Regime-switching Option Pricing Models

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ISBN 13 :
Total Pages : 93 pages
Book Rating : 4.:/5 (933 download)

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Book Synopsis Regime-switching Option Pricing Models by : Amalia Christoforidou

Download or read book Regime-switching Option Pricing Models written by Amalia Christoforidou and published by . This book was released on 2015 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0387338152
Total Pages : 397 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems by : Houmin Yan

Download or read book Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems written by Houmin Yan and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume contains 16 research articles. It presents recent and pressing issues in stochastic processes, control theory, differential games, optimization, and their applications in finance, manufacturing, queueing networks, and climate control. One of the salient features is that the book is highly multi-disciplinary. The book is dedicated to Professor Suresh Sethi on the occasion of his 60th birthday, in view of his distinguished career.

An Option Pricing Model with Regime-Switching Economic Indicators

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis An Option Pricing Model with Regime-Switching Economic Indicators by : Zongming Jr Ma

Download or read book An Option Pricing Model with Regime-Switching Economic Indicators written by Zongming Jr Ma and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regime Switching Black-Scholes Model Selection with Implications for Option Pricing

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ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (712 download)

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Book Synopsis Regime Switching Black-Scholes Model Selection with Implications for Option Pricing by : Philipp A. Orth

Download or read book Regime Switching Black-Scholes Model Selection with Implications for Option Pricing written by Philipp A. Orth and published by . This book was released on 2006 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Option Pricing with Unobserved and Regime-Switching Volatility

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Option Pricing with Unobserved and Regime-Switching Volatility by : Sean D. Campbell

Download or read book Option Pricing with Unobserved and Regime-Switching Volatility written by Sean D. Campbell and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we use a regime-switching process to model the unobserved volatility of the underlying asset and derive a closed-form, risk-neutral option pricing formula. Specifically, our model implies the state price density (SPD) is a time-varying mixture of normals which can provide for time-varying excess kurtosis and skewness as agents learn about the state of volatility from realized returns. Furthermore, we show that our model generates the kinds of volatility quot;smilesquot; commonly found in option markets. We apply our two and three regime models to weekly Samp;P 500 option data and find our model fits the data better than other popular pricing models. Additionally, we find evidence that stock returns can be well-described by a markov switching framework with a very persistent low volatility regime followed by a less persistent moderate volatility regime and a highly non-persistent crash regime. Our estimation results don't suffer the so called quot;Peso Problemquot; as they come from option prices instead of the observed stock returns.

Option Pricing Under Regime-Switching Models

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ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Option Pricing Under Regime-Switching Models by : Frédéric Godin

Download or read book Option Pricing Under Regime-Switching Models written by Frédéric Godin and published by . This book was released on 2018 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although option pricing schemes in regime-switching frameworks were extensively explored in the literature, many models developed disregard the unobservability of regimes. In such a context, the traditional pricing approach pioneered by Hardy (2001) applied to vanilla options exhibits path-dependence even if the underlying asset price process can be embedded in a Markov process. This property is deemed counterintuitive and puzzling, warranting explanations and alternatives. The current work develops novel risk-neutral measures which remove the path-dependence issue. Pricing approaches based on dynamic programming and Monte-Carlo simulations which rely on the latter measures are illustrated.

Option Pricing Under Regime Switching (analytical, PDE, and FFT Methods)

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ISBN 13 :
Total Pages : 83 pages
Book Rating : 4.:/5 (827 download)

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Book Synopsis Option Pricing Under Regime Switching (analytical, PDE, and FFT Methods) by : Mohammad Yousef Akhavein Sohrabi

Download or read book Option Pricing Under Regime Switching (analytical, PDE, and FFT Methods) written by Mohammad Yousef Akhavein Sohrabi and published by . This book was released on 2011 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although globally used in option pricing, the Black-Scholes model has not been able to reflect the evolution of stocks in the real world. A regime-switching model which allows jumps in the underlying asset prices and the parameters of the corresponding stochastic process is more accurate. We evaluate the analytical solution for pricing of European options under a two-state regime switching model. Both the convergence of the analytical solution and the feature of implied volatility are investigated through numerical examples.

A Direct Solution Method for Pricing Options in Regime-Switching Models

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ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis A Direct Solution Method for Pricing Options in Regime-Switching Models by : Masahiko Egami

Download or read book A Direct Solution Method for Pricing Options in Regime-Switching Models written by Masahiko Egami and published by . This book was released on 2018 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pricing financial or real options with arbitrary payoffs in regime-switching models is an important problem in finance. Mathematically, it is to solve, under certain standard assumptions, a general form of optimal stopping problems in regime-switching models. In this article, we reduce an optimal stopping problem with an arbitrary value function in a two-regime environment to a pair of optimal stopping problems without regime switching. We then propose a method for finding optimal stopping rules using the techniques available for non-switching problems. In contrast to other methods, our systematic solution procedure is more direct since we first obtain the explicit form of the value functions. In the end, we discuss an option pricing problem which may not be dealt with by the conventional methods, demonstrating the simplicity of our approach.

