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In the paper we study dynamics of the arbitrage prices of credit default swaps within a hazard process model of credit risk. We derive these dynamics without postulating that the immersion property is satisfied between some relevant…

Probability · Mathematics 2009-01-19 Tomasz R. Bielecki , Monique Jeanblanc , Marek Rutkowski

We consider the problem of computing the Credit Value Adjustment ({CVA}) of a European option in presence of the Wrong Way Risk ({WWR}) in a default intensity setting. Namely we model the asset price evolution as solution to a linear…

Computational Finance · Quantitative Finance 2018-11-20 Fabio Antonelli , Alessandro Ramponi , Sergio Scarlatti

We propose a unified structural credit risk model incorporating both insolvency and illiquidity risks, in order to investigate how a firm's default probability depends on the liquidity risk associated with its financing structure. We assume…

Risk Management · Quantitative Finance 2015-04-01 Gechun Liang , Eva Lütkebohmert , Wei Wei

A repurchase agreement lets investors borrow cash to buy securities. Financier only lends to securities' market value after a haircut and charges interest. Repo pricing is characterized with its puzzling dual pricing measures: repo haircut…

Pricing of Securities · Quantitative Finance 2020-07-07 Wujiang Lou

The market practice of extrapolating different term structures from different instruments lacks a rigorous justification in terms of cash flows structure and market observables. In this paper, we integrate our previous consistent theory for…

Pricing of Securities · Quantitative Finance 2013-04-05 Andrea Pallavicini , Damiano Brigo

We propose a novel credit default model that takes into account the impact of macroeconomic information and contagion effect on the defaults of obligors. We use a set-valued Markov chain to model the default process, which is the set of all…

Risk Management · Quantitative Finance 2018-08-31 Dianfa Chen , Jun Deng , Jianfen Feng , Bin Zou

In this letter, I consider the issue of pricing risky debt by following Merton's approach. I generalize Merton's results to the case where the interest rate is modeled by the CIR term structure. Exact closed forms are provided for the risky…

Statistical Mechanics · Physics 2008-12-10 D. F. Wang

Explicitly taking into account the risk incurred when borrowing at a shorter tenor versus lending at a longer tenor ("roll-over risk"), we construct a stochastic model framework for the term structure of interest rates in which a frequency…

Pricing of Securities · Quantitative Finance 2018-09-19 Mesias Alfeus , Martino Grasselli , Erik Schlögl

We study insolvency cascades in an interbank system when banks are allowed to insure their loans with credit default swaps (CDS) sold by other banks. We show that, by properly shifting financial exposures from one institution to another, a…

Risk Management · Quantitative Finance 2017-10-16 Matt V. Leduc , Sebastian Poledna , Stefan Thurner

Bilateral CVA as currently implement has the counterintuitive effect of profiting from one's own widening CDS spreads, i.e. increased risk of default, in practice. The unified picture of CVA and liquidity introduced by Morini & Prampolini…

Pricing of Securities · Quantitative Finance 2010-09-20 Chris Kenyon

The financial industry has undergone a significant transition from the London Interbank Offered Rates (LIBORs) to Risk Free Rates (RFRs) such as, e.g., the Secured Overnight Financing Rate (SOFR) in the U.S. and the Cash Rate (AONIA) in…

Mathematical Finance · Quantitative Finance 2025-11-18 Yining Ding , Ruyi Liu , Marek Rutkowski

Wrong-Way Risk (WWR) is an important component in Funding Valuation Adjustment (FVA) modelling. Yet, the standard assumption is independence between market risks and the counterparty defaults and funding costs. This typical industrial…

Computational Finance · Quantitative Finance 2024-06-07 T. van der Zwaard , L. A. Grzelak , C. W. Oosterlee

This paper investigates whether a financial system can be made more stable if financial institutions share risk by exchanging contingent convertible (CoCo) debt obligations. The question is framed in a financial network model of debt and…

Risk Management · Quantitative Finance 2022-10-27 Zachary Feinstein , T. R. Hurd

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

In this paper we derive robust super- and subhedging dualities for contingent claims that can depend on several underlying assets. In addition to strict super- and subhedging, we also consider relaxed versions which, instead of eliminating…

Mathematical Finance · Quantitative Finance 2017-09-14 Patrick Cheridito , Michael Kupper , Ludovic Tangpi

We develop a model for the dynamic evolution of default-free and defaultable interest rates in a LIBOR framework. Utilizing the class of affine processes, this model produces positive LIBOR rates and spreads, while the dynamics are…

Pricing of Securities · Quantitative Finance 2013-07-15 Zorana Grbac , Antonis Papapantoleon

We consider a financial network represented at any time instance by a random liability graph which evolves over time. The agents connect through credit instruments borrowed from each other or through direct lending, and these create the…

Risk Management · Quantitative Finance 2022-12-23 Indrajit Saha , Veeraruna Kavitha

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

The option is a financial derivative, which is regularly employed in reducing the risk of its underlying securities. However, investing in option is still risky. Such risk becomes much severer for speculators who utilize option as a means…

Risk Management · Quantitative Finance 2017-08-08 Qi-Wen Wang , Jian-Jun Shu

Loan seasoning and inefficient consumer interest rate refinance behavior are well-known for mortgages. Consumer automobile loans, which are collateralized loans on a rapidly depreciating asset, have attracted less attention, however. We…

Statistical Finance · Quantitative Finance 2024-12-24 Jackson P. Lautier , Vladimir Pozdnyakov , Jun Yan
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