958 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28

These results are plotted in charts V and VI.
We see that if we consider only the values of # below 10,
‘he only values which it is realistic to consider, then, although
the auxiliary parameter T has a wide range of variation when
w and » change, the values of the parameter ©, (which are of
economic significance since ®, is the length of the amortisation
perlod for à -p=0) varv but little.

Here, T tends to a limit. Consequently ©, increases indefinitely and
ve have

I)

Ye (i—p)— ow] on
8 i — Yo en) (7—p)

b) yoli—p)<w <1.
Here, T tends to zero, and

2)
Now in this case.

3)

A wvnwnT.

nt 2
0 — Ye (2 -

LC

:0 that

LN
4j

0

Opp Tet

tn)

In this case it is clear that according to the value taken by w, the corr--sponding
 value of ©, can take any valne greater than ve
For ev=1 we have

5)

0 —

PL = ye (i — g)]

For small (i—¢) this limit differs little from yc.
c) w = yc (i—p).
In this case we have

 — C—C

6)

p hT(i-e)

e TG"
Ye (g— 2)

LIT

and since T tends to zero

~
4;

=)

UT

so that ©. increases indefinitely.

11] Allais - pag. 262