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We are reading the paper differently. They are treating both inflation rates and bond yields similarly, which to my ears sounds like each is starting at its respective current value and gradually regressing toward its historical mean:Pfau & Dokken also assumed that long-term bond returns would be perturbed modestly from its present low rate of return. But they also hypothesized that annual inflation rates would average 3%. That’s lower than the historical average, but is not consistent with the postulated depressed long-term bond annual rate of return.
The difference, or error, to the extent there is one, is not in how the two data sets were treated, but in their starting points.With the correlated error terms, inflation is modeled as a first order autoregressive process starting from 1.58% inflation in 2013 and trending toward its historical average over time with its historical volatility. Bond yields are similarly modeled with a first order autoregression with an initial value of 1.88% (the 10-year Treasury rate in January 2015).
The 4% rule isn't worth much. I posted this in another thread on how to estimate for retirement.WHY 4% COULD FAIL
Sep 1, 2015 • Wade Pfau & Wade Dokken
According to the authors, the arithmetic is anything but simple (which might explain why I can't explain it either):Actually, I think the key 'math' involved is simple subtraction.
"And generally, a 1% fee lowers the sustainable spending rate by 0.5% to 0.6%."
What would your recommendation be?Why would anyone ever do 10% bonds at age 35?
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