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We consider European calls and puts on an asset whose forward price F(t) obeys dF(t)=α(t)A(F)dW(t,) under the forward measure. By using singular perturbation techniques, we obtain explicit algebraic formulas for the implied volatility σB in terms of today's forward price F0 ≡ F(0), the...
Persistent link: https://www.econbiz.de/10005495434
We derive an estimator for Black-Scholes-Merton implied volatility that, when compared to the familiar Corrado & Miller [JBaF, 1996] estimator, has substantially higher approximation accuracy and extends over a wider region of moneyness.
Persistent link: https://www.econbiz.de/10005450996
, predictable, and options appear calibrated to incorporate information about future jumps in all three markets. …
Persistent link: https://www.econbiz.de/10004979472
This paper offers a new approach for pricing options on assets with stochastic volatility. We start by taking as given … the prices of a few simple, liquid European options. More specifically, we take as given the “surface†of Black …-Scholes implied volatilities for European options with varying strike prices and maturities. We show that the Black-Scholes implied …
Persistent link: https://www.econbiz.de/10011130362
options to examine the response of option IV, as well as higher moments of the underlying return distribution, to … options. Findings –The findings suggest that in-the-money and out-of-the money options have difference characteristics in …
Persistent link: https://www.econbiz.de/10010895044
The current financial crisis offers a unique opportunity to investigate the leading properties of market indicators in a stressed environment and their usefulness from a banking supervision perspective. One pool of relevant information that has been little explored in the empirical literature is...
Persistent link: https://www.econbiz.de/10010863572
value of the exercise price. Extension of the second formula's approach to third options value derives the third formula. A …
Persistent link: https://www.econbiz.de/10004964026
, predictable, and options appear calibrated to incorporate information about future jumps in all three markets. …
Persistent link: https://www.econbiz.de/10005004428
Recent developments allow a nonparametric separation of the continuous sample path component and the jump component of realized volatility. The jump component has very different time series properties than the continuous component, and accounting for this allows improved forecasting of future...
Persistent link: https://www.econbiz.de/10005688501
We give an overview of a broad class of models designed to capture stochastic volatility in financial markets, with illustrations of the scope of application of these models to practical finance problems. In a broad sense, this model class includes GARCH, but we focus on a narrower set of...
Persistent link: https://www.econbiz.de/10008504200