Fast Hodrick Prescott Filter

Detrending a time series.

The Hodrick Prescott Filter (HP-Filter) is the most popular method to separate a time series x_t into its components. Let's suppose that the original series is composed of a trend component g_t and a cyclical component c_t.
Solving the minimization problem is quite simple. This program decomposes a times series by the Hodrick Prescott Filter. To accelerate the computation the Add-In makes use of the penta-diagonal structure of the coefficient-matrix. So detrending a lot of data points is not a problem for this program.