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Stochastic Volatility III: Volatility Models and Volatility Surfaces
SSRN Electronic Journal, 2010We consider implied volatility, time-dependent volatility, local volatility and stochastic volatility. We derive relationships between the different concepts. The relationships are of an exact analytical type if this is possible, else we use expansions to obtain approximate expressions. We close with a discussion of the mixing theorem.
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Forecasting Volatility with Time-Varying Leverage and Volatility of Volatility Effects
SSRN Electronic Journal, 2018Abstract Predicting volatility is of primary importance for business applications in risk management, asset allocation, and the pricing of derivative instruments. This paper proposes a measurement model that considers the possibly time-varying interaction of realized volatility and asset returns according to a bivariate model to capture its major ...
Catania, L, Proietti, T
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Implied Volatility Forecasting Realized Volatility
2021This chapter conducts an empirical analysis of IV to forecast the RV through testing hypothesis 1–9. The analysis includes three steps. First, estimate the IV for ATM price of currency options with 1-, 2-, and 3-month maturity during opening, midday, and closing period.
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A Stochastic Volatility Model, Volatility Smile and Forecasting Volatility
SSRN Electronic Journal, 2004In this paper we propose a stochastic valuation model based on the Fourier transform for option price. This model can be used for the valuation of European options, characterized by two state variables: the price of the underlying asset and its volatility.
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2008
Stochastic volatility (SV) is the main concept used in the fields of financial economics and mathematical finance to deal with the endemic time-varying volatility and codependence found in financial markets. Such dependence has been known for a long time; early commentators include Mandelbrot (1963) and Officer (1973). It was also clear to the founding
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Stochastic volatility (SV) is the main concept used in the fields of financial economics and mathematical finance to deal with the endemic time-varying volatility and codependence found in financial markets. Such dependence has been known for a long time; early commentators include Mandelbrot (1963) and Officer (1973). It was also clear to the founding
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Stock Splits, Volatility Increases, and Implied Volatilities
The Journal of Finance, 1989ABSTRACTA test of the efficiency of the Chicago Board Options Exchange, relative to post‐split increases in the volatility of common stocks, is presented. The Black‐Scholes and Roll option pricing formulas are used to examine the behavior of implied standard deviations (ISDs) around split announcement and ex‐dates.
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Asymmetric Volatility and Volatility Spillovers
2016Why indeed is volatility asymmetrical? Wholly apart from their epochal methodological contributions, providing an answer to this question may be the greatest theoretical advance traceable to time series models. This chapter will explore three distinct accounts of asymmetrical volatility.
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Volatile/Non-Volatile Memory Cell
2011The invention concerns a memory device comprising at least one memory cell comprising: a first transistor (102) coupled between a first storage node (106) and a first resistance switching element (202) programmed to have a first resistance; and a second transistor (104) coupled between a second storage node (108) and a second resistance switching ...
Guillemenet, Yoann +4 more
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Better to give than to receive: Predictive directional measurement of volatility spillovers
International Journal of Forecasting, 2012Kamil Yilmaz
exaly