354 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
Chart IV represents the variation of À with n for different 
values of w. The reader is reminded at this point that it follows 
from the discussion in § 336 that amortization will be more 
or less rapid than in the exponential model according as A is 
less than or greater than unity. 
Thus we see that over a wide range of variation of w, the 
properties of the model considered are near those of the exp- 
rnenhal model. 
Analogous calculations could of course be undertaken for 
the general case discussed in § 510. They would show that in 
the majority of cases which can reasonably be envisaged, the 
value of A remains fairly near unity. 
Determination of w 
533. In any case, it should be clearly understood that when 
the value of Yc is given. the range of variation of u=T1/T is 
limited. 
For we have (!) 
I I—U> w 
_ Tos ms ts --- ss ue 
(533-1) Yo (i—p) I+Ti7 0) 1+T(i-p)] 
To simplify the discussion, take 
533-2) 
1 -0=0 
which can be considered as a valid first approximation since 
1 —p ts small. Then 
555-3) 
Yolt -0)= ©, 
(1) Relation (526-11). 
ir] Allais - pag. 258