334 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
This table shows clearly the influence of # on the results. 
It can be seen that the average amortization period ® is in 
all cases very near to the value of yc. The value of ®, remains 
practically unchanged as is also the case for Rg/R,. The loss 
of real income (Rom - Re)/Rou is very low in all cases, and 
furthermore the value of this expression declines as # increases. 
The only quantities to vary appreciably correspond to the 
amortisation schedule, as can be seen from the values of the 
integral [,, [7 and [3 of oe). 
Charts I, IT and III represent the variations of the functions 
30). 0), [* 90) db 
for n equal to I, 2, 3 and 5. It will be seen that the elasticity 
3(0) declines more rapidly for higher values of #. Similarly, 
amortisation is the more rapid for high n, but while the diff- 
erences are real ones, thev are not substantial. 
Very High Value of n 
We can have a good idea of what happens when # takes on 
high values by considering what the formulae already given 
become when # is infinitely large. We have then (1) 
(523-2) 
523-3 
olu)=e ©" 
9 = @, 
(1) 
From 
$ 
521 
‘11] Allais - pag. 238