Numerical valuation of discrete double barrier options

Numerical valuation of discrete double barrier options

By: Leprik Date of post: 25.05.2017

This service is more advanced with JavaScript available, learn more at http: Journal of Asset Management. Most of traded double barrier options are monitored in discrete time, their pricing being more challenging than in continuous time.

A few solutions are analytical with a correction for continuity; the remaining solutions are numerical with lattices, grids or Monte Carlo MC simulation. We apply an original variance reduction technique to the pricing of European double barrier options monitored in discrete time. This technique speeds up significantly the MC simulation. The computational algorithm repeats each experiment with an increasing number of trials at a logarithmic rate and calculates a weighted average of the options values.

We show that the Login model accurately prices double barrier options. Market participants in need of selecting a reliable numerical method for pricing double barrier options monitored in discrete time will find our article appealing. Moreover, the idea behind the method is simple and can be applied to the pricing of plain-vanilla or more complex derivatives, easing and speeding the valuation step significantly. He holds a PhD in Administration from the University of Quebec, Canada.

His major areas of research are numerical methods applied to derivatives and yield curve forecasting. As Associate Professor at the American University in Cairo, Egypt, he teaches courses in the area of financial markets. She holds a Master 2 in Management from the University of Nantes, France.

Her major topics of research focus on derivative products.

numerical valuation of discrete double barrier options

His research interests focus on the problems of measurement errors, specification errors and endogeneity in financial models of returns. He is also interested in developing new methods for forecasting financial time series, especially with regard to hedge fund risk. He has virtual families 2 making more money several books and many articles on quantitative finance and financial econometrics.

Part of Springer Nature. Not logged in Not affiliated Pricing discrete double barrier options with a numerical method. Original Article First Online: Cite this article as: J Asset Manag Journal of Derivatives 6 jobs to earn money for gap year USSR Computational Mathematics and Mathematical Physics numerical valuation of discrete double barrier options 1: Transactions of the American Mathematical Society 49 1: A Monte Carlo approach.

Journal of Financial Binary trading oil 4 3: Journal of Derivatives 1 4: ACM Transactions on Mathematical Software 14 1: ACM Transactions on Mathematical Software 20 4: Mathematical Finance 7 4: Journal of Derivatives 4 1: Technical Report, Financial Options Research Numerical valuation of discrete double barrier options, University of Warwick, Coventry, U.

Decisions in Economics and Finance 24 1: Journal of Financial Economics 7 3: ACM Transactions on Modeling and Computer Simulation 17 3: A fast Hilbert transform approach.

Black and Scholes Model Call Option

Mathematical Finance 18 3: Implementation and relative efficiency of quasirandom sequence generators. ACM Transactions on Mathematical Software 12 4: Methods and Cases, Berlin, Germany: Mathematical Finance 6 4: Operations Research 56 3: Operations Research 47 4: Computational Economics 44 2: Numerische Mathematik 2 1: Radical-inverse quasi-random point sequence.

Stock market on 12/31/13 of the ACM 7 Mathematical Proceedings of the Cambridge Philosophical Society 52 3: Review of Financial Studies 6 2: Applied Mathematical Finance 14 1: Journal of Financial and Quantitative Analysis.

Mathematical Finance 2 4: Management Science 42 6: ACM Bpi stock trade account on Mathematical Software 23 2: White Paper for the Open Archives Initiative, http: Journal of Computational Physics 27 2: Journal of the American Statistical Association 93 A simple least-squares approach.

Numerical valuation of discrete double barrier options | Mariyan Milev - obupexeh.web.fc2.com

Review of Financial Studies 14 1: A dimensionally equidistributed uniform pseudorandom number generator. ACM transactions on Modeling and Computer simulation 8 1: Annals of Operations Research 39 1: Journal of Financial Economics 3 1: Good ones are hard to find. Communications of the ACM 31 Transmission and Distribution Conference and Exposition: Stochastic Modelling and Applied Probability 64 1: Aestimatio, the IEB International Journal of Finance 6 1: The Journal of Derivatives and Hedge Funds 20 2: Experimental comparison and analysis for single systems.

IIE Transactions 40 5: The Florida State University, Tallahassee, FL, U. Asia-Pacific Financial Markets 19 3: Preprint IPM Akademii Nauk SSSR, USSR Computational Mathematics and Mathematical Physics 16 5: ACM Transactions on Modeling and Computer Simulation 3 2: Journal of Transactions on Reconfigurable Technology and Systems 3 4: Journal of Portfolio Management 22 1: Journal of Computational and Applied Mathematics 1: Management Science 25 7: International Journal of Computer Mathematics 86 6: Department of Management American University in Cairo New Cairo Egypt.

Publisher Name Palgrave Macmillan UK Print ISSN Online ISSN X About this journal Reprints and Permissions. Published in cooperation with Palgrave Macmillan.

Source Sans Pro, Helvetica, Arial, sans-serif; font-size: Unlimited access to the full article Instant download Include local sales tax if applicable. Get Access to Journal of Asset Management.

Learn about institutional subscriptions. RIS Papers Reference Manager RefWorks Zotero.

Pricing discrete double barrier options with a numerical method | SpringerLink

BIB BibTeX JabRef Mendeley. Share article Email Facebook Twitter LinkedIn. Cookies We use cookies to improve your experience with our site.

Over 10 million scientific documents at your fingertips Switch Edition Academic Edition Corporate Edition.

Rating 4,2 stars - 719 reviews
inserted by FC2 system