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An exercise in hedonic
alchemy
The Boskins Commission
has recently argued that the measure of the CPI in the US may well over
overstate price inflation by up to 1.1% per year - a figure that has
come under criticism for being too high. This is due to the failings of
the index to account for substitutions to cheaper alternatives and to
account for quality improvements. Consequently, allowing for some room
for downside risk, the Federal Reserve is unlikely to consider it
desirable for inflation to fall below 2%..
www.g7.utoronto.ca/evaluations/1997denver/compliance/us/usamac.htm
Have you ever wondered
how come US inflation can remain so low when we know that prices of so
many things have been going up year after year at a rate quite a bit
higher than the official inflation rate?
The answer is easy –
just read the first paragraph again. Focus on just one thing: Inflation
is overstated by up to 1,1% a year because the index does not account
for substitutions and quality improvements.
Let us take a look at
what this means.
Substitutions first and
we will use some quite ridiculous examples to get the point across. Do
not make the mistake of laughing at the simple examples – rather start
crying because of what these mechanism do to the people who receive
Social Security payouts that are linked to inflation, and to others in a
similar situation.
Consider four things as
they stand at the beginning of January:
The price of an apple =
$1.00
The price of a pear =
$1,00
Inflation index = 100
Social Security payout
for pensioner X = $1000
At the end of January
the price of apples have risen to $1,10, while pears are still $1,00.
Calculating the inflation index for January, the Law of Substitution for
Cheaper Products says that people would have stopped buying apples and
bought pears instead. Since the price of pears are unchanged, there is
no change in the inflation index. So, at the end of January we have:
The price of an apple =
$1.10
The price of a pear =
$1,00
Inflation index = 100
Social Security payout
for pensioner X = $1000
The increased demand
for pears in January worked through the system so that at the end of
February the price of pears has risen to $1,25. However, it seems that
since there was a surplus of apples left over from January, the price of
apples did not change at all. Which, of course, means that when the
inflation index for February is calculated, the Law of Substitution for
Cheaper Products uses the price for apples as the basis for the
calculation.
This means that at the
end of February we have:
The price of an apple =
$1.10
The price of a pear =
$1,25
Inflation index = 100
Social Security payout
for pensioner X = $1000
Taking this reasoning
trough to its conclusion at the end of the year, we find that in
December we have
The price of an apple =
$1.40
The price of a pear =
$1,40
Inflation index = 100
Social Security payout
for pensioner X = $1000
There was no inflation!
What the buyer of
apples and pears think they observe is pure illusion – the fruit only
appear to be more expensive, because the Law of Substitution for Cheaper
Products says inflation was zero.
Of course, the
pensioner who still only receives a $1000 payout from Social Security
has by now stopped buying apples and pears and is eating bananas
instead.
What about quality
improvements?
Well, at the beginning
of the year bananas cost $1.00 a bunch. By December they were up to
$1.10 (soon to rise steeper as more pensioners on Social Security make
the switch from apples and pears). Luckily for the calculation of the
inflation index, the importation of bananas has switched from country A
to country B and now the bananas have 10% fewer black spots on the skin
than before.
This fact is taken into
regard when the inflation index is calculated and the result is that the
apparent price of $1.10 at the end of December is really still only
$1.00, because of the improvement in quality. In this best of all
possible worlds the inflation index remains at 100, to show that there
is no inflation – a fact that, since inflation is such a great big bogey
bear for central bankers, makes them very happy.
Of course, they are not
among the pensioners on a Social Security pension who very soon will not
be able to purchase any fruit at all. So who cares.
OK. The example is
ridiculous. But the principle stands.
Other ramifications
There are, of course, a
great many other ramifications of this system.
Consider just one of
the side effects of all this hedonic manipulation.
Assume the economy
consists of only two products – apples and pears. There are 1000
households and they each consume 5 units of fruit each month. We can
calculate a monthly GDP for this economy using, for simplicity sake, the
starting price for January for January’s GDP and later the ending price
for the calculation for December.
The year begins with a
GDP of 1000 x 5 x $1.00 = $5000.
The year then ends with
a GDP 1000 x 5 x $1.40 = $7000.
Gee golly! Great guns!
What fantastic growth! A massive 40% growth in one year and that with
not a whisker of a sign of any inflation. This achievement surely speak
wonders for the wisdom and ability of the central bankers. They deserve
not only a pat on the shoulder, but a very good bonus too, for a job
well done.
A really good bonus,
too, so that they can continue to afford buying apples and pears and not
have to switch to bananas like the pensioners.
Again, laugh at the
example if you will.
But then sit back and
really think hard for a while. You will realise that this is actually
happening out there. It is not a fairy tale. It is real life.
© 2004 Daan Joubert
daanj@kingsley.co.za
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