In this work, the option pricing Black-Scholes model with dividend yield is investigated via Lie symmetry analysis. As a result, the complete Lie symmetry group and infinitesimal generators of the one-dimensional Black-Scholes equation are derived. On the basis of these infinitesimal generators, the
Analysis of price diffusion in financial markets using PUCK model
β Scribed by Takayuki Mizuno; Hideki Takayasu; Misako Takayasu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 184 KB
- Volume
- 382
- Category
- Article
- ISSN
- 0378-4371
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β¦ Synopsis
Based on the new type of random walk process called the potentials of unbalanced complex kinetics (PUCK) model, we theoretically show that the price diffusion in large scales is amplified 2Γ°2 ΓΎ bΓ Γ1 times, where b is the coefficient of quadratic term of the potential. In short time scales the price diffusion depends on the size M of the super moving average. Both numerical simulations and real data analysis of Yen-Dollar rates are consistent with theoretical analysis.
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