name:  Simple Real Business Cycle Model

symbols:
   #log_variables: [Y,C]
   variables: [K,r,A,Y,C]
   shocks: [ea]
   parameters: [beta,delta,gamma,rho,a]

equations:
    - 1/C = 1/C(1) * beta * (1 + r)           
    #- K = Y - C + (1-delta) * K(-1)           
    - Y = C + K - (1-delta) * K(-1)
    - Y = K(-1)^gamma * A^(1-gamma)
    - gamma*Y(1)/K = r + delta
    - log(A) = rho*log(A(-1)) + (1-rho)*log(a) + ea

calibration:
      # parameters
      beta : 0.99
      gamma : 0.50
      delta : 0.03
      rho : 0.80
      a : 0.1
      # initial values
      C : 0.78046
      K : 15.5546
      Y : 1.25
      r : 0.0101
      A : a  
      ea : 0      
      std : 0.1
    
options:
    T : 201    
    periods: [1]
    shock_values: [[std]]