Aoki, Shuhei and Kitahara, Minoru (2008): Measuring the Dynamic Cost of Living Index from Consumption Data.
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In the U.S., the objective of consumer price index (CPI) measurement is to measure the cost of living. However, the current CPI or, in other words, cost of living index (COLI) measures the cost of living in a static optimization problem. This paper proposes a new method to construct a dynamic cost of living index (DCOLI). Our method offers several advantages compared to other dynamic cost of living indices proposed in the literature. First, our measure is based on total wealth. Previous indices limited attention to financial wealth. Second, we consider an Epstein-Zin preference structure. Most previous literature has used log preferences. We derive formulas that relate our DCOLI to the COLI and derive conditions under which the two coincide. We also produce empirical measures of our DCOLI. We find that under standard assumptions on preferences, the volatility of our DCOLI is about the same as that of the COLI. In certain periods, e.g., 1977–1983, our measure differs sharply from the COLI.
|Item Type:||MPRA Paper|
|Original Title:||Measuring the Dynamic Cost of Living Index from Consumption Data|
|Keywords:||dynamic cost of living index; cost of life; CPI|
|Subjects:||C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C43 - Index Numbers and Aggregation
E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E31 - Price Level; Inflation; Deflation
D - Microeconomics > D9 - Intertemporal Choice and Growth > D91 - Intertemporal Consumer Choice; Life Cycle Models and Saving
|Depositing User:||Shuhei Aoki|
|Date Deposited:||04. Aug 2008 05:51|
|Last Modified:||12. Feb 2013 23:58|
Alchian, Armen A. and Benjamin Klein (1973) ``On a Correct Measure of Inflation'', Journal of Money, Credit and Banking, Vol. 5, No. 1, pp. 173–91.
Bansal, Ravi and Amir Yaron (2004) ``Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles'', Journal of Finance, Vol. 59, No. 4, pp. 1481–1509.
Braun, R. Anton, Julen Esteban-Pretel, Toshihiro Okada, and Nao Sudou (2006) ``A Comparison of the Japanese and U.S. Business Cycles'', Japan and the World Economy, Vol. 18, No. 4, pp. 441–463.
Bryan, Michael F., Stephen G. Cecchetti, and Roisin O’Sullivan (2001) ``Asset Prices in the Measurement of Inflation'', De Economist, Vol. 149, No. 4, pp. 405–431.
Bureau of Labor Statistics (2007) ``The Consumer Price Index'', in BLS Handbook of Methods, Chap. 17. Available at http://www.bls.gov/opub/hom/pdf/homch17.pdf.
Campbell, John Y. (1993) ``Intertemporal Asset Pricing without Consumption Data'', American Economic Review, Vol. 83, No. 3, pp. 487–512.
Campbell, John Y. (1996) ``Understanding Risk and Return'', Journal of Political Economy, Vol. 104, No. 2, pp. 298–345.
Epstein, Larry G. and Stanley E. Zin (1991) ``Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis'', Journal of Political Economy, Vol. 99, No. 2, pp. 263–86.
Jagannathan, Ravi and Zhenyu Wang (1996) ``The Conditional CAPM and the Cross-Section of Expected Returns'', Journal of Finance, Vol. 51, No. 1, pp. 3–53.
Lettau, Martin and Sydney Ludvigson (2001) ``Consumption, Aggregate Wealth, and Expected Stock Returns'', Journal of Finance, Vol. 56, No. 3, pp. 815–849.
Lustig, Hanno and Stijn Van Nieuwerburgh (2006) ``The Returns on Human Capital: Good News on Wall Street is Bad News on Main Street'', Review of Financial Studies, p. hhl035.
Lustig, Hanno, Stijn Van Nieuwerburgh, and Adrien Verdelhan (2008) ``The Wealth-Consumption Ratio'', NBER Working Papers 13896, National Bureau of Economic Research, Inc.
Pollak, Robert Andrew (1975) ``The Intertemporal Cost-of-Living Index'', Annals of Economic and Social Management, Vol. 4, No. 1, pp. 179–195.
Prescott, Edward C., Alexander Ueberfeldt, and Simona Cociuba (2005) ``U.S. Hours and Productivity Behavior Using CPS Hours Worked Data: 1959-I to 2004-IV''. Manuscript, Federal Reserve Bank of Minneapolis.
Reis, Ricardo (2005) ``A Cost-of-Living Dynamic Price Index, with an Application to Indexing Retirement Accounts'', CEPR Discussion Papers 5394, C.E.P.R. Discussion Papers.
Shibuya, Hiroshi (1992) ``Dynamic Equilibrium Price Index: Asset Prices and Inflation'', Monetary and Economic Studies, Vol. 10, No. 1, pp. 95–109.
Shiratsuka, Shigenori (1999) ``Asset Price Fluctuation and Price Indices'', Monetary and Economic Studies, Vol. 17, No. 3, pp. 103–28.