Motivated by increment process modeling for two correlated random and non-random systems from a discrete-time asset pricing with both risk free asset and risky security, we propose a class of semiparametric regressions for a combination of a non-random and a random system. Unlike classical...

Snakes and ladders is an ancient Indian game of chance that offers amusement as well as a metaphor for life's many ups and downs. Games offer useful and fun ways of conveying ideas as well as solution techniques and this game has considerable mathematical tractability. This note shows how snakes...

The motivation for this paper is to apply a statistical arbitrage technique of pairs trading to high-frequency equity data and compare its profit potential to the standard sampling frequency of daily closing prices. We use a simple trading strategy to evaluate the profit potential of the data...

Ever since Harry Markowitz published his seminal paper on portfolio selection, investors have incorporated estimates of future volatilities and correlations into their asset allocation process. While portfolio construction methods continue to evolve, many investors continue to forecast...

When an event is anticipated, the firm's stock return around the announcement of the event may have an inconsistent sign: a positive sign around negative news, or vice versa. We attempt to quantify the frequency of this problem, first with a brief mathematical model and simulation, then with...

Price dynamics of the asset depends on the collective action of buyers and sellers, including both institutional and private investors. A large number of diverse, sometimes contradictory, reasons can underlie the decisions of market participants. In certain periods, asset purchases can be a...

The aim of this paper is to investigate the ability of the Dynamic Variance Gamma model, recently proposed by Bellini and Mercuri (2010), to evaluate option prices on the S&P500 index. We also provide a simple relation between the Dynamic Variance Gamma model and the Vix index. We use this...

In this paper we analyze the statistical properties of three popular measures of price discovery used in empirical market micro structure research. We find that the variance ratio is a consistent estimator for the informativeness of trades or time periods if the price process follows a...