Rational expectations and the logic of budget constraints imply that the predictability of asset returns hinges on the stability and persistence of households' ratio of saving to asset wealth, not of consumption to total wealth. This misalignment undermines the rationale for Lettau and Ludvigson's estimated cay, a stationary but unduly loose approximation to the true but non-mean-reverting cay. Definitional considerations on saving, assets and returns suggest rehabilitating money in the households'  flow of funds identity. Accounting for money balances in cay restores stationarity, but at the cost of drastically lower persistence and predictive potential. 
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Paper provided by Netherlands Central Bank, Research Department in its series DNB Working Papers with number
189.
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Find related papers by JEL classification: E01 - Macroeconomics and Monetary Economics - - General - - - Measurement and Data on National Income and Product Accounts and Wealth E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
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