help,Impossible to find the steady state!

Hi everyone,
I have checked almost all the parameters, steady state of the variables and equations, and modified as much as possible as I thought. Finally, there are still very small residuals when dynare computing steady state as follows.

Warning: Matrix is singular to working precision. 
> In trust_region>dogleg (line 198)
In trust_region (line 115)
In dynare_solve (line 255)
In evaluate_steady_state (line 221)
In steady_ (line 55)
In steady (line 80)
In TR_Execute1_DSGE_model_integratedall.driver (line 2607)
In dynare (line 293)
 




Residuals of the static equations:

Equation number 1 : 0 : auxiliary variable X_P
Equation number 2 : 0 : auxiliary variable X_P_N
Equation number 3 : 0 : auxiliary variable X_I
Equation number 4 : 0 : auxiliary variable X_I_N
Equation number 5 : 0 : auxiliary variable X_EE
Equation number 6 : 0 : auxiliary variable X_EE_N
Equation number 7 : 0 : auxiliary variable X651
Equation number 8 : 0 : auxiliary variable X651_N
Equation number 9 : 0 : auxiliary variable X29651
Equation number 10 : 0 : auxiliary variable X29651_N
Equation number 11 : 0 : auxiliary variable X29652
Equation number 12 : 0 : auxiliary variable X29652_N
Equation number 13 : 0 : auxiliary variable p_S
Equation number 14 : 0 : auxiliary variable p_F
Equation number 15 : 0 : auxiliary variable b_IF
Equation number 16 : 0 : auxiliary variable b_C_y_ratio
Equation number 17 : 0 : auxiliary variable b_IF_y_ratio
Equation number 18 : 0 : auxiliary variable npl
Equation number 19 : 0 : auxiliary variable b_y_ratio
Equation number 20 : 0 : auxiliary variable g_X_K
Equation number 21 : -0.07401 : FOC residential housing of patient household
Equation number 22 : -0.12359 : FOC labor supply of patient household
Equation number 23 : 0 : FOC deposit of patient household
Equation number 24 : -0.085154 : constraint condition of patient household
Equation number 25 : -0.0089893 : FOC residential housing of impatient household
Equation number 26 : 0 : FOC labor supply of impatient household
Equation number 27 : 0 : FOC consumer loan of impatient household
Equation number 28 : 0 : constraint condition of impatient household
Equation number 29 : 0 : constraint condition of impatient household
Equation number 30 : 0 : constraint condition of impatient household
Equation number 31 : -0.27862 : FOC labor demand of patient household by entrepreneurs
Equation number 32 : 0.3911 : FOC labor demand of impatient household by entrepreneurs
Equation number 33 : 0.0076184 : FOC capital demand by entrepreneurs
Equation number 34 : 0.14267 : FOC business loan of entrepreneurs
Equation number 35 : 0.17676 : FOC capacity utilization of entrepreneurs
Equation number 36 : -0.1837 : constraint condition of entrepreneurs
Equation number 37 : 0 : constraint condition of entrepreneurs
Equation number 38 : 0 : aggregate production of entrepreneurs
Equation number 39 : 0 : FOC intermediate goods price setting 
Equation number 40 : 1.0016 : FOC capital demand by real estate developer
Equation number 41 : 0.17848 : FOC labor demand of patient household by real estate developer
Equation number 42 : 0.20453 : FOC labor demand of impatient household by real estate developer
Equation number 43 : 0.0004604 : FOC land demand by real estate developer
Equation number 44 : 0.049051 : FOC land demand by real estate developer
Equation number 45 : 0.038994 : constraint condition of real estate developer
Equation number 46 : 0 : law of motion real estate
Equation number 47 : 0 : real estate production of real estate developer
Equation number 48 : 0 : aggregate labor demand by real estate developer
Equation number 49 : 0.0022703 : FOC goods demand and produced by capital goods producer
Equation number 50 : 0 : constraint condition of capital goods
Equation number 51 : 0 : law of motion capital goods
Equation number 52 : 0 : FOC interest rate of deposit in the jth bank
Equation number 53 : 0 : FOC interest rate of housing loan in the jth bank
Equation number 54 : 0 : FOC interest rate of consumer loan in the jth bank
Equation number 55 : 0 : FOC interest rate of business loan in the jth bank
