Public debt/Addendum: Difference between revisions

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imported>Nick Gardner
(New page: {{subpages}} :::ΔD = (D + F + Dr)/{Y(1 + r)} - D/Y let 1/{Y(1 + g)} = A then: :::= A(D + F ...)
 
imported>Nick Gardner
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:::= {F + D(r - g)}/{Y(1 + g)}
:::= {F + D(r - g)}/{Y(1 + g)}
or, approximately
or, approximately
:::= {F + D(r - g)}/Y
:::= {F + D(r - g)
:::= F/Y +(r - g)D/Y
putting F/Y = f  andD/Y = d:
:::= f + d(r - g)

Revision as of 17:49, 20 March 2009

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This addendum is a continuation of the article Public debt.
ΔD = (D + F + Dr)/{Y(1 + r)} - D/Y

let 1/{Y(1 + g)} = A then:

= A(D + F + Dr) - D/Y
= A( D + F + Dr  - D/AY)
= A( D + F + Dr - D - Dg)

substituting for A:

= {F + D(r - g)}/{Y(1 + g)}

or, approximately

= {F + D(r - g)
= F/Y +(r - g)D/Y

putting F/Y = f  andD/Y = d:

= f + d(r - g)