Solution To Exchanges 10.2 Puzzle: Borrowing In The Limit As Our Nerdiness Goes To Infinity

This is a solution to the editor's puzzle from issue 10.2 of SlGecom Exchanges [Reeves 2011]. The Puzzle asks to determine a point in time such that a lump sum payment of $S will be equivalent to a continuous stream of infinitesimal payments totaling $S, spread evenly over time.