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We present a detailed analysis of interest rate derivatives valuation under credit risk and collateral modeling. We show how the credit and collateral extended valuation framework in Pallavicini et al (2011), and the related collateralized…

Pricing of Securities · Quantitative Finance 2015-09-15 Giacomo Bormetti , Damiano Brigo , Marco Francischello , Andrea Pallavicini

The Basel II internal ratings-based (IRB) approach to capital adequacy for credit risk plays an important role in protecting the Australian banking sector against insolvency. We outline the mathematical foundations of regulatory capital for…

Risk Management · Quantitative Finance 2016-07-26 Marek Rutkowski , Silvio Tarca

Credit risk assessment is a crucial aspect of financial decision-making, enabling institutions to predict the likelihood of default and make informed lending decisions. Two prominent methodologies in credit risk modeling are logistic…

Applications · Statistics 2026-04-30 Cheng Lee , Hsi Lee

Cost-of-capital valuation is a well-established approach to the valuation of liabilities and is one of the cornerstones of current regulatory frameworks for the insurance industry. Standard cost-of-capital considerations typically rely on…

Risk Management · Quantitative Finance 2026-05-13 Hansjörg Albrecher , Filip Lindskog , Hervé Zumbach

The lifetime behaviour of loans is notoriously difficult to model, which can compromise a bank's financial reserves against future losses, if modelled poorly. Therefore, we present a data-driven comparative study amongst three techniques in…

Risk Management · Quantitative Finance 2026-04-22 Arno Botha , Tanja Verster , Roland Breedt

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

Viewing a yield curve as a sparse collection of measurements on a latent continuous random function allows us to model it statistically as a sparsely observed functional time series. Doing so, we use the state-of-the-art methods in…

Applications · Statistics 2020-07-07 Tomáš Rubín

With $P_t$ the price in current dollars of a dollar delivered $t$ time units from now, we assume that $P$ is a decreasing function defined for $t \in \mathbb{R}_+$ with $P_0 = 1$. The negative logarithmic derivative, $-…

Dynamical Systems · Mathematics 2024-03-21 Ethan Akin , Morton Davis

By building on a recently introduced genetic-inspired attribute-based conceptual framework for safety risk analysis, we propose a novel methodology to compute construction univariate and bivariate construction safety risk at a situational…

Applications · Statistics 2016-09-27 Antoine J. -P. Tixier , Matthew R. Hallowell , Balaji Rajagopalan

This paper focuses on the developing of high-dimensional risk models to construct portfolios of securities in the US stock exchange. Investors seek to gain the highest profits and lowest risk in capital markets. We have developed various…

Portfolio Management · Quantitative Finance 2024-07-23 Maysam Khodayari Gharanchaei , Prabhu Prasad Panda , Xilin Chen

Accurate forecasting of zero coupon bond yields for a continuum of maturities is paramount to bond portfolio management and derivative security pricing. Yet a universal model for yield curve forecasting has been elusive, and prior attempts…

Applications · Statistics 2012-09-28 Spencer Hays , Haipeng Shen , Jianhua Z. Huang

In the analysis of commodity futures, it is commonly assumed that futures prices are driven by two latent factors: short-term fluctuations and long-term equilibrium price levels. In this study, we extend this framework by introducing a…

Statistical Finance · Quantitative Finance 2024-12-10 Peilun He , Gareth W. Peters , Nino Kordzakhia , Pavel V. Shevchenko

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

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

Markovian credit migration models are a reasonably standard tool nowadays, but there are fundamental difficulties with calibrating them. We show how these are resolved using a simplified form of matrix generator and explain why risk-neutral…

Risk Management · Quantitative Finance 2021-02-05 Richard J. Martin

The general problem of asset pricing when the discount rate differs from the rate at which an asset's cash flows accrue is considered. A pricing kernel framework is used to model an economy that is segmented into distinct markets, each…

Mathematical Finance · Quantitative Finance 2018-02-19 Andrea Macrina , Obeid Mahomed

Generative classifiers are constructed on the basis of a joint probability distribution and are typically learned using closed-form procedures that rely on data statistics and maximize scores related to data fitting. However, these scores…

Machine Learning · Computer Science 2025-03-31 Aritz Pérez , Carlos Echegoyen , Guzmán Santafé

The most recent financial upheavals have cast doubt on the adequacy of some of the conventional quantitative risk management strategies, such as VaR (Value at Risk), in many common situations. Consequently, there has been an increasing need…

Machine Learning · Computer Science 2018-04-17 Gelin Gao , Bud Mishra , Daniele Ramazzotti

We derive simple return models for several classes of bond portfolios. With only one or two risk factors our models are able to explain most of the return variations in portfolios of fixed rate government bonds, inflation linked government…

Statistical Finance · Quantitative Finance 2010-11-16 Matti Koivu , Teemu Pennanen

The use of cumulative incidence functions for characterizing the risk of one type of event in the presence of others has become increasingly popular over the past decade. The problems of modeling, estimation and inference have been treated…

Methodology · Statistics 2020-11-16 Youngjoo Cho , Annette M. Molinaro , Chen Hu , Robert L. Strawderman