On a trade-weighted basis, it is 2.3% weaker than it was on June 18th.
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One is that these returns are calculated on a time-weighted, rather than asset-weighted basis.
His conclusion: from 1998-2010 the index returned only 2.1% annualized on a money-weighted basis, not 7.3%.
The euro has appreciated nearly 8 per cent since July on a trade-weighted basis.
On a trade-weighted basis the dollar today is close to where it was before Lehman failed.
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The pound has risen about 6%, on a trade weighted basis, since October, and the FTSE is only slightly higher.
On an equal-weighted basis, the nine biggest sports tv advertisers sank an average of 1.2% in 2011 and have increased 4.1% year-to-date.
Between September 2008 (when Lehman Brothers failed) and March 2009 (when America's stockmarkets hit bottom), the dollar rose by almost 13% on a trade-weighted basis.
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In fact, the decline of the dollar has already begun measured on a trade-weighted basis, it is now around 10% below the level a year ago.
In America, Japan's competitive cars and the value of the yen (at a 20-year low on a trade-weighted basis) threaten to become political issues again.
After a welcome appreciation alongside a stronger dollar in 2008, China's currency has fallen on a trade-weighted basis in recent weeks as the dollar has tumbled.
Markets believed him, with Japanese equities gaining nearly 20% in the third quarter and the yen weakening 12% both against the U.S. dollar and on a trade weighted basis.
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This week, it reached its lowest level in eight months on a trade-weighted basis, according to the Fed, and is within a whisker of an all-time low against the euro.
Corrected for deflation and on a trade-weighted basis, including trading partners such as Switzerland with robust currencies, the yen has been relatively flat since the 1980s, according to a Bank of Japan analysis.
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The debate as to the correct way to represent the stock market and hence the economy is not a new phenomena and for many decades, the cap-weighted basis has held sway as the best representation.
After rising 7%, the yuan again stopped appreciating in early August as the world economy threatened to come unglued and as investors fled the euro for the dollar, which rose sharply on a trade-weighted basis.
According to Deutsche Bank, Verizon has about 18 percent of all available spectrum on a population-weighted basis (including the spectrum recently obtained from SpectrumCo), compared to about nine percent each for Sprint and T-Mobile.
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Sterling has fallen more than 1% on a trade-weighted basis from its late-September highs on fears that the U.K. economy could contract again in the final three months of 2012 after having only pulled out of recession in the previous quarter.
The BRIC countries generated nominal GDP growth of 15.5% on a weighted-average basis in 2011.
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Since the new Europe-wide rule to strengthen banks is that they must - by the middle of 2012 - have a minimum of 9% capital on a Basel 2.5 basis relative to their risk-weighted assets, after allowing for the fall in the price of their holdings of the debts of over-indebted eurozone countries, by definition it is the banks in those over-indebted eurozone countries that emerge as weakest.
We define non-GAAP EPS as non-GAAP net income divided by the weighted average outstanding shares, on a fully-diluted basis.
Last year Moody's issuer-weighted default rate was 11.11% on a 12-month trailing basis.
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