scholarly journals Learning Martingale Measures From High Frequency Financial Data to Help Option Pricing

2006 ◽  
Author(s):  
Hung-Ching (Justin) Chen ◽  
Malik Magdon-Ismail
Keyword(s):  
Option Pricing ◽  
High Frequency ◽  
Financial Data ◽  
Martingale Measures

High-Frequency Financial Econometrics

2014 ◽  
Author(s):  
Yacine Aït-Sahalia ◽  
Jean Jacod
Keyword(s):  
High Frequency ◽  
Practical Importance ◽  
Financial Econometrics ◽  
Trading Strategies ◽  
Financial Data ◽  
Jump Processes ◽  
High Frequency Trading ◽  
Microstructure Noise ◽  
Econometric Methods ◽  
Mathematical Foundations

High-frequency trading is an algorithm-based computerized trading practice that allows firms to trade stocks in milliseconds. Over the last fifteen years, the use of statistical and econometric methods for analyzing high-frequency financial data has grown exponentially. This growth has been driven by the increasing availability of such data, the technological advancements that make high-frequency trading strategies possible, and the need of practitioners to analyze these data. This comprehensive book introduces readers to these emerging methods and tools of analysis. The book covers the mathematical foundations of stochastic processes, describes the primary characteristics of high-frequency financial data, and presents the asymptotic concepts that their analysis relies on. It also deals with estimation of the volatility portion of the model, including methods that are robust to market microstructure noise, and address estimation and testing questions involving the jump part of the model. As the book demonstrates, the practical importance and relevance of jumps in financial data are universally recognized, but only recently have econometric methods become available to rigorously analyze jump processes. The book approaches high-frequency econometrics with a distinct focus on the financial side of matters while maintaining technical rigor, which makes this book invaluable to researchers and practitioners alike.

scholarly journals Option Pricing Driven by a Telegraph Process with Random Jumps

2012 ◽  
Vol 49 (3) ◽  
pp. 838-849 ◽  
Author(s):  
Oscar López ◽  
Nikita Ratanov
Keyword(s):  
Option Pricing ◽  
Financial Market ◽  
Option Prices ◽  
Martingale Measures ◽  
Market Models ◽  
Telegraph Process ◽  
Equivalent Martingale Measures ◽  
Hedging Strategies ◽  
Random Jumps ◽  
Equivalent Martingale

In this paper we propose a class of financial market models which are based on telegraph processes with alternating tendencies and jumps. It is assumed that the jumps have random sizes and that they occur when the tendencies are switching. These models are typically incomplete, but the set of equivalent martingale measures can be described in detail. We provide additional suggestions which permit arbitrage-free option prices as well as hedging strategies to be obtained.

scholarly journals An Option Pricing Model Using High Frequency Data

2016 ◽  
Vol 91 ◽  
pp. 175-179
Author(s):  
Saebom Jeon ◽  
Won Chang ◽  
Yousung Park
Keyword(s):  
Option Pricing ◽  
High Frequency ◽  
High Frequency Data ◽  
Frequency Data ◽  
Pricing Model ◽  
Option Pricing Model

Option pricing using high-frequency futures prices

2021 ◽  
Author(s):  
Stavros Degiannakis ◽  
Christos Floros ◽  
Thomas Poufinas ◽  
George Filis ◽  
Konstantinos Gkillas
Keyword(s):  
Option Pricing ◽  
High Frequency ◽  
Futures Prices
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