Equation number 56 : 0 : FOC interest rate of real estate development loan in the jth bank
Equation number 57 : -0.048593 : FOC bank assets of wholesale branch
Equation number 58 : -0.013522 : FOC overall savings supply of society
Equation number 59 : 0.16831 : FOC labor demand ratio by real estate developer
Equation number 60 : 0.098375 : FOC (37)-(38)
Equation number 61 : 0 : balance sheet of bank
Equation number 62 : 0.013954 : law of motion bank capital
Equation number 63 : 0 : balance sheet of bank
Equation number 64 : 0 : aggregate labor market
Equation number 65 : 0 : aggregate consumption goods
Equation number 66 : 0 : labor market of patient household
Equation number 67 : 0 : labor market of impatient household
Equation number 68 : 0 : labor market of entrepreneur
Equation number 69 : 0 : real estate market
Equation number 70 : 0 : capital goods market
Equation number 71 : 0 : overall bank edposit market
Equation number 72 : 0 : final goods aggregation
Equation number 73 : 0 : final goods relative price setting
Equation number 74 : 0.00055872 : calculation overall firm profits
Equation number 75 : 0 : transfer payment from firms and banks
Equation number 76 : 0 : overall bank profits
Equation number 77 : 0 : interest rate market
Equation number 78 : 0.10476 : interest rate market
Equation number 79 : 0 : transfer payment from government
Equation number 80 : 0 : wage price setting
Equation number 81 : 0 : goods market
Equation number 82 : 0 : final goods relative price setting
Equation number 83 : 0 : target final goods relative price setting
Equation number 84 : 0.057786 : final goods market
Equation number 85 : 0 : final goods relative price setting
Equation number 86 : 0 : aggregate goods market
Equation number 87 : 0 : individual bank edposit market
Equation number 88 : 0 : individual bank edposit with patient household
Equation number 89 : 0 : interest rate market
Equation number 90 : 0 : interest rate market
Equation number 91 : 0 : interest rate market
Equation number 92 : 0 : interest rate market
Equation number 93 : 0 : interest rate market
Equation number 94 : -0.031254 : interest rate market
Equation number 95 : 0 : loan market
Equation number 96 : 0 : loan market
Equation number 97 : 0 : loan market
Equation number 98 : 0 : loan market
Equation number 99 : 0 : loan market
Equation number 100 : 0 : loan market
Equation number 101 : 0.004 : definition inflation
Equation number 102 : -0.07401 : FOC residential housing of patient household
Equation number 103 : -0.12359 : FOC labor supply of patient household
Equation number 104 : 0 : FOC deposit of patient household
Equation number 105 : -0.085154 : constraint condition of patient household
Equation number 106 : -0.0089893 : FOC residential housing of impatient household
Equation number 107 : 0 : FOC labor supply of impatient household
Equation number 108 : 0 : FOC consumer loan of impatient household
Equation number 109 : 0 : constraint condition of impatient household
Equation number 110 : 0 : constraint condition of impatient household
Equation number 111 : 0 : constraint condition of impatient household
Equation number 112 : -0.27862 : FOC labor demand of patient household by entrepreneurs
Equation number 113 : 0.3911 : FOC labor demand of impatient household by entrepreneurs
Equation number 114 : 0.0076184 : FOC capital demand by entrepreneurs
Equation number 115 : 0.14267 : FOC business loan of entrepreneurs
Equation number 116 : 0.17676 : FOC capacity utilization of entrepreneurs
Equation number 117 : -0.1837 : constraint condition of entrepreneurs
Equation number 118 : 0 : constraint condition of entrepreneurs
Equation number 119 : 0 : aggregate production of entrepreneurs
Equation number 120 : 0 : FOC intermediate goods price setting 
Equation number 121 : 1.0016 : FOC capital demand by real estate developer
Equation number 122 : 0.17848 : FOC labor demand of patient household by real estate developer
Equation number 123 : 0.20453 : FOC labor demand of impatient household by real estate developer
Equation number 124 : 0.0004604 : FOC land demand by real estate developer
Equation number 125 : 0.049051 : FOC land demand by real estate developer
