Trombones Adjusted for Inflation

 

In addition to being a software engineer, I also hold a Bachelor of Fine Arts in Musical Theatre, so when these two worlds collide, I get very excited.

Meredith Willson’s The Music Man has always been a favorite musical of mine (despite my perpetual outrage that it beat West Side Story and took the Tony Award home in 1957).

The Music Man

One of the most exciting numbers in the show is “Seventy-Six Trombones”, where Professor Harold Hill gets the town of River City, Iowa hyped about the possibility of their very own marching band.

The lyrics mention:

Seventy-six trombones led the big parade
With a hundred and ten cornets close at hand

With a new production being mounted on Broadway in 2020, I wondered how they would update the show for modern times.

One such way would be adjusting the number of trombones (and cornets for good measure) for inflation, having their number move in parallel with the buying power of the United States Dollar.

Getting The Data

USD inflation data is available in many locations, but a nice, neat table exists on the website for the US Inflation Calculator. The data we’re specifically looking for is CPI (Consumer Price Index).

CPI as defined by the Bureau of Labor Statistics is:

a measure of the average change over time in the prices paid by urban consumers
for a market basket of consumer goods and services.

Here’s the average data from 1913 to 2018:

yearcpi
19139.9
191410
191510.1
191610.9
191712.8
191815.1
191917.3
192020
192117.9
192216.8
192317.1
192417.1
192517.5
192617.7
192717.4
192817.1
192917.1
193016.7
193115.2
193213.7
193313
193413.4
193513.7
193613.9
193714.4
193814.1
193913.9
194014
194114.7
194216.3
194317.3
194417.6
194518
194619.5
194722.3
194824.1
194923.8
195024.1
195126
195226.5
195326.7
195426.9
195526.8
195627.2
195728.1
195828.9
195929.1
196029.6
196129.9
196230.2
196330.6
196431
196531.5
196632.4
196733.4
196834.8
196936.7
197038.8
197140.5
197241.8
197344.4
197449.3
197553.8
197656.9
197760.6
197865.2
197972.6
198082.4
198190.9
198296.5
198399.6
1984103.9
1985107.6
1986109.6
1987113.6
1988118.3
1989124
1990130.7
1991136.2
1992140.3
1993144.5
1994148.2
1995152.4
1996156.9
1997160.5
1998163
1999166.6
2000172.2
2001177.1
2002179.9
2003184
2004188.9
2005195.3
2006201.6
2007207.3
2008215.303
2009214.537
2010218.056
2011224.939
2012229.594
2013232.957
2014236.736
2015237.017
2016240.007
2017245.12
2018251.107

Analyzing The Data

Now that we have our historical data, all that’s left to do is some easy math.

But from which year should we start adjusting?

  • 1912 - The year The Music Man is set, or
  • 1957 - The year The Music Man premiered on Broadway?

Why not both?!

NOTE: We will be using the 2018 CPI because at the time of writing, 2019 is not over…and 2020 has not yet begun. So 2018 will get us as close as we can.

The math is:

Old trombones * (New CPI / Old CPI) = New trombones

So for 1912 dollars (really 1913 dollars is as close as we can get):

76 * (251.107 / 9.9) = 1927.6901010101008
110 * (251.107 / 9.9) = 2790.0777777777776

I can hear it now:

One thousand nine hundred and twenty-seven trombones led the big parade
With two thousand seven hundred and ninety cornets close at hand

Things are a little less impressive with 1957 money:

76 * (251.107 / 28.1) = 679.1506049822063
110 * (251.107 / 28.1) = 982.9811387900355

One more time:

Six hundred seventy-nine trombones led the big parade
With nine hundred eighty-two cornets close at hand

Dear Broadway,

I am available as a consult for historial brass-based inflationary accuracy.