The Heston Stochastic-Local Volatility Model

The Heston Stochastic-Local Volatility Model
Author :
Publisher :
Total Pages : 25
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ISBN-10 : OCLC:1304494669
ISBN-13 :
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Book Synopsis The Heston Stochastic-Local Volatility Model by : Anthonie van der Stoep

Download or read book The Heston Stochastic-Local Volatility Model written by Anthonie van der Stoep and published by . This book was released on 2018 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article we propose an efficient Monte Carlo scheme for simulating the stochastic volatility model of Heston (1993) enhanced by a non-parametric local volatility component. This hybrid model combines the main advantages of the Heston model and the local volatility model introduced by Dupire (1994) and Derman & Kani (1998). In particular, the additional local volatility component acts as a "compensator" that bridges the mismatch between the non-perfectly calibrated Heston model and the market quotes for European-type options. By means of numerical experiments we show that our scheme enables a consistent and fast pricing of products that are sensitive to the forward volatility skew. Detailed error analysis is also provided.


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