From fb8ec6b49d757a78ef02a4c4993ad4962e59bf5d Mon Sep 17 00:00:00 2001 From: thorek1 Date: Sun, 10 Nov 2024 22:49:33 +0100 Subject: [PATCH] check stst nk mult --- test/check_steady_state_NK_multisector.jl | 292 ++++++++++++++++++++++ 1 file changed, 292 insertions(+) create mode 100644 test/check_steady_state_NK_multisector.jl diff --git a/test/check_steady_state_NK_multisector.jl b/test/check_steady_state_NK_multisector.jl new file mode 100644 index 00000000..96742bcf --- /dev/null +++ b/test/check_steady_state_NK_multisector.jl @@ -0,0 +1,292 @@ +C_a_t = 0.843677 +I_a_t = 0.156323 +N_a_t = 0.333 +K_a_t = 6.25292 +w_a_t = 1.02736 +rk_a_t = 0.0330645 +lambda_a_t = 1.40491 +Y_a_t = 1.77107 +Y_VA_a_t = 1 +PI_a_t = 1 +R_a_t = 1.00806 +pi_cpi_a_t = 1 +epsi_a_t = 1 +ZZ_a_t = 0.368091 +P_EM_t◖a◗ = 1e-07 +C_1_a_t = 0.0269017 +I_1_a_t = 0.000601718 +N_1_a_t = 0.0279155 +K_1_a_t = 0.400982 +Y_1_a_t = 0.0545679 +w_1_a_t = 0.512229 +epsi_1_a_t = 1.40156 +rk_1_a_t = 0.017393 +H_1_a_t = 0.0241999 +PH_1_a_t = 1 +P_1_a_t = 1 +pi_ppi_1_a_t = 1 +mc_1_a_t = 0.833333 +ZZ_1_a_t = 0.0104638 +Pen_1_a_t = 0 +EM_cost_1_a_t = 1.91758e-08 +mc_tild_1_a_t = 0.833333 +H_1_1_a_t = 0.00642061 +H_1_2_a_t = 3.89175e-05 +H_1_3_a_t = 0.00932995 +H_1_4_a_t = 0.000721941 +H_1_5_a_t = 0.000298 +H_1_6_a_t = 0.000394569 +H_1_7_a_t = 0.0048818 +H_1_8_a_t = 0.000200635 +H_1_9_a_t = 0.00176786 +H_1_10_a_t = 0.0001456 +C_2_a_t = 0.00133669 +I_2_a_t = 0.000155506 +N_2_a_t = 0.0016665 +K_2_a_t = 0.111555 +Y_2_a_t = 0.0146989 +w_2_a_t = 1.16487 +epsi_2_a_t = 0.875339 +rk_2_a_t = 0.0496488 +H_2_a_t = 0.00476926 +PH_2_a_t = 1 +P_2_a_t = 1 +pi_ppi_2_a_t = 1 +mc_2_a_t = 0.833333 +ZZ_2_a_t = 0.00591363 +Pen_2_a_t = 0 +EM_cost_2_a_t = 4.02317e-08 +mc_tild_2_a_t = 0.833333 +H_2_1_a_t = 1.45736e-05 +H_2_2_a_t = 0.000578474 +H_2_3_a_t = 0.00139011 +H_2_4_a_t = 0.000444587 +H_2_5_a_t = 6.17882e-05 +H_2_6_a_t = 0.000240718 +H_2_7_a_t = 0.0011113 +H_2_8_a_t = 0.000136757 +H_2_9_a_t = 0.000746133 +H_2_10_a_t = 4.48145e-05 +C_3_a_t = 0.28101 +I_3_a_t = 0.0409608 +N_3_a_t = 0.0737857 +K_3_a_t = 1.45981 +Y_3_a_t = 0.613678 +w_3_a_t = 1.32806 +epsi_3_a_t = 1.94744 +rk_3_a_t = 0.0410789 +H_3_a_t = 0.362107 +PH_3_a_t = 1 +P_3_a_t = 1 +pi_ppi_3_a_t = 1 +mc_3_a_t = 0.847458 +ZZ_3_a_t = 0.0939258 +Pen_3_a_t = 0 +EM_cost_3_a_t = 1.53054e-08 +mc_tild_3_a_t = 0.847458 +H_3_1_a_t = 0.018288 +H_3_2_a_t = 0.00780052 +H_3_3_a_t = 0.196089 +H_3_4_a_t = 0.0107081 +H_3_5_a_t = 0.0052163 +H_3_6_a_t = 0.00383752 +H_3_7_a_t = 0.0747126 +H_3_8_a_t = 0.00713891 +H_3_9_a_t = 0.0363452 +H_3_10_a_t = 0.00197119 +C_4_a_t = 0.0322728 +I_4_a_t = 0.00067671 +N_4_a_t = 0.00271055 +K_4_a_t = 0.447994 +Y_4_a_t = 0.0675678 +w_4_a_t = 2.11694 +epsi_4_a_t = 1.37903 +rk_4_a_t = 0.0303654 +H_4_a_t = 0.0322369 +PH_4_a_t = 1 +P_4_a_t = 1 +pi_ppi_4_a_t = 1 +mc_4_a_t = 0.763359 +ZZ_4_a_t = 0.15963 +Pen_4_a_t = 0 +EM_cost_4_a_t = 2.36251e-07 +mc_tild_4_a_t = 0.763359 +H_4_1_a_t = 7.09543e-05 +H_4_2_a_t = 0.00399719 +H_4_3_a_t = 0.00495812 +H_4_4_a_t = 0.0144643 +H_4_5_a_t = 0.000359222 +H_4_6_a_t = 0.00134387 +H_4_7_a_t = 0.00349504 +H_4_8_a_t = 0.000822982 +H_4_9_a_t = 0.00251887 +H_4_10_a_t = 0.000206307 +C_5_a_t = 0.0160318 +I_5_a_t = 0.000158239 +N_5_a_t = 0.00301706 +K_5_a_t = 0.334887 +Y_5_a_t = 0.0280522 +w_5_a_t = 1.52606 +epsi_5_a_t = 1.35232 +rk_5_a_t = 0.0159034 +H_5_a_t = 0.0132536 +PH_5_a_t = 1 +P_5_a_t = 1 +pi_ppi_5_a_t = 1 +mc_5_a_t = 0.826446 +ZZ_5_a_t = 0.00363734 +Pen_5_a_t = 0 +EM_cost_5_a_t = 1.29663e-08 +mc_tild_5_a_t = 0.826446 +H_5_1_a_t = 1.7837e-05 +H_5_2_a_t = 3.58241e-05 +H_5_3_a_t = 0.00326669 +H_5_4_a_t = 0.000631038 +H_5_5_a_t = 0.00316708 +H_5_6_a_t = 0.000679486 +H_5_7_a_t = 0.00199638 +H_5_8_a_t = 0.000564131 +H_5_9_a_t = 0.00272629 +H_5_10_a_t = 0.000168853 +C_6_a_t = 0.0101699 +I_6_a_t = 0.0796397 +N_6_a_t = 0.0337322 +K_6_a_t = 0.538614 +Y_6_a_t = 0.128707 +w_6_a_t = 0.831677 +epsi_6_a_t = 1.84457 +rk_6_a_t = 0.0209845 +H_6_a_t = 0.0670126 +PH_6_a_t = 1 +P_6_a_t = 1 +pi_ppi_6_a_t = 1 +mc_6_a_t = 0.826446 +ZZ_6_a_t = 0.00340145 +Pen_6_a_t = 0 +EM_cost_6_a_t = 2.64278e-09 +mc_tild_6_a_t = 0.826446 +H_6_1_a_t = 0.00011413 +H_6_2_a_t = 0.000378176 +H_6_3_a_t = 0.0243312 +H_6_4_a_t = 0.000479784 +H_6_5_a_t = 0.000292526 +H_6_6_a_t = 0.0239413 +H_6_7_a_t = 0.00817473 +H_6_8_a_t = 0.00119734 +H_6_9_a_t = 0.00777351 +H_6_10_a_t = 0.000329941 +C_7_a_t = 0.341433 +I_7_a_t = 0.0133585 +N_7_a_t = 0.111858 +K_7_a_t = 1.62437 +Y_7_a_t = 0.539223 +w_7_a_t = 1.1 +epsi_7_a_t = 2.37044 +rk_7_a_t = 0.0403803 +H_7_a_t = 0.180694 +PH_7_a_t = 1 +P_7_a_t = 1 +pi_ppi_7_a_t = 1 +mc_7_a_t = 0.684931 +ZZ_7_a_t = 0.0846595 +Pen_7_a_t = 0 +EM_cost_7_a_t = 1.57003e-08 +mc_tild_7_a_t = 0.684932 +H_7_1_a_t = 0.00191629 +H_7_2_a_t = 0.000288697 +H_7_3_a_t = 0.0396171 +H_7_4_a_t = 0.0053535 +H_7_5_a_t = 0.00165485 +H_7_6_a_t = 0.00612159 +H_7_7_a_t = 0.0771581 +H_7_8_a_t = 0.0113663 +H_7_9_a_t = 0.0348904 +H_7_10_a_t = 0.00232673 +C_8_a_t = 0.0569753 +I_8_a_t = 0.0112514 +N_8_a_t = 0.0121278 +K_8_a_t = 0.383131 +Y_8_a_t = 0.107071 +w_8_a_t = 1.34274 +epsi_8_a_t = 2.65261 +rk_8_a_t = 0.0345583 +H_8_a_t = 0.0280401 +PH_8_a_t = 1 +P_8_a_t = 1 +pi_ppi_8_a_t = 1 +mc_8_a_t = 0.537634 +ZZ_8_a_t = 0.00138689 +Pen_8_a_t = 0 +EM_cost_8_a_t = 1.2953e-09 +mc_tild_8_a_t = 0.537634 +H_8_1_a_t = 2.56337e-05 +H_8_2_a_t = 1.91954e-05 +H_8_3_a_t = 0.00479492 +H_8_4_a_t = 0.000486052 +H_8_5_a_t = 0.000140481 +H_8_6_a_t = 0.000637457 +H_8_7_a_t = 0.00414179 +H_8_8_a_t = 0.0102047 +H_8_9_a_t = 0.0065998 +H_8_10_a_t = 0.00099008 +C_9_a_t = 0.0249548 +I_9_a_t = 0.00858793 +N_9_a_t = 0.047249 +K_9_a_t = 0.662843 +Y_9_a_t = 0.153059 +w_9_a_t = 0.714744 +epsi_9_a_t = 2.08146 +rk_9_a_t = 0.0263645 +H_9_a_t = 0.0420824 +PH_9_a_t = 1 +P_9_a_t = 1 +pi_ppi_9_a_t = 1 +mc_9_a_t = 0.609756 +ZZ_9_a_t = 0.00299261 +Pen_9_a_t = 0 +EM_cost_9_a_t = 1.9552e-09 +mc_tild_9_a_t = 0.609756 +H_9_1_a_t = 0.000114685 +H_9_2_a_t = 5.23148e-05 +H_9_3_a_t = 0.00512261 +H_9_4_a_t = 0.000641782 +H_9_5_a_t = 0.000355907 +H_9_6_a_t = 0.00106851 +H_9_7_a_t = 0.00612423 +H_9_8_a_t = 0.00542195 +H_9_9_a_t = 0.0222368 +H_9_10_a_t = 0.000943623 +C_10_a_t = 0.0525906 +I_10_a_t = 0.000932501 +N_10_a_t = 0.0189375 +K_10_a_t = 0.288727 +Y_10_a_t = 0.0644456 +w_10_a_t = 0.865152 +epsi_10_a_t = 2.13923 +rk_10_a_t = 0.0267691 +H_10_a_t = 0.0166755 +PH_10_a_t = 1 +P_10_a_t = 1 +pi_ppi_10_a_t = 1 +mc_10_a_t = 0.632911 +ZZ_10_a_t = 0.00208004 +Pen_10_a_t = 0 +EM_cost_10_a_t = 3.2276e-09 +mc_tild_10_a_t = 0.632911 +H_10_1_a_t = 8.1786e-05 +H_10_2_a_t = 1.74092e-05 +H_10_3_a_t = 0.00280757 +H_10_4_a_t = 0.000687283 +H_10_5_a_t = 0.000316063 +H_10_6_a_t = 0.000632417 +H_10_7_a_t = 0.00263537 +H_10_8_a_t = 0.00179047 +H_10_9_a_t = 0.0039118 +H_10_10_a_t = 0.00379535 +EM_t = 175.281 + + +shock_P_EM_t◖a◗₍ₓ₎ = 0 + + +:(P_EM_t◖a◗₍₀₎ - (P_EM_ts◖a◗ + shock_P_EM_t◖a◗₍ₓ₎)), :(log(epsi_t◖a◗₍₀₎ / epsi_ts◖a◗) - (rho_eps◖a◗ * log(epsi_t◖a◗₍₋₁₎ / epsi_ts◖a◗) - shock_epsi_t◖a◗₍ₓ₎)), :(EM_t₍₀₎ - ((1 - rho_EM) * EM_t₍₋₁₎ + +((ZZ_t◖1◗◖a◗₍₀₎ + ZZ_t◖2◗◖a◗₍₀₎ + ZZ_t◖3◗◖a◗₍₀₎ + ZZ_t◖4◗◖a◗₍₀₎ + ZZ_t◖5◗◖a◗₍₀₎ + ZZ_t◖6◗◖a◗₍₀₎ + ZZ_t◖7◗◖a◗₍₀₎ + ZZ_t◖8◗◖a◗₍₀₎ + ZZ_t◖9◗◖a◗₍₀₎ + ZZ_t◖10◗◖a◗₍₀₎)))), :(Pen_t◖1◗◖a◗₍₀₎ - (gama0◖1◗◖a◗ + EM_t₍₀₎ * gama1◖1◗◖a◗ + gama2◖1◗◖a◗ * EM_t₍₀₎ ^ 2)), :(ZZ_t◖1◗◖a◗₍₀₎ - (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖1◗◖a◗ * Y_t◖1◗◖a◗₍₀₎), :(Pen_t◖2◗◖a◗₍₀₎ - (gama0◖2◗◖a◗ + EM_t₍₀₎ * gama1◖2◗◖a◗ + gama2◖2◗◖a◗ * EM_t₍₀₎ ^ 2)), :(ZZ_t◖2◗◖a◗₍₀₎ - (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖2◗◖a◗ * Y_t◖2◗◖a◗₍₀₎), :(Pen_t◖3◗◖a◗₍₀₎ - (gama0◖3◗◖a◗ + EM_t₍₀₎ * gama1◖3◗◖a◗ + gama2◖3◗◖a◗ * EM_t₍₀₎ ^ 2)), :(ZZ_t◖3◗◖a◗₍₀₎ - (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖3◗◖a◗ * Y_t◖3◗◖a◗₍₀₎), :(Pen_t◖4◗◖a◗₍₀₎ - (gama0◖4◗◖a◗ + EM_t₍₀₎ * gama1◖4◗◖a◗ + gama2◖4◗◖a◗ * EM_t₍₀₎ ^ 2)), :(ZZ_t◖4◗◖a◗₍₀₎ - (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖4◗◖a◗ * Y_t◖4◗◖a◗₍₀₎), :(Pen_t◖5◗◖a◗₍₀₎ - (gama0◖5◗◖a◗ + EM_t₍₀₎ * gama1◖5◗◖a◗ + gama2◖5◗◖a◗ * EM_t₍₀₎ ^ 2)), :(ZZ_t◖5◗◖a◗₍₀₎ - (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖5◗◖a◗ * Y_t◖5◗◖a◗₍₀₎), :(Pen_t◖6◗◖a◗₍₀₎ - (gama0◖6◗◖a◗ + EM_t₍₀₎ * gama1◖6◗◖a◗ + gama2◖6◗◖a◗ * EM_t₍₀₎ ^ 2)), :(ZZ_t◖6◗◖a◗₍₀₎ - (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖6◗◖a◗ * Y_t◖6◗◖a◗₍₀₎), :(Pen_t◖7◗◖a◗₍₀₎ - (gama0◖7◗◖a◗ + EM_t₍₀₎ * gama1◖7◗◖a◗ + gama2◖7◗◖a◗ * EM_t₍₀₎ ^ 2)), :(ZZ_t◖7◗◖a◗₍₀₎ - (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖7◗◖a◗ * Y_t◖7◗◖a◗₍₀₎), :(Pen_t◖8◗◖a◗₍₀₎ - (gama0◖8◗◖a◗ + EM_t₍₀₎ * gama1◖8◗◖a◗ + gama2◖8◗◖a◗ * EM_t₍₀₎ ^ 2)), :(ZZ_t◖8◗◖a◗₍₀₎ - (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖8◗◖a◗ * Y_t◖8◗◖a◗₍₀₎), :(Pen_t◖9◗◖a◗₍₀₎ - (gama0◖9◗◖a◗ + EM_t₍₀₎ * gama1◖9◗◖a◗ + gama2◖9◗◖a◗ * EM_t₍₀₎ ^ 2)), :(ZZ_t◖9◗◖a◗₍₀₎ - (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖9◗◖a◗ * Y_t◖9◗◖a◗₍₀₎), :(Pen_t◖10◗◖a◗₍₀₎ - (gama0◖10◗◖a◗ + EM_t₍₀₎ * gama1◖10◗◖a◗ + gama2◖10◗◖a◗ * EM_t₍₀₎ ^ 2)), :(ZZ_t◖10◗◖a◗₍₀₎ - (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖10◗◖a◗ * Y_t◖10◗◖a◗₍₀₎), :(ZZ_t◖a◗₍₀₎ - (ZZ_t◖1◗◖a◗₍₀₎ + ZZ_t◖2◗◖a◗₍₀₎ + ZZ_t◖3◗◖a◗₍₀₎ + ZZ_t◖4◗◖a◗₍₀₎ + ZZ_t◖5◗◖a◗₍₀₎ + ZZ_t◖6◗◖a◗₍₀₎ + ZZ_t◖7◗◖a◗₍₀₎ + ZZ_t◖8◗◖a◗₍₀₎ + ZZ_t◖9◗◖a◗₍₀₎ + ZZ_t◖10◗◖a◗₍₀₎)), :(log(R_t◖a◗₍₀₎ / R_ts◖a◗) - (0.8 * log(R_t◖a◗₍₋₁₎ / R_ts◖a◗) + 0.3 * log(pi_cpi_t◖a◗₍₋₁₎))), :(K_t◖a◗₍₀₎ - ((1 - delta) * K_t◖a◗₍₋₁₎ + I_t◖a◗₍₀₎)), :(lambda_t◖a◗₍₀₎ - C_t◖a◗₍₀₎ ^ -sig), :(1 - ((R_t◖a◗₍₀₎ * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) / pi_cpi_t◖a◗₍₁₎), :(1 - (((betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * (rk_t◖a◗₍₁₎ + (1 - delta) * PI_t◖a◗₍₁₎)) / PI_t◖a◗₍₀₎), :(lambda_t◖a◗₍₀₎ * w_t◖a◗₍₀₎ - kappaN◖a◗ * N_t◖a◗₍₀₎ ^ lab◖a◗), :(1 - (Psi_con◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigc◖a◗ / (1 - sigc◖a◗))) ^ (-((1 - sigc◖a◗)) / sigc◖a◗)), :(pi_cpi_t◖a◗₍₀₎ - (Psi_con◖1◗◖a◗ * (pi_ppi_t◖1◗◖a◗₍₀₎ * P_t◖1◗◖a◗₍₋₁₎) ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖2◗◖a◗ * (pi_ppi_t◖2◗◖a◗₍₀₎ * P_t◖2◗◖a◗₍₋₁₎) ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖3◗◖a◗ * (pi_ppi_t◖3◗◖a◗₍₀₎ * P_t◖3◗◖a◗₍₋₁₎) ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖4◗◖a◗ * (pi_ppi_t◖4◗◖a◗₍₀₎ * P_t◖4◗◖a◗₍₋₁₎) ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖5◗◖a◗ * (pi_ppi_t◖5◗◖a◗₍₀₎ * P_t◖5◗◖a◗₍₋₁₎) ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖6◗◖a◗ * (pi_ppi_t◖6◗◖a◗₍₀₎ * P_t◖6◗◖a◗₍₋₁₎) ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖7◗◖a◗ * (pi_ppi_t◖7◗◖a◗₍₀₎ * P_t◖7◗◖a◗₍₋₁₎) ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖8◗◖a◗ * (pi_ppi_t◖8◗◖a◗₍₀₎ * P_t◖8◗◖a◗₍₋₁₎) ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖9◗◖a◗ * (pi_ppi_t◖9◗◖a◗₍₀₎ * P_t◖9◗◖a◗₍₋₁₎) ^ (-sigc◖a◗ / (1 - sigc◖a◗)) + Psi_con◖10◗◖a◗ * (pi_ppi_t◖10◗◖a◗₍₀₎ * P_t◖10◗◖a◗₍₋₁₎) ^ (-sigc◖a◗ / (1 - sigc◖a◗))) ^ (-((1 - sigc◖a◗)) / sigc◖a◗)), :(PI_t◖a◗₍₀₎ - (Psi_inv◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigi◖a◗ / (1 - sigi◖a◗)) + Psi_inv◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigi◖a◗ / (1 - sigi◖a◗)) + Psi_inv◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigi◖a◗ / (1 - sigi◖a◗)) + Psi_inv◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigi◖a◗ / (1 - sigi◖a◗)) + Psi_inv◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigi◖a◗ / (1 - sigi◖a◗)) + Psi_inv◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigi◖a◗ / (1 - sigi◖a◗)) + Psi_inv◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigi◖a◗ / (1 - sigi◖a◗)) + Psi_inv◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigi◖a◗ / (1 - sigi◖a◗)) + Psi_inv◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigi◖a◗ / (1 - sigi◖a◗)) + Psi_inv◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigi◖a◗ / (1 - sigi◖a◗))) ^ (-((1 - sigi◖a◗)) / sigi◖a◗)), :(w_t◖a◗₍₀₎ - (omega_N◖1◗◖a◗ * w_t◖1◗◖a◗₍₀₎ ^ (-upsi_N◖a◗ / (1 - upsi_N◖a◗)) + omega_N◖2◗◖a◗ * w_t◖2◗◖a◗₍₀₎ ^ (-upsi_N◖a◗ / (1 - upsi_N◖a◗)) + omega_N◖3◗◖a◗ * w_t◖3◗◖a◗₍₀₎ ^ (-upsi_N◖a◗ / (1 - upsi_N◖a◗)) + omega_N◖4◗◖a◗ * w_t◖4◗◖a◗₍₀₎ ^ (-upsi_N◖a◗ / (1 - upsi_N◖a◗)) + omega_N◖5◗◖a◗ * w_t◖5◗◖a◗₍₀₎ ^ (-upsi_N◖a◗ / (1 - upsi_N◖a◗)) + omega_N◖6◗◖a◗ * w_t◖6◗◖a◗₍₀₎ ^ (-upsi_N◖a◗ / (1 - upsi_N◖a◗)) + omega_N◖7◗◖a◗ * w_t◖7◗◖a◗₍₀₎ ^ (-upsi_N◖a◗ / (1 - upsi_N◖a◗)) + omega_N◖8◗◖a◗ * w_t◖8◗◖a◗₍₀₎ ^ (-upsi_N◖a◗ / (1 - upsi_N◖a◗)) + omega_N◖9◗◖a◗ * w_t◖9◗◖a◗₍₀₎ ^ (-upsi_N◖a◗ / (1 - upsi_N◖a◗)) + omega_N◖10◗◖a◗ * w_t◖10◗◖a◗₍₀₎ ^ (-upsi_N◖a◗ / (1 - upsi_N◖a◗))) ^ (-((1 - upsi_N◖a◗)) / upsi_N◖a◗)), :(rk_t◖a◗₍₀₎ - (omega_K◖1◗◖a◗ * rk_t◖1◗◖a◗₍₀₎ ^ (-upsi_K◖a◗ / (1 - upsi_K◖a◗)) + omega_K◖2◗◖a◗ * rk_t◖2◗◖a◗₍₀₎ ^ (-upsi_K◖a◗ / (1 - upsi_K◖a◗)) + omega_K◖3◗◖a◗ * rk_t◖3◗◖a◗₍₀₎ ^ (-upsi_K◖a◗ / (1 - upsi_K◖a◗)) + omega_K◖4◗◖a◗ * rk_t◖4◗◖a◗₍₀₎ ^ (-upsi_K◖a◗ / (1 - upsi_K◖a◗)) + omega_K◖5◗◖a◗ * rk_t◖5◗◖a◗₍₀₎ ^ (-upsi_K◖a◗ / (1 - upsi_K◖a◗)) + omega_K◖6◗◖a◗ * rk_t◖6◗◖a◗₍₀₎ ^ (-upsi_K◖a◗ / (1 - upsi_K◖a◗)) + omega_K◖7◗◖a◗ * rk_t◖7◗◖a◗₍₀₎ ^ (-upsi_K◖a◗ / (1 - upsi_K◖a◗)) + omega_K◖8◗◖a◗ * rk_t◖8◗◖a◗₍₀₎ ^ (-upsi_K◖a◗ / (1 - upsi_K◖a◗)) + omega_K◖9◗◖a◗ * rk_t◖9◗◖a◗₍₀₎ ^ (-upsi_K◖a◗ / (1 - upsi_K◖a◗)) + omega_K◖10◗◖a◗ * rk_t◖10◗◖a◗₍₀₎ ^ (-upsi_K◖a◗ / (1 - upsi_K◖a◗))) ^ (-((1 - upsi_K◖a◗)) / upsi_K◖a◗)), :(Y_VA_t◖a◗₍₀₎ - (C_t◖a◗₍₀₎ + I_t◖a◗₍₀₎ * PI_t◖a◗₍₀₎)), :(Y_t◖a◗₍₀₎ - (Y_t◖1◗◖a◗₍₀₎ + Y_t◖2◗◖a◗₍₀₎ + Y_t◖3◗◖a◗₍₀₎ + Y_t◖4◗◖a◗₍₀₎ + Y_t◖5◗◖a◗₍₀₎ + Y_t◖6◗◖a◗₍₀₎ + Y_t◖7◗◖a◗₍₀₎ + Y_t◖8◗◖a◗₍₀₎ + Y_t◖9◗◖a◗₍₀₎ + Y_t◖10◗◖a◗₍₀₎)), :(C_t◖1◗◖a◗₍₀₎ - C_t◖a◗₍₀₎ * Psi_con◖1◗◖a◗ * (1 / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigc◖a◗))), :(I_t◖1◗◖a◗₍₀₎ - I_t◖a◗₍₀₎ * Psi_inv◖1◗◖a◗ * (PI_t◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigi◖a◗))), :(N_t◖1◗◖a◗₍₀₎ - N_t◖a◗₍₀₎ * omega_N◖1◗◖a◗ * (w_t◖a◗₍₀₎ / w_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - upsi_N◖a◗))), :(K_t◖1◗◖a◗₍₀₎ - K_t◖a◗₍₀₎ * omega_K◖1◗◖a◗ * (rk_t◖a◗₍₁₎ / rk_t◖1◗◖a◗₍₁₎) ^ (1 / (1 - upsi_K◖a◗))), :(Y_t◖1◗◖a◗₍₀₎ - (C_t◖1◗◖a◗₍₀₎ + I_t◖1◗◖a◗₍₀₎ + ((Y_t◖1◗◖a◗₍₀₎ * kappap◖1◗◖a◗) / 