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Stylized facts of empirical assets log-returns $Z$ include the existence of (semi) heavy tailed distributions $f_Z(z)$ and a non-linear spectrum of Hurst exponents $\tau(\beta)$. Empirical data considered are daily prices of 10 large…

物理与社会 · 物理学 2008-12-02 Stefan Reimann

We extend a linear version of the liquidity risk model of Cetin et al. (2004) to allow for price impacts. We show that the impact of a market order on prices depends on the size of the transaction and the level of liquidity. We obtain a…

概率论 · 数学 2009-12-10 Alexandre F. Roch

We use a continuous version of the standard deviation premium principle for pricing in incomplete equity markets by assuming that the investor issuing an unhedgeable derivative security requires compensation for this risk in the form of a…

最优化与控制 · 数学 2008-12-02 Erhan Bayraktar , Virginia R. Young

We develop a model for indifference pricing in derivatives markets where price quotes have bid-ask spreads and finite quantities. The model quantifies the dependence of the prices and hedging portfolios on an investor's beliefs, risk…

证券定价 · 定量金融 2018-03-08 John Armstrong , Teemu Pennanen , Udomsak Rakwongwan

We study option prices in financial markets where the risky asset prices are modelled by jump diffusions. It was proposed by Schweizer (1996) in a general semimartingale setting, following earlier works by F\"ollmer and Sondermann (1986)…

最优化与控制 · 数学 2021-04-28 Nacira Agram , Bernt Øksendal

In this paper we propose and analyse a method for estimating three quantities related to an Asian option: the fair price, the cumulative distribution function, and the probability density. The method involves preintegration with respect to…

数值分析 · 数学 2023-11-13 Alexander D. Gilbert , Frances Y. Kuo , Ian H. Sloan , Abirami Srikumar

We analyze the hitting time distributions of stock price returns in different time windows, characterized by different levels of noise present in the market. The study has been performed on two sets of data from US markets. The first one is…

物理与社会 · 物理学 2009-11-13 Davide Valenti , Bernardo Spagnolo , Giovanni Bonanno

We consider a Bayesian problem of estimating of probability of success in a series of conditionally independent trials with binary outcomes. We study the asymptotic behaviour of differential entropy for posterior probability density…

信息论 · 计算机科学 2015-07-30 Mark Kelbert , Pavel Mozgunov

We investigate the forecasting ability of the most commonly used benchmarks in financial economics. We approach the usual caveats of probabilistic forecasts studies -small samples, limited models and non-holistic validations- by performing…

风险管理 · 定量金融 2018-05-08 Ricardo Crisostomo , Lorena Couso

We revisit the problem of pricing options with historical volatility estimators. We do this in the context of a generalized GARCH model with multiple time scales and asymmetry. It is argued that the reason for the observed volatility risk…

证券定价 · 定量金融 2014-02-07 Samuel E. Vazquez

Intra-day price spreads are of interest to electricity traders, storage and electric vehicle operators. This paper formulates dynamic density functions, based upon skewed-t and similar representations, to model and forecast the German…

应用统计 · 统计学 2020-02-26 Ekaterina Abramova , Derek Bunn

This paper presents the solution to a European option pricing problem by considering a regime-switching jump diffusion model of the underlying financial asset price dynamics. The regimes are assumed to be the results of an observed pure…

证券定价 · 定量金融 2019-10-21 Anindya Goswami , Omkar Manjarekar , Anjana R

In this paper we study the pricing of exchange options when underlying assets have stochastic volatility and stochastic correlation. An approximation using a closed-form approximation based on a Taylor expansion of the conditional price is…

证券定价 · 定量金融 2020-01-14 Enrique Villamor , Pablo Olivares

In this paper, we study the option pricing problems for rough volatility models. As the framework is non-Markovian, the value function for a European option is not deterministic; rather, it is random and satisfies a backward stochastic…

数理金融 · 定量金融 2020-08-05 Christian Bayer , Jinniao Qiu , Yao Yao

In a Bayesian context, prior specification for inference on monotone densities is conceptually straightforward, but proving posterior convergence theorems is complicated by the fact that desirable prior concentration properties often are…

统计理论 · 数学 2020-07-28 Ryan Martin

In this note, we develop stock option price approximations for a model which takes both the risk o default and the stochastic volatility into account. We also let the intensity of defaults be influenced by the volatility. We show that it…

计算工程、金融与科学 · 计算机科学 2007-12-21 Erhan Bayraktar

Paper is based on "The cost of illiquidity and its effects on hedging", L. C. G. Rogers and Surbjeet Singh, 2010. We generalize its thesis to constant elasticity model, which own previously used Black-Schoels model as a special case. The…

数理金融 · 定量金融 2014-09-23 Krzysztof Turek

This paper deals with a fundamental subject that has seldom been addressed in recent years, that of market impact in the options market. Our analysis is based on a proprietary database of metaorders-large orders that are split into smaller…

交易与市场微观结构 · 定量金融 2022-05-17 Emilio Said , Ahmed Bel Hadj Ayed , Damien Thillou , Jean-Jacques Rabeyrin , Frédéric Abergel

In this article, we study the problem of pricing defaultable bond with discrete default intensity and barrier under constant risk free short rate using higher order binary options and their integrals. In our credit risk model, the risk free…

证券定价 · 定量金融 2013-10-23 Hyong-Chol O , Dong-Hyok Kim , Jong-Jun Jo , Song-Hun Ri

This article considers the pricing and hedging of a call option when liquidity matters, that is, either for a large nominal or for an illiquid underlying asset. In practice, as opposed to the classical assumptions of a price-taking agent in…

交易与市场微观结构 · 定量金融 2015-04-06 Olivier Guéant , Jiang Pu