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.

An extreme value theory approach to calculating minimum capital risk requirements

This paper investigates the frequency of extreme events for three LIFFE futures contracts for the calculation of minimum capital risk requirements (MCRRs). We propose a semiparametric approach where the tails are modelled by the Generalized Pareto Distribution and smaller risks are captured by the empirical distribution function. We compare the capital requirements form this approach with those calculated from the unconditional density and from a conditional density - a GARCH(1,1) model. Our primary finding is that both in-sample and for a hold-out sample, our extreme value approach yields superior results than either of the other two models which do not explicitly model the tails of the return distribution. Since the use of these internal models will be permitted under the EC-CAD II, they could be widely adopted in the near future for determining capital adequacies. Hence, close scrutiny of competing models is required to avoid a potentially costly misallocation capital resources while at the same time ensuring the safety of the financial system.

Selecting from amongst non–nested conditional variance models: information criteria and portfolio determination

We consider the finite sample properties of model selection by information criteria in conditionally heteroscedastic models. Recent theoretical results show that certain popular criteria are consistent in that they will select the true model asymptotically with probability 1. To examine the empirical relevance of this property, Monte Carlo simulations are conducted for a set of non–nested data generating processes (DGPs) with the set of candidate models consisting of all types of model used as DGPs. In addition, not only is the best model considered but also those with similar values of the information criterion, called close competitors, thus forming a portfolio of eligible models. To supplement the simulations, the criteria are applied to a set of economic and financial series. In the simulations, the criteria are largely ineffective at identifying the correct model, either as best or a close competitor, the parsimonious GARCH(1, 1) model being preferred for most DGPs. In contrast, asymmetric models are generally selected to represent actual data. This leads to the conjecture that the properties of parameterizations of processes commonly used to model heteroscedastic data are more similar than may be imagined and that more attention needs to be paid to the behaviour of the standardized disturbances of such models, both in simulation exercises and in empirical modelling.

The persistence of solar activity indicators and the descent of the sun into Maunder Minimum conditions

The recent low and prolonged minimum of the solar cycle, along with the slow growth in activity of the new cycle, has led to suggestions that the Sun is entering a Grand Solar Minimum (GSMi), potentially as deep as the Maunder Minimum (MM). This raises questions about the persistence and predictability of solar activity. We study the autocorrelation functions and predictability R^2_L(t) of solar indices, particularly group sunspot number R_G and heliospheric modulation potential phi for which we have data during the descent into the MM. For R_G and phi, R^2_L (t) > 0.5 for times into the future of t = 4 and 3 solar cycles, respectively: sufficient to allow prediction of a GSMi onset. The lower predictability of sunspot number R_Z is discussed. The current declines in peak and mean R_G are the largest since the onset of the MM and exceed those around 1800 which failed to initiate a GSMi.

CPD records for revalidation: assessing fitness-to-practise using ‘revalidation standards’ and an Outcomes Framework

Background: Currently, all pharmacists and technicians registered with the Royal Pharmaceutical Society of Great Britain must complete a minimum of nine Continuing Professional Development (CPD) record (entries) each year. From September 2010 a new regulatory body, the General Pharmaceutical Council, will oversee the regulation (including revalidation) of all pharmacy registrants in Great Britain. CPD may provide part of the supporting evidence that a practitioner submits to the regulator as part of the revalidation process. Gaps in knowledge necessitated further research to examine the usefulness of CPD in a pharmacy revalidation Project aims: The overall aims of this project were to summarise pharmacy professionals’ past involvement in CPD, examine the usability of current CPD entries for the purpose of revalidation, and to examine the impact of ‘revalidation standards’ and a bespoke Outcomes Framework on the conduct and construction of CPD entries for future revalidation of pharmacy professionals. We completed a comprehensive review of the literature, devised, validated and tested the impact of a new CPD Outcomes Framework and related training material in an empirical investigation involving volunteer pharmacy professionals and also spoke with our participants to bring meaning and understanding to the process of CPD conduct and recording and to gain feedback on the study itself. Key findings: The comprehensive literature review identified perceived barriers to CPD and resulted in recommendations that could potentially rectify pharmacy professionals’ perceptions and facilitate participation in CPD. The CPD Outcomes Framework can be used to score CPD entries Compared to a control (CPD and ‘revalidation standards’ only), we found that training participants to apply the CPD Outcomes Framework resulted in entries that scored significantly higher in the context of a quantitative method of CPD assessment. Feedback from participants who had received the CPD Outcomes Framework was positive and a number of useful suggestions were made about improvements to the Framework and related training. Entries scored higher because participants had consciously applied concepts linked to the CPD Outcomes Framework whereas entries scored low where participants had been unable to apply the concepts of the Framework for a variety of reasons including limitations posed by the ‘Plan & Record’ template. Feedback about the nature of the ‘revalidation standards’ and their application to CPD was not positive and participants had not in the main sought to apply the standards to their CPD entries – but those in the intervention group were more likely to have referred to the revalidation standards for their CPD. As assessors, we too found the process of selecting and assigning ‘revalidation standards’ to individual CPD entries burdensome and somewhat unspecific. We believe that addressing the perceived barriers and drawing on the facilitators will help deal with the apparent lack of engagement with the revalidation standards and have been able to make a set of relevant recommendations. We devised a model to explain and tell the story of CPD behaviour. Based on the concepts of purpose, action and results, the model centres on explaining two types of CPD behaviour, one following the traditional CE pathway and the other a more genuine CPD pathway. Entries which scored higher when we applied the CPD Outcomes Framework were more likely to follow the CPD pathway in the model above. Significant to our finding is that while participants following both models of practice took part in this study, the CPD Outcomes Framework was able to change people’s CPD behaviour to make it more inline with the CPD pathway. The CPD Outcomes Framework in defining the CPD criteria, the training pack in teaching the basis and use of the Framework and the process of assessment in using the CPD Outcomes Framework, would have interacted to improve participants’ CPD through a collective process. Participants were keen to receive a curriculum against which certainly CE-type activities could be conducted and another important observation relates to whether CE has any role to play in pharmacy professionals’ revalidation. We would recommend that the CPD Outcomes Framework is used in the revalidation of pharmacy professionals in the future provided the requirement to submit 9 CPD entries per annum is re-examined and expressed more clearly in relation to what specifically participants are being asked to submit – i.e. the ratio of CE to CPD entries. We can foresee a benefit in setting more regular intervals which would act as deadlines for CPD submission in the future. On the whole, there is value in using CPD for the purpose of pharmacy professionals’ revalidation in the future.

