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This paper develops a two-dimensional structural framework for valuing credit default swaps and corporate bonds in the presence of default contagion. Modelling the values of related firms as correlated geometric Brownian motions with…

Pricing of Securities · Quantitative Finance 2008-12-02 Helen Haworth , Christoph Reisinger , William Shaw

The process of liquidity provision in financial markets can result in prolonged exposure to illiquid instruments for market makers. In this case, where a proprietary position is not desired, pro-actively targeting the right client who is…

Computational Finance · Quantitative Finance 2017-04-28 Dieter Hendricks , Stephen J. Roberts

We study the valuation and hedging problem of European options in a market subject to liquidity shocks. Working within a Markovian regime-switching setting, we model illiquidity as the inability to trade. To isolate the impact of such…

Pricing of Securities · Quantitative Finance 2014-09-10 Michael Ludkovski , Qunying Shen

We introduce a new model for pricing corporate bonds, which is a modification of the classical model of Merton. In this new model, we drop the liquidity assumption of the firm's asset value process, and assume that there is a liquidly…

Pricing of Securities · Quantitative Finance 2019-10-22 Juan Dong , Lyudmila Korobenko , Deniz Sezer

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

In most illiquid markets, there is no obvious proxy for the market price of an asset. The European corporate bond market is an archetypal example of such an illiquid market where mid-prices can only be estimated with a statistical model. In…

Trading and Market Microstructure · Quantitative Finance 2019-03-25 Olivier Guéant , Jiang Pu

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

We consider a financial market with zero-coupon bonds that are exposed to credit and liquidity risk. We revisit the famous Jarrow & Turnbull setting in order to account for these two intricately intertwined risk types. We utilise the…

Mathematical Finance · Quantitative Finance 2020-04-28 Thomas Krabichler , Josef Teichmann

We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firm's ability to avoid default even if company's liabilities momentarily exceeding its assets. Diffusion in a…

Risk Management · Quantitative Finance 2011-01-05 Yuri A. Katz , Nikolai V. Shokhirev

We provide analytical pricing formula of corporate defaultable bond with both expected and unexpected default in the case with stochastic default intensity. In the case with constant short rate and exogenous default recovery using PDE…

Pricing of Securities · Quantitative Finance 2013-11-14 Hyong-Chol O , Ning Wan

Credit risk in the China's bond market has become increasingly evident, creating a progressively escalating risk of default for credit bond investors. Given the current incomplete and inaccurate bond information disclosure, timely tracking…

Risk Management · Quantitative Finance 2023-06-09 Kai Ren

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

This paper studies the application of machine learning in extracting the market implied features from historical risk neutral corporate bond yields. We consider the example of a hypothetical illiquid fixed income market. After choosing a…

Mathematical Finance · Quantitative Finance 2018-06-06 Greg Kirczenow , Ali Fathi , Matt Davison

This paper presents a new model for pricing financial derivatives subject to collateralization. It allows for collateral arrangements adhering to bankruptcy laws. As such, the model can back out the market price of a collateralized…

Pricing of Securities · Quantitative Finance 2018-05-31 Tim Xiao

We present a model for direct semi-parametric estimation of the State Price Density (SPD) implied in quoted option prices. We treat the observed prices as expected values of possible pay-offs at maturity, weighted by the unknown probability…

Applications · Statistics 2021-03-29 Gianluca Frasso , Paul H. C. Eilers

An efficient method to price bonds with optional sinking feature is presented. Such instruments equip their issuer with the option (but not the obligation) to redeem parts of the notional prior to maturity, therefore the future cash flows…

Pricing of Securities · Quantitative Finance 2013-05-23 Jan-Frederik Mai , Marc Wittlinger

In financial markets, accurately measuring the risk of future fluctuations in asset prices is of paramount importance. Studies such as Carr and Madan have shown that the expected value of the quadratic variation of log prices can be…

Mathematical Finance · Quantitative Finance 2026-05-19 Masaaki Fukasawa , Shunta Murayama

I develop a tractable adverse-selection model comparing secured bank loans and bonds when both pledge collateral but differ in effective liquidation efficiency. A small wedge in recovery rates generates coexistence, a sharp bank-bond…

Theoretical Economics · Economics 2025-12-01 Georgy Lukyanov

This paper is a contribution to the Proceedings of the Workshop Complexity, Metastability and Nonextensivity held in Erice 20-26 July 2004, to be published by World Scientific. We propose a generalization to Merton's model for evaluating…

Other Condensed Matter · Physics 2017-08-23 Lisa Borland , Jeremy Evnine , Benoit Pochart

Paper is based on "The cost of illiquidity and its effects on hedging", L. C. G. Rogers and Surbjeet Singh, 2010. We generalize its thesis to constant elasticity model, which own previously used Black-Schoels model as a special case. The…

Mathematical Finance · Quantitative Finance 2014-09-23 Krzysztof Turek