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We consider a general framework of optimal mechanism design under adverse selection and ambiguity about the type distribution of agents. We prove the existence of optimal mechanisms under minimal assumptions on the contract space and prove…

Optimization and Control · Mathematics 2021-03-18 Julio Backhoff-Veraguas , Patrick Beissner , Ulrich Horst

Under the optimal withdrawal strategy of a policyholder, the pricing of variable annuities with Guaranteed Minimum Withdrawal Benefit (GMWB) is an optimal stochastic control problem. The surrender feature available in marketed products…

Pricing of Securities · Quantitative Finance 2015-08-03 Xiaolin Luo , Pavel Shevchenko

We study the power and limitations of posted prices in multi-unit markets, where agents arrive sequentially in an arbitrary order. We prove upper and lower bounds on the largest fraction of the optimal social welfare that can be guaranteed…

Computer Science and Game Theory · Computer Science 2020-02-18 Tomer Ezra , Michal Feldman , Tim Roughgarden , Warut Suksompong

This paper considers the hidden-action model of the principal-agent problem, in which a principal incentivizes an agent to work on a project using a contract. We investigate whether contracts with bounded payments are learnable and…

Computer Science and Game Theory · Computer Science 2024-02-23 Yurong Chen , Zhaohua Chen , Xiaotie Deng , Zhiyi Huang

In a stochastic volatility framework, we find a general pricing equation for the class of payoffs depending on the terminal value of a market asset and its final quadratic variation. This allows a pricing tool for European-style claims…

Pricing of Securities · Quantitative Finance 2012-06-12 Lorenzo Torricelli

In this research, we develop a trading strategy for the discrete-time optimal liquidation problem of large order trading with different market microstructures in an illiquid market. In this framework, the flow of orders can be viewed as a…

Trading and Market Microstructure · Quantitative Finance 2015-12-29 A. Sadoghi , J. Vecer

We investigate the portfolio execution problem under a framework in which volatility and liquidity are both uncertain. In our model, we assume that a multidimensional Markovian stochastic factor drives both of them. Moreover, we model…

Mathematical Finance · Quantitative Finance 2023-08-08 Max O. Souza , Yuri Thamsten

We investigate expected utility maximization problems from the terminal liquidation value in continuous time in markets with transaction costs and one fixed consistent price system, where a non-concave utility function is defined on the…

Optimization and Control · Mathematics 2024-09-10 Lingqi Gu , Yiqing Lin

We study the problem of pricing variable annuities with a multi-layer expense strategy, under which the insurer charges fees from the policyholder's account only when the account value lies in some pre-specified disjoint intervals, where on…

Probability · Mathematics 2015-12-14 Jiang Zhou , Lan Wu

Our goal in this paper is to study the market impact in a market in which the order flow is autocorrelated. We build a model which explains qualitatively and quantitatively the empirical facts observed so far concerning market impact. We…

Trading and Market Microstructure · Quantitative Finance 2012-12-20 Jonathan Donier

In this article, we combine replication pricing with expectation pricing for derivative trades that are partially collateralized by cash. The derivatives are replicated by underlying assets and cash, using repurchasing agreement (repo) and…

Pricing of Securities · Quantitative Finance 2013-02-05 Lixin Wu

In financial markets, liquidity is not constant over time but exhibits strong seasonal patterns. In this article we consider a limit order book model that allows for time-dependent, deterministic depth and resilience of the book and…

Trading and Market Microstructure · Quantitative Finance 2011-09-14 Antje Fruth , Torsten Schoeneborn , Mikhail Urusov

We study a model of congestible resources, where pricing and scheduling are intertwined. Motivated by the problem of pricing cloud instances, we model a cloud computing service as linked $GI/GI/\cdot$ queuing systems where the provider…

Computer Science and Game Theory · Computer Science 2017-01-09 Vineet Abhishek , Ian A. Kash , Peter Key

This paper is aimed at the stipulations which arise in the traditional online auctions as a result of various anomalies in the reputation and trust calculation mechanism. We try to improve the scalability and efficiency of the online…

Computer Science and Game Theory · Computer Science 2010-07-15 E. Sathiyamoorthy , N. Ch. Sriman Narayana Iyenger , V. Ramachandran

In this paper we consider the pricing of variable annuities (VAs) with guaranteed minimum withdrawal benefits. We consider two pricing approaches, the classical risk-neutral approach and the benchmark approach, and we examine the associated…

Pricing of Securities · Quantitative Finance 2019-06-05 Jin Sun , Kevin Fergusson , Eckhard Platen , Pavel V. Shevchenko

In this paper, we study the price of Variable Annuity Guarantees, especially of Guaranteed Annuity Options (GAO) and Guaranteed Minimum Income Benefit (GMIB), and this in the settings of a derivative pricing model where the underlying spot…

Pricing of Securities · Quantitative Finance 2012-04-04 Griselda Deelstra , Grégory Rayée

Employing probabilistic techniques we compute best possible upper and lower bounds on the price of an option on one or two assets with continuous piecewise linear payoff function based on prices of simple call options of possibly distinct…

Probability · Mathematics 2008-12-02 Dimitris Bertsimas , Natasha Bushueva

New versions of the set-valued average value at risk for multivariate risks are introduced by generalizing the well-known certainty equivalent representation to the set-valued case. The first "regulator" version is independent from any…

Risk Management · Quantitative Finance 2014-05-22 Andreas H. Hamel , Birgit Rudloff , Mihaela Yankova

With model uncertainty characterized by a convex, possibly non-dominated set of probability measures, the agent minimizes the cost of hedging a path dependent contingent claim with given expected success ratio, in a discrete-time,…

Mathematical Finance · Quantitative Finance 2017-09-29 Erhan Bayraktar , Gu Wang

We consider a nonlinear pricing environment with private information. We provide profit guarantees (and associated mechanisms) that the seller can achieve across all possible distributions of willingness to pay of the buyers. With a…

Theoretical Economics · Economics 2023-02-01 Dirk Bergemann , Tibor Heumann , Stephen Morris