Option Pricing with Continuous-time Markov Chain Regime Switching

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ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (255 download)

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Book Synopsis Option Pricing with Continuous-time Markov Chain Regime Switching by : Craig Steven Edwards

Download or read book Option Pricing with Continuous-time Markov Chain Regime Switching written by Craig Steven Edwards and published by . This book was released on 2004 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Option Pricing and Hedging Analysis Under Regime-switching Models

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Publisher :
ISBN 13 :
Total Pages : 181 pages
Book Rating : 4.:/5 (86 download)

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Book Synopsis Option Pricing and Hedging Analysis Under Regime-switching Models by : Chao Qiu

Download or read book Option Pricing and Hedging Analysis Under Regime-switching Models written by Chao Qiu and published by . This book was released on 2013 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis explores option pricing and hedging in a discrete time regime-switching environment. If the regime risk cannot be hedged away, then we cannot ignore this risk and use the Black-Scholes pricing and hedging framework to generate a unique pricing and hedging measure. We develop a risk neutral pricing measure by applying an Esscher Transform to the real world asset price process, with the focus on the issue of incompleteness of the market. The Esscher transform turns out to be a convenient and effective tool for option pricing under the discrete time regime switching models. We apply the pricing measure to both single variate European options and multivariate options. To better understand the effect of the pricing method, we also compared the results with those generated from two other risk neutral methods: the Black-Scholes model, and the natural equivalent martingale method. We further investigate the difference in hedging associated with different pricing measures. This is of interest when the choice of pricing method is uncertain under regime switching models. We compare four hedging strategies: delta hedging for the three risk neutral pricing methods under study, and mean variance hedging. We also develop a more general tool of tail ordering for hedging analysis in a general incomplete market with the uncertainty of the risk neutral measures. As a result of the analysis, we propose that pricing and hedging using the Esscher transform may be an effective strategy for a market where the regime switching process brings uncertainty.

Macroeconometrics and Time Series Analysis

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Publisher : Springer
ISBN 13 : 0230280838
Total Pages : 417 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Macroeconometrics and Time Series Analysis by : Steven Durlauf

Download or read book Macroeconometrics and Time Series Analysis written by Steven Durlauf and published by Springer. This book was released on 2016-04-30 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Specially selected from The New Palgrave Dictionary of Economics 2nd edition, each article within this compendium covers the fundamental themes within the discipline and is written by a leading practitioner in the field. A handy reference tool.

Efficient Asian Option Pricing Under Regime Switching Jump Diffusions and Stochastic Volatility Models

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ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Efficient Asian Option Pricing Under Regime Switching Jump Diffusions and Stochastic Volatility Models by : Justin Kirkby

Download or read book Efficient Asian Option Pricing Under Regime Switching Jump Diffusions and Stochastic Volatility Models written by Justin Kirkby and published by . This book was released on 2020 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: Utilizing frame duality and a FFT-based implementation of density projection we develop a novel and efficient transform method to price Asian options for very general asset dynamics, including regime switching Levy processes and other jump diffusions as well as stochastic volatility models with jumps. The method combines Continuous-Time Markov Chain (CTMC) approximation, with Fourier pricing techniques. In particular, our method encompasses Heston, Hull-White, Stein-Stein, 3/2 model as well as recently proposed Jacobi, alpha-Hypergeometric, and 4/2 models, for virtually any type of jump amplitude distribution in the return process. This framework thus provides a unified approach to pricing Asian options in stochastic jump diffusion models and is readily extended to alternative exotic contracts. We also derive a characteristic function recursion by generalizing the Carverhill-Clewlow factorization which enables the application of transform methods in general. Numerical results are provided to illustrate the effectiveness of the method. Various extensions of this method have since been developed, including the pricing of barrier, American, and realized variance derivatives.

Stochastic Theory and Control

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Publisher : Springer Science & Business Media
ISBN 13 : 3540437770
Total Pages : 563 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Stochastic Theory and Control by : Bozenna Pasik-Duncan

