Question on calibration of discount factor

  1. Usually, the literature will guide you on realistic values. But before doing that, you should think hard about whether a model approximated in the neighborhood of a balanced growth path is the right model for your economy. It seems you are rather far away from the steady state.
  2. Again, you are confusing the data mean and the steady state. Take the Solow or Ramsey model starting with a capital intensity below steady state. In this case, the average growth rate will be higher than the steady state growth rate due to capital accumulation. See also
  1. That growth adjustment is necessary when you not have log utility. See