Generating Cycles in a Century of Prices 



53 



Fourier consiitucnt or 19 2 YtARs 



Figure 13. Sauerbeck's index numbers of general wholesale prices. 

 Equation to the upper smooth curve: y = 88.6 + 11.2 sin (-—*- t + 342°) + 



13.8 sin (3 <!-0°i + 55°) + 5.3 sin (|-|^< + 52°), origin at 1818. 



Fourier Cohsthuent of 16 yeam 



Figure 14. Sauerbeck's index numbers of general wholesale prices. 

 Equation to the upper smooth curiae: y = 8S.0 +11.2 sin {—-^ t + 342°) + 



13.8 sin (3f!_0°i + 55°) + 5.3 sin (?-l*L°< + 52^) + 3.6 sin (.?^^°t + 343°). 

 4 8 19.2 lb 



origin at 1818. 



