Pathwise Estimation and Inference for Diffusion Market Models

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A01=Lin Yee Hin
A01=Nikolai Dokuchaev
advanced diffusion model estimation
Affine Term Structure Models
Author_Lin Yee Hin
Author_Nikolai Dokuchaev
Black Scholes Option Pricing Formula
bond market
Category=PBW
Cir Model
Cir Process
Conditional Expectation
Coupon Bond
Differential Evolution Algorithm
Discounted Bond Prices
Driving Wiener Process
Effective Federal Funds Rate
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
European Vanilla Call Option
financial econometrics
Forecast Horizons
Future Short Rate
Heterogeneous Autoregressive Model
Implied Discount Rates
Implied Volatility Mapping
implied voliatity
interest rate forecasting
Interest Rate Term Structure Modeling
Martingale Representation Theorem
observed prices
Ois Rate
quantitative finance
Random Walk Benchmark
Risk Free Rate
SABR Model
Short Rate Dynamics
Short Rate Process
statistical inference methods
stochastic modeling
stochastic processes
time series analysis
Wiener Process

Product details

  • ISBN 9780367731212
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 18 Dec 2020
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Pathwise estimation and inference for diffusion market models discusses contemporary techniques for inferring, from options and bond prices, the market participants' aggregate view on important financial parameters such as implied volatility, discount rate, future interest rate, and their uncertainty thereof. The focus is on the pathwise inference methods that are applicable to a sole path of the observed prices and do not require the observation of an ensemble of such paths.

This book is pitched at the level of senior undergraduate students undertaking research at honors year, and postgraduate candidates undertaking Master’s or PhD degree by research. From a research perspective, this book reaches out to academic researchers from backgrounds as diverse as mathematics and probability, econometrics and statistics, and computational mathematics and optimization whose interest lie in analysis and modelling of financial market data from a multi-disciplinary approach. Additionally, this book is also aimed at financial market practitioners participating in capital market facing businesses who seek to keep abreast with and draw inspiration from novel approaches in market data analysis.

The first two chapters of the book contains introductory material on stochastic analysis and the classical diffusion stock market models. The remaining chapters discuss more special stock and bond market models and special methods of pathwise inference for market parameter for different models. The final chapter describes applications of numerical methods of inference of bond market parameters to forecasting of short rate.

Nikolai Dokuchaev is an associate professor in Mathematics and Statistics at Curtin University. His research interests include mathematical and statistical finance, stochastic analysis, PDEs, control, and signal processing.

Lin Yee Hin is a practitioner in the capital market facing industry. His research interests include econometrics, non-parametric regression, and scientific computing.

Nikolai Dokuchaev is an associate professor in Mathematics and Statistics at Curtin University. His research interests include mathematical and statistical finance, stochastic analysis, PDEs, control, and signal processing.

Lin Yee Hin is a practitioner in the capital market facing industry. His research interests include econometrics, non-parametric regression, and scientific computing.

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