Quantitative Finance 2012-08-24 Guglielmo D'Amico , Filippo Petroni

In a model free discrete time financial market, we prove the superhedging duality theorem, where trading is allowed with dynamic and semi-static strategies. We also show that the initial cost of the cheapest portfolio that dominates a…

Mathematical Finance · Quantitative Finance 2016-05-03 Matteo Burzoni , Marco Frittelli , Marco Maggis

We consider an optimal investment problem to maximize expected utility of the terminal wealth, in an illiquid market with search frictions and transaction costs. In the market model, an investor's attempt of transaction is successful only…

Mathematical Finance · Quantitative Finance 2021-08-18 Jin Hyuk Choi , Tae Ung Gang

This paper studies the problem of maximizing the expected utility of terminal wealth for a financial agent with an unbounded random endowment, and with a utility function which supports both positive and negative wealth. We prove the…

Portfolio Management · Quantitative Finance 2008-12-10 Mark Owen , Gordan Zitkovic

Starting from the characterization of the past time evolution of market prices in terms of two fundamental indicators, price velocity and price acceleration, we construct a general classification of the possible patterns characterizing the…

Statistical Mechanics · Physics 2009-10-31 J. V. Andersen , S. Gluzman , D. Sornette