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This paper presents hedging strategies for European and exotic options in a Levy market. By applying Taylor's Theorem, dynamic hedging portfolios are con- structed under different market assumptions, such as the existence of power jump…

Portfolio Management · Quantitative Finance 2008-12-10 Wing Yan Yip , Sofia Olhede , David Stephens

Regulators require financial institutions to estimate counterparty default risks from liquid CDS quotes for the valuation and risk management of OTC derivatives. However, the vast majority of counterparties do not have liquid CDS quotes and…

Statistical Finance · Quantitative Finance 2017-05-22 Raymond Brummelhuis , Zhongmin Luo

In this paper, we have studied the pricing of a continuously collateralized CDS. We have made use of the "survival measure" to derive the pricing formula in a straightforward way. As a result, we have found that there exists irremovable…

Pricing of Securities · Quantitative Finance 2011-04-12 Masaaki Fujii , Akihiko Takahashi

A model is developed to assess the profitability of loans or mortgages with a specified repayment schedule. Financial institutions face two competing risks: default and prepayment, both influenced by the stochastic evolution of credit…

Risk Management · Quantitative Finance 2025-08-12 Quirini Lorenzo , Vannucci Luigi , Quirini Giovanni

We model the term structure of the forward default intensity and the default density by using L\'evy random fields, which allow us to consider the credit derivatives with an after-default recovery payment. As applications, we study the…

Pricing of Securities · Quantitative Finance 2011-12-14 Lijun Bo , Ying Jiao , Xuewei Yang

This paper studies the optimal timing to liquidate credit derivatives in a general intensity-based credit risk model under stochastic interest rate. We incorporate the potential price discrepancy between the market and investors, which is…

Pricing of Securities · Quantitative Finance 2013-01-22 Tim Leung , Peng Liu

The vast majority of works on option pricing operate on the assumption of risk neutral valuation, and consequently focus on the expected value of option returns, and do not consider risk parameters, such as variance. We show that it is…

Pricing of Securities · Quantitative Finance 2012-04-17 Adi Ben-Meir , Jeremy Schiff

In high-stakes machine learning applications, it is crucial to not only perform well on average, but also when restricted to difficult examples. To address this, we consider the problem of training models in a risk-averse manner. We propose…

Machine Learning · Computer Science 2020-11-09 Sebastian Curi , Kfir. Y. Levy , Stefanie Jegelka , Andreas Krause

We review different approaches for measuring the impact of liquidity on CDS prices. We start with reduced form models incorporating liquidity as an additional discount rate. We review Chen, Fabozzi and Sverdlove (2008) and Buhler and Trapp…

Risk Management · Quantitative Finance 2010-03-23 Damiano Brigo , Mirela Predescu , Agostino Capponi

In this paper we modify the model of Itkin, Shcherbakov and Veygman, (2019) (ISV2019), proposed for pricing Quanto Credit Default Swaps (CDS) and risky bonds, in several ways. First, it is known since the Lehman Brothers bankruptcy that the…

Computational Finance · Quantitative Finance 2019-12-19 Andrey Itkin , Fazlollah Soleymani

The classical risk-neutral newsvendor problem is to decide the order quantity that maximises the expected profit. Some recent works have proposed an alternative model, in which the goal is to minimise the conditional value-at-risk (CVaR), a…

Optimization and Control · Mathematics 2023-08-29 Congzheng Liu , Wenqi Zhu

In this paper we study an optimal portfolio selection problem under instantaneous price impact. Based on some empirical analysis in the literature, we model such impact as a concave function of the trading size when the trading size is…

Probability · Mathematics 2012-12-20 Jin Ma , Qingshuo Song , Jing Xu , Jianfeng Zhang

Valuation adjustments are nowadays a common practice to include credit and liquidity effects in option pricing. Funding costs arising from collateral procedures, hedging strategies and taxes are added to option prices to take into account…

Mathematical Finance · Quantitative Finance 2019-06-07 Stefania Gabrielli , Andrea Pallavicini , Stefano Scoleri

The Value-at-Risk (VaR) and the Expected Shortfall (ES) are the two most popular risk measures in banking and insurance regulation. To bridge between the two regulatory risk measures, the Probability Equivalent Level of VaR-ES (PELVE) was…

Risk Management · Quantitative Finance 2023-06-30 Hirbod Assa , Liyuan Lin , Ruodu Wang

This paper proposes a simple technical approach for the analytical derivation of Point-in-Time PD (probability of default) forecasts, with minimal data requirements. The inputs required are the current and future Through-the-Cycle PDs of…

Risk Management · Quantitative Finance 2022-01-19 Volodymyr Perederiy

We study cash-flow forecasting for derivatives used in liquidity management and clarify its relation to risk-neutral valuation and replication. While it is well known that expectations under different measures (e.g., $\mathbb{P}$ vs.…

Pricing of Securities · Quantitative Finance 2026-05-05 Christian P. Fries

We propose a model for the credit markets in which the random default times of bonds are assumed to be given as functions of one or more independent "market factors". Market participants are assumed to have partial information about each of…

Pricing of Securities · Quantitative Finance 2012-01-31 Dorje C. Brody , Lane P. Hughston , Andrea Macrina

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

Pricing of Securities · Quantitative Finance 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle

The replacement closeout convention has drawn more and more attention since the 2008 financial crisis. Compared with the conventional risk-free closeout, the replacement closeout convention incorporates the creditworthiness of the…

Mathematical Finance · Quantitative Finance 2022-02-01 Chaofan Sun , Ken Seng Tan , Wei Wei

Credit Valuation Adjustment (CVA) pricing models need to be both flexible and tractable. The survival probability has to be known in closed form (for calibration purposes), the model should be able to fit any valid Credit Default Swap (CDS)…

Mathematical Finance · Quantitative Finance 2018-01-18 Cheikh Mbaye , Frédéric Vrins