Multivariate Lagrange Multiplier Tests for Fractional Integration

We introduce a multivariate Lagrange multiplier (LM) test forfractional integration. We derive and analyze the LM statisticand show that it is asymptotically noncentral chi-squared distributedunder local alternatives, and that, under Gaussianity, the LMtest is asymptotically efficient against local alternatives.It is shown that the regression variant in Breitung and Hassler(2002, Journal of Econometrics 110, 167–185) is not equivalentto the LM test in the multivariate case, although it is in theunivariate case. A generalization of the LM test that explicitlyallows for different integration orders for each variable isalso introduced. The finite sample properties of the LM testare evaluated by Monte Carlo experiments which demonstrate thatit is superior to the Breitung and Hassler (2002) test. An applicationto multivariate time series of real interest rates for six countriesis offered, demonstrating that more clear-cut evidence can bedrawn from multivariate tests compared to conducting severalunivariate tests.     

How task constraints affect inspiration search strategies

Searching for sources of inspiration is central to creative design; however, we have limited knowledge of individual inspiration search strategies in response to varying levels of task constraints. We studied 39 high-school students’ inspiration search strategies using Google Images. Low task constrainedness led to divergent search marked by quick iterations, limited design task usage, and a heterogeneous image set. Intermediate constrainedness prompted in-depth, on-task exploration characterized by slow and careful iterations with more search result examination, extensive design task usage, and homogenous images. High constrainedness led to flexible bracketing with quick, flexible design task use, ending with heterogeneous images. Images from the intermediately and highly constrained conditions generated more ideas and were perceived as more inspiring (relative to low) in a new group of students. We discuss the idea of a ‘sweet spot’ of constrainedness in an inspiration search process in design and consider implications for design research and future work.     

Static versus dynamic hedges: an empirical comparison for barrier options

We conduct an empirical comparison of static versus dynamic hedges of barrier options. Using more than five years of data, we compare a number of static hedges from the literature with dynamic hedges based on the local volatility model. The main result is that the variability of profit-and-loss distributions from certain static hedges is significantly smaller than that of dynamic hedges and robust to changing market scenarios. Furthermore, these static hedges are able to provide a robust tracking of barrier options’ sensitivities. This article reflects the authors’ personal opinion and not necessarily the opinion of their employers.     

Fast Ninomiya–Victoir calibration of the double-mean-reverting model

Abstract

We consider the three-factor double mean reverting (DMR) option pricing model of Gatheral [Consistent Modelling of SPX and VIX Options, 2008], a model which can be successfully calibrated to both VIX options and SPX options simultaneously. One drawback of this model is that calibration may be slow because no closed form solution for European options exists. In this paper, we apply modified versions of the second-order Monte Carlo scheme of Ninomiya and Victoir [Appl. Math. Finance, 2008, 15, 107–121], and compare these to the Euler–Maruyama scheme with full truncation of Lord et al. [Quant. Finance, 2010, 10(2), 177–194], demonstrating on the one hand that fast calibration of the DMR model is practical, and on the other that suitably modified Ninomiya–Victoir schemes are applicable to the simulation of much more complicated time-homogeneous models than may have been thought previously.     

Board composition in small enterprises

This paper reports the results of three empirical studies of boards of directors in small enterprises in Norway. Most studies of boards of directors are concerned with the situation in large corporations. This article provides insights into board attributes and board functions in small firms. The Studies reported found that board composition is an important factor in describing and analyzing directorates. They also found that the composition of the board of directors is a function of company size and ownership structure, and that board composition varies with industry. The studies found differences in the board's strategy involvement between industries.