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In the area of sparse recovery, numerous researches hint that non-convex penalties might induce better sparsity than convex ones, but up until now those corresponding non-convex algorithms lack convergence guarantees from the initial…

Information Theory · Computer Science 2014-04-29 Laming Chen , Yuantao Gu

Closed form formulas for swaption prices in HJM model are derived. These formulas are used for nonparametric fit of deterministic forward volatility. It is demonstrated that this formula and non-parametric fit works very well and can be…

Pricing of Securities · Quantitative Finance 2017-04-11 V. M. Belyaev

In the recent years, banks have sold structured products such as worst-of options, Everest and Himalayas, resulting in a short correlation exposure. They have hence become interested in offsetting part of this exposure, namely buying back…

Pricing of Securities · Quantitative Finance 2010-04-02 Antoine Jacquier , Saad Slaoui

This paper considers mutual obligations in the interconnected bank system and analyzes their influence on joint and marginal survival probabilities as well as CDS and FTD prices for the individual banks. To make the role of mutual…

Pricing of Securities · Quantitative Finance 2015-05-11 Andrey Itkin , Alexander Lipton

Recently, in a number of papers it was understood that results on sampling discretization and on the universal sampling discretization can be successfully used in the problem of sampling recovery. Moreover, it turns out that it is…

Numerical Analysis · Mathematics 2024-10-16 Irina Limonova , Yuri Malykhin , Vladimir Temlyakov

Conventional analog-to-digital converters (ADCs) clip when signals exceed their input range. Modulo (unlimited) sampling overcomes this limitation by folding the signal before digitization, but existing recovery methods are either…

Signal Processing · Electrical Eng. & Systems 2025-09-17 Wenyi Yan , Zeyuan Li , Lu Gan , Honqing Liu , Guoquan Li

In this paper, we propose a novel sparse recovery method based on the generalized error function. The penalty function introduced involves both the shape and the scale parameters, making it very flexible. The theoretical analysis results in…

Numerical Analysis · Mathematics 2021-06-04 Zhiyong Zhou

It is well established that in a market with inclusion of a risk-free asset the single-period mean-variance efficient frontier is a straight line tangent to the risky region, a fact that is the very foundation of the classical CAPM. In this…

Portfolio Management · Quantitative Finance 2009-06-08 Chun Hung Chiu , Xun Yu Zhou

In this paper, we employ Credit Default Swaps (CDS) to model the joint and conditional distress probabilities of banks in Europe and the U.S. using factor copulas. We propose multi-factor, structured factor, and factor-vine models where the…

Statistical Finance · Quantitative Finance 2024-01-09 Hoang Nguyen , Audronė Virbickaitė , M. Concepción Ausín , Pedro Galeano

We develop a model for indifference pricing in derivatives markets where price quotes have bid-ask spreads and finite quantities. The model quantifies the dependence of the prices and hedging portfolios on an investor's beliefs, risk…

Pricing of Securities · Quantitative Finance 2018-03-08 John Armstrong , Teemu Pennanen , Udomsak Rakwongwan

We present an arbitrage free theoretical framework for modeling bid and ask prices of dividend paying securities in a discrete time setup using theory of dynamic acceptability indices. In the first part of the paper we develop the theory of…

Pricing of Securities · Quantitative Finance 2014-12-31 Tomasz R. Bielecki , Igor Cialenco , Tao Chen

In a series of recent papers, Damiano Brigo, Andrea Pallavicini, and co-authors have shown that the value of a contract in a Credit Valuation Adjustment (CVA) setting, being the sum of the cash flows, can be represented as a solution of a…

Probability · Mathematics 2020-10-30 Aditi Dandapani , Philip Protter

This paper introduces a novel stochastic model for credit spreads. The stochastic approach leverages the diffusion of default intensities via a CIR++ model and is formulated within a risk-neutral probability space. Our research primarily…

Risk Management · Quantitative Finance 2026-01-09 Mohamed Ben Alaya , Ahmed Kebaier , Djibril Sarr

In this paper, we establish a market model for the term structure of forward inflation rates based on the risk-neutral dynamics of nominal and real zero-coupon bonds. Under the market model, we can price inflation caplets as well as…

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

We study the incentives of banks in a financial network, where the network consists of debt contracts and credit default swaps (CDSs) between banks. One of the most important questions in such a system is the problem of deciding which of…

Risk Management · Quantitative Finance 2020-02-19 Pál András Papp , Roger Wattenhofer

This paper demonstrates a practical method for computing the solution of an expectation-constrained robust maximization problem with immediate applications to model-free no-arbitrage bounds and super-replication values for many financial…

Mathematical Finance · Quantitative Finance 2016-10-06 Christopher W. Miller

A novel procedure is presented for the objective comparison and evaluation of a bank's decision rules in optimising the timing of loan recovery. This procedure is based on finding a delinquency threshold at which the financial loss of a…

Risk Management · Quantitative Finance 2022-03-25 Arno Botha , Conrad Beyers , Pieter de Villiers

Credit Valuation Adjustment captures the difference in the value of derivative contracts when the counterparty default probability is taken into account. However, in the context of a network of contracts, the default probability of a direct…

Risk Management · Quantitative Finance 2023-05-29 Irena Barjašić , Stefano Battiston , Vinko Zlatić

Consider the problem of pricing options on forwards in energy markets, when spot prices follow a geometric multi-factor model in which several rates of mean reversion appear. In this paper we investigate the role played by slow mean…

Mathematical Finance · Quantitative Finance 2016-02-11 Maren Diane Schmeck

We present a quantitative study of the markets and models evolution across the credit crunch crisis. In particular, we focus on the fixed income market and we analyze the most relevant empirical evidences regarding the divergences between…

Pricing of Securities · Quantitative Finance 2012-04-03 Marco Bianchetti , Mattia Carlicchi