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This paper studies the dividend and capital injection problem under a diffusion risk model with general discount functions. A proportional cost is imposed when injecting capitals. For exponential discounting as time-consistent benchmark, we…

数理金融 · 定量金融 2025-05-30 Sang Hu , Zihan Zhou

We study T. Cover's rebalancing option (Ordentlich and Cover 1998) under discrete hindsight optimization in continuous time. The payoff in question is equal to the final wealth that would have accrued to a $\$1$ deposit into the best of…

投资组合管理 · 定量金融 2022-10-24 Alex Garivaltis

We propose a continuous-time model of trading with heterogeneous beliefs. Risk-neutral agents face quadratic costs-of-carry on positions and thus their marginal valuations decrease with the size of their position, as it would be the case…

数理金融 · 定量金融 2019-07-31 Marcel Nutz , José A. Scheinkman

We consider a stochastic game between a trader and a central bank in a target zone market with a lower currency peg. This currency peg is maintained by the central bank through the generation of permanent price impact, thereby aggregating…

数理金融 · 定量金融 2021-02-18 Eyal Neuman , Alexander Schied

We consider hedging of a contingent claim by a 'semi-static' strategy composed of a dynamic position in one asset and static (buy-and-hold) positions in other assets. We give general representations of the optimal strategy and the hedging…

数理金融 · 定量金融 2017-09-19 Paolo Di Tella , Martin Haubold , Martin Keller-Ressel

It is common knowledge that leverage can increase the potential returns of an investment, at the expense of increased risk. For a passive investor in the stock market, leverage can be achieved using margin debt or leveraged-ETFs. We perform…

统计金融 · 定量金融 2021-03-19 Tal Miller

By adopting the polynomial interpolation method, we propose an approach to hedge against the interest-rate risk of the default-free bonds by measuring the nonparallel movement of the yield-curve, such as the translation, the rotation and…

投资组合管理 · 定量金融 2016-11-25 Zhongliang Tuo

We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest in a pre-specified eligible asset to ensure it is adequately capitalized. Most of the literature has focused on…

风险管理 · 定量金融 2014-02-05 Walter Farkas , Pablo Koch-Medina , Cosimo Munari

The aim of this paper is to provide a mathematical contribution on the semi-static hedge of timing risk associated to positions in American-style options under a multi-dimensional market model. Barrier options are considered in the paper…

证券定价 · 定量金融 2017-01-23 Jiro Akahori , Flavia Barsotti , Yuri Imamura

We study capital requirements for bounded financial positions defined as the minimum amount of capital to invest in a chosen eligible asset targeting a pre-specified acceptability test. We allow for general acceptance sets and general…

风险管理 · 定量金融 2014-01-16 Walter Farkas , Pablo Koch-Medina , Cosimo Munari

We propose a new `hedged' Monte-Carlo (HMC) method to price financial derivatives, which allows to determine simultaneously the optimal hedge. The inclusion of the optimal hedging strategy allows one to reduce the financial risk associated…

凝聚态物理 · 物理学 2007-05-23 Marc Potters , Jean-Philippe Bouchaud , Dragan Sestovic

Currently, pension providers are running into trouble mainly due to the ultra-low interest rates and the guarantees associated to some pension benefits. With the aim of reducing the pension volatility and providing adequate pension levels…

风险管理 · 定量金融 2020-08-07 M. Carmen Boado-Penas , Julia Eisenberg , Paul Krühner

The usual theory of asset pricing in finance assumes that the financial strategies, i.e. the quantity of risky assets to invest, are real-valued so that they are not integer-valued in general, see the Black and Scholes model for instance.…

证券定价 · 定量金融 2023-11-16 Dorsaf Cherif , Meriam El Mansour , Emmanuel Lepinette

In this paper we propose a general framework for modeling an insurance liability cash flow in continuous time, by generalizing the reduced-form framework for credit risk and life insurance. In particular, we assume a nontrivial dependence…

数理金融 · 定量金融 2022-06-30 Francesca Biagini , Yinglin Zhang

A variable annuity is an equity-linked financial product typically offered by insurance companies. The policyholder makes an upfront payment to the insurance company and, in return, the insurer is required to make a series of payments…

证券定价 · 定量金融 2019-11-25 Riley Jones , Adriana Ocejo

A risk-neutral valuation framework is developed for pricing and hedging in-play football bets based on modelling scores by independent Poisson processes with constant intensities. The Fundamental Theorems of Asset Pricing are applied to…

交易与市场微观结构 · 定量金融 2018-11-12 Sebastian del Bano Rollin , Zsolt Bihari , Tomaso Aste

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…

风险管理 · 定量金融 2022-08-17 Griselda Deelstra , Lech A. Grzelak , Felix L. Wolf

Hedge Funds are considered as one of the portfolio management sectors which shows a fastest growing for the past decade. An optimal Hedge Fund management requires an appropriate risk metrics. The classic CAPM theory and its Ratio Sharpe…

物理与社会 · 物理学 2008-12-02 Josep Perello

Global fixed income returns span across multiple maturities and economies, that is, they naturally reside on multi-dimensional data structures referred to as tensors. In contrast to standard "flat-view" multivariate models that are agnostic…

投资组合管理 · 定量金融 2019-12-05 Bruno Scalzo Dees

This article introduces a new mathematical concept of illiquidity that goes hand in hand with credit risk. The concept is not volume- but constraint-based, i.e., certain assets cannot be shorted and are ineligible as num\'eraire. If those…

数理金融 · 定量金融 2020-04-28 Thomas Krabichler , Josef Teichmann