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Maximum entropy distribution of stock price fluctuations
Maximum entropy distribution stock price fluctuations
2011/7/4
The principle of absence of arbitrage opportunities allows obtaining the distribution of
stock price fluctuations by maximizing its information entropy. This leads to a physical
description of the u...
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...
Two-sided estimates for stock price distribution densities in jump-diffusion models
Stochastic volatility models Jump-diffusion models Stock
2010/10/20
We consider uncorrelated Stein-Stein, Heston, and Hull-White models and their perturbations by compound Poisson processes with jump amplitudes distributed according to a double exponential law. Simila...
New procedures for testing whether stock price processes are martingales
betting strategy efficient market hypothesis (EMH) game-theoretic probability sequential test
2010/11/1
We propose procedures for testing whether stock price processes are martingales based on limit order type betting strategies. We first show that the null hypothesis of martingale property of a stock p...
Recovering a time-homogeneous stock price process from perpetual option prices
time-homogeneous stock price perpetual option prices
2010/10/29
It is well-known how to determine the price of perpetual American options if the underlying stock price is a time-homogeneous diffusion.In the present paper we consider the inverse problem, i.e. given...
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 ...