The decomposition of some RDX and HMX based materials in the one dimensional time to explosion apparatus. Part 2. Estimating the violence of the cook-off event

Various methods of assessment have been applied to the One Dimensional Time to Explosion (ODTX) apparatus and experiments with the aim of allowing an estimate of the comparative violence of the explosion event to be made. Non-mechanical methods used were a simple visual inspection, measuring the increase in the void volume of the anvils following an explosion and measuring the velocity of the sound produced by the explosion over 1 metre. Mechanical methods used included monitoring piezo-electric devices inserted in the frame of the machine and measuring the rotational velocity of a rotating bar placed on the top of the anvils after it had been displaced by the shock wave. This last method, which resembles original Hopkinson Bar experiments, seemed the easiest to apply and analyse, giving relative rankings of violence and the possibility of the calculation of a “detonation” pressure.

A note on estimating market–based minimum capital risk requirements: a multivariate GARCH approach

Internal risk management models of the kind popularized by J. P. Morgan are now used widely by the world’s most sophisticated financial institutions as a means of measuring risk. Using the returns on three of the most popular futures contracts on the London International Financial Futures Exchange, in this paper we investigate the possibility of using multivariate generalized autoregressive conditional heteroscedasticity (GARCH) models for the calculation of minimum capital risk requirements (MCRRs). We propose a method for the estimation of the value at risk of a portfolio based on a multivariate GARCH model. We find that the consideration of the correlation between the contracts can lead to more accurate, and therefore more appropriate, MCRRs compared with the values obtained from a univariate approach to the problem.

Who owned Earls Colne in 1798....or how to squeeze more from the Land Tax

In this important article Richard Hoyle, one of the country’s leading historians of the early modern period, introduces new perspectives on the Land Tax and its use in the analysis of local communities in the late eighteenth and early nineteenth centuries. He uses as his case study the parish of Earls Colne in Essex, on which he has already written extensively with Professor Henry French. The article begins with an overview of the tax itself, explaining its history and the procedures for the collection of revenues – including the numerous changes which took place. The sizeable problems confronting any would-be analyst of the data are clearly identified, and Hoyle observes that because of these apparently insoluble difficulties the potential of the tax returns has never been fully realised. He then considers the surviving documentation in The National Archives, providing an accessible introduction to the sources and their arrangement, and describing the particularly important question o f the redemption of the tax by payment of a lump sum. The extent of redemption (in the years around 1800-1804) is discussed. Hoyle draws attention to the potential for linking the tax returns themselves with the redemption certificates (which have never been subjected to historical analysis and thereby proposes new ways of exploiting the evidence of the taxation as a whole. The article then discusses in detail the specific case of Earls Colne, with tabulated data showing the research potential. Topics analysed include the ownership of property ranked by size of payment, and calculations whereby the amount paid may be used to determine the worth of land and the structure of individual estates. The important question of absentee owners is investigated, and there is a very valuable consideration of the potential for looking at portfolio estate ownership, whereby owners held land in varying proportions in a number of parishes. It is suggested that such studies will allow us to be more aware of the entirety of property ownership, which a focus on a single community does not permit. In the concluding paragraph it is argued that using these sources we may see the rise and fall of estates, gain new information on landownership, landholding and farm size, and even approach the challenging topic of the distribution of wealth.

Asymmetric oligopoly and foreign direct investment: implications for host-country tax-setting

We present a duopoly model with heterogeneous firms that vary in cost-efficiency, each of which can choose to serve a foreign market by either exporting or local production. We do so to analyse the effects of a host-country corporate profit tax on both the scale and composition of FDI, and find that: strategic interaction between oligopolistic firms provides for a pattern of FDI that favours cost-inefficiency to the detriment of host-country welfare; and the host-country tax rate can be optimally used to avoid such patterns of FDI and instead promote direct investment by a relatively cost-efficient firm.

Adjoint methods in data assimilation for estimating model error

Data assimilation aims to incorporate measured observations into a dynamical system model in order to produce accurate estimates of all the current (and future) state variables of the system. The optimal estimates minimize a variational principle and can be found using adjoint methods. The model equations are treated as strong constraints on the problem. In reality, the model does not represent the system behaviour exactly and errors arise due to lack of resolution and inaccuracies in physical parameters, boundary conditions and forcing terms. A technique for estimating systematic and time-correlated errors as part of the variational assimilation procedure is described here. The modified method determines a correction term that compensates for model error and leads to improved predictions of the system states. The technique is illustrated in two test cases. Applications to the 1-D nonlinear shallow water equations demonstrate the effectiveness of the new procedure.

Applications of behavioural economics to tax evasion

The paper reviews recent models that have applied the techniques of behavioural economics to the analysis of the tax compliance choice of an individual taxpayer. The construction of these models is motivated by the failure of the Yitzhaki version of the Allingham–Sandmo model to predict correctly the proportion of taxpayers who will evade and the effect of an increase in the tax rate upon the chosen level of evasion. Recent approaches have applied non-expected utility theory to the compliance decision and have addressed social interaction. The models we describe are able to match the observed extent of evasion and correctly predict the tax effect but do not have the parsimony or precision of the Yitzhaki model.