arXiv · arXiv q-fin · 2024
Securitization is a financial process where the cash flows of income-generating assets are sold to institutional investors as securities, liquidating illiquid assets. This practice presents persistent challenges due to the absence of a comprehensive mathematical framework for structuring asset-backed securities. While existing literature provides technical analysis of credit risk modeling, there remains a need for a …
Andrea Pinto, Antonio Scala
arXiv · arXiv q-fin · 2020
Securitization has become prevalent in many countries, and has substantial impact on government monetary policy and fiscal policy which have not yet been adequately analyzed in the existing literature. This article develops optimal conditions for efficient securitization, identifies constraints on securitization, and analyzes the interactions of capital-reserve requirements and securitization. This article introduces…
Michael C. Nwogugu
arXiv · arXiv q-fin · 2018
This paper addresses the risk-minimization problem, with and without mortality securitization, à la Föllmer-Sondermann for a large class of equity-linked mortality contracts when no model for the death time is specified. This framework includes the situation where the correlation between the market model and the time of death is arbitrary general, and hence leads to the case of a market model where there are two leve…
Tahir Choulli, Catherine Daveloose, Michèle Vanmaele
arXiv · arXiv q-fin · 2006
This econophysics work studies the long-range Ising model of a finite system with $N$ spins and the exchange interaction $\frac{J}{N}$ and the external field $H$ as a modely for homogeneous credit portfolio of assets with default probability $P_{d}$ and default correlation $ρ_{d}$. Based on the discussion on the $(J,H)$ phase diagram, we develop a perturbative calculation method for the model and obtain explicit expr…
K. Kitsukawa, S. Mori, M. Hisakado
arXiv · arXiv q-fin · 2022
Prudent management of insurance investment portfolios requires competent asset pricing of fixed-income assets with time-to-event contingent cash flows, such as consumer asset-backed securities (ABS). Current market pricing techniques for these assets either rely on a non-random time-to-event model or may not utilize detailed asset-level data that is now available with most public transactions. We first establish a fr…
Jackson P. Lautier, Vladimir Pozdnyakov, Jun Yan
arXiv · arXiv q-fin · 2017
Haircutting non-cash collateral has become a key element of the post-crisis reform of the shadow banking system and OTC derivatives markets. This article develops a parametric haircut model by expanding haircut definitions beyond the traditional value-at-risk measure and employing a double-exponential jump-diffusion model for collateral market risk. Haircuts are solved to target credit risk measurements, including pr…
Wujiang Lou
arXiv · arXiv q-fin · 2021
Crime can have a volatile impact on investments. Despite the potential importance of crime rates in investments, there are no indices dedicated to evaluating the financial impact of crime in the United States. As such, this paper presents an index-based insurance portfolio for crime in the United States by utilizing the financial losses reported by the Federal Bureau of Investigation for property crimes and cybercrim…
Thilini Mahanama, Abootaleb Shirvani, Svetlozar Rachev
arXiv · arXiv q-fin · 2017
Prior to the financial crisis mortgage securitization models increased in sophistication as did products built to insure against losses. Layers of complexity formed upon a foundation that could not support it and as the foundation crumbled the housing market followed. That foundation was the Gaussian copula which failed to correctly model failure-time correlations of derivative securities in duress. In retirement, su…
Christopher J. Rook
arXiv · arXiv q-fin · 2015
We consider a market model where there are two levels of information. The public information generated by the financial assets, and a larger flow of information that contains additional knowledge about a random time. This random time can represent many economic and financial settings, such as the default time of a firm for credit risk, and the death time of an insured for life insurance. By using the expansion of fil…
Tahir Choulli, Catherine Daveloose, Michèle Vanmaele
arXiv · arXiv q-fin · 2013
We show how to restructure the counterparty risk faced by the originator of a securitization or covered bond arising from an interest rate hedging swap assisted by a "one-way" collateral agreement. This risk emerges when the swap is negotiated between the special purpose vehicle and a third party that covers itself through a back-to-back swap with the originator. We show that the counterparty risk of the originator m…
Lorenzo Giada, Claudio Nordio
arXiv · arXiv q-fin · 2009
In this paper we consider a class of BSDEs with drivers of quadratic growth, on a stochastic basis generated by continuous local martingales. We first derive the Markov property of a forward--backward system (FBSDE) if the generating martingale is a strong Markov process. Then we establish the differentiability of a FBSDE with respect to the initial value of its forward component. This enables us to obtain the main r…
Peter Imkeller, Anthony Réveillac, Anja Richter
arXiv · arXiv q-fin · 2022
The standard approach for compensating liquidity providers on many decentralized exchanges (DEX) for serving as counter-party to swaps is through charging a small percentage of fees. The expected payoff from the cash flow of this mode of market making has yet to be mathematically formulated in terms of volatility in the existing literature. We provide here a preliminary derivation of the payoff formula, by making the…
Jin Hong Kuan
arXiv · arXiv q-fin · 2019
Recent developments in the literature on financial architecture suggest that banks and markets not only coexist, but also coevolve in ways that are non-neutral from the viewpoint of optimality. This article aims to analyse the concrete mechanisms of this coevolution by focusing on a very relevant case study: Belgium (the first Continental country to industrialize) at the time of the very first emergence of a modern f…
Stefano Ugolini