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We show that stochastic recovery always leads to counter-intuitive behaviors in the risk measures of a CDO tranche - namely, continuity on default and positive credit spread risk cannot be ensured simultaneously. We then propose a simple…

Pricing of Securities · Quantitative Finance 2010-12-03 Emmanuel Schertzer , Yadong Li , Umer Khan

This paper studies a competitive optimal portfolio selection problem in a model where the interest rate, the appreciation rate and volatility rate of the risky asset are all stochastic processes, thus forming a non-Markovian financial…

Optimization and Control · Mathematics 2024-08-06 Guangchen Wang , Zuo Quan Xu , Panpan Zhang

A multi-dimensional extension of the structural default model with firms' values driven by diffusion processes with Marshall-Olkin-inspired correlation structure is presented. Semi-analytical methods for solving the forward calibration…

Pricing of Securities · Quantitative Finance 2012-06-15 Alexander Lipton , Ioana Savescu

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

We introduce a novel class of credit risk models in which the drift of the survival process of a firm is a linear function of the factors. The prices of defaultable bonds and credit default swaps (CDS) are linear-rational in the factors.…

Mathematical Finance · Quantitative Finance 2019-07-23 Damien Ackerer , Damir Filipović

We address imbalanced classification, the problem in which a label may have low marginal probability relative to other labels, by weighting losses according to the correct class. First, we examine the convergence rates of the expected…

Machine Learning · Statistics 2020-05-28 Ziyu Xu , Chen Dan , Justin Khim , Pradeep Ravikumar

We consider the portfolio optimization with risk measured by conditional value-at-risk, based on the stress event of chosen asset being equal to the opposite of its value-at-risk level, under the normality assumption. Solvability conditions…

Optimization and Control · Mathematics 2017-03-07 Anna Zalewska

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 question of pricing and hedging a given contingent claim has a unique solution in a complete market framework. When some incompleteness is introduced, the problem becomes however more difficult. Several approaches have been adopted in…

Probability · Mathematics 2007-08-08 Pauline Barrieu , Nicole El Karoui

We consider the optimal investment problem when the traded asset may default, causing a jump in its price. For an investor with constant absolute risk aversion, we compute indifference prices for defaultable bonds, as well as a price for…

Mathematical Finance · Quantitative Finance 2017-03-02 Tetsuya Ishikawa , Scott Robertson

In this paper, we investigate risk measures such as value at risk (VaR) and the conditional tail expectation (CTE) of the extreme (maximum and minimum) and the aggregate (total) of two dependent risks. In finance, insurance and the other…

Risk Management · Quantitative Finance 2021-02-01 Suman Thapa , Yiqiang Q. Zhao

We study the optimal investment stopping problem in both continuous and discrete case, where the investor needs to choose the optimal trading strategy and optimal stopping time concurrently to maximize the expected utility of terminal…

Mathematical Finance · Quantitative Finance 2020-05-01 Dingqian Sun

General wrong way risk (WWR) estimation is necessary for regulatory CVA capital and useful for pricing CVA and FVA. We introduce a model independent method for calculating WWR and update the definition of WWR to deal with the lack of…

Pricing of Securities · Quantitative Finance 2021-10-11 Chris Kenyon , Mourad Berrahoui , Benjamin Poncet

Excessive leverage, i.e. the abuse of debt financing, is considered one of the primary factors in the default of financial institutions. Systemic risk results from correlations between individual default probabilities that cannot be…

Risk Management · Quantitative Finance 2013-03-25 Paolo Tasca , Pavlin Mavrodiev , Frank Schweitzer

This paper presents a meta-learning framework for credit risk assessment of Italian Small and Medium Enterprises (SMEs) that explicitly addresses the temporal misalignment of credit scoring models. The approach aligns financial statement…

Risk Management · Quantitative Finance 2026-01-13 O. Didkovskyi , A. Vidali , N. Jean , G. Le Pera

We revisit the problem of pricing and hedging plain vanilla single-currency interest rate derivatives using multiple distinct yield curves for market coherent estimation of discount factors and forward rates with different underlying rate…

Pricing of Securities · Quantitative Finance 2012-08-02 Marco Bianchetti

Transition risk can be defined as the business-risk related to the enactment of green policies, aimed at driving the society towards a sustainable and low-carbon economy. In particular, the value of certain firms' assets can be lower…

Pricing of Securities · Quantitative Finance 2023-03-23 Giulia Livieri , Davide Radi , Elia Smaniotto

In this paper, a geometric function is introduced to reflect the attenuation speed of impact of one firm's default to its partner. If two firms are competitions (copartners), the default intensity of one firm will decrease (increase)…

Risk Management · Quantitative Finance 2008-12-02 Yunfen Bai , Xinhua Hu , Zhongxing Ye

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures…

Risk Management · Quantitative Finance 2011-07-14 Mikhail Voropaev

We study Conditional Value-at-Risk (CVaR) variants of two canonical sequential decision problems: Pandora's box and the prophet inequality. For Pandora's box, the risk-aware problem retains an exact Weitzman-style index solution after a…

Computational Complexity · Computer Science 2026-05-20 Jingwei Ji
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