The Spectrum of Random Matrices

The Frobenius eigenvector of a positive square matrix is obtained by iterating the multiplication of an arbitrary positive vector by the matrix. Bródy (1997) noticed that, when the entries of the matrix are independently and identically distributed, the speed of convergence increases statistically with the dimension of the matrix. As the speed depends on the ratio between the subdominant and the dominant eigenvalues, Bródy's conjecture amounts to stating that this ratio tends to zero when the dimension tends to infinity. The paper provides a simple proof of the result. Some mathematical and economic aspects of the problem are discussed.     

A monotonicity law for relative prices

Summary It is shown that relative prices of production, which depend on the rate of profit in a complicated manner, satisfy nevertheless a simple monotonicity law when the Hilbert's projective metric is used as a measure.     

Liquidity and Expected Returns: Lessons from Emerging Markets

Given the cross-sectional and temporal variation in their liquidity,emerging equity markets provide an ideal setting to examinethe impact of liquidity on expected returns. Our main liquiditymeasure is a transformation of the proportion of zero dailyfirm returns, averaged over the month. We find that it significantlypredicts future returns, whereas alternative measures such asturnover do not. Consistent with liquidity being a priced factor,unexpected liquidity shocks are positively correlated with contemporaneousreturn shocks and negatively correlated with shocks to the dividendyield. We consider a simple asset-pricing model with liquidityand the market portfolio as risk factors and transaction coststhat are proportional to liquidity. The model differentiatesbetween integrated and segmented countries and time periods.Our results suggest that local market liquidity is an importantdriver of expected returns in emerging markets, and that theliberalization process has not fully eliminated its impact.     

L-performance with an application to hedge funds

This paper introduces a new parametric fund performance measure, called the L-performance. The L-performance is an alternative to the Sharpe performance, which is commonly used in practice despite its inability to account for skewness and heavy tails of unconditional return distributions. The L-performance improves upon the Sharpe measure in this respect. Technically, it resembles the Sharpe measure in that it is defined as a ratio of the first- and second-order moments, which are the trimmed L-moments instead of the conventional (power) moments. The trimming parameters allow for focusing the L-performance on specific risk levels of interest, according to financial risk criteria. For illustration, a set of L-performances is computed for a variety of hedge funds. The empirical study shows the use of L-performance for fund ranking and return smoothing (manipulation) control.     

Remittances and economic growth in Africa, Asia, and Latin American-Caribbean countries: a panel unit root and panel cointegration analysis

This study estimates the macroeconomic impact of remittances and some control variables such as openness of the economy, capital/labor ratio, and economic freedom on the economic growth of African, Asian, and Latin American-Caribbean countries using newly developed panel unit-root tests, cointegration tests, and Panel Fully Modified OLS (PFMOLS). We use annual panel data from 1985–2007for 64 countries consisting of 29 from Africa, 14 from Asia, and 21 from Latin America and the Caribbean region, respectively. We find that remittances, openness of the economy, and capital labor ratio have positive and significant effect on economic growth for all regions as a group and in each of the three in study. While the economic freedom index also has a positive and significant effect on growth in Africa and Latin America, however, its effect on the economic growth of Asia is mixed.     

Prices of Goods' and ‘Bads’: An Application of the Ricardian Theory of Differential Rent

Pollutants, wastes and scrap appear as joint products of consumption or production processes. Leontief and other authors extend input–output (IO) tables such that additional products and industries, respectively, account for pollutants and abatement activities; they also analyze the effects of pollution control policies, by means of traditional IO methods. This approach does not account for choice of technique and, therefore, neglects the possibility of substitution. This paper proposes to utilize Ricardo's theory of differential rent, which is based on the possibility of coexisting technical alternatives.