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On Stock Market Dynamics through Ultrametricity of Minimum Spanning Tree
ultrametricity minimum spanning tree liquidity Jakarta Stock Exchange
2015/7/31
We analyze the evolving price °uctuations by using ultrametric distance of minimally spanning ˉnancial tree of stocks traded in Jakarta Stock Exchange 2000-2004. Ultrametricity is derived from transfo...
Fractal Profit Landscape of the Stock Market
Fractal Profit Landscape Stock Market Statistical Finance
2012/6/2
We investigate the structure of the profit landscape obtained from the most basic, fluctuation based, trading strategy applied for the daily stock price data. The strategy is parameterized by only two...
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...
Non - Randomness Stock Market Price Model (Amended)
Market Price Model Non - Randomness Stock
2011/7/22
Abstract: A new model for the stock market price analysis is proposed. It is suggested to look at price as an everywhere discontinuous function of time of bounded variation.
Selling a stock at the ultimate maximum
Geometric Brownian motion optimal prediction optimal stopping ultimate maximum parabolic free-boundary problem smooth fit
2010/11/2
Assuming that the stock price Z = (Zt)0≤t≤T follows a geometric Brownian motion with drift μ 2 R and volatility > 0, and letting Mt = max0≤s≤t Zs for t 2 [0,T].
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...
Mapping markets to the statistical mechanics: the derivatives act against the self-regulation of stock market
statistical mechanics self-regulation of stock market
2010/10/29
Mapping the economy to the some statistical physics models we get strong indications that, in
contrary to the pure stock market, the stock market with derivatives could not self-regulate.
World stock market: more sizeable trend reversal likely in February/March 2010
World stock market sizeable trend
2010/11/2
Based on our ”finance-prediction-oriented” methodology which involves such elements as log-periodic self-similarity, the universal preferred scaling factor 2, and allows a phenomenon of the ”super...
The level crossing analysis of German stock market index (DAX) and daily oil price time series
stock market index (DAX) oil price time series
2010/10/18
The level crossing analysis of DAX and oil price time series are given. We determine the average frequency of positive-slope crossings, $\nu_{\alpha}^+$, where $T_{\alpha} =1/\nu_{\alpha}^+ $ is the a...
Stock prices are known to exhibit non-Gaussian dynamics, and there is much interest in under-
standing the origin of this behavior. Here, we present a model that explains the shape and scaling of the...
Gain/loss asymmetry in time series of individual stock prices and its relationship to the leverage effect
gain/loss asymmetry leverage effect EGARCH retarded volatility model
2010/11/3
Previous research has shown that for stock indices, the most likely time until a return of a
particular size has been observed is longer for gains than for losses. We establish that this so-called ga...
Universal and nonuniversal allometric scaling behaviors in the visibility graphs of world stock market indices
Universal nonuniversal world stock market indices
2010/11/2
The investigations of financial markets from a complex network perspective have unveiled many
phenomenological properties, in which the majority of these studies map the financial markets into one co...
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...