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function [trend_addition, trend_coeff]=compute_trend_coefficients(M_,DynareOptions,nvarobs,ntobs)
% [trend_addition, trend_coeff]=compute_trend_coefficients(DynareOptions,nvarobs,ntobs)
% Computes the trend coefficiencts and the trend, accounting for
% prefiltering
%
% INPUTS
% M_ [structure] describing the model; called in the eval
% statement
% DynareOptions [structure] describing the options
% nvarobs [scalar] number of observed variables
% ntobs [scalar] length of data sample for estimation
%
% OUTPUTS
% trend_addition [nvarobs by ntobs double] matrix storing deterministic
% trend component
% trend_coeff [nvarobs by 1] vector storing trend slope
%
% SPECIAL REQUIREMENTS
% none
% Copyright (C) 2014-2016 Dynare Team
%
% This file is part of Dynare.
%
% Dynare is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% Dynare is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
trend_coeff = zeros(nvarobs,1);
t = DynareOptions.trend_coeffs;
for i=1:length(t)
if ~isempty(t{i})
trend_coeff(i) = eval(t{i});
end
end
trend_addition=trend_coeff*[DynareOptions.first_obs:DynareOptions.first_obs+ntobs-1];
if DynareOptions.prefilter
trend_addition = bsxfun(@minus,trend_addition,mean(trend_addition,2));
end
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