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We suggest a new single-equation test for Uncovered Interest Parity (UIP) based on a dynamic regression approach. The method provides consistent and asymptotically efficient parameter estimates, and is not dependent on assumptions of strict…

计量经济学 · 经济学 2022-11-03 Richard T. Baillie , Francis X. Diebold , George Kapetanios , Kun Ho Kim

We conduct a preliminary analysis of a pairs trading strategy using the Ornstein-Uhlenbeck (OU) process to model stock price spreads. We compare this approach to a naive pairs trading strategy that uses a rolling window to calculate mean…

交易与市场微观结构 · 定量金融 2024-12-18 Jirat Suchato , Sean Wiryadi , Danran Chen , Ava Zhao , Michael Yue

We analyze the problem of the analytical characterization of the probability distribution of financial returns in the exponential Ornstein-Uhlenbeck model with stochastic volatility. In this model the prices are driven by a Geometric…

计算金融 · 定量金融 2009-11-13 Giacomo Bormetti , Valentina Cazzola , Guido Montagna , Oreste Nicrosini

In electricity markets, it is sensible to use a two-factor model with mean reversion for spot prices. One of the factors is an Ornstein-Uhlenbeck (OU) process driven by a Brownian motion and accounts for the small variations. The other…

证券定价 · 定量金融 2013-08-16 Fred Espen Benth , Salvador Ortiz-Latorre

The currency carry trade is the investment strategy that involves selling low interest rate currencies in order to purchase higher interest rate currencies, thus profiting from the interest rate differentials. This is a well known financial…

统计金融 · 定量金融 2014-01-14 Matthew Ames , Guillaume Bagnarosa , Gareth W. Peters

A new multi-factor short rate model is presented which is bounded from below by a real-valued function of time. The mean-reverting short rate process is modeled by a sum of pure-jump Ornstein--Uhlenbeck processes such that the related bond…

数理金融 · 定量金融 2020-06-29 Markus Hess

We study an optimization-based approach to con- struct a mean-reverting portfolio of assets. Our objectives are threefold: (1) design a portfolio that is well-represented by an Ornstein-Uhlenbeck process with parameters estimated by maximum…

投资组合管理 · 定量金融 2018-03-20 Jize Zhang , Tim Leung , Aleksandr Y. Aravkin

We consider a discrete-time approximation of paths of an Ornstein--Uhlenbeck process as a mean for estimation of a price of European call option in the model of financial market with stochastic volatility. The Euler--Maruyama approximation…

计算金融 · 定量金融 2016-01-07 Sergii Kuchuk-Iatsenko , Yuliya Mishura

The use of an Ornstein-Uhlenbeck (OU) process is ubiquitous in business, economics and finance to capture various price processes and evolution of economic indicators exhibiting mean-reverting properties. When structural changes happen,…

统计方法学 · 统计学 2017-05-30 Fuqi Chen , Rogemar Mamon , Matt Davison

This paper studies the problem of trading futures with transaction costs when the underlying spot price is mean-reverting. Specifically, we model the spot dynamics by the Ornstein-Uhlenbeck (OU), Cox-Ingersoll-Ross (CIR), or exponential…

数理金融 · 定量金融 2016-01-19 Tim Leung , Jiao Li , Xin Li , Zheng Wang

We study an optimal execution problem in the presence of market impact where the security price follows a geometric Ornstein-Uhlenbeck process, which implies the mean-reverting property, and show that the optimal strategy is a mixture of…

交易与市场微观结构 · 定量金融 2014-07-30 Takashi Kato

A Levy-driven Ornstein-Uhlenbeck process is proposed to model the evolution of the risk-free rate and default intensities for the purpose of evaluating option contracts on a credit index. Time evolution in credit markets is assumed to…

证券定价 · 定量金融 2023-11-01 Yoshihiro Shirai

We propose a strategy for automated trading, outline theoretical justification of the profitability of this strategy and overview the hypothetical results in application to currency pairs trading. The proposed methodology relies on the…

交易与市场微观结构 · 定量金融 2015-07-09 Grigory Temnov

We consider the problem of option pricing under stochastic volatility models, focusing on the linear approximation of the two processes known as exponential Ornstein-Uhlenbeck and Stein-Stein. Indeed, we show they admit the same limit…

证券定价 · 定量金融 2010-11-23 Giacomo Bormetti , Valentina Cazzola , Danilo Delpini

We give an explicit representation for the transition law of a tempered stable Ornstein-Uhlenbeck process and use it to develop a rejection sampling algorithm for exact simulation of increments from this process. Our results apply to…

概率论 · 数学 2020-05-19 Michael Grabchak

Prepayment risk embedded in fixed-rate mortgages forms a significant fraction of a financial institution's exposure, and it receives particular attention because of the magnitude of the underlying market. The embedded prepayment option…

计算金融 · 定量金融 2024-10-29 Leonardo Perotti , Lech A. Grzelak , Cornelis W. Oosterlee

A one-factor asset pricing model with an Ornstein--Uhlenbeck process as its state variable is studied under partial information: the mean-reverting level and the mean-reverting speed parameters are modeled as hidden/unobservable stochastic…

证券定价 · 定量金融 2014-06-18 Takashi Kato , Jun Sekine , Hiromitsu Yamamoto

Finding Bertram's optimal trading strategy for a pair of cointegrated assets following the Ornstein--Uhlenbeck price difference process can be formulated as an unconstrained convex optimization problem for maximization of expected profit…

数理金融 · 定量金融 2022-11-23 Vladimír Holý , Michal Černý

This paper studies subordinate Ornstein-Uhlenbeck (OU) processes, i.e., OU diffusions time changed by L\'{e}vy subordinators. We construct their sample path decomposition, show that they possess mean-reverting jumps, study their equivalent…

证券定价 · 定量金融 2012-04-18 Lingfei Li , Vadim Linetsky

For a commodity spot price dynamics given by an Ornstein-Uhlenbeck process with Barndorff-Nielsen and Shephard stochastic volatility, we price forwards using a class of pricing measures that simultaneously allow for change of level and…

证券定价 · 定量金融 2014-03-21 Fred Espen Benth , Salvador Ortiz-Latorre
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