SLIDE 11 TECHNICAL NOTE: DSGE MODEL
𝑰𝒑𝒗𝒕𝒇𝒊𝒑𝒎𝒆 𝑽𝒖𝒋𝒎𝒋𝒖𝒛 𝑮𝒗𝒐𝒅𝒖𝒋𝒑𝒐: 𝜒 log 𝑌𝑢
𝛿 𝜄𝑑𝑢 𝜍 + 1 − 𝜄 𝑓𝑢 𝜍 1−𝛿 𝜍
+ 1 − 𝜒 log(1 − 𝑚𝑢)
𝑰𝒑𝒗𝒕𝒇𝒊𝒑𝒎𝒆 𝑺𝒇𝒕𝒑𝒗𝒔𝒅𝒇 𝑫𝒑𝒐𝒕𝒖𝒔𝒃𝒋𝒐𝒖: 𝑙𝑢+1 + 𝑑𝑢 + 𝑜. 𝑌𝑢 + 𝑟𝑢
𝑓. 𝑓𝑢 = 1 − 𝜐𝑚 𝑥. 𝑚𝑢 + ъ + 1 − 𝜐𝑙 𝑠. 𝑙𝑢 +(1 − 𝜀)𝑙𝑢 + 𝜌
𝑯𝒑𝒘𝒇𝒔𝒐𝒏𝒇𝒐𝒖 𝑺𝒇𝒕𝒑𝒗𝒔𝒅𝒇 𝑫𝒑𝒐𝒕𝒖𝒔𝒃𝒋𝒐𝒖: 𝜐𝑚. 𝑥. 𝑚𝑢 + +𝜐𝑙. 𝑠. 𝑙𝑢 +(𝑤𝑛−𝜀𝐷) 𝑛𝐽,𝑢 + 𝑛𝐻,𝑢 + 𝑛𝐷,𝑢 + 𝑄𝐻. 𝐻𝑢 − 𝑠. 𝑙𝐻,𝑢 − 𝑥. 𝑚𝐻,𝑢 −𝑤𝑛. 𝑛𝐻,𝑢 − ъ = 𝑐
𝑸𝒔𝒑𝒆𝒗𝒅𝒖𝒋𝒑𝒐 𝑮𝒗𝒐𝒅𝒖𝒋𝒑𝒐𝒕: 𝑍
1,𝑢=𝐵1,𝑢 𝑍 𝑚𝑍1,𝑢 𝛽,1 [ 1 − 𝛺𝑍1 𝑙𝑍1,𝑢 −𝜉,1 + 𝛺𝑍11,𝑢 −𝜉,1]−1−𝛽𝑍1
ύ,1
𝑍
2,𝑢=𝐵2,𝑢 𝑍 𝑚𝑍2,𝑢 𝛽,2 [ 1 − 𝛺𝑍2 𝑙𝑍2,𝑢 −𝜉,2 + 𝛺𝑍22,𝑢 −𝜉,2]−1−𝛽𝑍2
ύ,2
𝑍
2,𝑢=𝐵2,𝑢 𝑍 𝑚𝑍2,𝑢 𝛽,2 [ 1 − 𝛺𝑍2 𝑙𝑍2,𝑢 −𝜉,2 + 𝛺𝑍2(2 − ) 𝜉,2]−1−𝛽𝑍2
ύ,2 [when grid connected]
𝑌𝑢=𝐵𝑢
𝑌𝑚𝑌,𝑢 𝛽𝑌[ 1 − 𝛺𝑌 𝑙𝑌,𝑢 −𝜉𝑡 + 𝛺𝑌𝑡𝑢 −𝜉𝑡]−1−𝛽𝑌
ύ𝑡𝑡
𝐻𝑢= 𝐵𝑢
𝐻𝑚𝐻,𝑢 𝛽𝐻
1 − 𝛺𝐻 𝑙𝐻,𝑢
−𝜉𝑛,𝐻 + 𝛺𝐻𝑛𝐻,𝑢 −𝜉𝑛,𝐻 −
𝜘𝐻 𝜉𝑛,𝐻𝐻
𝐽𝑢=𝐵𝑢
𝐽𝑚𝐽,𝑢 𝛽𝐽
1 − 𝛺𝐽 𝑙𝐽,𝑢
−𝜉𝑛,𝐽 + 𝛺𝐽𝑛𝐽,𝑢 −𝜉𝑛,𝐽 − 𝜘𝐽
𝜉𝑛,𝐽𝐽
2,𝑢=𝐵𝑢
𝐷𝑚𝐷,𝑢 𝛽𝐷[ 1 − 𝛺𝐷 𝑙𝐷,𝑢 −𝜉𝑛,𝐷 + 𝛺𝐷𝑛𝐷,𝑢 −𝜉𝑛,𝐷]−
𝜘𝐷 𝜉𝑛,𝐷𝐷
𝑆𝑢= 𝐵𝑢
𝑆𝑚𝑆,𝑢 𝛽𝑆[ 1 − 𝛺𝑆 𝑙𝑆,𝑢 −𝜉𝑆 + 𝛺𝑆ℎ𝑢 −𝜉𝑆]−
𝜘𝑆 𝜉𝐼,𝑆𝑆
11
Sakib Amin Tooraj Jamasb Manuel Llorca Laura Marsiliani Thomas Renström 5th ERG Summer Conference on Economic Research 20 July 2019 Dhaka, Bangladesh