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On Vickrey's Income Averaging / Stefan Steinerberger, Aleh Tsyvinski.
- Format:
- Book
- Author/Creator:
- Steinerberger, Stefan.
- Series:
- Working Paper Series (National Bureau of Economic Research) no. w27024.
- NBER working paper series no. w27024
- Language:
- English
- Physical Description:
- 1 online resource: illustrations (black and white);
- Place of Publication:
- Cambridge, Mass. National Bureau of Economic Research 2020.
- Summary:
- We consider a small set of axioms for income averaging - recursivity, continuity, and the boundary condition for the present. These properties yield a unique averaging function that is the density of the reflected Brownian motion with a drift started at the current income and moving over the past incomes. When averaging is done over the short past, the weighting function is asymptotically converging to a Gaussian. When averaging is done over the long horizon, the weighing function converges to the exponential distribution. For all intermediate averaging scales, we derive an explicit solution that interpolates between the two.
- Notes:
- Print version record
- April 2020.
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