Proof of Growth Rates in Harrod-Domar Model

[puertocolon]

So this is the basic rules:
Y=C+S
S=sY
s= S/Y= ΔS/ΔY
, v= K/Y or Y= K/v
I= ΔK


From this show that:
ΔC/C = s/v
Y,S,C, I, K represent income, consumption, savings, caiptal stock and investment. with s and v as multipliers. I am working off the harod-domar growth models which says that the growth rates of income, savings, investment are equal (s/v).

So algebraically I must also show that consumption growth rate = s/v.



Here's the proof for capital stock growth rate:
ΔK/k= I/K= S/K= (S/Y)/(K/Y)= s/v

 

[EnumaElish]

Can you show growth rate of income = s/v?

 

[puertocolon]

Can you help

No i cannot

 

[EnumaElish]

Y= K/v implies ΔY/Y = ΔK/K = s/v. (ΔY/Y = ΔK/K - Δv/v; but Δv = 0 since v is a constant.) Does this help?

 

[puertocolon]

Starting to can explained to me in detail if possible? Then perhaps we can put it in Algebraic correct form?

 

[puertocolon]

I meant to say Can YOU explain in detail >>>>> ( LOL )

 

[puertocolon]

Also i need help solving change of C/ C = s/v i need to prove that

 

[EnumaElish]

You are given Y= K/v, where v is a constant. This implies ΔY= ΔK/v. Therefore vΔY= ΔK and vΔY/Y= ΔK/Y. Since Y = K/v, vΔY/Y= vΔK/K and the v's cancel out.

You can use this method to derive ΔC/C.

 

[puertocolon]

Can you or anyone deirive it for me?

 

[EnumaElish]

I gave you the formula for ΔY/Y. How do you tie ΔC to ΔY?