Download or read book Stochastic Theory and Control written by Bozenna Pasik-Duncan and published by Springer Science & Business Media. This book was released on 2002-07-24 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains almost all of the papers that were presented at the Workshop on Stochastic Theory and Control that was held at the Univ- sity of Kansas, 18–20 October 2001. This three-day event gathered a group of leading scholars in the ?eld of stochastic theory and control to discuss leading-edge topics of stochastic control, which include risk sensitive control, adaptive control, mathematics of ?nance, estimation, identi?cation, optimal control, nonlinear ?ltering, stochastic di?erential equations, stochastic p- tial di?erential equations, and stochastic theory and its applications. The workshop provided an opportunity for many stochastic control researchers to network and discuss cutting-edge technologies and applications, teaching and future directions of stochastic control. Furthermore, the workshop focused on promoting control theory, in particular stochastic control, and it promoted collaborative initiatives in stochastic theory and control and stochastic c- trol education. The lecture on “Adaptation of Real-Time Seizure Detection Algorithm” was videotaped by the PBS. Participants of the workshop have been involved in contributing to the documentary being ?lmed by PBS which highlights the extraordinary work on “Math, Medicine and the Mind: Discovering Tre- ments for Epilepsy” that examines the e?orts of the multidisciplinary team on which several of the participants of the workshop have been working for many years to solve one of the world’s most dramatic neurological conditions. Invited high school teachers of Math and Science were among the part- ipants of this professional meeting.

Switching Levy Models in Continuous Time

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ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Switching Levy Models in Continuous Time by : Kyriakos Chourdakis

Download or read book Switching Levy Models in Continuous Time written by Kyriakos Chourdakis and published by . This book was released on 2008 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper introduces a general regime switching Levy process, and constructs the characteristic function in closed form. Correlations between the underlying Markov chain and the asset returns are also allowed, by imposing asset price jumps whenever a regime change takes place. Based on the characteristic function the conditional densities and vanilla option prices can be rapidly computed using FFT. It is shown that the regime switching model has the potential to capture a wide variety of implied volatility skews. The paper also discusses the pricing of exotic contracts, like barrier, Bermudan and American options, by implementation of a quadrature method. A detailed numerical experiment illustrates the application of the regime switching framework.

Option Pricing and Hedging for Discrete Time Regime-Switching Models

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ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Option Pricing and Hedging for Discrete Time Regime-Switching Models by : Bruno Remillard

Download or read book Option Pricing and Hedging for Discrete Time Regime-Switching Models written by Bruno Remillard and published by . This book was released on 2014 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose optimal mean-variance dynamic hedging strategies in discrete time under a multivariate Gaussian regime-switching model. The methodology, which also performs pricing, is robust to time-varying and clustering risk observed in financial time series. As such, it overcomes the main theoretical drawbacks of the Black-Scholes model. To support our approach, we provide univariate pricing results for monthly S&P 500 vanilla options. Then, we present the associated out-of-sample hedging results in the context of harvesting the implied versus realized volatility premium. Using the proposed methodology, the Sharpe ratio derived from the strategy doubles over the classical Black-Scholes delta-hedging methodology.

Stochastic Analysis, Stochastic Systems, and Applications to Finance

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Publisher : World Scientific
ISBN 13 : 9814355712
Total Pages : 274 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Stochastic Analysis, Stochastic Systems, and Applications to Finance by : Allanus Hak-Man Tsoi

Download or read book Stochastic Analysis, Stochastic Systems, and Applications to Finance written by Allanus Hak-Man Tsoi and published by World Scientific. This book was released on 2011 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pt. I. Stochastic analysis and systems. 1. Multidimensional Wick-Ito formula for Gaussian processes / D. Nualart and S. Ortiz-Latorre. 2. Fractional white noise multiplication / A.H. Tsoi. 3. Invariance principle of regime-switching diffusions / C. Zhu and G. Yin -- pt. II. Finance and stochastics. 4. Real options and competition / A. Bensoussan, J.D. Diltz and S.R. Hoe. 5. Finding expectations of monotone functions of binary random variables by simulation, with applications to reliability, finance, and round robin tournaments / M. Brown, E.A. Pekoz and S.M. Ross. 6. Filtering with counting process observations and other factors : applications to bond price tick data / X. Hu, D.R. Kuipers and Y. Zeng. 7. Jump bond markets some steps towards general models in applications to hedging and utility problems / M. Kohlmann and D. Xiong. 8. Recombining tree for regime-switching model : algorithm and weak convergence / R.H. Liu. 9. Optimal reinsurance under a jump diffusion model / S. Luo. 10. Applications of counting processes and martingales in survival analysis / J. Sun. 11. Stochastic algorithms and numerics for mean-reverting asset trading / Q. Zhang, C. Zhuang and G. Yin

American Options in Regime-Switching Models

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ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis American Options in Regime-Switching Models by : Svetlana Boyarchenko

Download or read book American Options in Regime-Switching Models written by Svetlana Boyarchenko and published by . This book was released on 2007 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the paper, we solve the pricing problem for American options in Markov-modulated Levy models. The early exercise boundaries and prices are calculated using a generalization of Carr's randomization for regime-switching models. The pricing procedure is efficient even if the number of states is large provided the transition rates are not large w.r.t. the riskless rates. The payoffs and riskless rates may depend on a state. Special cases are stochastic volatility models and models with stochastic interest rate; both must be modelled as finite-state Markov chains.