Minimum norm regularization of descriptor systems by mixed output feedback

We study the regularization problem for linear, constant coefficient descriptor systems Ex' = Ax+Bu, y1 = Cx, y2 = Γx' by proportional and derivative mixed output feedback. Necessary and sufficient conditions are given, which guarantee that there exist output feedbacks such that the closed-loop system is regular, has index at most one and E+BGΓ has a desired rank, i.e., there is a desired number of differential and algebraic equations. To resolve the freedom in the choice of the feedback matrices we then discuss how to obtain the desired regularizing feedback of minimum norm and show that this approach leads to useful results in the sense of robustness only if the rank of E is decreased. Numerical procedures are derived to construct the desired feedback gains. These numerical procedures are based on orthogonal matrix transformations which can be implemented in a numerically stable way.

Cyclic loss of open solar flux since 1868: the link to heliospheric current sheet tilt and implications for the Maunder Minimum

Open solar flux (OSF) variations can be described by the imbalance between source and loss terms. We use spacecraft and geomagnetic observations of OSF from 1868 to present and assume the OSF source, S, varies with the observed sunspot number, R. Computing the required fractional OSF loss, χ, reveals a clear solar cycle variation, in approximate phase with R. While peak R varies significantly from cycle to cycle, χ is surprisingly constant in both amplitude and waveform. Comparisons of χ with measures of heliospheric current sheet (HCS) orientation reveal a strong correlation. The cyclic nature of χ is exploited to reconstruct OSF back to the start of sunspot records in 1610. This agrees well with the available spacecraft, geomagnetic, and cosmogenic isotope observations. Assuming S is proportional to R yields near-zero OSF throughout the Maunder Minimum. However, χ becomes negative during periods of low R, particularly the most recent solar minimum, meaning OSF production is underestimated. This is related to continued coronal mass ejection (CME) activity, and therefore OSF production, throughout solar minimum, despite R falling to zero. Correcting S for this produces a better match to the recent solar minimum OSF observations. It also results in a cycling, nonzero OSF during the Maunder Minimum, in agreement with cosmogenic isotope observations. These results suggest that during the Maunder Minimum, HCS tilt cycled as over recent solar cycles, and the CME rate was roughly constant at the levels measured during the most recent two solar minima.

Linear criteria for gravity-wave breaking in resonant stratified flow over a ridge

Using linear theory, it is shown that, in resonant flow over a 2D mountain ridge, such as exists when a layer of uniform wind is topped by an environmental critical level, the conditions for internal gravity-wave breaking are different from those determined in previous studies for non-resonant flows. For Richardson numbers in the shear layer not exceeding 2.25, two zones of flow overturning exist, respectively below and downstream and above and upstream of the expected locations. Flow overturning occurs for values of the dimensionless height of the ridge smaller than those required for a uniform wind profile. These results may have implications for the physical understanding of high-drag states.

The (de)merits of minimum-variance hedging: application to the crack spread

We study the empirical performance of the classical minimum-variance hedging strategy, comparing several econometric models for estimating hedge ratios of crude oil, gasoline and heating oil crack spreads. Given the great variability and large jumps in both spot and futures prices, considerable care is required when processing the relevant data and accounting for the costs of maintaining and re-balancing the hedge position. We find that the variance reduction produced by all models is statistically and economically indistinguishable from the one-for-one “naïve” hedge. However, minimum-variance hedging models, especially those based on GARCH, generate much greater margin and transaction costs than the naïve hedge. Therefore we encourage hedgers to use a naïve hedging strategy on the crack spread bundles now offered by the exchange; this strategy is the cheapest and easiest to implement. Our conclusion contradicts the majority of the existing literature, which favours the implementation of GARCH-based hedging strategies.

Interview

If tailored pulses could precisely modulate enzyme-substrate interactions or phosphorylation processes, this would lead to the development of a new discipline: that of Biomolecular Control

Design of delay-tolerant linear dispersion codes

In cooperative communication networks, owing to the nodes' arbitrary geographical locations and individual oscillators, the system is fundamentally asynchronous. This will damage some of the key properties of the space-time codes and can lead to substantial performance degradation. In this paper, we study the design of linear dispersion codes (LDCs) for such asynchronous cooperative communication networks. Firstly, the concept of conventional LDCs is extended to the delay-tolerant version and new design criteria are discussed. Then we propose a new design method to yield delay-tolerant LDCs that reach the optimal Jensen's upper bound on ergodic capacity as well as minimum average pairwise error probability. The proposed design employs stochastic gradient algorithm to approach a local optimum. Moreover, it is improved by using simulated annealing type optimization to increase the likelihood of the global optimum. The proposed method allows for flexible number of nodes, receive antennas, modulated symbols and flexible length of codewords. Simulation results confirm the performance of the newly-proposed delay-tolerant LDCs.