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On dependence of the implied volatility on returns for stochastic volatility models
stochastic volatility the Heston model
2010/10/21
We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model.To be more specific, we consider the conditional expectation of vari...
We study specific nonlinear transformations of the Black-Scholes implied volatility to show remarkable properties of the volatility surface. Model-free bounds on the implied volatility skew are given...
Asymptotic equivalence in Lee's moment formulas for the implied volatility and Piterbarg's conjecture
Call and put pricing functions Implied volatility Lee’s moment formula
2010/10/21
The asymptotic behavior of the implied volatility associated with a general call pricing function has been extensively studied in the last decade. The main topics discussed in this paper are Lee's mom...
The Impact of Credit Risk and Implied Volatility on Stock Returns
Credit Risk Implied Volatility Stock Returns
2010/10/20
This paper examines the possibility of using derivative-implied risk premia to explain stock returns. The rapid development of derivative markets has led to the possibility of trading various kinds of...
Asymptotic formulae for implied volatility in the Heston model
Asymptotic formulae implied volatility Heston model
2010/11/2
In this paper we prove an approximate formula expressed in terms of elementary functions for the implied volatility in the Heston model. The formula consists of the constant and first order terms in t...
Asymptotic Behavior of the Stock Price Distribution Density and Implied Volatility in Stochastic Volatility Models
true martingales one-dimensional diffusions separating times financial bubbles
2010/11/1
The stochastic exponential Zt = exp{Mt − M0 − (1/2)hM,Mit} of a continuous local martingale M is itself a continuous local martingale. We give a necessary and sufficient condition for the ...