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This textbook emphasizes the applications of statistics and probability to finance. Students are assumed to have had a prior course in statistics, but no background in finance or economics. The basics of probability and statistics are reviewed and more advanced topics in statistics, such as...
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"The concept of local volatility as well as the local volatility model are one of the classical topics of mathematical … volatility function; b) construction of parametric or non-parametric regression of the local volatility surface suitable for fast … calibration; c) no-arbitrage interpolation and extrapolation of the local and implied volatility surfaces; d) extension of the …
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-frequency volatility estimators, market risk evaluation, covariance estimation and multivariate extensions of the processes. The book … and continues to be engaged in research on many topics in finance. His primary areas of interest are volatility, ARCH …
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Volatilities -- Extensions of the Black-Scholes theory to other types of options (futures options, currency options, American options, path-dependent options, multi-asset options) -- Fundamentals: stochastic analysis and applications, interest rate dynamics, and basic principles of pricing...
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