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Exchange Composite Index from January 1997 to July 2011, and the comparisons of return behaviors between the actual data and …
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of 2007 using methods from the hydrodynamic turbulence. To this end, we focus on characteristics of the return and … these, we show that the non-Gaussian probability distribution of the return can be modeled by the convolution of the … conditional probability distribution of the return given the volatility and the distribution of the volatility per se. From this …
Persistent link: https://www.econbiz.de/10010591701
This paper considers a sequence of discrete-time random walk markets with a single risky asset, and gives conditions for the existence of arbitrage opportunities or free lunches with vanishing risk, of the form of waiting to buy and selling the next period, with no shorting, and furthermore for...
Persistent link: https://www.econbiz.de/10010330249
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This paper considers a sequence of discrete-time random walk markets with a single risky asset, and gives conditions for the existence of arbitrage opportunities or free lunches with vanishing risk, of the form of waiting to buy and selling the next period, with no shorting, and furthermore for...
Persistent link: https://www.econbiz.de/10009293647
Persistent link: https://www.econbiz.de/10013342116
We prove a Donsker type approximation theorem for the fractional Brownian motion in the case $H1/2.$ Using this approximation we construct an elementary market model that converges weakly to the fractional analogue of the Black-Scholes model. We show that there exist arbitrage opportunities in...
Persistent link: https://www.econbiz.de/10005184373