On certain geometric aspects of portfolio optimisation with higher moments

We discuss geometric properties related to the minimisation of a portfolio kurtosis given its first two odd moments, considering a risk-less asset and allowing for short sales. The findings are generalised for the minimisation of any given even portfolio moment with fixed excess return and skewness, and then for the case in which only excess return is constrained. An example with two risky assets provides a better insight on the problems related to the solutions. The importance of the geometric properties and their use in the higher moments portfolio choice context is highlighted.

Optimal growth in a two-sector model without discounting: a geometric investigation

We characterize optimal policy in a two-sector growth model with xed coeÆcients and with no discounting. The model is a specialization to a single type of machine of a general vintage capital model originally formulated by Robinson, Solow and Srinivasan, and its simplicity is not mirrored in its rich dynamics, and which seem to have been missed in earlier work. Our results are obtained by viewing the model as a specific instance of the general theory of resource allocation as initiated originally by Ramsey and von Neumann and brought to completion by McKenzie. In addition to the more recent literature on chaotic dynamics, we relate our results to the older literature on optimal growth with one state variable: speci cally, to the one-sector setting of Ramsey, Cass and Koopmans, as well as to the two-sector setting of Srinivasan and Uzawa. The analysis is purely geometric, and from a methodological point of view, our work can be seen as an argument, at least in part, for the rehabilitation of geometric methods as an engine of analysis.

The distortion of currencies misalignments on trade Instruments: or why currencies wars are not over

The negotiations of mega agreements between the US and the Pacific countries (TPP) and between the US and the EU (TTIP) are raising the attention of experts on international trade law and economics. TPP and TTIP are proclaimed to be the designers of the rules for the XXI Century. Old trade instruments such as tariffs are said to be no more important for TTIP because tariffs are negligible among those partners but significant to for TPP. Another relevant agreement in negotiation is between the EU and Mercosul, where tariffs are the most important issue in discussion. The main purpose of this paper is to shows that tariff are important for all these agreements, not because of its nominal value, but because the impacts of exchange rate misalignments on tariffs are so significant that all concessions can be distorted by overvalued and by devaluated currencies. The article is divided into several sections: the first gives an introduction to the issue; the second explains the methodologies used to determine exchange rate misalignments and also presents some results for Brazil, US and China; the third summarizes the methodology applied to calculate the impacts of exchange rate misalignments on the level of tariff protection through an exercise of “misalignment tariffication” and examines the effects of exchange rate variations on tariffs and their consequences for the multilateral trading system; the fourth creates a methodology to estimate exchange rates against a basket of currencies (a virtual currency of the World) and a proposal to deal with persistent and significant misalignments related to trade rules. The fifth presents some estimates for the main PTAs. The conclusions are present in the last section