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The vast majority of the literature on stochastic semidefinite programs (stochastic SDPs) with recourse is concerned with risk-neutral models. In this paper, we introduce mean-risk models for stochastic SDPs and study structural properties…

Optimization and Control · Mathematics 2018-12-27 Matthias Claus , Rüdiger Schultz , Kai Spürkel , Tobias Wollenberg

We prove that the variance swap rate (fair strike) equals the price of a co-terminal European-style contract when the underlying is an exponential Markov process, time-changed by an arbitrary continuous stochastic clock, which has arbitrary…

Mathematical Finance · Quantitative Finance 2019-11-18 Peter Carr , Roger Lee , Matthew Lorig

We consider the fairness in cooperative data exchange (CDE) problem among a set of wireless clients. In this system, each client initially obtains a subset of the packets. They exchange packets in order to reconstruct the entire packet set.…

Information Theory · Computer Science 2015-02-13 Ni Ding , Rodney A. Kennedy , Parastoo Sadeghi

Extracting from shared resources requires making choices to balance personal profit and sustainability. We present the results of a behavioural experiment wherein we manipulate the default extraction from a finite resource. Participants…

Computer Science and Game Theory · Computer Science 2024-03-12 Eladio Montero-Porras , Rémi Suchon , Tom Lenaerts , Elias Fernández Domingos

In this work we study the price-hedge issue for general defaultable contracts characterized by the presence of a contingent CSA of switching type. This is a contingent risk mitigation mechanism that allow the counterparties of a defaultable…

Pricing of Securities · Quantitative Finance 2015-03-02 Giovanni Mottola

We price and replicate a variety of claims written on the log price $X$ and quadratic variation $[X]$ of a risky asset, modeled as a positive semimartingale, subject to stochastic volatility and jumps. The pricing and hedging formulas do…

Mathematical Finance · Quantitative Finance 2021-07-02 Peter Carr , Roger Lee , Matthew Lorig

The paper reviews origins of the approach to pricing derivatives post-crisis by following three papers that have received wide acceptance from practitioners as the theoretical foundations for it - [Piterbarg 2010], [Burgard and Kjaer 2010]…

Pricing of Securities · Quantitative Finance 2018-12-27 Hovik Tumasyan

Balanced and swap-robust minimal trades, introduced in [1], are important for studying the balance and stability of server access request protocols under data popularity changes. Constructions of such trades have so far relied on paired…

Information Theory · Computer Science 2023-03-24 Jin Sima , Chao Pan , Olgica Milenkovic

We design a novel calibration procedure that is designed to handle the specific characteristics of options on cryptocurrency markets, namely large bid-ask spreads and the possibility of missing or incoherent prices in the considered data…

Pricing of Securities · Quantitative Finance 2022-07-08 Mnacho Echenim , Emmanuel Gobet , Anne-Claire Maurice

We derive a backward and forward nonlinear PDEs that govern the implied volatility of a contingent claim whenever the latter is well-defined. This would include at least any contingent claim written on a positive stock price whose payoff at…

Computational Finance · Quantitative Finance 2019-07-18 Peter Carr , Andrey Itkin , Sasha Stoikov

Prior support constrained compressed sensing has of late become popular due to its potential for applications. The existing results on recovery guarantees provide global recovery bounds in the sense that they deal with full support.…

Optimization and Control · Mathematics 2020-07-03 K. Z. Najiya , Munnu Sonkar , C. S. Sastry

We extend the fundamental theorem of asset pricing to a model where the risky stock is subject to proportional transaction costs in the form of bid-ask spreads and the bank account has different interest rates for borrowing and lending. We…

Pricing of Securities · Quantitative Finance 2008-12-02 Alet Roux

Extreme valuation and volatility of cryptocurrencies require investors to diversify often which demands secure exchange protocols. A cross-chain swap protocol allows distrusting parties to securely exchange their assets. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-24 Eric Chan , Marek Chrobak , Mohsen Lesani

The present paper provides a multi-period contagion model in the credit risk field. Our model is an extension of Davis and Lo's infectious default model. We consider an economy of n firms which may default directly or may be infected by…

Risk Management · Quantitative Finance 2010-02-01 Didier Rullière , Diana Dorobantu , Areski Cousin

The problem of estimating the delays and amplitudes of a positive stream of pulses appears in many applications, such as single-molecule microscopy. This paper suggests estimating the delays and amplitudes using a convex program, which is…

Information Theory · Computer Science 2017-01-11 Tamir Bendory

This paper studies a valuation framework for financial contracts subject to reference and counterparty default risks with collateralization requirement. We propose a fixed point approach to analyze the mark-to-market contract value with…

Pricing of Securities · Quantitative Finance 2015-01-27 Jinbeom Kim , Tim Leung

The purpose of this work is to explore the role that arbitrage opportunities play in pricing financial derivatives. We use a non-equilibrium model to set up a stochastic portfolio, and for the random arbitrage return, we choose a stationary…

General Mathematics · Mathematics 2015-06-26 Sergei Fedotov , Stephanos Panayides

We show that, for the purpose of pricing Swaptions, the Swap rate and the corresponding Forward rates can be considered lognormal under a single martingale measure. Swaptions can then be priced as options on a basket of lognormal assets and…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexandre d'Aspremont

We consider a class of sampling-based decomposition methods to solve risk-averse multistage stochastic convex programs. We prove a formula for the computation of the cuts necessary to build the outer linearizations of the recourse…

Optimization and Control · Mathematics 2016-09-12 Vincent Guigues

The paper analyzes the mathematics of the relationship between the default risk and yield-to-maturity of a coupon bond. It is shown that the yield-to-maturity is driven not only by the default probability and recovery rate of the bond but…

Pricing of Securities · Quantitative Finance 2012-04-02 Sara Cecchetti , Antonio Di Cesare