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CONVEX REGULARIZATION OF LOCAL VOLATILITY ESTIMATION
International Journal of Theoretical and Applied Finance, 2017We apply convex regularization techniques to the problem of calibrating Dupire’s local volatility surface model taking into account the practical requirement of discrete grids and noisy data. Such requirements are the consequence of bid and ask spreads, quantization of the quoted prices and lack of liquidity of option prices for strikes far away from ...
VINICIUS ALBANI +2 more
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Callable Local Volatility Model
2022We present a model for calculating the price of European call and put options in the domestic currency on an underlying foreign equity with tenor up to 7 years. The calculation include option price, Delta, Gamma, Hedge Rho, Discount Rho, Vega, Theta.
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Local volatility calibration during turbulent periods
Review of Quantitative Finance and Accounting, 2012We propose a methodology to calibrate the local volatility function under a continuous time setting. For this purpose, we used the Markov chain approximation method built on the well-established idea of local consistency. The chain was designed to approximate jump-diffusions coupled with a local volatility function.
Konstantinos Skindilias, Chia Chun Lo
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Stochastic Volatility Modeling: Chapter 2 - Local Volatility
SSRN Electronic Journal, 2016This is Chapter 2 of Stochastic Volatility Modeling, published by CRC/Chapman & Hall.In this chapter the local volatility model is surveyed as a market model for the underlying together with its associated vanilla options.First, relationships of implied to local volatilities are derived, as well as approximations for skew and curvature.
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A Hybrid Stochastic Volatility Model Incorporating Local Volatility
2012 Fourth International Conference on Computational and Information Sciences, 2012In this paper, we present our study on a hybrid stochastic volatility model incorporating local volatility for pricing options in the foreign exchange (FX) market. The hybrid stochastic-local volatility model (SLV) could match the implied volatility surface well and meanwhile shows the flexibility for pricing exotic options.
Yu Tian +3 more
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2011
One way to construct models more complex than the Black–Scholes model is to allow the volatility to depend on the current time and on the value of the underlying: $${\mathit{dF}}_{t} = \sigma (t,{F}_{t}){F}_{t}{\mathit{dW }}_{t}$$ Models of this type are called local volatility models.
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One way to construct models more complex than the Black–Scholes model is to allow the volatility to depend on the current time and on the value of the underlying: $${\mathit{dF}}_{t} = \sigma (t,{F}_{t}){F}_{t}{\mathit{dW }}_{t}$$ Models of this type are called local volatility models.
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SSRN Electronic Journal, 2008
In this short notice some comments on local volatility are provided. The Black–Scholes (BS) model of the options pricing has advised a ‘fair’ price that interpreted as the PV of the ‘neutralized’ pay off value at maturity. In BS equation (BSE) the real stock return μ is replaced by the risk-free rate of return r.
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In this short notice some comments on local volatility are provided. The Black–Scholes (BS) model of the options pricing has advised a ‘fair’ price that interpreted as the PV of the ‘neutralized’ pay off value at maturity. In BS equation (BSE) the real stock return μ is replaced by the risk-free rate of return r.
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Two Factor Stochastic Volatility with Embedded Local Volatility
SSRN Electronic Journal, 2009This paper is intended to introduce an extension of the stochastic volatility model introduced by Pat Hagan. It adds to it two important features: a second factor and mean reversion. It is also a response to the smile dynamics problem taking into account very important features.
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Effective stochastic local volatility models
Quantitative Finance, 2022M. Felpel, J. Kienitz, T.A. McWalter
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