2) * (pi_ppi_t◖1◗◖a◗₍₁₎ - 1) ^ 2 + (H_t◖1◗◖1◗◖a◗₍₀₎ + H_t◖2◗◖1◗◖a◗₍₀₎ + H_t◖3◗◖1◗◖a◗₍₀₎ + H_t◖4◗◖1◗◖a◗₍₀₎ + H_t◖5◗◖1◗◖a◗₍₀₎ + H_t◖6◗◖1◗◖a◗₍₀₎ + H_t◖7◗◖1◗◖a◗₍₀₎ + H_t◖8◗◖1◗◖a◗₍₀₎ + H_t◖9◗◖1◗◖a◗₍₀₎ + H_t◖10◗◖1◗◖a◗₍₀₎))), :(Y_t◖1◗◖a◗₍₀₎ - epsi_t◖a◗₍₀₎ * epsi_t◖1◗◖a◗₍₀₎ * (1 - Pen_t◖1◗◖a◗₍₀₎) * (N_t◖1◗◖a◗₍₀₎ ^ alphaN◖1◗◖a◗ * K_t◖1◗◖a◗₍₋₁₎ ^ (1 - alphaN◖1◗◖a◗)) ^ alphaH◖1◗◖a◗ * H_t◖1◗◖a◗₍₀₎ ^ (1 - alphaH◖1◗◖a◗)), :(EM_cost_t◖1◗◖a◗₍₀₎ - P_EM_t◖a◗₍₀₎ * (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖1◗◖a◗), :(mc_tild_t◖1◗◖a◗₍₀₎ - (EM_cost_t◖1◗◖a◗₍₀₎ + mc_t◖1◗◖a◗₍₀₎)), :(((1 - thetap◖1◗◖a◗) + (mc_tild_t◖1◗◖a◗₍₀₎ * thetap◖1◗◖a◗) / P_t◖1◗◖a◗₍₀₎ + ((((((pi_ppi_t◖1◗◖a◗₍₁₎ - 1) * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * kappap◖1◗◖a◗ * pi_ppi_t◖1◗◖a◗₍₁₎ ^ 2) / pi_cpi_t◖a◗₍₁₎) * Y_t◖1◗◖a◗₍₁₎) / Y_t◖1◗◖a◗₍₀₎) - (pi_ppi_t◖1◗◖a◗₍₀₎ * kappap◖1◗◖a◗ * (pi_ppi_t◖1◗◖a◗₍₀₎ - 1) + (((1 - thetap◖1◗◖a◗) * kappap◖1◗◖a◗) / 2) * (pi_ppi_t◖1◗◖a◗₍₀₎ - 1) ^ 2)), :(w_t◖1◗◖a◗₍₀₎ - (Y_t◖1◗◖a◗₍₀₎ * mc_t◖1◗◖a◗₍₀₎ * alphaN◖1◗◖a◗ * alphaH◖1◗◖a◗) / N_t◖1◗◖a◗₍₀₎), :(rk_t◖1◗◖a◗₍₀₎ - (Y_t◖1◗◖a◗₍₀₎ * mc_t◖1◗◖a◗₍₀₎ * (1 - alphaN◖1◗◖a◗) * alphaH◖1◗◖a◗) / K_t◖1◗◖a◗₍₋₁₎), :(PH_t◖1◗◖a◗₍₀₎ - (Y_t◖1◗◖a◗₍₀₎ * (1 - alphaH◖1◗◖a◗) * mc_t◖1◗◖a◗₍₀₎) / H_t◖1◗◖a◗₍₀₎), :(PH_t◖1◗◖a◗₍₀₎ - (Psi◖1◗◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigh◖1◗◖a◗ / (1 - sigh◖1◗◖a◗)) + Psi◖1◗◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigh◖1◗◖a◗ / (1 - sigh◖1◗◖a◗)) + Psi◖1◗◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigh◖1◗◖a◗ / (1 - sigh◖1◗◖a◗)) + Psi◖1◗◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigh◖1◗◖a◗ / (1 - sigh◖1◗◖a◗)) + Psi◖1◗◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigh◖1◗◖a◗ / (1 - sigh◖1◗◖a◗)) + Psi◖1◗◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigh◖1◗◖a◗ / (1 - sigh◖1◗◖a◗)) + Psi◖1◗◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigh◖1◗◖a◗ / (1 - sigh◖1◗◖a◗)) + Psi◖1◗◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigh◖1◗◖a◗ / (1 - sigh◖1◗◖a◗)) + Psi◖1◗◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigh◖1◗◖a◗ / (1 - sigh◖1◗◖a◗)) + Psi◖1◗◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigh◖1◗◖a◗ / (1 - sigh◖1◗◖a◗))) ^ (-((1 - sigh◖1◗◖a◗)) / sigh◖1◗◖a◗)), :(H_t◖1◗◖1◗◖a◗₍₀₎ - H_t◖1◗◖a◗₍₀₎ * Psi◖1◗◖1◗◖a◗ * (PH_t◖1◗◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖1◗◖a◗))), :(H_t◖1◗◖2◗◖a◗₍₀₎ - H_t◖1◗◖a◗₍₀₎ * Psi◖1◗◖2◗◖a◗ * (PH_t◖1◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖1◗◖a◗))), :(H_t◖1◗◖3◗◖a◗₍₀₎ - H_t◖1◗◖a◗₍₀₎ * Psi◖1◗◖3◗◖a◗ * (PH_t◖1◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖1◗◖a◗))), :(H_t◖1◗◖4◗◖a◗₍₀₎ - H_t◖1◗◖a◗₍₀₎ * Psi◖1◗◖4◗◖a◗ * (PH_t◖1◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖1◗◖a◗))), :(H_t◖1◗◖5◗◖a◗₍₀₎ - H_t◖1◗◖a◗₍₀₎ * Psi◖1◗◖5◗◖a◗ * (PH_t◖1◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖1◗◖a◗))), :(H_t◖1◗◖6◗◖a◗₍₀₎ - H_t◖1◗◖a◗₍₀₎ * Psi◖1◗◖6◗◖a◗ * (PH_t◖1◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖1◗◖a◗))), :(H_t◖1◗◖7◗◖a◗₍₀₎ - H_t◖1◗◖a◗₍₀₎ * Psi◖1◗◖7◗◖a◗ * (PH_t◖1◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖1◗◖a◗))), :(H_t◖1◗◖8◗◖a◗₍₀₎ - H_t◖1◗◖a◗₍₀₎ * Psi◖1◗◖8◗◖a◗ * (PH_t◖1◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖1◗◖a◗))), :(H_t◖1◗◖9◗◖a◗₍₀₎ - H_t◖1◗◖a◗₍₀₎ * Psi◖1◗◖9◗◖a◗ * (PH_t◖1◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖1◗◖a◗))), :(H_t◖1◗◖10◗◖a◗₍₀₎ - H_t◖1◗◖a◗₍₀₎ * Psi◖1◗◖10◗◖a◗ * (PH_t◖1◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖1◗◖a◗))), :(log(epsi_t◖1◗◖a◗₍₀₎ / epsi_ts◖1◗◖a◗) - (rho_eps◖a◗ * log(epsi_t◖1◗◖a◗₍₋₁₎ / epsi_ts◖1◗◖a◗) - shock_epsi_t◖1◗◖a◗₍ₓ₎)), :(C_t◖2◗◖a◗₍₀₎ - C_t◖a◗₍₀₎ * Psi_con◖2◗◖a◗ * (1 / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigc◖a◗))), :(I_t◖2◗◖a◗₍₀₎ - I_t◖a◗₍₀₎ * Psi_inv◖2◗◖a◗ * (PI_t◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigi◖a◗))), :(N_t◖2◗◖a◗₍₀₎ - N_t◖a◗₍₀₎ * omega_N◖2◗◖a◗ * (w_t◖a◗₍₀₎ / w_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - upsi_N◖a◗))), :(K_t◖2◗◖a◗₍₀₎ - K_t◖a◗₍₀₎ * omega_K◖2◗◖a◗ * (rk_t◖a◗₍₁₎ / rk_t◖2◗◖a◗₍₁₎) ^ (1 / (1 - upsi_K◖a◗))), :(Y_t◖2◗◖a◗₍₀₎ - (C_t◖2◗◖a◗₍₀₎ + I_t◖2◗◖a◗₍₀₎ + ((Y_t◖2◗◖a◗₍₀₎ * kappap◖2◗◖a◗) / 2) * (pi_ppi_t◖2◗◖a◗₍₁₎ - 1) ^ 2 + (H_t◖1◗◖2◗◖a◗₍₀₎ + H_t◖2◗◖2◗◖a◗₍₀₎ + H_t◖3◗◖2◗◖a◗₍₀₎ + H_t◖4◗◖2◗◖a◗₍₀₎ + H_t◖5◗◖2◗◖a◗₍₀₎ + H_t◖6◗◖2◗◖a◗₍₀₎ + H_t◖7◗◖2◗◖a◗₍₀₎ + H_t◖8◗◖2◗◖a◗₍₀₎ + H_t◖9◗◖2◗◖a◗₍₀₎ + H_t◖10◗◖2◗◖a◗₍₀₎))), :(Y_t◖2◗◖a◗₍₀₎ - epsi_t◖a◗₍₀₎ * epsi_t◖2◗◖a◗₍₀₎ * (1 - Pen_t◖2◗◖a◗₍₀₎) * (N_t◖2◗◖a◗₍₀₎ ^ alphaN◖2◗◖a◗ * K_t◖2◗◖a◗₍₋₁₎ ^ (1 - alphaN◖2◗◖a◗)) ^ alphaH◖2◗◖a◗ * H_t◖2◗◖a◗₍₀₎ ^ (1 - alphaH◖2◗◖a◗)), :(EM_cost_t◖2◗◖a◗₍₀₎ - P_EM_t◖a◗₍₀₎ * (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖2◗◖a◗), :(mc_tild_t◖2◗◖a◗₍₀₎ - (EM_cost_t◖2◗◖a◗₍₀₎ + mc_t◖2◗◖a◗₍₀₎)), :(((1 - thetap◖2◗◖a◗) + (mc_tild_t◖2◗◖a◗₍₀₎ * thetap◖2◗◖a◗) / P_t◖2◗◖a◗₍₀₎ + ((((((pi_ppi_t◖2◗◖a◗₍₁₎ - 1) * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * kappap◖2◗◖a◗ * pi_ppi_t◖2◗◖a◗₍₁₎ ^ 2) / pi_cpi_t◖a◗₍₁₎) * Y_t◖2◗◖a◗₍₁₎) / Y_t◖2◗◖a◗₍₀₎) - (pi_ppi_t◖2◗◖a◗₍₀₎ * kappap◖2◗◖a◗ * (pi_ppi_t◖2◗◖a◗₍₀₎ - 1) + (((1 - thetap◖2◗◖a◗) * kappap◖2◗◖a◗) / 2) * (pi_ppi_t◖2◗◖a◗₍₀₎ - 1) ^ 2)), :(w_t◖2◗◖a◗₍₀₎ - (Y_t◖2◗◖a◗₍₀₎ * mc_t◖2◗◖a◗₍₀₎ * alphaN◖2◗◖a◗ * alphaH◖2◗◖a◗) / N_t◖2◗◖a◗₍₀₎), :(rk_t◖2◗◖a◗₍₀₎ - (Y_t◖2◗◖a◗₍₀₎ * mc_t◖2◗◖a◗₍₀₎ * (1 - alphaN◖2◗◖a◗) * alphaH◖2◗◖a◗) / K_t◖2◗◖a◗₍₋₁₎), :(PH_t◖2◗◖a◗₍₀₎ - (Y_t◖2◗◖a◗₍₀₎ * (1 - alphaH◖2◗◖a◗) * mc_t◖2◗◖a◗₍₀₎) / H_t◖2◗◖a◗₍₀₎), :(PH_t◖2◗◖a◗₍₀₎ - (Psi◖2◗◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigh◖2◗◖a◗ / (1 - sigh◖2◗◖a◗)) + Psi◖2◗◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigh◖2◗◖a◗ / (1 - sigh◖2◗◖a◗)) + Psi◖2◗◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigh◖2◗◖a◗ / (1 - sigh◖2◗◖a◗)) + Psi◖2◗◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigh◖2◗◖a◗ / (1 - sigh◖2◗◖a◗)) + Psi◖2◗◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigh◖2◗◖a◗ / (1 - sigh◖2◗◖a◗)) + Psi◖2◗◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigh◖2◗◖a◗ / (1 - sigh◖2◗◖a◗)) + Psi◖2◗◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigh◖2◗◖a◗ / (1 - sigh◖2◗◖a◗)) + Psi◖2◗◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigh◖2◗◖a◗ / (1 - sigh◖2◗◖a◗)) + Psi◖2◗◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigh◖2◗◖a◗ / (1 - sigh◖2◗◖a◗)) + Psi◖2◗◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigh◖2◗◖a◗ / (1 - sigh◖2◗◖a◗))) ^ (-((1 - sigh◖2◗◖a◗)) / sigh◖2◗◖a◗)), :(H_t◖2◗◖1◗◖a◗₍₀₎ - H_t◖2◗◖a◗₍₀₎ * Psi◖2◗◖1◗◖a◗ * (PH_t◖2◗◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖2◗◖a◗))), :(H_t◖2◗◖2◗◖a◗₍₀₎ - H_t◖2◗◖a◗₍₀₎ * Psi◖2◗◖2◗◖a◗ * (PH_t◖2◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖2◗◖a◗))), :(H_t◖2◗◖3◗◖a◗₍₀₎ - H_t◖2◗◖a◗₍₀₎ * Psi◖2◗◖3◗◖a◗ * (PH_t◖2◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖2◗◖a◗))), :(H_t◖2◗◖4◗◖a◗₍₀₎ - H_t◖2◗◖a◗₍₀₎ * Psi◖2◗◖4◗◖a◗ * (PH_t◖2◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖2◗◖a◗))), :(H_t◖2◗◖5◗◖a◗₍₀₎ - H_t◖2◗◖a◗₍₀₎ * Psi◖2◗◖5◗◖a◗ * (PH_t◖2◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖2◗◖a◗))), :(H_t◖2◗◖6◗◖a◗₍₀₎ - H_t◖2◗◖a◗₍₀₎ * Psi◖2◗◖6◗◖a◗ * (PH_t◖2◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖2◗◖a◗))), :(H_t◖2◗◖7◗◖a◗₍₀₎ - H_t◖2◗◖a◗₍₀₎ * Psi◖2◗◖7◗◖a◗ * (PH_t◖2◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖2◗◖a◗))), :(H_t◖2◗◖8◗◖a◗₍₀₎ - H_t◖2◗◖a◗₍₀₎ * Psi◖2◗◖8◗◖a◗ * (PH_t◖2◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖2◗◖a◗))), :(H_t◖2◗◖9◗◖a◗₍₀₎ - H_t◖2◗◖a◗₍₀₎ * Psi◖2◗◖9◗◖a◗ * (PH_t◖2◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖2◗◖a◗))), :(H_t◖2◗◖10◗◖a◗₍₀₎ - H_t◖2◗◖a◗₍₀₎ * Psi◖2◗◖10◗◖a◗ * (PH_t◖2◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖2◗◖a◗))), :(log(epsi_t◖2◗◖a◗₍₀₎ / epsi_ts◖2◗◖a◗) - (rho_eps◖a◗ * log(epsi_t◖2◗◖a◗₍₋₁₎ / epsi_ts◖2◗◖a◗) - shock_epsi_t◖2◗◖a◗₍ₓ₎)), :(C_t◖3◗◖a◗₍₀₎ - C_t◖a◗₍₀₎ * Psi_con◖3◗◖a◗ * (1 / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigc◖a◗))), :(I_t◖3◗◖a◗₍₀₎ - I_t◖a◗₍₀₎ * Psi_inv◖3◗◖a◗ * (PI_t◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigi◖a◗))), :(N_t◖3◗◖a◗₍₀₎ - N_t◖a◗₍₀₎ * omega_N◖3◗◖a◗ * (w_t◖a◗₍₀₎ / w_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - upsi_N◖a◗))), :(K_t◖3◗◖a◗₍₀₎ - K_t◖a◗₍₀₎ * omega_K◖3◗◖a◗ * (rk_t◖a◗₍₁₎ / rk_t◖3◗◖a◗₍₁₎) ^ (1 / (1 - upsi_K◖a◗))), :(Y_t◖3◗◖a◗₍₀₎ - (C_t◖3◗◖a◗₍₀₎ + I_t◖3◗◖a◗₍₀₎ + ((Y_t◖3◗◖a◗₍₀₎ * kappap◖3◗◖a◗) / 2) * (pi_ppi_t◖3◗◖a◗₍₁₎ - 1) ^ 2 + (H_t◖1◗◖3◗◖a◗₍₀₎ + H_t◖2◗◖3◗◖a◗₍₀₎ + H_t◖3◗◖3◗◖a◗₍₀₎ + H_t◖4◗◖3◗◖a◗₍₀₎ + H_t◖5◗◖3◗◖a◗₍₀₎ + H_t◖6◗◖3◗◖a◗₍₀₎ + H_t◖7◗◖3◗◖a◗₍₀₎ + H_t◖8◗◖3◗◖a◗₍₀₎ + H_t◖9◗◖3◗◖a◗₍₀₎ + H_t◖10◗◖3◗◖a◗₍₀₎))), :(Y_t◖3◗◖a◗₍₀₎ - epsi_t◖a◗₍₀₎ * epsi_t◖3◗◖a◗₍₀₎ * (1 - Pen_t◖3◗◖a◗₍₀₎) * (N_t◖3◗◖a◗₍₀₎ ^ alphaN◖3◗◖a◗ * K_t◖3◗◖a◗₍₋₁₎ ^ (1 - alphaN◖3◗◖a◗)) ^ alphaH◖3◗◖a◗ * H_t◖3◗◖a◗₍₀₎ ^ (1 - alphaH◖3◗◖a◗)), :(EM_cost_t◖3◗◖a◗₍₀₎ - P_EM_t◖a◗₍₀₎ * (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖3◗◖a◗), :(mc_tild_t◖3◗◖a◗₍₀₎ - (EM_cost_t◖3◗◖a◗₍₀₎ + mc_t◖3◗◖a◗₍₀₎)), :(((1 - thetap◖3◗◖a◗) + (mc_tild_t◖3◗◖a◗₍₀₎ * thetap◖3◗◖a◗) / P_t◖3◗◖a◗₍₀₎ + ((((((pi_ppi_t◖3◗◖a◗₍₁₎ - 1) * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * kappap◖3◗◖a◗ * pi_ppi_t◖3◗◖a◗₍₁₎ ^ 2) / pi_cpi_t◖a◗₍₁₎) * Y_t◖3◗◖a◗₍₁₎) / Y_t◖3◗◖a◗₍₀₎) - (pi_ppi_t◖3◗◖a◗₍₀₎ * kappap◖3◗◖a◗ * (pi_ppi_t◖3◗◖a◗₍₀₎ - 1) + (((1 - thetap◖3◗◖a◗) * kappap◖3◗◖a◗) / 2) * (pi_ppi_t◖3◗◖a◗₍₀₎ - 1) ^ 2)), :(w_t◖3◗◖a◗₍₀₎ - (Y_t◖3◗◖a◗₍₀₎ * mc_t◖3◗◖a◗₍₀₎ * alphaN◖3◗◖a◗ * alphaH◖3◗◖a◗) / N_t◖3◗◖a◗₍₀₎), :(rk_t◖3◗◖a◗₍₀₎ - (Y_t◖3◗◖a◗₍₀₎ * mc_t◖3◗◖a◗₍₀₎ * (1 - alphaN◖3◗◖a◗) * alphaH◖3◗◖a◗) / K_t◖3◗◖a◗₍₋₁₎), :(PH_t◖3◗◖a◗₍₀₎ - (Y_t◖3◗◖a◗₍₀₎ * (1 - alphaH◖3◗◖a◗) * mc_t◖3◗◖a◗₍₀₎) / H_t◖3◗◖a◗₍₀₎), :(PH_t◖3◗◖a◗₍₀₎ - (Psi◖3◗◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigh◖3◗◖a◗ / (1 - sigh◖3◗◖a◗)) + Psi◖3◗◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigh◖3◗◖a◗ / (1 - sigh◖3◗◖a◗)) + Psi◖3◗◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigh◖3◗◖a◗ / (1 - sigh◖3◗◖a◗)) + Psi◖3◗◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigh◖3◗◖a◗ / (1 - sigh◖3◗◖a◗)) + Psi◖3◗◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigh◖3◗◖a◗ / (1 - sigh◖3◗◖a◗)) + Psi◖3◗◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigh◖3◗◖a◗ / (1 - sigh◖3◗◖a◗)) + Psi◖3◗◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigh◖3◗◖a◗ / (1 - sigh◖3◗◖a◗)) + Psi◖3◗◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigh◖3◗◖a◗ / (1 - sigh◖3◗◖a◗)) + Psi◖3◗◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigh◖3◗◖a◗ / (1 - sigh◖3◗◖a◗)) + Psi◖3◗◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigh◖3◗◖a◗ / (1 - sigh◖3◗◖a◗))) ^ (-((1 - sigh◖3◗◖a◗)) / sigh◖3◗◖a◗)), :(H_t◖3◗◖1◗◖a◗₍₀₎ - H_t◖3◗◖a◗₍₀₎ * Psi◖3◗◖1◗◖a◗ * (PH_t◖3◗◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖3◗◖a◗))), :(H_t◖3◗◖2◗◖a◗₍₀₎ - H_t◖3◗◖a◗₍₀₎ * Psi◖3◗◖2◗◖a◗ * (PH_t◖3◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖3◗◖a◗))), :(H_t◖3◗◖3◗◖a◗₍₀₎ - H_t◖3◗◖a◗₍₀₎ * Psi◖3◗◖3◗◖a◗ * (PH_t◖3◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖3◗◖a◗))), :(H_t◖3◗◖4◗◖a◗₍₀₎ - H_t◖3◗◖a◗₍₀₎ * Psi◖3◗◖4◗◖a◗ * (PH_t◖3◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖3◗◖a◗))), :(H_t◖3◗◖5◗◖a◗₍₀₎ - H_t◖3◗◖a◗₍₀₎ * Psi◖3◗◖5◗◖a◗ * (PH_t◖3◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖3◗◖a◗))), :(H_t◖3◗◖6◗◖a◗₍₀₎ - H_t◖3◗◖a◗₍₀₎ * Psi◖3◗◖6◗◖a◗ * (PH_t◖3◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖3◗◖a◗))), :(H_t◖3◗◖7◗◖a◗₍₀₎ - H_t◖3◗◖a◗₍₀₎ * Psi◖3◗◖7◗◖a◗ * (PH_t◖3◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖3◗◖a◗))), :(H_t◖3◗◖8◗◖a◗₍₀₎ - H_t◖3◗◖a◗₍₀₎ * Psi◖3◗◖8◗◖a◗ * (PH_t◖3◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖3◗◖a◗))), :(H_t◖3◗◖9◗◖a◗₍₀₎ - H_t◖3◗◖a◗₍₀₎ * Psi◖3◗◖9◗◖a◗ * (PH_t◖3◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖3◗◖a◗))), :(H_t◖3◗◖10◗◖a◗₍₀₎ - H_t◖3◗◖a◗₍₀₎ * Psi◖3◗◖10◗◖a◗ * (PH_t◖3◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖3◗◖a◗))), :(log(epsi_t◖3◗◖a◗₍₀₎ / epsi_ts◖3◗◖a◗) - (rho_eps◖a◗ * log(epsi_t◖3◗◖a◗₍₋₁₎ / epsi_ts◖3◗◖a◗) - shock_epsi_t◖3◗◖a◗₍ₓ₎)), :(C_t◖4◗◖a◗₍₀₎ - C_t◖a◗₍₀₎ * Psi_con◖4◗◖a◗ * (1 / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigc◖a◗))), :(I_t◖4◗◖a◗₍₀₎ - I_t◖a◗₍₀₎ * Psi_inv◖4◗◖a◗ * (PI_t◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigi◖a◗))), :(N_t◖4◗◖a◗₍₀₎ - N_t◖a◗₍₀₎ * omega_N◖4◗◖a◗ * (w_t◖a◗₍₀₎ / w_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - upsi_N◖a◗))), :(K_t◖4◗◖a◗₍₀₎ - K_t◖a◗₍₀₎ * omega_K◖4◗◖a◗ * (rk_t◖a◗₍₁₎ / rk_t◖4◗◖a◗₍₁₎) ^ (1 / (1 - upsi_K◖a◗))), :(Y_t◖4◗◖a◗₍₀₎ - (C_t◖4◗◖a◗₍₀₎ + I_t◖4◗◖a◗₍₀₎ + ((Y_t◖4◗◖a◗₍₀₎ * kappap◖4◗◖a◗) / 2) * (pi_ppi_t◖4◗◖a◗₍₁₎ - 1) ^ 2 + (H_t◖1◗◖4◗◖a◗₍₀₎ + H_t◖2◗◖4◗◖a◗₍₀₎ + H_t◖3◗◖4◗◖a◗₍₀₎ + H_t◖4◗◖4◗◖a◗₍₀₎ + H_t◖5◗◖4◗◖a◗₍₀₎ + H_t◖6◗◖4◗◖a◗₍₀₎ + H_t◖7◗◖4◗◖a◗₍₀₎ + H_t◖8◗◖4◗◖a◗₍₀₎ + H_t◖9◗◖4◗◖a◗₍₀₎ + H_t◖10◗◖4◗◖a◗₍₀₎))), :(Y_t◖4◗◖a◗₍₀₎ - epsi_t◖a◗₍₀₎ * epsi_t◖4◗◖a◗₍₀₎ * (1 - Pen_t◖4◗◖a◗₍₀₎) * (N_t◖4◗◖a◗₍₀₎ ^ alphaN◖4◗◖a◗ * K_t◖4◗◖a◗₍₋₁₎ ^ (1 - alphaN◖4◗◖a◗)) ^ alphaH◖4◗◖a◗ * H_t◖4◗◖a◗₍₀₎ ^ (1 - alphaH◖4◗◖a◗)), :(EM_cost_t◖4◗◖a◗₍₀₎ - P_EM_t◖a◗₍₀₎ * (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖4◗◖a◗), :(mc_tild_t◖4◗◖a◗₍₀₎ - (EM_cost_t◖4◗◖a◗₍₀₎ + mc_t◖4◗◖a◗₍₀₎)), :(((1 - thetap◖4◗◖a◗) + (mc_tild_t◖4◗◖a◗₍₀₎ * thetap◖4◗◖a◗) / P_t◖4◗◖a◗₍₀₎ + ((((((pi_ppi_t◖4◗◖a◗₍₁₎ - 1) * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * kappap◖4◗◖a◗ * pi_ppi_t◖4◗◖a◗₍₁₎ ^ 2) / pi_cpi_t◖a◗₍₁₎) * Y_t◖4◗◖a◗₍₁₎) / Y_t◖4◗◖a◗₍₀₎) - (pi_ppi_t◖4◗◖a◗₍₀₎ * kappap◖4◗◖a◗ * (pi_ppi_t◖4◗◖a◗₍₀₎ - 1) + (((1 - thetap◖4◗◖a◗) * kappap◖4◗◖a◗) / 2) * (pi_ppi_t◖4◗◖a◗₍₀₎ - 1) ^ 2)), :(w_t◖4◗◖a◗₍₀₎ - (Y_t◖4◗◖a◗₍₀₎ * mc_t◖4◗◖a◗₍₀₎ * alphaN◖4◗◖a◗ * alphaH◖4◗◖a◗) / N_t◖4◗◖a◗₍₀₎), :(rk_t◖4◗◖a◗₍₀₎ - (Y_t◖4◗◖a◗₍₀₎ * mc_t◖4◗◖a◗₍₀₎ * (1 - alphaN◖4◗◖a◗) * alphaH◖4◗◖a◗) / K_t◖4◗◖a◗₍₋₁₎), :(PH_t◖4◗◖a◗₍₀₎ - (Y_t◖4◗◖a◗₍₀₎ * (1 - alphaH◖4◗◖a◗) * mc_t◖4◗◖a◗₍₀₎) / H_t◖4◗◖a◗₍₀₎), :(PH_t◖4◗◖a◗₍₀₎ - (Psi◖4◗◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigh◖4◗◖a◗ / (1 - sigh◖4◗◖a◗)) + Psi◖4◗◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigh◖4◗◖a◗ / (1 - sigh◖4◗◖a◗)) + Psi◖4◗◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigh◖4◗◖a◗ / (1 - sigh◖4◗◖a◗)) + Psi◖4◗◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigh◖4◗◖a◗ / (1 - sigh◖4◗◖a◗)) + Psi◖4◗◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigh◖4◗◖a◗ / (1 - sigh◖4◗◖a◗)) + Psi◖4◗◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigh◖4◗◖a◗ / (1 - sigh◖4◗◖a◗)) + Psi◖4◗◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigh◖4◗◖a◗ / (1 - sigh◖4◗◖a◗)) + Psi◖4◗◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigh◖4◗◖a◗ / (1 - sigh◖4◗◖a◗)) + Psi◖4◗◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigh◖4◗◖a◗ / (1 - sigh◖4◗◖a◗)) + Psi◖4◗◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigh◖4◗◖a◗ / (1 - sigh◖4◗◖a◗))) ^ (-((1 - sigh◖4◗◖a◗)) / sigh◖4◗◖a◗)), :(H_t◖4◗◖1◗◖a◗₍₀₎ - H_t◖4◗◖a◗₍₀₎ * Psi◖4◗◖1◗◖a◗ * (PH_t◖4◗◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖4◗◖a◗))), :(H_t◖4◗◖2◗◖a◗₍₀₎ - H_t◖4◗◖a◗₍₀₎ * Psi◖4◗◖2◗◖a◗ * (PH_t◖4◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖4◗◖a◗))), :(H_t◖4◗◖3◗◖a◗₍₀₎ - H_t◖4◗◖a◗₍₀₎ * Psi◖4◗◖3◗◖a◗ * (PH_t◖4◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖4◗◖a◗))), :(H_t◖4◗◖4◗◖a◗₍₀₎ - H_t◖4◗◖a◗₍₀₎ * Psi◖4◗◖4◗◖a◗ * (PH_t◖4◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖4◗◖a◗))), :(H_t◖4◗◖5◗◖a◗₍₀₎ - H_t◖4◗◖a◗₍₀₎ * Psi◖4◗◖5◗◖a◗ * (PH_t◖4◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖4◗◖a◗))), :(H_t◖4◗◖6◗◖a◗₍₀₎ - H_t◖4◗◖a◗₍₀₎ * Psi◖4◗◖6◗◖a◗ * (PH_t◖4◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖4◗◖a◗))), :(H_t◖4◗◖7◗◖a◗₍₀₎ - H_t◖4◗◖a◗₍₀₎ * Psi◖4◗◖7◗◖a◗ * (PH_t◖4◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖4◗◖a◗))), :(H_t◖4◗◖8◗◖a◗₍₀₎ - H_t◖4◗◖a◗₍₀₎ * Psi◖4◗◖8◗◖a◗ * (PH_t◖4◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖4◗◖a◗))), :(H_t◖4◗◖9◗◖a◗₍₀₎ - H_t◖4◗◖a◗₍₀₎ * Psi◖4◗◖9◗◖a◗ * (PH_t◖4◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖4◗◖a◗))), :(H_t◖4◗◖10◗◖a◗₍₀₎ - H_t◖4◗◖a◗₍₀₎ * Psi◖4◗◖10◗◖a◗ * (PH_t◖4◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖4◗◖a◗))), :(log(epsi_t◖4◗◖a◗₍₀₎ / epsi_ts◖4◗◖a◗) - (rho_eps◖a◗ * log(epsi_t◖4◗◖a◗₍₋₁₎ / epsi_ts◖4◗◖a◗) - shock_epsi_t◖4◗◖a◗₍ₓ₎)), :(C_t◖5◗◖a◗₍₀₎ - C_t◖a◗₍₀₎ * Psi_con◖5◗◖a◗ * (1 / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigc◖a◗))), :(I_t◖5◗◖a◗₍₀₎ - I_t◖a◗₍₀₎ * Psi_inv◖5◗◖a◗ * (PI_t◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigi◖a◗))), :(N_t◖5◗◖a◗₍₀₎ - N_t◖a◗₍₀₎ * omega_N◖5◗◖a◗ * (w_t◖a◗₍₀₎ / w_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - upsi_N◖a◗))), :(K_t◖5◗◖a◗₍₀₎ - K_t◖a◗₍₀₎ * omega_K◖5◗◖a◗ * (rk_t◖a◗₍₁₎ / rk_t◖5◗◖a◗₍₁₎) ^ (1 / (1 - upsi_K◖a◗))), :(Y_t◖5◗◖a◗₍₀₎ - (C_t◖5◗◖a◗₍₀₎ + I_t◖5◗◖a◗₍₀₎ + ((Y_t◖5◗◖a◗₍₀₎ * kappap◖5◗◖a◗) / 2) * (pi_ppi_t◖5◗◖a◗₍₁₎ - 1) ^ 2 + (H_t◖1◗◖5◗◖a◗₍₀₎ + H_t◖2◗◖5◗◖a◗₍₀₎ + H_t◖3◗◖5◗◖a◗₍₀₎ + H_t◖4◗◖5◗◖a◗₍₀₎ + H_t◖5◗◖5◗◖a◗₍₀₎ + H_t◖6◗◖5◗◖a◗₍₀₎ + H_t◖7◗◖5◗◖a◗₍₀₎ + H_t◖8◗◖5◗◖a◗₍₀₎ + H_t◖9◗◖5◗◖a◗₍₀₎ + H_t◖10◗◖5◗◖a◗₍₀₎))), :(Y_t◖5◗◖a◗₍₀₎ - epsi_t◖a◗₍₀₎ * epsi_t◖5◗◖a◗₍₀₎ * (1 - Pen_t◖5◗◖a◗₍₀₎) * (N_t◖5◗◖a◗₍₀₎ ^ alphaN◖5◗◖a◗ * K_t◖5◗◖a◗₍₋₁₎ ^ (1 - alphaN◖5◗◖a◗)) ^ alphaH◖5◗◖a◗ * H_t◖5◗◖a◗₍₀₎ ^ (1 - alphaH◖5◗◖a◗)), :(EM_cost_t◖5◗◖a◗₍₀₎ - P_EM_t◖a◗₍₀₎ * (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖5◗◖a◗), :(mc_tild_t◖5◗◖a◗₍₀₎ - (EM_cost_t◖5◗◖a◗₍₀₎ + mc_t◖5◗◖a◗₍₀₎)), :(((1 - thetap◖5◗◖a◗) + (mc_tild_t◖5◗◖a◗₍₀₎ * thetap◖5◗◖a◗) / P_t◖5◗◖a◗₍₀₎ + ((((((pi_ppi_t◖5◗◖a◗₍₁₎ - 1) * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * kappap◖5◗◖a◗ * pi_ppi_t◖5◗◖a◗₍₁₎ ^ 2) / pi_cpi_t◖a◗₍₁₎) * Y_t◖5◗◖a◗₍₁₎) / Y_t◖5◗◖a◗₍₀₎) - (pi_ppi_t◖5◗◖a◗₍₀₎ * kappap◖5◗◖a◗ * (pi_ppi_t◖5◗◖a◗₍₀₎ - 1) + (((1 - thetap◖5◗◖a◗) * kappap◖5◗◖a◗) / 2) * (pi_ppi_t◖5◗◖a◗₍₀₎ - 1) ^ 2)), :(w_t◖5◗◖a◗₍₀₎ - (Y_t◖5◗◖a◗₍₀₎ * mc_t◖5◗◖a◗₍₀₎ * alphaN◖5◗◖a◗ * alphaH◖5◗◖a◗) / N_t◖5◗◖a◗₍₀₎), :(rk_t◖5◗◖a◗₍₀₎ - (Y_t◖5◗◖a◗₍₀₎ * mc_t◖5◗◖a◗₍₀₎ * (1 - alphaN◖5◗◖a◗) * alphaH◖5◗◖a◗) / K_t◖5◗◖a◗₍₋₁₎), :(PH_t◖5◗◖a◗₍₀₎ - (Y_t◖5◗◖a◗₍₀₎ * (1 - alphaH◖5◗◖a◗) * mc_t◖5◗◖a◗₍₀₎) / H_t◖5◗◖a◗₍₀₎), :(PH_t◖5◗◖a◗₍₀₎ - (Psi◖5◗◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigh◖5◗◖a◗ / (1 - sigh◖5◗◖a◗)) + Psi◖5◗◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigh◖5◗◖a◗ / (1 - sigh◖5◗◖a◗)) + Psi◖5◗◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigh◖5◗◖a◗ / (1 - sigh◖5◗◖a◗)) + Psi◖5◗◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigh◖5◗◖a◗ / (1 - sigh◖5◗◖a◗)) + Psi◖5◗◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigh◖5◗◖a◗ / (1 - sigh◖5◗◖a◗)) + Psi◖5◗◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigh◖5◗◖a◗ / (1 - sigh◖5◗◖a◗)) + Psi◖5◗◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigh◖5◗◖a◗ / (1 - sigh◖5◗◖a◗)) + Psi◖5◗◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigh◖5◗◖a◗ / (1 - sigh◖5◗◖a◗)) + Psi◖5◗◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigh◖5◗◖a◗ / (1 - sigh◖5◗◖a◗)) + Psi◖5◗◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigh◖5◗◖a◗ / (1 - sigh◖5◗◖a◗))) ^ (-((1 - sigh◖5◗◖a◗)) / sigh◖5◗◖a◗)), :(H_t◖5◗◖1◗◖a◗₍₀₎ - H_t◖5◗◖a◗₍₀₎ * Psi◖5◗◖1◗◖a◗ * (PH_t◖5◗◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖5◗◖a◗))), :(H_t◖5◗◖2◗◖a◗₍₀₎ - H_t◖5◗◖a◗₍₀₎ * Psi◖5◗◖2◗◖a◗ * (PH_t◖5◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖5◗◖a◗))), :(H_t◖5◗◖3◗◖a◗₍₀₎ - H_t◖5◗◖a◗₍₀₎ * Psi◖5◗◖3◗◖a◗ * (PH_t◖5◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖5◗◖a◗))), :(H_t◖5◗◖4◗◖a◗₍₀₎ - H_t◖5◗◖a◗₍₀₎ * Psi◖5◗◖4◗◖a◗ * (PH_t◖5◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖5◗◖a◗))), :(H_t◖5◗◖5◗◖a◗₍₀₎ - H_t◖5◗◖a◗₍₀₎ * Psi◖5◗◖5◗◖a◗ * (PH_t◖5◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖5◗◖a◗))), :(H_t◖5◗◖6◗◖a◗₍₀₎ - H_t◖5◗◖a◗₍₀₎ * Psi◖5◗◖6◗◖a◗ * (PH_t◖5◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖5◗◖a◗))), :(H_t◖5◗◖7◗◖a◗₍₀₎ - H_t◖5◗◖a◗₍₀₎ * Psi◖5◗◖7◗◖a◗ * (PH_t◖5◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖5◗◖a◗))), :(H_t◖5◗◖8◗◖a◗₍₀₎ - H_t◖5◗◖a◗₍₀₎ * Psi◖5◗◖8◗◖a◗ * (PH_t◖5◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖5◗◖a◗))), :(H_t◖5◗◖9◗◖a◗₍₀₎ - H_t◖5◗◖a◗₍₀₎ * Psi◖5◗◖9◗◖a◗ * (PH_t◖5◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖5◗◖a◗))), :(H_t◖5◗◖10◗◖a◗₍₀₎ - H_t◖5◗◖a◗₍₀₎ * Psi◖5◗◖10◗◖a◗ * (PH_t◖5◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖5◗◖a◗))), :(log(epsi_t◖5◗◖a◗₍₀₎ / epsi_ts◖5◗◖a◗) - (rho_eps◖a◗ * log(epsi_t◖5◗◖a◗₍₋₁₎ / epsi_ts◖5◗◖a◗) - shock_epsi_t◖5◗◖a◗₍ₓ₎)), :(C_t◖6◗◖a◗₍₀₎ - C_t◖a◗₍₀₎ * Psi_con◖6◗◖a◗ * (1 / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigc◖a◗))), :(I_t◖6◗◖a◗₍₀₎ - I_t◖a◗₍₀₎ * Psi_inv◖6◗◖a◗ * (PI_t◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigi◖a◗))), :(N_t◖6◗◖a◗₍₀₎ - N_t◖a◗₍₀₎ * omega_N◖6◗◖a◗ * (w_t◖a◗₍₀₎ / w_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - upsi_N◖a◗))), :(K_t◖6◗◖a◗₍₀₎ - K_t◖a◗₍₀₎ * omega_K◖6◗◖a◗ * (rk_t◖a◗₍₁₎ / rk_t◖6◗◖a◗₍₁₎) ^ (1 / (1 - upsi_K◖a◗))), :(Y_t◖6◗◖a◗₍₀₎ - (C_t◖6◗◖a◗₍₀₎ + I_t◖6◗◖a◗₍₀₎ + ((Y_t◖6◗◖a◗₍₀₎ * kappap◖6◗◖a◗) / 2) * (pi_ppi_t◖6◗◖a◗₍₁₎ - 1) ^ 2 + (H_t◖1◗◖6◗◖a◗₍₀₎ + H_t◖2◗◖6◗◖a◗₍₀₎ + H_t◖3◗◖6◗◖a◗₍₀₎ + H_t◖4◗◖6◗◖a◗₍₀₎ + H_t◖5◗◖6◗◖a◗₍₀₎ + H_t◖6◗◖6◗◖a◗₍₀₎ + H_t◖7◗◖6◗◖a◗₍₀₎ + H_t◖8◗◖6◗◖a◗₍₀₎ + H_t◖9◗◖6◗◖a◗₍₀₎ + H_t◖10◗◖6◗◖a◗₍₀₎))), :(Y_t◖6◗◖a◗₍₀₎ - epsi_t◖a◗₍₀₎ * epsi_t◖6◗◖a◗₍₀₎ * (1 - Pen_t◖6◗◖a◗₍₀₎) * (N_t◖6◗◖a◗₍₀₎ ^ alphaN◖6◗◖a◗ * K_t◖6◗◖a◗₍₋₁₎ ^ (1 - alphaN◖6◗◖a◗)) ^ alphaH◖6◗◖a◗ * H_t◖6◗◖a◗₍₀₎ ^ (1 - alphaH◖6◗◖a◗)), :(EM_cost_t◖6◗◖a◗₍₀₎ - P_EM_t◖a◗₍₀₎ * (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖6◗◖a◗), :(mc_tild_t◖6◗◖a◗₍₀₎ - (EM_cost_t◖6◗◖a◗₍₀₎ + mc_t◖6◗◖a◗₍₀₎)), :(((1 - thetap◖6◗◖a◗) + (mc_tild_t◖6◗◖a◗₍₀₎ * thetap◖6◗◖a◗) / P_t◖6◗◖a◗₍₀₎ + ((((((pi_ppi_t◖6◗◖a◗₍₁₎ - 1) * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * kappap◖6◗◖a◗ * pi_ppi_t◖6◗◖a◗₍₁₎ ^ 2) / pi_cpi_t◖a◗₍₁₎) * Y_t◖6◗◖a◗₍₁₎) / Y_t◖6◗◖a◗₍₀₎) - (pi_ppi_t◖6◗◖a◗₍₀₎ * kappap◖6◗◖a◗ * (pi_ppi_t◖6◗◖a◗₍₀₎ - 1) + (((1 - thetap◖6◗◖a◗) * kappap◖6◗◖a◗) / 2) * (pi_ppi_t◖6◗◖a◗₍₀₎ - 1) ^ 2)), :(w_t◖6◗◖a◗₍₀₎ - (Y_t◖6◗◖a◗₍₀₎ * mc_t◖6◗◖a◗₍₀₎ * alphaN◖6◗◖a◗ * alphaH◖6◗◖a◗) / N_t◖6◗◖a◗₍₀₎), :(rk_t◖6◗◖a◗₍₀₎ - (Y_t◖6◗◖a◗₍₀₎ * mc_t◖6◗◖a◗₍₀₎ * (1 - alphaN◖6◗◖a◗) * alphaH◖6◗◖a◗) / K_t◖6◗◖a◗₍₋₁₎), :(PH_t◖6◗◖a◗₍₀₎ - (Y_t◖6◗◖a◗₍₀₎ * (1 - alphaH◖6◗◖a◗) * mc_t◖6◗◖a◗₍₀₎) / H_t◖6◗◖a◗₍₀₎), :(PH_t◖6◗◖a◗₍₀₎ - (Psi◖6◗◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigh◖6◗◖a◗ / (1 - sigh◖6◗◖a◗)) + Psi◖6◗◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigh◖6◗◖a◗ / (1 - sigh◖6◗◖a◗)) + Psi◖6◗◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigh◖6◗◖a◗ / (1 - sigh◖6◗◖a◗)) + Psi◖6◗◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigh◖6◗◖a◗ / (1 - sigh◖6◗◖a◗)) + Psi◖6◗◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigh◖6◗◖a◗ / (1 - sigh◖6◗◖a◗)) + Psi◖6◗◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigh◖6◗◖a◗ / (1 - sigh◖6◗◖a◗)) + Psi◖6◗◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigh◖6◗◖a◗ / (1 - sigh◖6◗◖a◗)) + Psi◖6◗◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigh◖6◗◖a◗ / (1 - sigh◖6◗◖a◗)) + Psi◖6◗◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigh◖6◗◖a◗ / (1 - sigh◖6◗◖a◗)) + Psi◖6◗◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigh◖6◗◖a◗ / (1 - sigh◖6◗◖a◗))) ^ (-((1 - sigh◖6◗◖a◗)) / sigh◖6◗◖a◗)), :(H_t◖6◗◖1◗◖a◗₍₀₎ - H_t◖6◗◖a◗₍₀₎ * Psi◖6◗◖1◗◖a◗ * (PH_t◖6◗◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖6◗◖a◗))), :(H_t◖6◗◖2◗◖a◗₍₀₎ - H_t◖6◗◖a◗₍₀₎ * Psi◖6◗◖2◗◖a◗ * (PH_t◖6◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖6◗◖a◗))), :(H_t◖6◗◖3◗◖a◗₍₀₎ - H_t◖6◗◖a◗₍₀₎ * Psi◖6◗◖3◗◖a◗ * (PH_t◖6◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖6◗◖a◗))), :(H_t◖6◗◖4◗◖a◗₍₀₎ - H_t◖6◗◖a◗₍₀₎ * Psi◖6◗◖4◗◖a◗ * (PH_t◖6◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖6◗◖a◗))), :(H_t◖6◗◖5◗◖a◗₍₀₎ - H_t◖6◗◖a◗₍₀₎ * Psi◖6◗◖5◗◖a◗ * (PH_t◖6◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖6◗◖a◗))), :(H_t◖6◗◖6◗◖a◗₍₀₎ - H_t◖6◗◖a◗₍₀₎ * Psi◖6◗◖6◗◖a◗ * (PH_t◖6◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖6◗◖a◗))), :(H_t◖6◗◖7◗◖a◗₍₀₎ - H_t◖6◗◖a◗₍₀₎ * Psi◖6◗◖7◗◖a◗ * (PH_t◖6◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖6◗◖a◗))), :(H_t◖6◗◖8◗◖a◗₍₀₎ - H_t◖6◗◖a◗₍₀₎ * Psi◖6◗◖8◗◖a◗ * (PH_t◖6◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖6◗◖a◗))), :(H_t◖6◗◖9◗◖a◗₍₀₎ - H_t◖6◗◖a◗₍₀₎ * Psi◖6◗◖9◗◖a◗ * (PH_t◖6◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖6◗◖a◗))), :(H_t◖6◗◖10◗◖a◗₍₀₎ - H_t◖6◗◖a◗₍₀₎ * Psi◖6◗◖10◗◖a◗ * (PH_t◖6◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖6◗◖a◗))), :(log(epsi_t◖6◗◖a◗₍₀₎ / epsi_ts◖6◗◖a◗) - (rho_eps◖a◗ * log(epsi_t◖6◗◖a◗₍₋₁₎ / epsi_ts◖6◗◖a◗) - shock_epsi_t◖6◗◖a◗₍ₓ₎)), :(C_t◖7◗◖a◗₍₀₎ - C_t◖a◗₍₀₎ * Psi_con◖7◗◖a◗ * (1 / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigc◖a◗))), :(I_t◖7◗◖a◗₍₀₎ - I_t◖a◗₍₀₎ * Psi_inv◖7◗◖a◗ * (PI_t◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigi◖a◗))), :(N_t◖7◗◖a◗₍₀₎ - N_t◖a◗₍₀₎ * omega_N◖7◗◖a◗ * (w_t◖a◗₍₀₎ / w_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - upsi_N◖a◗))), :(K_t◖7◗◖a◗₍₀₎ - K_t◖a◗₍₀₎ * omega_K◖7◗◖a◗ * (rk_t◖a◗₍₁₎ / rk_t◖7◗◖a◗₍₁₎) ^ (1 / (1 - upsi_K◖a◗))), :(Y_t◖7◗◖a◗₍₀₎ - (C_t◖7◗◖a◗₍₀₎ + I_t◖7◗◖a◗₍₀₎ + ((Y_t◖7◗◖a◗₍₀₎ * kappap◖7◗◖a◗) / 2) * (pi_ppi_t◖7◗◖a◗₍₁₎ - 1) ^ 2 + (H_t◖1◗◖7◗◖a◗₍₀₎ + H_t◖2◗◖7◗◖a◗₍₀₎ + H_t◖3◗◖7◗◖a◗₍₀₎ + H_t◖4◗◖7◗◖a◗₍₀₎ + H_t◖5◗◖7◗◖a◗₍₀₎ + H_t◖6◗◖7◗◖a◗₍₀₎ + H_t◖7◗◖7◗◖a◗₍₀₎ + H_t◖8◗◖7◗◖a◗₍₀₎ + H_t◖9◗◖7◗◖a◗₍₀₎ + H_t◖10◗◖7◗◖a◗₍₀₎))), :(Y_t◖7◗◖a◗₍₀₎ - epsi_t◖a◗₍₀₎ * epsi_t◖7◗◖a◗₍₀₎ * (1 - Pen_t◖7◗◖a◗₍₀₎) * (N_t◖7◗◖a◗₍₀₎ ^ alphaN◖7◗◖a◗ * K_t◖7◗◖a◗₍₋₁₎ ^ (1 - alphaN◖7◗◖a◗)) ^ alphaH◖7◗◖a◗ * H_t◖7◗◖a◗₍₀₎ ^ (1 - alphaH◖7◗◖a◗)), :(EM_cost_t◖7◗◖a◗₍₀₎ - P_EM_t◖a◗₍₀₎ * (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖7◗◖a◗), :(mc_tild_t◖7◗◖a◗₍₀₎ - (EM_cost_t◖7◗◖a◗₍₀₎ + mc_t◖7◗◖a◗₍₀₎)), :(((1 - thetap◖7◗◖a◗) + (mc_tild_t◖7◗◖a◗₍₀₎ * thetap◖7◗◖a◗) / P_t◖7◗◖a◗₍₀₎ + ((((((pi_ppi_t◖7◗◖a◗₍₁₎ - 1) * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * kappap◖7◗◖a◗ * pi_ppi_t◖7◗◖a◗₍₁₎ ^ 2) / pi_cpi_t◖a◗₍₁₎) * Y_t◖7◗◖a◗₍₁₎) / Y_t◖7◗◖a◗₍₀₎) - (pi_ppi_t◖7◗◖a◗₍₀₎ * kappap◖7◗◖a◗ * (pi_ppi_t◖7◗◖a◗₍₀₎ - 1) + (((1 - thetap◖7◗◖a◗) * kappap◖7◗◖a◗) / 2) * (pi_ppi_t◖7◗◖a◗₍₀₎ - 1) ^ 2)), :(w_t◖7◗◖a◗₍₀₎ - (Y_t◖7◗◖a◗₍₀₎ * mc_t◖7◗◖a◗₍₀₎ * alphaN◖7◗◖a◗ * alphaH◖7◗◖a◗) / N_t◖7◗◖a◗₍₀₎), :(rk_t◖7◗◖a◗₍₀₎ - (Y_t◖7◗◖a◗₍₀₎ * mc_t◖7◗◖a◗₍₀₎ * (1 - alphaN◖7◗◖a◗) * alphaH◖7◗◖a◗) / K_t◖7◗◖a◗₍₋₁₎), :(PH_t◖7◗◖a◗₍₀₎ - (Y_t◖7◗◖a◗₍₀₎ * (1 - alphaH◖7◗◖a◗) * mc_t◖7◗◖a◗₍₀₎) / H_t◖7◗◖a◗₍₀₎), :(PH_t◖7◗◖a◗₍₀₎ - (Psi◖7◗◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigh◖7◗◖a◗ / (1 - sigh◖7◗◖a◗)) + Psi◖7◗◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigh◖7◗◖a◗ / (1 - sigh◖7◗◖a◗)) + Psi◖7◗◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigh◖7◗◖a◗ / (1 - sigh◖7◗◖a◗)) + Psi◖7◗◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigh◖7◗◖a◗ / (1 - sigh◖7◗◖a◗)) + Psi◖7◗◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigh◖7◗◖a◗ / (1 - sigh◖7◗◖a◗)) + Psi◖7◗◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigh◖7◗◖a◗ / (1 - sigh◖7◗◖a◗)) + Psi◖7◗◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigh◖7◗◖a◗ / (1 - sigh◖7◗◖a◗)) + Psi◖7◗◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigh◖7◗◖a◗ / (1 - sigh◖7◗◖a◗)) + Psi◖7◗◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigh◖7◗◖a◗ / (1 - sigh◖7◗◖a◗)) + Psi◖7◗◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigh◖7◗◖a◗ / (1 - sigh◖7◗◖a◗))) ^ (-((1 - sigh◖7◗◖a◗)) / sigh◖7◗◖a◗)), :(H_t◖7◗◖1◗◖a◗₍₀₎ - H_t◖7◗◖a◗₍₀₎ * Psi◖7◗◖1◗◖a◗ * (PH_t◖7◗◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖7◗◖a◗))), :(H_t◖7◗◖2◗◖a◗₍₀₎ - H_t◖7◗◖a◗₍₀₎ * Psi◖7◗◖2◗◖a◗ * (PH_t◖7◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖7◗◖a◗))), :(H_t◖7◗◖3◗◖a◗₍₀₎ - H_t◖7◗◖a◗₍₀₎ * Psi◖7◗◖3◗◖a◗ * (PH_t◖7◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖7◗◖a◗))), :(H_t◖7◗◖4◗◖a◗₍₀₎ - H_t◖7◗◖a◗₍₀₎ * Psi◖7◗◖4◗◖a◗ * (PH_t◖7◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖7◗◖a◗))), :(H_t◖7◗◖5◗◖a◗₍₀₎ - H_t◖7◗◖a◗₍₀₎ * Psi◖7◗◖5◗◖a◗ * (PH_t◖7◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖7◗◖a◗))), :(H_t◖7◗◖6◗◖a◗₍₀₎ - H_t◖7◗◖a◗₍₀₎ * Psi◖7◗◖6◗◖a◗ * (PH_t◖7◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖7◗◖a◗))), :(H_t◖7◗◖7◗◖a◗₍₀₎ - H_t◖7◗◖a◗₍₀₎ * Psi◖7◗◖7◗◖a◗ * (PH_t◖7◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖7◗◖a◗))), :(H_t◖7◗◖8◗◖a◗₍₀₎ - H_t◖7◗◖a◗₍₀₎ * Psi◖7◗◖8◗◖a◗ * (PH_t◖7◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖7◗◖a◗))), :(H_t◖7◗◖9◗◖a◗₍₀₎ - H_t◖7◗◖a◗₍₀₎ * Psi◖7◗◖9◗◖a◗ * (PH_t◖7◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖7◗◖a◗))), :(H_t◖7◗◖10◗◖a◗₍₀₎ - H_t◖7◗◖a◗₍₀₎ * Psi◖7◗◖10◗◖a◗ * (PH_t◖7◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖7◗◖a◗))), :(log(epsi_t◖7◗◖a◗₍₀₎ / epsi_ts◖7◗◖a◗) - (rho_eps◖a◗ * log(epsi_t◖7◗◖a◗₍₋₁₎ / epsi_ts◖7◗◖a◗) - shock_epsi_t◖7◗◖a◗₍ₓ₎)), :(C_t◖8◗◖a◗₍₀₎ - C_t◖a◗₍₀₎ * Psi_con◖8◗◖a◗ * (1 / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigc◖a◗))), :(I_t◖8◗◖a◗₍₀₎ - I_t◖a◗₍₀₎ * Psi_inv◖8◗◖a◗ * (PI_t◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigi◖a◗))), :(N_t◖8◗◖a◗₍₀₎ - N_t◖a◗₍₀₎ * omega_N◖8◗◖a◗ * (w_t◖a◗₍₀₎ / w_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - upsi_N◖a◗))), :(K_t◖8◗◖a◗₍₀₎ - K_t◖a◗₍₀₎ * omega_K◖8◗◖a◗ * (rk_t◖a◗₍₁₎ / rk_t◖8◗◖a◗₍₁₎) ^ (1 / (1 - upsi_K◖a◗))), :(Y_t◖8◗◖a◗₍₀₎ - (C_t◖8◗◖a◗₍₀₎ + I_t◖8◗◖a◗₍₀₎ + ((Y_t◖8◗◖a◗₍₀₎ * kappap◖8◗◖a◗) / 2) * (pi_ppi_t◖8◗◖a◗₍₁₎ - 1) ^ 2 + (H_t◖1◗◖8◗◖a◗₍₀₎ + H_t◖2◗◖8◗◖a◗₍₀₎ + H_t◖3◗◖8◗◖a◗₍₀₎ + H_t◖4◗◖8◗◖a◗₍₀₎ + H_t◖5◗◖8◗◖a◗₍₀₎ + H_t◖6◗◖8◗◖a◗₍₀₎ + H_t◖7◗◖8◗◖a◗₍₀₎ + H_t◖8◗◖8◗◖a◗₍₀₎ + H_t◖9◗◖8◗◖a◗₍₀₎ + H_t◖10◗◖8◗◖a◗₍₀₎))), :(Y_t◖8◗◖a◗₍₀₎ - epsi_t◖a◗₍₀₎ * epsi_t◖8◗◖a◗₍₀₎ * (1 - Pen_t◖8◗◖a◗₍₀₎) * (N_t◖8◗◖a◗₍₀₎ ^ alphaN◖8◗◖a◗ * K_t◖8◗◖a◗₍₋₁₎ ^ (1 - alphaN◖8◗◖a◗)) ^ alphaH◖8◗◖a◗ * H_t◖8◗◖a◗₍₀₎ ^ (1 - alphaH◖8◗◖a◗)), :(EM_cost_t◖8◗◖a◗₍₀₎ - P_EM_t◖a◗₍₀₎ * (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖8◗◖a◗), :(mc_tild_t◖8◗◖a◗₍₀₎ - (EM_cost_t◖8◗◖a◗₍₀₎ + mc_t◖8◗◖a◗₍₀₎)), :(((1 - thetap◖8◗◖a◗) + (mc_tild_t◖8◗◖a◗₍₀₎ * thetap◖8◗◖a◗) / P_t◖8◗◖a◗₍₀₎ + ((((((pi_ppi_t◖8◗◖a◗₍₁₎ - 1) * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * kappap◖8◗◖a◗ * pi_ppi_t◖8◗◖a◗₍₁₎ ^ 2) / pi_cpi_t◖a◗₍₁₎) * Y_t◖8◗◖a◗₍₁₎) / Y_t◖8◗◖a◗₍₀₎) - (pi_ppi_t◖8◗◖a◗₍₀₎ * kappap◖8◗◖a◗ * (pi_ppi_t◖8◗◖a◗₍₀₎ - 1) + (((1 - thetap◖8◗◖a◗) * kappap◖8◗◖a◗) / 2) * (pi_ppi_t◖8◗◖a◗₍₀₎ - 1) ^ 2)), :(w_t◖8◗◖a◗₍₀₎ - (Y_t◖8◗◖a◗₍₀₎ * mc_t◖8◗◖a◗₍₀₎ * alphaN◖8◗◖a◗ * alphaH◖8◗◖a◗) / N_t◖8◗◖a◗₍₀₎), :(rk_t◖8◗◖a◗₍₀₎ - (Y_t◖8◗◖a◗₍₀₎ * mc_t◖8◗◖a◗₍₀₎ * (1 - alphaN◖8◗◖a◗) * alphaH◖8◗◖a◗) / K_t◖8◗◖a◗₍₋₁₎), :(PH_t◖8◗◖a◗₍₀₎ - (Y_t◖8◗◖a◗₍₀₎ * (1 - alphaH◖8◗◖a◗) * mc_t◖8◗◖a◗₍₀₎) / H_t◖8◗◖a◗₍₀₎), :(PH_t◖8◗◖a◗₍₀₎ - (Psi◖8◗◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigh◖8◗◖a◗ / (1 - sigh◖8◗◖a◗)) + Psi◖8◗◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigh◖8◗◖a◗ / (1 - sigh◖8◗◖a◗)) + Psi◖8◗◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigh◖8◗◖a◗ / (1 - sigh◖8◗◖a◗)) + Psi◖8◗◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigh◖8◗◖a◗ / (1 - sigh◖8◗◖a◗)) + Psi◖8◗◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigh◖8◗◖a◗ / (1 - sigh◖8◗◖a◗)) + Psi◖8◗◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigh◖8◗◖a◗ / (1 - sigh◖8◗◖a◗)) + Psi◖8◗◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigh◖8◗◖a◗ / (1 - sigh◖8◗◖a◗)) + Psi◖8◗◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigh◖8◗◖a◗ / (1 - sigh◖8◗◖a◗)) + Psi◖8◗◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigh◖8◗◖a◗ / (1 - sigh◖8◗◖a◗)) + Psi◖8◗◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigh◖8◗◖a◗ / (1 - sigh◖8◗◖a◗))) ^ (-((1 - sigh◖8◗◖a◗)) / sigh◖8◗◖a◗)), :(H_t◖8◗◖1◗◖a◗₍₀₎ - H_t◖8◗◖a◗₍₀₎ * Psi◖8◗◖1◗◖a◗ * (PH_t◖8◗◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖8◗◖a◗))), :(H_t◖8◗◖2◗◖a◗₍₀₎ - H_t◖8◗◖a◗₍₀₎ * Psi◖8◗◖2◗◖a◗ * (PH_t◖8◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖8◗◖a◗))), :(H_t◖8◗◖3◗◖a◗₍₀₎ - H_t◖8◗◖a◗₍₀₎ * Psi◖8◗◖3◗◖a◗ * (PH_t◖8◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖8◗◖a◗))), :(H_t◖8◗◖4◗◖a◗₍₀₎ - H_t◖8◗◖a◗₍₀₎ * Psi◖8◗◖4◗◖a◗ * (PH_t◖8◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖8◗◖a◗))), :(H_t◖8◗◖5◗◖a◗₍₀₎ - H_t◖8◗◖a◗₍₀₎ * Psi◖8◗◖5◗◖a◗ * (PH_t◖8◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖8◗◖a◗))), :(H_t◖8◗◖6◗◖a◗₍₀₎ - H_t◖8◗◖a◗₍₀₎ * Psi◖8◗◖6◗◖a◗ * (PH_t◖8◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖8◗◖a◗))), :(H_t◖8◗◖7◗◖a◗₍₀₎ - H_t◖8◗◖a◗₍₀₎ * Psi◖8◗◖7◗◖a◗ * (PH_t◖8◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖8◗◖a◗))), :(H_t◖8◗◖8◗◖a◗₍₀₎ - H_t◖8◗◖a◗₍₀₎ * Psi◖8◗◖8◗◖a◗ * (PH_t◖8◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖8◗◖a◗))), :(H_t◖8◗◖9◗◖a◗₍₀₎ - H_t◖8◗◖a◗₍₀₎ * Psi◖8◗◖9◗◖a◗ * (PH_t◖8◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖8◗◖a◗))), :(H_t◖8◗◖10◗◖a◗₍₀₎ - H_t◖8◗◖a◗₍₀₎ * Psi◖8◗◖10◗◖a◗ * (PH_t◖8◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖8◗◖a◗))), :(log(epsi_t◖8◗◖a◗₍₀₎ / epsi_ts◖8◗◖a◗) - (rho_eps◖a◗ * log(epsi_t◖8◗◖a◗₍₋₁₎ / epsi_ts◖8◗◖a◗) - shock_epsi_t◖8◗◖a◗₍ₓ₎)), :(C_t◖9◗◖a◗₍₀₎ - C_t◖a◗₍₀₎ * Psi_con◖9◗◖a◗ * (1 / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigc◖a◗))), :(I_t◖9◗◖a◗₍₀₎ - I_t◖a◗₍₀₎ * Psi_inv◖9◗◖a◗ * (PI_t◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigi◖a◗))), :(N_t◖9◗◖a◗₍₀₎ - N_t◖a◗₍₀₎ * omega_N◖9◗◖a◗ * (w_t◖a◗₍₀₎ / w_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - upsi_N◖a◗))), :(K_t◖9◗◖a◗₍₀₎ - K_t◖a◗₍₀₎ * omega_K◖9◗◖a◗ * (rk_t◖a◗₍₁₎ / rk_t◖9◗◖a◗₍₁₎) ^ (1 / (1 - upsi_K◖a◗))), :(Y_t◖9◗◖a◗₍₀₎ - (C_t◖9◗◖a◗₍₀₎ + I_t◖9◗◖a◗₍₀₎ + ((Y_t◖9◗◖a◗₍₀₎ * kappap◖9◗◖a◗) / 2) * (pi_ppi_t◖9◗◖a◗₍₁₎ - 1) ^ 2 + (H_t◖1◗◖9◗◖a◗₍₀₎ + H_t◖2◗◖9◗◖a◗₍₀₎ + H_t◖3◗◖9◗◖a◗₍₀₎ + H_t◖4◗◖9◗◖a◗₍₀₎ + H_t◖5◗◖9◗◖a◗₍₀₎ + H_t◖6◗◖9◗◖a◗₍₀₎ + H_t◖7◗◖9◗◖a◗₍₀₎ + H_t◖8◗◖9◗◖a◗₍₀₎ + H_t◖9◗◖9◗◖a◗₍₀₎ + H_t◖10◗◖9◗◖a◗₍₀₎))), :(Y_t◖9◗◖a◗₍₀₎ - epsi_t◖a◗₍₀₎ * epsi_t◖9◗◖a◗₍₀₎ * (1 - Pen_t◖9◗◖a◗₍₀₎) * (N_t◖9◗◖a◗₍₀₎ ^ alphaN◖9◗◖a◗ * K_t◖9◗◖a◗₍₋₁₎ ^ (1 - alphaN◖9◗◖a◗)) ^ alphaH◖9◗◖a◗ * H_t◖9◗◖a◗₍₀₎ ^ (1 - alphaH◖9◗◖a◗)), :(EM_cost_t◖9◗◖a◗₍₀₎ - P_EM_t◖a◗₍₀₎ * (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖9◗◖a◗), :(mc_tild_t◖9◗◖a◗₍₀₎ - (EM_cost_t◖9◗◖a◗₍₀₎ + mc_t◖9◗◖a◗₍₀₎)), :(((1 - thetap◖9◗◖a◗) + (mc_tild_t◖9◗◖a◗₍₀₎ * thetap◖9◗◖a◗) / P_t◖9◗◖a◗₍₀₎ + ((((((pi_ppi_t◖9◗◖a◗₍₁₎ - 1) * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * kappap◖9◗◖a◗ * pi_ppi_t◖9◗◖a◗₍₁₎ ^ 2) / pi_cpi_t◖a◗₍₁₎) * Y_t◖9◗◖a◗₍₁₎) / Y_t◖9◗◖a◗₍₀₎) - (pi_ppi_t◖9◗◖a◗₍₀₎ * kappap◖9◗◖a◗ * (pi_ppi_t◖9◗◖a◗₍₀₎ - 1) + (((1 - thetap◖9◗◖a◗) * kappap◖9◗◖a◗) / 2) * (pi_ppi_t◖9◗◖a◗₍₀₎ - 1) ^ 2)), :(w_t◖9◗◖a◗₍₀₎ - (Y_t◖9◗◖a◗₍₀₎ * mc_t◖9◗◖a◗₍₀₎ * alphaN◖9◗◖a◗ * alphaH◖9◗◖a◗) / N_t◖9◗◖a◗₍₀₎), :(rk_t◖9◗◖a◗₍₀₎ - (Y_t◖9◗◖a◗₍₀₎ * mc_t◖9◗◖a◗₍₀₎ * (1 - alphaN◖9◗◖a◗) * alphaH◖9◗◖a◗) / K_t◖9◗◖a◗₍₋₁₎), :(PH_t◖9◗◖a◗₍₀₎ - (Y_t◖9◗◖a◗₍₀₎ * (1 - alphaH◖9◗◖a◗) * mc_t◖9◗◖a◗₍₀₎) / H_t◖9◗◖a◗₍₀₎), :(PH_t◖9◗◖a◗₍₀₎ - (Psi◖9◗◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigh◖9◗◖a◗ / (1 - sigh◖9◗◖a◗)) + Psi◖9◗◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigh◖9◗◖a◗ / (1 - sigh◖9◗◖a◗)) + Psi◖9◗◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigh◖9◗◖a◗ / (1 - sigh◖9◗◖a◗)) + Psi◖9◗◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigh◖9◗◖a◗ / (1 - sigh◖9◗◖a◗)) + Psi◖9◗◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigh◖9◗◖a◗ / (1 - sigh◖9◗◖a◗)) + Psi◖9◗◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigh◖9◗◖a◗ / (1 - sigh◖9◗◖a◗)) + Psi◖9◗◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigh◖9◗◖a◗ / (1 - sigh◖9◗◖a◗)) + Psi◖9◗◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigh◖9◗◖a◗ / (1 - sigh◖9◗◖a◗)) + Psi◖9◗◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigh◖9◗◖a◗ / (1 - sigh◖9◗◖a◗)) + Psi◖9◗◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigh◖9◗◖a◗ / (1 - sigh◖9◗◖a◗))) ^ (-((1 - sigh◖9◗◖a◗)) / sigh◖9◗◖a◗)), :(H_t◖9◗◖1◗◖a◗₍₀₎ - H_t◖9◗◖a◗₍₀₎ * Psi◖9◗◖1◗◖a◗ * (PH_t◖9◗◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖9◗◖a◗))), :(H_t◖9◗◖2◗◖a◗₍₀₎ - H_t◖9◗◖a◗₍₀₎ * Psi◖9◗◖2◗◖a◗ * (PH_t◖9◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖9◗◖a◗))), :(H_t◖9◗◖3◗◖a◗₍₀₎ - H_t◖9◗◖a◗₍₀₎ * Psi◖9◗◖3◗◖a◗ * (PH_t◖9◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖9◗◖a◗))), :(H_t◖9◗◖4◗◖a◗₍₀₎ - H_t◖9◗◖a◗₍₀₎ * Psi◖9◗◖4◗◖a◗ * (PH_t◖9◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖9◗◖a◗))), :(H_t◖9◗◖5◗◖a◗₍₀₎ - H_t◖9◗◖a◗₍₀₎ * Psi◖9◗◖5◗◖a◗ * (PH_t◖9◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖9◗◖a◗))), :(H_t◖9◗◖6◗◖a◗₍₀₎ - H_t◖9◗◖a◗₍₀₎ * Psi◖9◗◖6◗◖a◗ * (PH_t◖9◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖9◗◖a◗))), :(H_t◖9◗◖7◗◖a◗₍₀₎ - H_t◖9◗◖a◗₍₀₎ * Psi◖9◗◖7◗◖a◗ * (PH_t◖9◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖9◗◖a◗))), :(H_t◖9◗◖8◗◖a◗₍₀₎ - H_t◖9◗◖a◗₍₀₎ * Psi◖9◗◖8◗◖a◗ * (PH_t◖9◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖9◗◖a◗))), :(H_t◖9◗◖9◗◖a◗₍₀₎ - H_t◖9◗◖a◗₍₀₎ * Psi◖9◗◖9◗◖a◗ * (PH_t◖9◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖9◗◖a◗))), :(H_t◖9◗◖10◗◖a◗₍₀₎ - H_t◖9◗◖a◗₍₀₎ * Psi◖9◗◖10◗◖a◗ * (PH_t◖9◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖9◗◖a◗))), :(log(epsi_t◖9◗◖a◗₍₀₎ / epsi_ts◖9◗◖a◗) - (rho_eps◖a◗ * log(epsi_t◖9◗◖a◗₍₋₁₎ / epsi_ts◖9◗◖a◗) - shock_epsi_t◖9◗◖a◗₍ₓ₎)), :(C_t◖10◗◖a◗₍₀₎ - C_t◖a◗₍₀₎ * Psi_con◖10◗◖a◗ * (1 / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigc◖a◗))), :(I_t◖10◗◖a◗₍₀₎ - I_t◖a◗₍₀₎ * Psi_inv◖10◗◖a◗ * (PI_t◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigi◖a◗))), :(N_t◖10◗◖a◗₍₀₎ - N_t◖a◗₍₀₎ * omega_N◖10◗◖a◗ * (w_t◖a◗₍₀₎ / w_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - upsi_N◖a◗))), :(K_t◖10◗◖a◗₍₀₎ - K_t◖a◗₍₀₎ * omega_K◖10◗◖a◗ * (rk_t◖a◗₍₁₎ / rk_t◖10◗◖a◗₍₁₎) ^ (1 / (1 - upsi_K◖a◗))), :(Y_t◖10◗◖a◗₍₀₎ - (C_t◖10◗◖a◗₍₀₎ + I_t◖10◗◖a◗₍₀₎ + ((Y_t◖10◗◖a◗₍₀₎ * kappap◖10◗◖a◗) / 2) * (pi_ppi_t◖10◗◖a◗₍₁₎ - 1) ^ 2 + (H_t◖1◗◖10◗◖a◗₍₀₎ + H_t◖2◗◖10◗◖a◗₍₀₎ + H_t◖3◗◖10◗◖a◗₍₀₎ + H_t◖4◗◖10◗◖a◗₍₀₎ + H_t◖5◗◖10◗◖a◗₍₀₎ + H_t◖6◗◖10◗◖a◗₍₀₎ + H_t◖7◗◖10◗◖a◗₍₀₎ + H_t◖8◗◖10◗◖a◗₍₀₎ + H_t◖9◗◖10◗◖a◗₍₀₎ + H_t◖10◗◖10◗◖a◗₍₀₎))), :(Y_t◖10◗◖a◗₍₀₎ - epsi_t◖a◗₍₀₎ * epsi_t◖10◗◖a◗₍₀₎ * (1 - Pen_t◖10◗◖a◗₍₀₎) * (N_t◖10◗◖a◗₍₀₎ ^ alphaN◖10◗◖a◗ * K_t◖10◗◖a◗₍₋₁₎ ^ (1 - alphaN◖10◗◖a◗)) ^ alphaH◖10◗◖a◗ * H_t◖10◗◖a◗₍₀₎ ^ (1 - alphaH◖10◗◖a◗)), :(EM_cost_t◖10◗◖a◗₍₀₎ - P_EM_t◖a◗₍₀₎ * (1 + shock_epsi_carb_int_t◖a◗₍ₓ₎) * carb_int◖10◗◖a◗), :(mc_tild_t◖10◗◖a◗₍₀₎ - (EM_cost_t◖10◗◖a◗₍₀₎ + mc_t◖10◗◖a◗₍₀₎)), :(((1 - thetap◖10◗◖a◗) + (mc_tild_t◖10◗◖a◗₍₀₎ * thetap◖10◗◖a◗) / P_t◖10◗◖a◗₍₀₎ + ((((((pi_ppi_t◖10◗◖a◗₍₁₎ - 1) * betta * lambda_t◖a◗₍₁₎) / lambda_t◖a◗₍₀₎) * kappap◖10◗◖a◗ * pi_ppi_t◖10◗◖a◗₍₁₎ ^ 2) / pi_cpi_t◖a◗₍₁₎) * Y_t◖10◗◖a◗₍₁₎) / Y_t◖10◗◖a◗₍₀₎) - (pi_ppi_t◖10◗◖a◗₍₀₎ * kappap◖10◗◖a◗ * (pi_ppi_t◖10◗◖a◗₍₀₎ - 1) + (((1 - thetap◖10◗◖a◗) * kappap◖10◗◖a◗) / 2) * (pi_ppi_t◖10◗◖a◗₍₀₎ - 1) ^ 2)), :(w_t◖10◗◖a◗₍₀₎ - (Y_t◖10◗◖a◗₍₀₎ * mc_t◖10◗◖a◗₍₀₎ * alphaN◖10◗◖a◗ * alphaH◖10◗◖a◗) / N_t◖10◗◖a◗₍₀₎), :(rk_t◖10◗◖a◗₍₀₎ - (Y_t◖10◗◖a◗₍₀₎ * mc_t◖10◗◖a◗₍₀₎ * (1 - alphaN◖10◗◖a◗) * alphaH◖10◗◖a◗) / K_t◖10◗◖a◗₍₋₁₎), :(PH_t◖10◗◖a◗₍₀₎ - (Y_t◖10◗◖a◗₍₀₎ * (1 - alphaH◖10◗◖a◗) * mc_t◖10◗◖a◗₍₀₎) / H_t◖10◗◖a◗₍₀₎), :(PH_t◖10◗◖a◗₍₀₎ - (Psi◖10◗◖1◗◖a◗ * P_t◖1◗◖a◗₍₀₎ ^ (-sigh◖10◗◖a◗ / (1 - sigh◖10◗◖a◗)) + Psi◖10◗◖2◗◖a◗ * P_t◖2◗◖a◗₍₀₎ ^ (-sigh◖10◗◖a◗ / (1 - sigh◖10◗◖a◗)) + Psi◖10◗◖3◗◖a◗ * P_t◖3◗◖a◗₍₀₎ ^ (-sigh◖10◗◖a◗ / (1 - sigh◖10◗◖a◗)) + Psi◖10◗◖4◗◖a◗ * P_t◖4◗◖a◗₍₀₎ ^ (-sigh◖10◗◖a◗ / (1 - sigh◖10◗◖a◗)) + Psi◖10◗◖5◗◖a◗ * P_t◖5◗◖a◗₍₀₎ ^ (-sigh◖10◗◖a◗ / (1 - sigh◖10◗◖a◗)) + Psi◖10◗◖6◗◖a◗ * P_t◖6◗◖a◗₍₀₎ ^ (-sigh◖10◗◖a◗ / (1 - sigh◖10◗◖a◗)) + Psi◖10◗◖7◗◖a◗ * P_t◖7◗◖a◗₍₀₎ ^ (-sigh◖10◗◖a◗ / (1 - sigh◖10◗◖a◗)) + Psi◖10◗◖8◗◖a◗ * P_t◖8◗◖a◗₍₀₎ ^ (-sigh◖10◗◖a◗ / (1 - sigh◖10◗◖a◗)) + Psi◖10◗◖9◗◖a◗ * P_t◖9◗◖a◗₍₀₎ ^ (-sigh◖10◗◖a◗ / (1 - sigh◖10◗◖a◗)) + Psi◖10◗◖10◗◖a◗ * P_t◖10◗◖a◗₍₀₎ ^ (-sigh◖10◗◖a◗ / (1 - sigh◖10◗◖a◗))) ^ (-((1 - sigh◖10◗◖a◗)) / sigh◖10◗◖a◗)), :(H_t◖10◗◖1◗◖a◗₍₀₎ - H_t◖10◗◖a◗₍₀₎ * Psi◖10◗◖1◗◖a◗ * (PH_t◖10◗◖a◗₍₀₎ / P_t◖1◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖10◗◖a◗))), :(H_t◖10◗◖2◗◖a◗₍₀₎ - H_t◖10◗◖a◗₍₀₎ * Psi◖10◗◖2◗◖a◗ * (PH_t◖10◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖10◗◖a◗))), :(H_t◖10◗◖3◗◖a◗₍₀₎ - H_t◖10◗◖a◗₍₀₎ * Psi◖10◗◖3◗◖a◗ * (PH_t◖10◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖10◗◖a◗))), :(H_t◖10◗◖4◗◖a◗₍₀₎ - H_t◖10◗◖a◗₍₀₎ * Psi◖10◗◖4◗◖a◗ * (PH_t◖10◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖10◗◖a◗))), :(H_t◖10◗◖5◗◖a◗₍₀₎ - H_t◖10◗◖a◗₍₀₎ * Psi◖10◗◖5◗◖a◗ * (PH_t◖10◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖10◗◖a◗))), :(H_t◖10◗◖6◗◖a◗₍₀₎ - H_t◖10◗◖a◗₍₀₎ * Psi◖10◗◖6◗◖a◗ * (PH_t◖10◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖10◗◖a◗))), :(H_t◖10◗◖7◗◖a◗₍₀₎ - H_t◖10◗◖a◗₍₀₎ * Psi◖10◗◖7◗◖a◗ * (PH_t◖10◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖10◗◖a◗))), :(H_t◖10◗◖8◗◖a◗₍₀₎ - H_t◖10◗◖a◗₍₀₎ * Psi◖10◗◖8◗◖a◗ * (PH_t◖10◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖10◗◖a◗))), :(H_t◖10◗◖9◗◖a◗₍₀₎ - H_t◖10◗◖a◗₍₀₎ * Psi◖10◗◖9◗◖a◗ * (PH_t◖10◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖10◗◖a◗))), :(H_t◖10◗◖10◗◖a◗₍₀₎ - H_t◖10◗◖a◗₍₀₎ * Psi◖10◗◖10◗◖a◗ * (PH_t◖10◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) ^ (1 / (1 - sigh◖10◗◖a◗))), :(log(epsi_t◖10◗◖a◗₍₀₎ / epsi_ts◖10◗◖a◗) - (rho_eps◖a◗ * log(epsi_t◖10◗◖a◗₍₋₁₎ / epsi_ts◖10◗◖a◗) - shock_epsi_t◖10◗◖a◗₍ₓ₎)), :(pi_ppi_t◖1◗◖a◗₍₀₎ / pi_ppi_t◖2◗◖a◗₍₀₎ - ((P_t◖1◗◖a◗₍₀₎ / P_t◖2◗◖a◗₍₀₎) * P_t◖2◗◖a◗₍₋₁₎) / P_t◖1◗◖a◗₍₋₁₎), :(pi_ppi_t◖1◗◖a◗₍₀₎ / pi_ppi_t◖3◗◖a◗₍₀₎ - ((P_t◖1◗◖a◗₍₀₎ / P_t◖3◗◖a◗₍₀₎) * P_t◖3◗◖a◗₍₋₁₎) / P_t◖1◗◖a◗₍₋₁₎), :(pi_ppi_t◖1◗◖a◗₍₀₎ / pi_ppi_t◖4◗◖a◗₍₀₎ - ((P_t◖1◗◖a◗₍₀₎ / P_t◖4◗◖a◗₍₀₎) * P_t◖4◗◖a◗₍₋₁₎) / P_t◖1◗◖a◗₍₋₁₎), :(pi_ppi_t◖1◗◖a◗₍₀₎ / pi_ppi_t◖5◗◖a◗₍₀₎ - ((P_t◖1◗◖a◗₍₀₎ / P_t◖5◗◖a◗₍₀₎) * P_t◖5◗◖a◗₍₋₁₎) / P_t◖1◗◖a◗₍₋₁₎), :(pi_ppi_t◖1◗◖a◗₍₀₎ / pi_ppi_t◖6◗◖a◗₍₀₎ - ((P_t◖1◗◖a◗₍₀₎ / P_t◖6◗◖a◗₍₀₎) * P_t◖6◗◖a◗₍₋₁₎) / P_t◖1◗◖a◗₍₋₁₎), :(pi_ppi_t◖1◗◖a◗₍₀₎ / pi_ppi_t◖7◗◖a◗₍₀₎ - ((P_t◖1◗◖a◗₍₀₎ / P_t◖7◗◖a◗₍₀₎) * P_t◖7◗◖a◗₍₋₁₎) / P_t◖1◗◖a◗₍₋₁₎), :(pi_ppi_t◖1◗◖a◗₍₀₎ / pi_ppi_t◖8◗◖a◗₍₀₎ - ((P_t◖1◗◖a◗₍₀₎ / P_t◖8◗◖a◗₍₀₎) * P_t◖8◗◖a◗₍₋₁₎) / P_t◖1◗◖a◗₍₋₁₎), :(pi_ppi_t◖1◗◖a◗₍₀₎ / pi_ppi_t◖9◗◖a◗₍₀₎ - ((P_t◖1◗◖a◗₍₀₎ / P_t◖9◗◖a◗₍₀₎) * P_t◖9◗◖a◗₍₋₁₎) / P_t◖1◗◖a◗₍₋₁₎), :(pi_ppi_t◖1◗◖a◗₍₀₎ / pi_ppi_t◖10◗◖a◗₍₀₎ - ((P_t◖1◗◖a◗₍₀₎ / P_t◖10◗◖a◗₍₀₎) * P_t◖10◗◖a◗₍₋₁₎) / P_t◖1◗◖a◗₍₋₁₎) \ No newline at end of file