**Matlab Toolbox for First-Order Accurate Approximations to the Policy Function** by Stephanie
Schmitt-Grohe and Martin
Uribe

Perturbation Methods for the Numerical Analysis
of DSGE Models: Lecture Notes

**First-order approximation**

gx_hx.m

**Obtaining the derivatives of f**

(requires Matlab's Symbolic Math Toolbox)

anal_deriv.m

num_eval.m

**Writing the Output of anal_deriv.m to an M-file:** This program saves significant amount of computational time in applications in which the output of anal_deriv.m has to be evaluated repeatedly.

first_order_print2f.m The following script achieves the same outcome by a different approach:
anal_deriv_print2f.m by Andrea Pescatori

**Computing Impulse Responses:** ir.m

**Computing Unconditional Second Moments:** mom.m

**Computing Variance Decompositions:** variance_decomposition.m

**Computing Forecast-error Variances:** fev.m

**Computing Forecast-error Variance Decompositions:** fevd.m

**Model Simulation:**
simu_1st.m

**Link to Second-Order Approximation Code**
2nd_order