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A simple graphical model for correlated defaults is proposed, with explicit formulas for the loss distribution. Algebraic geometry techniques are employed to show that this model is well posed for default dependence: it represents any given…

计算金融 · 定量金融 2008-12-10 I. Onur Filiz , Xin Guo , Jason Morton , Bernd Sturmfels

We consider a structural default model in an interconnected banking network as in Lipton [International Journal of Theoretical and Applied Finance, 19(6), 2016], with mutual obligations between each pair of banks. We analyse the model…

计算金融 · 定量金融 2017-01-03 Vadim Kaushansky , Alexander Lipton , Christoph Reisinger

This paper studies the pricing of contingent claims of American style, using indifference pricing by fully dynamic convex risk measures. We provide a general definition of risk-indifference prices for buyers and sellers in continuous time,…

证券定价 · 定量金融 2026-04-07 Rohini Kumar , Frederick "Forrest" Miller , Hussein Nasralah , Stephan Sturm

We consider a risk model where deficits after ruin are covered by a new type of reinsurance contract that provides capital injections. To allow the insurance company's survival after ruin, the reinsurer injects capital only at ruin times…

风险管理 · 定量金融 2018-06-13 Zied Ben Salah , José Garrido

This paper studies the effect of quarterly earnings reports on the stock price. The profitability of the stock is modelled by geometric Brownian diffusion and the Constant Elasticity of Variance model. We fit several variations of…

应用统计 · 统计学 2023-08-23 Daniil Karzanov

We consider the problem of accurately measuring the credit risk of a portfolio consisting of loss exposures such as loans, bonds and other financial assets. We are particularly interested in the probability of large portfolio losses. We…

统计计算 · 统计学 2015-11-03 Kevin Lam , Zdravko Botev

Stochastic differential equation mixed-effects models (SDEMEMs) are flexible hierarchical models that are able to account for random variability inherent in the underlying time-dynamics, as well as the variability between experimental units…

统计计算 · 统计学 2021-01-22 Samuel Wiqvist , Andrew Golightly , Ashleigh T. McLean , Umberto Picchini

In a continuous-time economy, this paper formulates the Epstein-Zin preference for discounted dividends received by an investor as an Epstein-Zin singular control utility. We introduce a backward stochastic differential equation with an…

数理金融 · 定量金融 2026-04-27 Kexin Chen , Kyunghyun Park , Hoi Ying Wong

This paper considers an insurance surplus process modeled by a spectrally negative L\'{e}vy process. Instead of the time of ruin in the traditional setting, we apply the time of drawdown as the risk indicator in this paper. We study the…

证券定价 · 定量金融 2019-06-05 Wenyuan Wang , Ping Chen , Shuanming Li

The proposed model modifies option pricing formulas for the basic case of log-normal probability distribution providing correspondence to formulated criteria of efficiency and completeness. The model is self-calibrating by historic…

证券定价 · 定量金融 2008-12-02 Pavel Levin

This paper presents a new copula to model dependencies between insurance entities, by considering how insurance entities are affected by both macro and micro factors. The model used to build the copula assumes that the insurance losses of…

统计理论 · 数学 2014-11-03 Samiha Ismail , Gao Yu , Gesine Reinert , Trevor Maynard

We build a general model for pricing defaultable claims. In addition to the usual absence of arbitrage assumption, we assume that one defaultable asset (at least) looses value when the default occurs. We prove that under this assumption, in…

证券定价 · 定量金融 2010-05-04 Delia Coculescu

We consider an insurance company whose surplus is represented by the classical Cramer-Lundberg process. The company can invest its surplus in a risk free asset and in a risky asset, governed by the Black-Scholes equation. There is a…

投资组合管理 · 定量金融 2011-12-20 Tatiana Belkina , Christian Hipp , Shangzhen Luo , Michael Taksar

We study optimal reinsurance in the framework of stochastic game theory, in which there is an insurer and two reinsurers. A Stackelberg model is established to analyze the non-cooperative relationship between the insurer and reinsurers,…

数理金融 · 定量金融 2023-05-02 Liyuan Lin , Fangda Liu , Jingzhen Liu abd Luyang Yu

The purpose of the present paper is to incorporate stochastic interest rates into a matrix-approach to multi-state life insurance, where formulas for reserves, moments of future payments and equivalence premiums can be obtained as explicit…

风险管理 · 定量金融 2022-11-18 Jamaal Ahmad , Mogens Bladt

In the paper, we use and investigate copulas models to represent multivariate dependence in financial time series. We propose the algorithm of risk measure computation using copula models. Using the optimal mean-$CVaR$ portfolio we compute…

风险管理 · 定量金融 2017-07-13 Mikhail Semenov , Daulet Smagulov

We introduce a novel bivariate copula model able to capture both the central and tail dependence of the joint probability distribution. Model that can capture the dependence structure within the joint tail have important implications in…

统计方法学 · 统计学 2025-08-01 Maria Concepción Ausín , Maria Kalli

In this paper, we consider a generic interest rate market in the presence of roll-over risk, which generates spreads in spot/forward term rates. We do not require classical absence of arbitrage and rely instead on a minimal market viability…

证券定价 · 定量金融 2023-10-06 Claudio Fontana , Simone Pavarana , Wolfgang J. Runggaldier

We study the optimal dividend problem for a firm's manager who has partial information on the profitability of the firm. The problem is formulated as one of singular stochastic control with partial information on the drift of the underlying…

概率论 · 数学 2019-04-02 Tiziano De Angelis

In this paper, we address risk aggregation and capital allocation problems in the presence of dependence between risks. The dependence structure is defined by a mixed Bernstein copula which represents a generalization of the well-known…

风险管理 · 定量金融 2021-03-23 Fouad Marri , Khouzeima Moutanabbir
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