Equation number 126 : 0.038994 : constraint condition of real estate developer
Equation number 127 : 0 : law of motion real estate
Equation number 128 : 0 : real estate production of real estate developer
Equation number 129 : 0 : aggregate labor demand by real estate developer
Equation number 130 : 0 : FOC goods demand and produced by capital goods producer
Equation number 131 : 0 : constraint condition of capital goods
Equation number 132 : 0 : law of motion capital goods
Equation number 133 : 0 : FOC interest rate of deposit in the jth bank
Equation number 134 : 0 : FOC interest rate of housing loan in the jth bank
Equation number 135 : 0 : FOC interest rate of consumer loan in the jth bank
Equation number 136 : 0 : FOC interest rate of business loan in the jth bank
Equation number 137 : 0 : FOC interest rate of real estate development loan in the jth bank
Equation number 138 : -0.048593 : FOC bank assets of wholesale branch
Equation number 139 : -0.013522 : FOC overall savings supply of society
Equation number 140 : 0.16831 : FOC labor demand ratio by real estate developer
Equation number 141 : 0.098375 : FOC (37)-(38)
Equation number 142 : 0 : balance sheet of bank
Equation number 143 : 0.013954 : law of motion bank capital
Equation number 144 : 0 : balance sheet of bank
Equation number 145 : 0 : aggregate labor market
Equation number 146 : 0 : aggregate consumption goods
Equation number 147 : 0 : labor market of patient household
Equation number 148 : 0 : labor market of impatient household
Equation number 149 : 0 : real estate market
Equation number 150 : 0 : capital goods market
Equation number 151 : 0 : overall bank edposit market
Equation number 152 : 0 : final goods aggregation
Equation number 153 : 0 : final goods relative price setting
Equation number 154 : 0.00055872 : calculation overall firm profits
Equation number 155 : 0 : transfer payment from firms and banks
Equation number 156 : 0 : overall bank profits
Equation number 157 : 0 : interest rate market
Equation number 158 : 0.10476 : interest rate market
Equation number 159 : 0 : transfer payment from government
Equation number 160 : 0 : wage price setting
Equation number 161 : 0 : goods market
Equation number 162 : -0.012121 : goods market
Equation number 163 : 0 : final goods relative price setting
Equation number 164 : 0 : target final goods relative price setting
Equation number 165 : 0 : final goods market
Equation number 166 : 0 : final goods relative price setting
Equation number 167 : 0 : aggregate goods market
Equation number 168 : 0 : individual bank edposit market
Equation number 169 : 0 : individual bank edposit with patient household
Equation number 170 : 0 : interest rate market
Equation number 171 : 0 : interest rate market
Equation number 172 : 0 : interest rate market
Equation number 173 : 0 : interest rate market
Equation number 174 : 0 : interest rate market
Equation number 175 : 0.058309 : interest rate market
Equation number 176 : 0 : loan market
Equation number 177 : 0 : loan market
Equation number 178 : 0 : loan market
Equation number 179 : 0 : loan market
Equation number 180 : 0 : loan market
Equation number 181 : 0 : loan market
Equation number 182 : 0.004 : definition inflation
Equation number 183 : 0 : labor market of entrepreneur
Equation number 184 : 0 : calculation risk weights
Equation number 185 : 0 : calculation risk weights
Equation number 186 : 0 : calculation risk weights
Equation number 187 : 0 : calculation risk weights
Equation number 188 : 0 : consumer demand preference shock
Equation number 189 : 0 : housing demand preference shock
Equation number 190 : 0 : final goods varieties elasticity of substitution shock
Equation number 191 : 0 : deposit varieties elasticity of substitution shock
Equation number 192 : 0 : entrepreneurs business loan varieties elasticity of substitution shock
Equation number 193 : 0 : consumer loan varieties elasticity of substitution shock
Equation number 194 : 0 : housing loan varieties elasticity of substitution shock
Equation number 195 : 0 : real estate development loan varieties elasticity of substitution shock
Equation number 196 : 0 : bank capital shock
