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122,751
Options on Multiple Assets in a MeanReverting Model
"... Abstract. We solve two optimal stopping problems whose payoff functions are the maximum and the minimum of two state variables driven by the OrnsteinUhlenbeck processes. We consider a class of problems where we obtain analytical solutions. Furthermore, by making use of the analytical results we stu ..."
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Abstract. We solve two optimal stopping problems whose payoff functions are the maximum and the minimum of two state variables driven by the OrnsteinUhlenbeck processes. We consider a class of problems where we obtain analytical solutions. Furthermore, by making use of the analytical results we study some properties of exercise regions including convexity, symmetry, and continuity.
PRICING OF SWING OPTIONS IN A MEAN REVERTING MODEL WITH JUMPS MATS KJAER
"... Abstract. We investigate the pricing of swing options in a model where the logarithm of the spot price is the sum of a deterministic seasonal trend and an OrnsteinUhlenbeck process driven by a jump diffusion. First we calibrate the model to Nord Pool electricity market data. Second, the existence o ..."
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Abstract. We investigate the pricing of swing options in a model where the logarithm of the spot price is the sum of a deterministic seasonal trend and an OrnsteinUhlenbeck process driven by a jump diffusion. First we calibrate the model to Nord Pool electricity market data. Second, the existence
Fast NinomiyaVictoir calibration of the doublemeanreverting model. 2013. Available at http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2210420
 24 T. Bollerslev and
, 2011
"... We consider the three factor double mean reverting (DMR) model of Gatheral (2008), a model which can be successfully calibrated to both VIX options and SPX options simultaneously. One drawback of this model is that calibration may be slow because no closed form solution for European options exists. ..."
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Cited by 2 (1 self)
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We consider the three factor double mean reverting (DMR) model of Gatheral (2008), a model which can be successfully calibrated to both VIX options and SPX options simultaneously. One drawback of this model is that calibration may be slow because no closed form solution for European options exists
AN OPTIMAL TRADING RULE OF A MEANREVERTING ASSET
"... Abstract. This work provides an optimal trading rule that allows buying, selling and short selling of an asset when its price is governed by meanreverting model. The goal is to find the buy and sell prices such that the overall return (with slippage cost imposed) is maximized. The associated HJB eq ..."
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Cited by 1 (0 self)
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Abstract. This work provides an optimal trading rule that allows buying, selling and short selling of an asset when its price is governed by meanreverting model. The goal is to find the buy and sell prices such that the overall return (with slippage cost imposed) is maximized. The associated HJB
Stock Market Prices Do Not Follow Random Walks: Evidence from a Simple Specification Test
 REVIEW OF FINANCIAL STUDIES
, 1988
"... In this article we test the random walk hypothesis for weekly stock market returns by comparing variance estimators derived from data sampled at different frequencies. The random walk model is strongly rejected for the entire sample period (19621985) and for all subperiod for a variety of aggrega ..."
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Cited by 492 (18 self)
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not support a meanreverting model of asset prices.
MeanReverting Stochastic Volatility
, 2000
"... We present derivative pricing and estimation tools for a class of stochastic volatility models that exploit the observed "bursty" or persistent nature of stock price volatility. An empirical analysis of highfrequency S&P 500 index data confirms that volatility reverts slowly to its me ..."
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Cited by 38 (9 self)
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mean in comparison to the tickbytick fluctuations of the index value, but it is fast meanreverting when looked at over the time scale of a derivative contract (many months). This motivates an asymptotic analysis of the partial differential equation satisfied by derivative prices, utilizing
On the Intertemporal Behavior of the ShortTerm Rate of Interest
"... This paper examines the intertemporal behavior of the shortterm rate of interest in a meanreverting model (Vasicek's elastic random walk model). Using the GoldfeldQuandt switching regressions technique, we show that the meanreverting model switched regimes three times over the sample period ..."
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This paper examines the intertemporal behavior of the shortterm rate of interest in a meanreverting model (Vasicek's elastic random walk model). Using the GoldfeldQuandt switching regressions technique, we show that the meanreverting model switched regimes three times over the sample
A Generalized MeanReverting Equation and Applications
 ESAIM:PS
"... Abstract. Consider a meanreverting equation, generalized in the sense it is driven by a 1dimensional centered Gaussian process with Hölder continuous paths on [0, T] (T> 0). Taking that equation in rough paths sense only gives local existence of the solution because the nonexplosion condition ..."
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Cited by 3 (3 self)
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). The regularity of the Itô map ensures a large deviation principle, and the existence of a density with respect to Lebesgue’s measure, for the solution of that generalized meanreverting equation. Finally, we study a generalized meanreverting pharmacokinetic model. Contents
Investing in a Real World With MeanReverting Inflation
"... People are concerned about maintaining purchasing power in times of rising ination. We formulate investment objectives in terms of real wealth, assuming investors derive utility from the number of goods they can buy with their monetary wealth. We derive closedform solutions for the portfolio choice ..."
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choice problem of constant relative risk averse investors, under the assumption that ination rates are meanreverting. We consider alternative specications for the ination compensation offered by the available assets, in order to study the effect on portfolio choice and welfare. Moreover, we study
A MeanReverting SDE on Correlation Matrices
, 2012
"... We introduce a meanreverting SDE whose solution is naturally defined on the space of correlation matrices. This SDE can be seen as an extension of the wellknown WrightFisher diffusion. We provide conditions that ensure weak and strong uniqueness of the SDE, and describe its ergodic limit. We also ..."
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We introduce a meanreverting SDE whose solution is naturally defined on the space of correlation matrices. This SDE can be seen as an extension of the wellknown WrightFisher diffusion. We provide conditions that ensure weak and strong uniqueness of the SDE, and describe its ergodic limit. We
Results 1  10
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122,751