1042 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
Acceleration Relationships: 
21 
Y(t) = L® 
b, is the capital coefficient (capital-output ratio) describing 
the amount of capital required per additional unit of annual 
GNP. 
Growth Rate equation, obtained from (1) and (2): 
St 
——— oO 
yo) = 
A 
V.(£) — 
Ÿ, 
Exponential Growth Function, obtained by solving (3): 
4) Y,(®) = Y, (0) eMt , à, — 11 
1x = 
A. 
where Y,(0) represents the level of the GNP in the base 
year 0 and À, its growth rate, which remains constant as 
long as :, and b, are fixed. 
The amount transferred from the Developed to the Under- 
developed Areas is assumed to constitute a fixed fraction, h, 
of the GNP of the capital-exporting countries. Thus, the fol- 
lowing Transfer relationship, which is derived from equa- 
tions (4) above, implies that H(¢), the amount transferred, will 
grow exponentially at the same rate as the Developed Areas’ 
GNP: 
Transfer relationship: 
1 
H(#)=RY,({) = RY, (0)e 
‘13] Leontief - pag. 4