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FYI John Greenlees is the Asst. Comm. of Labor Statistics for Consumer
Prices and Price Indexes.

----------
From:   Greenlees_J
Sent:   Wednesday, April 01, 1998 9:17 AM
To:     DCPPISTAFF; Bubba_CPI
Subject:        New CPI Formula

The BLS announced today that neither the arithmetic mean formula nor the
geometric mean formula is appropriate for the shelter component of the
CPI.
Instead, Rent and REQ [Homeowners' Equivalent Rent] will employ the
so-called "Golden Mean" formula originally defined by Horace and used in
many Latin-speaking countries.

The Golden Mean is appropriate for an egalitarian consumer utility
function and is exact for the cost-of-living index when all consumers
receive adequate shelter.  As Horace writes (Odes, x, l 5) 
"Whoever cultivates the golden mean avoids both the poverty of a hovel
and the envy of a palace."

The Golden Mean also works well under the "Test Approach" to index
numbers because it satisfies the Golden Rule test, i.e.:
"When the price of item i increases, the index cannot rise by more than
item i would want it to rise if the price of item j increased, if item j
were in item i's place."

Few writers have expressed opposition to the Golden Mean, although some
comments are somewhat delphic and difficult to interpret.  For example,
Garcia, in "The Golden Road (To Unlimited Devotion)" writes

"Take a vacation, fall out for a while
Summer's coming in, winter's goin' out in style
Well, light out smokin', honey, have yourself a ball
'Cause your mama's gone to Memphis
She won't be back 'til the fall."

Implementation of the Golden Mean formula for Rent and REQ must be
accomplished by April 1, 1999.





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