What kind of papers do economics and finance students write?
Economical Writing is one standard reference for economists. An economics paper usually has a lit review, an economic model, analysis of what this model predicts, and how the data supports this model. A great outline is provided by the Toilet Seat Equilibrium paper.

Your students might want to look at the Research Papers in Economics archive, pick some papers there, and critique them from the intensive writing perspective. This collection has both published and unpublished versions, so with some luck they might be able to trace as the paper is getting into a more publishable state as it moves between versions and revisions.