Managing Macroeconomic Crises

This study reviews broadly the experience of the last decade on crisis prevention and management. It seeks to draw greater attention to policy decisions that are made during the phase when capital inflows come to a sudden stop. Procrastination---the period of financing a balance of payments deficit rather than adjusting---had serious consequences in some cases. Crises are more frequent and more severe when short-term borrowing and dollar denomination external debt are high, and foreign direct investment (FDI) and reserves are low, in large part because balance sheets are then very sensitive to increases in exchange rates and short-term interest rates. If countries that are faced with a fall in inflows adjusted more promptly, rather than stalling for time by running down reserves or shifting to loans that are shorter-termed and dollar-denominated, they might be able to adjust on more attractive terms.

Assessing China's Exchange Rate Regime

This paper examines two related issues: (a) the implicit methodology used by the U.S. Treasury in determining whether China and America's other trading partners manipulate their exchange rates, and (b) the nature of the Chinese exchange rate regime since July 2005. On the first issue, we investigate the roles of economic variables consistent with the IMF definition of manipulation - the partners' overall current account/GDP, its reserve changes, and the real overvaluation of its currency - but also some variables suggestive of American domestic political considerations -- the bilateral trade balance, US unemployment, and an election year dummy. The econometric results suggest that the Treasury verdicts are driven heavily by the US bilateral deficit, though other variables also turn out to be quite important. On the issue of China's de facto exchange rate regime, we apply the technique introduced by Frankel and Wei (1994) to estimate implicit basket weights, adding several refinements. Within 2005, the de facto regime remained a peg to the dollar. However, there was a modest but steady increase in flexibility subsequently. We test whether US pressure has promoted RMB flexibility. We also test whether the recent appreciation against the dollar is due to a trend appreciation against the reference basket or a declining weight on the dollar in the reference basket, and suggest that they have different policy implications.

Smoothed Analysis of the Condition Numbers and Growth Factors of Matrices

Let \orig{A} be any matrix and let $A$ be a slight random perturbation of \orig{A}. We prove that it is unlikely that $A$ has large condition number. Using this result, we prove it is unlikely that $A$ has large growth factor under Gaussian elimination without pivoting. By combining these results, we bound the smoothed precision needed by Gaussian elimination without pivoting. Our results improve the average-case analysis of Gaussian elimination without pivoting performed by Yeung and Chan (SIAM J. Matrix Anal. Appl., 1997).Comment: corrected some minor mistake