Virmani, V. (2004). Operationalising Taylor-type Rules for the Indian Economy: Issues and
Some Results. Indian Institute of Management Ahmedabad Working Paper 2004-07-04.
A Summary of One-Sector Model
A.1 Dynamic Model
The following summarizes the dynamic model for both one-sector models of sections 2 and
3. Note that the baseline model in section 2 puts λ = 0 and shuts down the financial
accelerator.
Λt =
ΛC2,t =
ΛL,t =
ΛC2,t =
Λ L,t =
ΛC2,t
Lt ≡
C1,t =
Cte =
Ct =
YW
Yt =
Yt =
PW
tJF Fh,t =
Pt
Pt =
Kt+1 =
Xt ≡
Qt(1 - S(Xt) - XtS0(Xt)) +
Et[(1 + Rt+1)Θt+1] =
1 + Rk,t =
Θt =
(C2(1t-%)
Λ(C2,t,Lt)= 2,t 1
Lt%)1-σ - 1
-σ
(1 - %)C2(1,t-%)(1-σ)-1(1 - ht)%(1-σ))
%C2(1t-%)(1-σ)Lt%(1-σ)-1
βEt [(1 + Rt+1)ΛC2,t+1]
Wt
Pt
1 - ht
Wtht
Pt
1—e Nt
ξe
λC1,t + (1 - λ)C2,t + Cte
(At, ht, Kt) = (Atht)αKt1-α
(1 - c)YtW
PtW αYtw _ Wt
~~hΓ = Pf
1 P w
1 - 1
(1 - δ)Kt + (1 - S(Xt))It
It
It-1
Et
It2
(1 + Rt+1 )
Qt +ι S ( Zt+ι) -+± =1
It
Et[1 + Rk,t+1]
WW
(1 - αI ) ~Ppj~ ~Kô~ + (1 - δ) Qt
Qt-1
-(QN:,..).....-(QNκ)
χ
RPSt
34
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