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A Cautious Note on the Design of Volatility Derivatives
3/2 volatility model variance swap num´ eraire portfolio
2010/10/21
This cautious note aims to point at the potential risks for the financial system caused by various increasingly popular volatility derivatives including variance swaps on futures of equity indices. It...
The fractional volatility model: No-arbitrage, leverage and risk measures
Fractional noise Arbitrage Incomplete market Risk measures
2010/10/21
Based on a criterium of mathematical simplicity and consistency with empirical market data, a stochastic volatility model has been obtained with the volatility process driven by fractional noise. Dep...
Impact of elimination of uptick rule on stock market volatility
uptick rule stock market volatility
2010/10/18
The uptick rule is a former rule established by the SEC that required that every
short sale transaction be entered at a price that is higher than the price of the previous
trade. The purpose of this...
Bounds on Stock Price probability distributions in Local-Stochastic Volatility models
Law of the spot price local-stochastic volatility moment explosion
2010/10/20
We show that in a large class of stochastic volatility models with additional skew-functions (local-stochastic volatility models) the tails of the cumulative distribution of the log-returns behave as...
An Affine Term Structure Model with Auxiliary Stochastic Volatility-Covolatility
Term structure Stochastic volatility Wishart Autoregressive process
2011/4/2
This paper proposes an affine term structure model in a stochastic volatility setting. It provides a useful modeling tool to bridge the two strands of macroeconomic and finance research: the DSGE-VAR ...
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 analysis for stochastic volatility: Edgeworth expansion
stochastic volatility Edgeworth expansion European option prices
2010/4/28
The validity of an approximation formula for European option prices under a general stochastic volatility model is proved in the light of the Edgeworth expansion for ergodic diffusions. The asymptotic...
Minimizing the Probability of Lifetime Ruin under Stochastic Volatility
Optimal investment minimizing the probability of lifetime ruin
2010/10/19
We assume that an individual invests in a financial market with one riskless and one risky asset, with the latter's price following a diffusion with stochastic volatility. In the current financial ma...
Adiabaticity Conditions for Volatility Smile in Black-Scholes Pricing Model
Volatility smile Black-Sholes model no-arbitrage conditions
2010/10/19
Our derivation of the distribution function for future returns is based on the risk neutral approach which gives a functional dependence for the European call (put) option price, C(K), given the stri...
Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method
Basket options pricing local volatility jump-diffusion model forward PIDE
2010/10/19
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
Large-volatility dynamics in financial markets
Large-volatility dynamics financial markets
2010/10/18
We investigate the large-volatility dynamics in financial markets, based on the minutely and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after large volati...
A new space-time model for volatility clustering in the financial market
space-time model volatility clustering financial market
2010/10/18
A new space-time model for interacting agents on the financial market is presented. It is a combination of the Curie-Weiss model and a space-time model introduced by J\"arpe 2005. Properties of the m...
Asset returns and volatility clustering in financial time series
Asset returns volatility clustering financial time series
2010/10/18
An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation function...
Asymptotic equivalence and sufficiency for volatility estimation under microstructure noise
Asymptotic equivalence volatility estimation microstructure noise
2010/10/18
The basic model for high-frequency data in finance is considered, where an efficient price process is observed under microstructure noise. It is shown that this nonparametric model is in Le Cam's sens...
Homogeneous Volatility Bridge Estimators
volatility variance estimators efficiency Wiener processes homoge-neous functions
2010/11/3
We present a theory of homogeneous volatility bridge estimators for log-price stochastic processes. The main tool of our theory is the parsimonious encoding of the information contained in the open, h...