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underlying, their exposure to volatility risk, and their time decay. Our contribution to the literature is twofold: First, we … volatility according to Heston (1993). Within this setting, the portfolio returns are explained by the market and an additional … option factor, i.e., a portfolio of standard options exposed to volatility risk. We show that (i) any option factor is …
Persistent link: https://www.econbiz.de/10012900121
The stochastic alpha beta rho (SABR) model introduced by Hagan et al. (2002) is widely used in both fixed income and the foreign exchange (FX) markets. Continuously monitored barrier option contracts are among the most popular derivative contracts in the FX markets. In this paper, we develop...
Persistent link: https://www.econbiz.de/10012900406
for arithmetic Asian options with discrete and continuous monitoring featuring stochastic volatility and discontinuous … properties. We here estimate the stochastic volatility model with price jumps as well as the nested model with omitted jumps to … NYMEX WTI futures vanilla options. We find that price jumps and stochastic volatility are necessary to fit options. Despite …
Persistent link: https://www.econbiz.de/10012903104
Based on the fact that realized measures of volatility are affected by measurement errors, we introduce a new family of … discrete-time stochastic volatility models having two measurement equations relating both observed returns and realized … realized measures in inflating the latent volatility persistence - the crucial parameter in pricing Standard and Poor's 500 …
Persistent link: https://www.econbiz.de/10012903114
Stochastic volatility, local volatility and stochastic interest rates are three of the most important extensions to the …
Persistent link: https://www.econbiz.de/10012982921
well as for extracting the implied volatility from quoted options. The latter is of particular importance since it … approximating error of the suggested solution and, by comparing our results in computing the implied volatility with the most common …
Persistent link: https://www.econbiz.de/10012851133
We discuss a competitive alternative to stochastic local volatility models, namely the Collocating Volatility (CV … evaluated and a local volatility function. The latter, based on stochastic collocation – e.g. Babuska et al. (2007), Witteveen …
Persistent link: https://www.econbiz.de/10012851327
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
.We address the problem of the consistency of the Black-Scholes model with the volatility surface and we show that, under general … conditions, the Black-Scholes formula cannot be generalized to account for the volatility smile …
Persistent link: https://www.econbiz.de/10012852111
performance analysis is made of the single and multiple curve LFPM, where we include four deterministic volatility specifications …-Exponential Volatility (LEV) specification and that deterministic breakpoints should be included, rather than random breakpoints …
Persistent link: https://www.econbiz.de/10012852344