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A model is developed to assess the profitability of loans or mortgages with a specified repayment schedule. Financial institutions face two competing risks: default and prepayment, both influenced by the stochastic evolution of credit…

风险管理 · 定量金融 2025-08-12 Quirini Lorenzo , Vannucci Luigi , Quirini Giovanni

Learning the joint dependence of discrete variables is a fundamental problem in machine learning, with many applications including prediction, clustering and dimensionality reduction. More recently, the framework of copula modeling has…

机器学习 · 统计学 2013-11-15 Alfredo Kalaitzis , Ricardo Silva

Key to effective generic, or "black-box", variational inference is the selection of an approximation to the target density that balances accuracy and speed. Copula models are promising options, but calibration of the approximation can be…

统计方法学 · 统计学 2022-07-01 Michael Stanley Smith , Rubén Loaiza-Maya

We introduce an arbitrage-free framework for robust valuation adjustments. An investor trades a credit default swap portfolio with a risky counterparty, and hedges credit risk by taking a position in defaultable bonds. The investor does not…

证券定价 · 定量金融 2020-02-25 Maxim Bichuch , Agostino Capponi , Stephan Sturm

Financial contagion has been widely recognized as a fundamental risk to the financial system. Particularly potent is price-mediated contagion, wherein forced liquidations by firms depress asset prices and propagate financial stress,…

计算金融 · 定量金融 2023-10-06 Zhiyu Cao , Zihan Chen , Prerna Mishra , Hamed Amini , Zachary Feinstein

We study a risk-sharing economy where an arbitrary number of heterogenous agents trades an arbitrary number of risky assets subject to quadratic transaction costs. For linear state dynamics, the forward-backward stochastic differential…

综合金融 · 定量金融 2020-11-30 Johannes Muhle-Karbe , Xiaofei Shi , Chen Yang

Given the univariate marginals of a real-valued, continuous-time martingale, (respectively, a family of measures parameterised by $t \in [0,T]$ which is increasing in convex order, or a double continuum of call prices) we construct a family…

概率论 · 数学 2015-05-15 David Hobson

Gaussian graphical models (GGMs) are well-established tools for probabilistic exploration of dependence structures using precision matrices. We develop a Bayesian method to incorporate covariate information in this GGMs setup in a nonlinear…

We consider evaluation methods for payoffs with an inherent financial risk as encountered for instance for portfolios held by pension funds and insurance companies. Pricing such payoffs in a way consistent to market prices typically…

证券定价 · 定量金融 2014-04-04 Mitja Stadje , Antoon Pelsser

Estimation of the covariance matrix of asset returns is crucial to portfolio construction. As suggested by economic theories, the correlation structure among assets differs between emerging markets and developed countries. It is therefore…

统计方法学 · 统计学 2021-09-28 Xin Chen , Dan Yang , Yan Xu , Yin Xia , Dong Wang , Haipeng Shen

We define a copula process which describes the dependencies between arbitrarily many random variables independently of their marginal distributions. As an example, we develop a stochastic volatility model, Gaussian Copula Process Volatility…

统计方法学 · 统计学 2010-06-24 Andrew Gordon Wilson , Zoubin Ghahramani

In the framework of Black-Scholes-Merton model of financial derivatives, a path integral approach to option pricing is presented. A general formula to price European path dependent options on multidimensional assets is obtained and…

其他凝聚态物理 · 物理学 2008-12-02 G. Bormetti , G. Montagna , N. Moreni , O. Nicrosini

This paper prices and replicates the financial derivative whose payoff at $T$ is the wealth that would have accrued to a $\$1$ deposit into the best continuously-rebalanced portfolio (or fixed-fraction betting scheme) determined in…

证券定价 · 定量金融 2019-06-06 Alex Garivaltis

Motivated by modern data forms such as images and multi-view data, the multi-attribute graphical model aims to explore the conditional independence structure among vectors. Under the Gaussian assumption, the conditional independence between…

机器学习 · 统计学 2024-04-11 Qi Zhang , Bing Li , Lingzhou Xue

In this study, we propose a new formula for spread option pricing with the dependence of two assets described by a copula function. The advantage of the proposed method is that it requires only the numerical evaluation of a one-dimensional…

证券定价 · 定量金融 2023-08-31 Edoardo Berton , Lorenzo Mercuri

The Gaussian graphical model (GGM) incorporates an undirected graph to represent the conditional dependence between variables, with the precision matrix encoding partial correlation between pair of variables given the others. To achieve…

统计方法学 · 统计学 2023-07-03 Yueqi Qian , Xianghong Hu , Can Yang

The time-evolving precision matrix of a piecewise-constant Gaussian graphical model encodes the dynamic conditional dependency structure of a multivariate time-series. Traditionally, graphical models are estimated under the assumption that…

统计方法学 · 统计学 2017-11-01 Alexander J. Gibberd , James D. B. Nelson

Consistent Recalibration models (CRC) have been introduced to capture in necessary generality the dynamic features of term structures of derivatives' prices. Several approaches have been suggested to tackle this problem, but all of them,…

计算金融 · 定量金融 2021-07-02 Matteo Gambara , Josef Teichmann

This paper addresses the challenges of pricing exotic options and structured products, which traditional models often fail to handle due to their inability to capture real-world market phenomena like fat-tailed distributions and volatility…

证券定价 · 定量金融 2025-09-18 Helin Zhao , Junchi Shen

We consider a dynamic pricing problem where customer response to the current price is impacted by the customer price expectation, aka reference price. We study a simple and novel reference price mechanism where reference price is the…

机器学习 · 计算机科学 2024-07-23 Shipra Agrawal , Wei Tang