Equation number 197 : 0 : entrepreneurs business loan default rate shock
Equation number 198 : 0 : consumer loan default rate shock
Equation number 199 : 0 : housing loan default rate shock
Equation number 200 : 0 : real estate development loan default rate shock
Equation number 201 : 0 : housing loan to value shock
Equation number 202 : 0 : entrepreneurs business loan to value shock
Equation number 203 : 0 : entrepreneurs total factor productivity shock
Equation number 204 : 0 : real estate developer total factor productivity shock
Equation number 205 : 0 : investment efficiency shock
Equation number 206 : 0 : land policy shock
Equation number 207 : 0 : land price gap
Equation number 208 : 0 : monetary policy shock
Equation number 209 : 0 : macroprudential policy shock
Equation number 210 : 0 : labor augmenting technology permanent shock
Equation number 211 : 0 : output gap as the difference btw output of sticky and flexible price
Equation number 212 : -8.8425e-08 : taylor rule monetary policy
Equation number 213 : 0.08 : macroprudential policy
Equation number 214 : 0 : anchoring variable n
Equation number 215 : 0 : real estate price gap
Equation number 216 : 0 : aggregate output measurement equation
Equation number 217 : 0 : aggregate consumption measurement equation
Equation number 218 : 0 : effective capital goods formation measurement equation
Equation number 219 : 0 : aggregate labor measurement equation
Equation number 220 : 0 : money supply measurement equation
Equation number 221 : 0 : capital demand by real estate developer measurement equation
Equation number 222 : 0 : Gross Inflation measurement equation
Equation number 223 : 0 : inverse of ralative capital price to general price level measurement equation
Equation number 224 : 0 : growth rate of inverse of ralative capital price to general price level measurement equation
Equation number 225 : 0 : inverse of ralative real estate price to general price level measurement equation
Equation number 226 : 0 : overall savings supply of society measurement equation
Equation number 227 : 0 : overall loan demand by society measurement equation
Equation number 228 : 0 : housing loan principal measurement equation
Equation number 229 : 0 : consumer loan principal measurement equation
Equation number 230 : 0 : business loan principal of entrepreneurs measurement equation
Equation number 231 : 0 : real estate development loan principal of real estate developer measurement equation
Equation number 232 : 0 : Nominal Net policy Interest rate measurement equation
Equation number 233 : 0 : Nominal Net Interest rate of deposit measurement equation
Equation number 234 : 0 : Nominal Net Interest rate of wholesale loan measurement equation
Equation number 235 : 0 : Nominal Net Interest rate of consumer loan measurement equation
Equation number 236 : 0 : trend gap of GDP measurement equation
Equation number 237 : 0 : trend gap of real estate price measurement equation


Error using print_info (line 32)
Impossible to find the steady state (the sum of square residuals of the static equations is 2.9674). Either the model doesn't
have a steady state, there are an infinity of steady states, or the guess values are too far from the solution

Error in steady (line 102)
    print_info(info,options_.noprint, options_);

Error in TR_Execute1_DSGE_model_integratedall.driver (line 2607)
steady;

Error in dynare (line 293)
evalin('base',[fname '.driver']) ;

Is there any other way to get rid of this kind of problem besides changing parameters or calibrating variables one by one? Any help and comments would be greatly appreciated.
Best regards.

For a model of that size, I can only recommend to compute the steady state analytically. As is, it’s looking for a needle in a haystack.

Thank you for your quick response,jpfeifer. :sob:

Hello, professor, are there any notes or lectures about DSGE steady-state analytical solution techniques? I often find that some articles preset the steady-state values of some variables, and I want to know which kind of variables can be preset in the calculation of steady-state.

Did you have a look at I need help about DSGE Calibration?