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In this paper, we present a novel computational framework for portfolio-wide risk management problems, where the presence of a potentially large number of risk factors makes traditional numerical techniques ineffective. The new method…

Mathematical Finance · Quantitative Finance 2022-12-26 Alessandro Gnoatto , Athena Picarelli , Christoph Reisinger

We present a limits-to-arbitrage model to study the impact of securitization, leverage and credit risk protection on the cyclicity of bank credit. In a stable bank credit situation, no cycles of credit expansion or contraction appear.…

Theoretical Economics · Economics 2019-01-03 Juan Ignacio Peña

This paper develops a decomposition of standard Risk Contribution (RC) into two economically interpretable components: inherent risk and correlation risk. Using a leave-one-out representation, each position's RC separates into a term…

Risk Management · Quantitative Finance 2026-04-14 Nolan Alexander , Frank Fabozzi

The X-valuation adjustment (XVA) problem, which is a recent topic in mathematical finance, is considered and analyzed. First, the basic properties of backward stochastic differential equations (BSDEs) with a random horizon in a…

Mathematical Finance · Quantitative Finance 2020-06-04 Jun Sekine , Akihiro Tanaka

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…

Statistics Theory · Mathematics 2014-11-03 Samiha Ismail , Gao Yu , Gesine Reinert , Trevor Maynard

We introduce a new multiparty cryptographic protocol, which we call `entanglement sharing schemes', wherein a dealer retains half of a maximally-entangled bipartite state and encodes the other half into a multipartite state that is…

Quantum Physics · Physics 2013-03-18 Ran Hee Choi , Ben Fortescue , Gilad Gour , Barry C. Sanders

In secure multi-party computation $n$ parties jointly evaluate an $n$-variate function $f$ in the presence of an adversary which can corrupt up till $t$ parties. Almost all the works that have appeared in the literature so far assume the…

Cryptography and Security · Computer Science 2010-05-28 Shailesh Vaya

In this paper we extend the existing literature on xVA along three directions. First, we enhance current BSDE-based xVA frameworks to include initial margin in presence of defaults. Next, we solve the consistency problem that arises when…

Pricing of Securities · Quantitative Finance 2021-07-07 Francesca Biagini , Alessandro Gnoatto , Immacolata Oliva

In this paper, we consider the problem of equal risk pricing and hedging in which the fair price of an option is the price that exposes both sides of the contract to the same level of risk. Focusing for the first time on the context where…

Optimization and Control · Mathematics 2020-09-17 Saeed Marzban , Erick Delage , Jonathan Yumeng Li

Foreign exchange and credit derivatives increase the bank's contributions to systemic risk. Interest rate derivatives decrease it. The proportion of non-performing loans over total loans and the leverage ratio have stronger impact on…

Risk Management · Quantitative Finance 2022-02-07 Sergio Mayordomo , Maria Rodriguez-Moreno , Juan Ignacio Peña

We introduce a dynamic model of the default waterfall of derivatives CCPs and propose a risk sensitive method for sizing the initial margin (IM), and the default fund (DF) and its allocation among clearing members. Using a Markovian…

Risk Management · Quantitative Finance 2018-03-07 Tomasz R. Bielecki , Igor Cialenco , Shibi Feng

This paper introduces a new semi-parametric approach to the pricing and risk management of bespoke CDO tranches, with a particular attention to bespokes that need to be mapped onto more than one reference portfolio. The only user input in…

Pricing of Securities · Quantitative Finance 2009-10-15 Igor Halperin

We propose a new formal criterion for evaluating secure compilation schemes for unsafe languages, expressing end-to-end security guarantees for software components that may become compromised after encountering undefined behavior---for…

Valuation adjustments are nowadays a common practice to include credit and liquidity effects in option pricing. Funding costs arising from collateral procedures, hedging strategies and taxes are added to option prices to take into account…

Mathematical Finance · Quantitative Finance 2019-06-07 Stefania Gabrielli , Andrea Pallavicini , Stefano Scoleri

Portfolio optimisation typically aims to provide an optimal allocation that minimises risk, at a given return target, by diversifying over different investments. However, the potential scope of such risk diversification can be limited if…

Portfolio Management · Quantitative Finance 2017-05-17 Nonthachote Chatsanga , Andrew J. Parkes

Climate adaptation could yield significant benefits. However, the uncertainty of which future climate scenarios will occur decreases the feasibility of proactively adapting. Climate adaptation projects could be underwritten by benefits paid…

General Finance · Quantitative Finance 2022-07-06 John Nay

This paper investigates calculations of robust funding valuation adjustment (FVA) for over the counter (OTC) derivatives under distributional uncertainty using Wasserstein distance as the ambiguity measure. Wrong way funding risk can be…

Mathematical Finance · Quantitative Finance 2019-10-10 Derek Singh , Shuzhong Zhang

This paper develops an XVA (costs) analysis of centrally cleared trading, parallel to the one that has been developed in the last years for bilateral transactions. We introduce a dynamic framework that incorporates the sequence of…

Risk Management · Quantitative Finance 2017-02-06 Yannick Armenti , Stéphane Crépey

This paper examines the possibility of using derivative-implied risk premia to explain stock returns. The rapid development of derivative markets has led to the possibility of trading various kinds of risks, such as credit and interest rate…

Pricing of Securities · Quantitative Finance 2010-06-01 Florian Steiger

The collateral choice option allows a collateral-posting party the opportunity to change the type of security in which the collateral is deposited. Due to non-zero collateral basis spreads, this optionality significantly impacts asset…

Risk Management · Quantitative Finance 2022-08-17 Griselda Deelstra , Lech A. Grzelak , Felix L. Wolf
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