Problem with ST SIM

Stochastic simulations
1

Hello everyone. I have the following model:

var
    y
    c
    i
    x
    r
    w
    n
    a
    z
    dz
;

varexo
    eps_a
;


parameters
    alpha
    teta
    gamma
    sigma
    varphi
    gammai
    rhoa
;

    alpha   =   0.4;
    gamma   =   0.4;
    teta    =   1.2;
    sigma   =   2;
    varphi  =   4;
    gammai  =   0.2;
    rhoa    =   0.85;

model (linear) ;
    
    #gammax =   alpha^2 ;
    #gammac =   1 - gammai - gammax ;

    y   =   gammac*c + gammai*i + gammax*x ;

    w   =   y - n ;

    w   =   sigma*c + varphi*n ;

    c   =   c(+1) - (1/sigma)*r ;
    
    z   =   z(-1) + dz ;

    dz  =   gamma*i ;

    y   =   a + z(-1) + (1-alpha)*n + alpha*x ;

    x   =   n + (1/(1-alpha))*a ;

    r   =   sigma*(c(+1) - c) ;

    a   =   rhoa*a(-1) + eps_a ;

end;

steady;
check;

shocks ;
    var eps_a ; stderr 1;
end;

stoch_simul(irf=80);

and I got the following error:

Error using print_info
The generalized Schur (QZ) decomposition failed. For more information, see the documentation for Lapack function dgges: info=30, n=3. You can also run model_diagnostics to get more information on what may cause this problem.

Can you help me to solve the issue?

2

You have

    c   =   c(+1) - (1/sigma)*r ;
    r   =   sigma*(c(+1) - c) ;

These two equations are identical.

3

So I have another question: in a RBC model without stock of capital, how can I find the real interest rate?

4

If there is no intertemporal asset, there is no interest rate.

6

Thank you very much!