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Quantile hedging
Föllmer, Hans; Leukert, Peter - 1998
study the question what an investor can do who is unwilling to spend that much, and who is ready to use a hedging strategy … which succeeds with high probability. -- Hedging ; superhedging ; Neyman Pearson lemma ; stochastic volatility ; value at …
Persistent link: https://www.econbiz.de/10009574876
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Efficient hedging for a complete jump-diffusion model
Kirch, Michael; Krutchenko, R. N.; Melʹnikov, Aleksandr V. - 2002
This paper is devoted to the problem of hedging contingent claims in the framework of a complete two-factor jump … determine the unique hedging strategies which minimize a suitably defined shortfall risk under a given cost constraint. We … derive explicit formulas for this so-called efficient or quantile hedging strategy for a European call option. We then …
Persistent link: https://www.econbiz.de/10009621417
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The price of the smile and variance risk premia
Gruber, Peter H.; Tebaldi, Claudio; Trojani, Fabio - 2015 - This version: September 8, 2015
In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a downward sloping term structure of low-frequency variance...
Persistent link: https://www.econbiz.de/10011412294
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Asymptotics for Exponential Levy Processes and Their Volatility Smile : Survey and New Results
Andersen, Leif B. G. - 2012
Exponential Lévy processes can be used to model the evolution of various financial variables such as FX rates, stock prices, etc. Considerable efforts have been devoted to pricing derivatives written on underliers governed by such processes, and the corresponding implied volatility surfaces...
Persistent link: https://www.econbiz.de/10013104402
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The Relation between Idiosyncratic Volatility and Returns : A Growth Option Model with Stochastic Volatility and Jumps
Shim, Kyung Hwan - 2012
We develop a zero beta industry model of growth options to explain the conflicting empirical findings on the relation between stock returns and idiosyncratic return volatility at the firm level. By allowing for the volatility of the underlying idiosyncratic choice variables to exhibit...
Persistent link: https://www.econbiz.de/10013109188
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Transform Analysis for Pricing American Options Under Low-Dimensional Stochastic Volatility Models
Beliaeva, Natalia - 2009
This paper presents a new transform-based approach for path-independent lattice construction for pricing American options under low-dimensional stochastic volatility models. We derive multidimensional transforms which allow us to construct efficient path-independent lattices for virtually all...
Persistent link: https://www.econbiz.de/10013152949
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Time-changed Lévy processes and option pricing : a critical comment
Fallahgoul, Hasan - 2020
Carr and Wu (2004), henceforth CW, developed a framework that encompasses almost all of the continuous-time models proposed in the option pricing literature. Their framework hinges on the stopping time property of the time changes. By ana- lyzing the measurability of the time changes with...
Persistent link: https://www.econbiz.de/10012851667
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The Small-Maturity Heston Forward Smile
Jacquier, Antoine (Jack) - 2015
In this paper we investigate the asymptotics of forward-start options and the forward implied volatility smile in the Heston model as the maturity approaches zero. We prove that the forward smile for out-of-the-money options explodes and compute a closed-form high-order expansion detailing the...
Persistent link: https://www.econbiz.de/10013035837
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Variance Premiums in an Equilibrium Model with Two Stochastic Volatility Factors
Zhu, Cai - 2013
Variance premium is studied under a discrete-time consumption-based equilibrium model, with two stochastic volatility factors. The formulas for VIX and variance premium term structure are derived. As an empirical application of the model, the predicion power of VIX and variance premium term...
Persistent link: https://www.econbiz.de/10013079942
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Arbitrage free approximations to candidate volatility surface quotations
Madan, Dilip B.; Schoutens, Wim - In: Journal of risk and financial management : JRFM 12 (2019) 2/69, pp. 1-21
It is argued that the growth in the breadth of option strikes traded after the financial crisis of 2008 poses difficulties for the use of Fourier inversion methodologies in volatility surface calibration. Continuous time Markov chain approximations are proposed as an alternative. They are shown...
Persistent link: https://www.econbiz.de/10012022144