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In an incomplete market setting, we consider two financial agents, who wish to price and trade a non-replicable contingent claim. Assuming that the agents are utility maximizers, we propose a transaction price which is a result of the…

Computational Finance · Quantitative Finance 2012-02-22 Michail Anthropelos , Nikolaos E. Frangos , Stylianos Z. Xanthopoulos , Athanasios N. Yannacopoulos

In an incomplete semimartingale model of a financial market, we consider several risk-averse financial agents who negotiate the price of a bundle of contingent claims. Assuming that the agents' risk preferences are modelled by convex…

Risk Management · Quantitative Finance 2009-01-22 Michail Anthropelos , Gordan Zitkovic

We study utility indifference prices and optimal purchasing quantities for a contingent claim, in an incomplete semi-martingale market, in the presence of vanishing hedging errors and/or risk aversion. Assuming that the average indifference…

Mathematical Finance · Quantitative Finance 2016-09-23 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

We study the problem of determination of asset prices in an incomplete market proposing three different but related scenarios. One scenario uses a market game approach whereas the other two are based on risk sharing or regret minimizing…

Pricing of Securities · Quantitative Finance 2009-03-24 Lampros Boukas , Diogo Pinheiro , Alberto Pinto , Stylianos Xanthopoulos , Athanasios Yannacopoulos

We study utility indifference prices and optimal purchasing quantities for a non-traded contingent claim in an incomplete semi-martingale market with vanishing hedging errors. We make connections with the theory of large deviations. We…

Probability · Mathematics 2016-02-12 Scott Robertson , Konstantinos Spiliopoulos

We study risk-sharing economies where heterogenous agents trade subject to quadratic transaction costs. The corresponding equilibrium asset prices and trading strategies are characterised by a system of nonlinear, fully-coupled…

Portfolio Management · Quantitative Finance 2020-10-01 Martin Herdegen , Johannes Muhle-Karbe , Dylan Possamaï

We study contingent claims in a discrete-time market model where trading costs are given by convex functions and portfolios are constrained by convex sets. In addition to classical frictionless markets and markets with transaction costs or…

Pricing of Securities · Quantitative Finance 2008-12-10 Teemu Pennanen

We price a contingent claim liability using the utility indifference argument. We consider an agent with exponential utility, who invests in a stock and a money market account with the goal of maximizing the utility of his investment at the…

Pricing of Securities · Quantitative Finance 2011-12-14 Maxim Bichuch

This paper studies convex duality in optimal investment and contingent claim valuation in markets where traded assets may be subject to nonlinear trading costs and portfolio constraints. Under fairly general conditions, the dual expressions…

Mathematical Finance · Quantitative Finance 2016-03-10 Teemu Pennanen , Ari-Pekka Perkkiö

We consider budget feasible mechanisms for procurement auctions with additive valuation functions. For the divisible case, where agents can be allocated fractionally, there exists an optimal mechanism with approximation guarantee $e/(e-1)$…

Computer Science and Game Theory · Computer Science 2022-09-02 Sophie Klumper , Guido Schäfer

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

This paper studies the equilibrium price of an asset that is traded in continuous time between N agents who have heterogeneous beliefs about the state process underlying the asset's payoff. We propose a tractable model where agents maximize…

Mathematical Finance · Quantitative Finance 2020-03-26 Johannes Muhle-Karbe , Marcel Nutz , Xiaowei Tan

The existence of a (partial) market equilibrium price is proved in a complete, continuous time finite-agent market setting. The economic agents act as price takers in a fully competitive setting and maximize exponential utility from…

Mathematical Finance · Quantitative Finance 2022-12-01 Alessandro Prosperi

We prove existence and uniqueness of stochastic equilibria in a class of incomplete continuous-time financial environments where the market participants are exponential utility maximizers with heterogeneous risk-aversion coefficients and…

General Finance · Quantitative Finance 2010-06-02 Gordan Zitkovic

This paper develops a theory of competitive equilibrium with indivisible goods based entirely on economic conditions on demand. The key idea is to analyze complementarity and substitutability between bundles of goods, rather than merely…

Theoretical Economics · Economics 2024-12-12 Ravi Jagadeesan , Alexander Teytelboym

Risk-neutral pricing dictates that the discounted derivative price is a martingale in a measure equivalent to the economic measure. The residual ambiguity for incomplete markets is here resolved by minimising the entropy of the price…

Mathematical Finance · Quantitative Finance 2020-07-01 Paul McCloud

We consider indifference pricing of contingent claims consisting of payment flows in a discrete time model with proportional transaction costs and under exponential disutility. This setting covers utility maximisation as a special case. A…

Mathematical Finance · Quantitative Finance 2021-05-25 Alet Roux , Zhikang Xu

In the context of an incomplete market with a Brownian filtration and a fixed finite time horizon, this paper proves that for general dynamic convex risk measures, the buyer's and seller's risk indifference prices of a contingent claim are…

Pricing of Securities · Quantitative Finance 2010-09-08 Xavier De Scheemaekere

We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus intraday sales and their production plus intraday purchases. They have continuously…

Computational Finance · Quantitative Finance 2020-10-20 René Aid , Andrea Cosso , Huyên Pham

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
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