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We investigate the impact of available information on the estimation of the default probability within a generalized structural model for credit risk. The traditional structural model where default is triggered when the value of the firm's…

Pricing of Securities · Quantitative Finance 2019-11-19 Imke Redeker , Ralf Wunderlich

We derive an explicit asymptotic approximation for the implied volatilities of Call options written on bonds assuming the short-rate is described by an affine short-rate model. For specific affine short-rate models, we perform numerical…

Mathematical Finance · Quantitative Finance 2021-06-09 Matthew Lorig , Natchanon Suaysom

In this paper we study the pricing and hedging problem of a portfolio of life insurance products under the benchmark approach, where the reference market is modelled as driven by a state variable following a polynomial diffusion on a…

Mathematical Finance · Quantitative Finance 2016-09-26 Francesca Biagini , Yinglin Zhang

We consider a two-factor model for the valuation of a non callable defaultable bond which pays coupons at certain given dates. The model under consideration is the Jump to Default Constant Elasticity of Variance (JDCEV) model. The JDCEV…

Computational Finance · Quantitative Finance 2019-05-06 M. C. Calvo-Garrido , S. Diop , A. Pascucci , C. Vázquez

In this three-part series of papers, we argue that the conventional spread measures are not well defined for credit-risky bonds and introduce a set of credit term structures which correct for the biases associated with the strippable cash…

Pricing of Securities · Quantitative Finance 2009-12-24 Arthur M. Berd , Roy Mashal , Peili Wang

Life expectancy have been increasing over the past years due to better health care, feeding and conducive environment. To manage future uncertainty related to life expectancy, various insurance institutions have resolved to come up with…

Mathematical Finance · Quantitative Finance 2020-11-26 Georgina Onuma Kalu , Chinemerem Dennis Ikpe , Benjamin Ifeanyichukwu Oruh , Samuel Asante Gyamerah

We extend the Vasi\v{c}ek loan portfolio model to a setting where liabilities fluctuate randomly and asset values may be subject to systemic jump risk. We derive the probability distribution of the percentage loss of a uniform portfolio and…

Risk Management · Quantitative Finance 2010-06-07 Luis H. R. Alvarez , Jani Sainio

After the beginning of the credit and liquidity crisis, financial institutions have been considering creating a convertible-bond type contract focusing on Capital. Under the terms of this contract, a bond is converted into equity if the…

Pricing of Securities · Quantitative Finance 2013-02-28 Damiano Brigo , João Garcia , Nicola Pede

This paper presents a convenient framework for modeling default process and pricing derivative securities involving credit risk. The framework provides an integrated view of credit valuation adjustment by linking distance-to-default,…

Pricing of Securities · Quantitative Finance 2023-09-08 David Xiao

Pricing formulae for defaultable corporate bonds with discrete coupons under consideration of the government taxes in the united model of structural and reduced form models are provided. The aim of this paper is to generalize the…

Pricing of Securities · Quantitative Finance 2013-10-22 Hyong-Chol O , Song-Yon Kim , Dong-Hyok Kim , Chol-Hyok Pak

We price and replicate a variety of claims written on the log price $X$ and quadratic variation $[X]$ of a risky asset, modeled as a positive semimartingale, subject to stochastic volatility and jumps. The pricing and hedging formulas do…

Mathematical Finance · Quantitative Finance 2021-07-02 Peter Carr , Roger Lee , Matthew Lorig

This paper describes a general approach for stochastic modeling of assets returns and liability cash-flows of a typical pensions insurer. On the asset side, we model the investment returns on equities and various classes of fixed-income…

Risk Management · Quantitative Finance 2020-05-27 Sergio Alvares Maffra , John Armstrong , Teemu Pennanen

This paper presents the experimental process and results of SVM, Gradient Boosting, and an Attention-GRU Hybrid model in predicting the Implied Volatility of rolled-over five-year spread contracts of credit default swaps (CDS) on European…

Computational Finance · Quantitative Finance 2024-08-29 Robert Taylor

We introduce a random forest approach to enable spreads' prediction in the primary catastrophe bond market. We investigate whether all information provided to investors in the offering circular prior to a new issuance is equally important…

Pricing of Securities · Quantitative Finance 2020-01-29 Despoina Makariou , Pauline Barrieu , Yining Chen

Interpretability analysis methods for artificial intelligence models, such as LIME and SHAP, are widely used, though they primarily serve as post-model for analyzing model outputs. While it is commonly believed that the transparency and…

General Finance · Quantitative Finance 2025-02-28 Yan Zhang , Lin Chen , Yixiang Tian

This paper performs the numerical analysis and the computation of a Spread option in a market with imperfect liquidity. The number of shares traded in the stock market has a direct impact on the stock's price. Thus, we consider a…

Pricing of Securities · Quantitative Finance 2016-11-25 Ahmad Reza Yazdanian , T A Pirvu

In this paper we compare two classical one-factor diffusion models which are used to model the term structure of interest rates. One of them is based on the Wiener-Bachelier process while the second one is based on the Ornstein-Uhlenbeck…

Pricing of Securities · Quantitative Finance 2008-12-02 Edward W. Piotrowski , Malgorzata Schroeder , Anna Szczypinska

This paper develops a model of liquidity provision in financial markets by adapting the Madhavan, Richardson, and Roomans (1997) price formation model to realistic order books with quote discretization and liquidity rebates. We postulate…

Trading and Market Microstructure · Quantitative Finance 2016-08-08 Julius Bonart , Fabrizio Lillo

Credit Value Adjustment (CVA) is the difference between the value of the default-free and credit-risky derivative portfolio, which can be regarded as the cost of the credit hedge. Default probabilities are therefore needed, as input…

Mathematical Finance · Quantitative Finance 2018-06-21 Ola Hammarlid , Marta Leniec

We propose an efficient method to evaluate callable and putable bonds under a wide class of interest rate models, including the popular short rate diffusion models, as well as their time changed versions with jumps. The method is based on…

Pricing of Securities · Quantitative Finance 2012-06-25 Dongjae Lim , Lingfei Li , Vadim Linetsky