From lwoller@desk520.com Sun Sep 25 14:47:18 2022 From: Lucia Woller To: ag@asta.tu-dortmund.de Subject: [Ag] Fourier transform in finance Date: Sun, 25 Sep 2022 14:47:15 +0000 Message-ID: <166411723501.403.12447303011629631256@mailman-web> MIME-Version: 1.0 Content-Type: multipart/mixed; boundary="===============6872601372147513169==" --===============6872601372147513169== Content-Type: text/plain; charset="utf-8" Content-Transfer-Encoding: quoted-printable In mathematics, the Fourier transform is= a tool used to decompose a function into its constituent frequencies. This d= ecomposition is particularly useful in the field of financial analysis, where= it can be used to reveal cyclical patterns in data sets. For example, if a s= tock market index is plotted over time, the Fourier transform can be used to = isolate the individual cycles (such as monthly, quarterly, or yearly variatio= ns) and study them separately. This information can then be used to make info= rmed investment decisions. In addition to its utility in financial analysis, the Fourier tra= nsform also has applications in signal processing, image compression, and man= y other fields. As such, it is a powerful tool that is well worth learning fo= r anyone interested in mathematics or data analysis. --===============6872601372147513169==--