A Spiral Approach to Financial Mathematics

Table of Contents

Unit 1 Introduction to Financial Mathematics 1. Savings: Fundamentals of Interest 2. Loans: Fundamentals of Borrowing and Lending 3. Annuities: Fundamentals of Regular Payments 4. Stocks and Bonds: Fundamentals of Investment Strategies 5. Portfolios: Fundamentals of Collections of Assets and Liabilities

Unit 2 Revisiting Topics in Financial Mathematics 6. Savings Revisited 7. Loans Revisited 8. Annuities Revisited 9. Bonds Revisited 10. Portfolios Revisited

Authors

Nathan Tintle Department of Mathematics and Statistics, Dordt College, Sioux Center, IA, USA. Nathan Tintle has authored other textbooks in statistics, as well as having published a wide variety of journal publications in biostatistics, genetic epidemiology, psychology, and statistics education. He initiated new programs at Actuarial Science at two institutions and has been teaching financial mathematics for over 12 years. Among other honors, he was the 2013 winner of the Waller Statistics Education Award and the 2017 winner of the Robert Hogg award for Excellence in Teaching Introductory Statistics. His first book, with co-author Todd Swanson, "Introduction to Statistical Investigations,” won the award for the 2017 Most Promising New Textbook of year from the Textbook and Academic Authors Association. Nathan Schelhaas Principal Financial Group, Des Moines, IA, USA. Nate Schelhaas is a Fellow of the Society of Actuaries and Member of the American Academy of Actuaries who works for Principal Financial Group in Des Moines, IA. In his 20+ year career, Nate has held various positions with Principal. He currently serves as the chief actuary for the individual life operations. From 2009 - 2011 Nate oversaw the actuarial training program at Principal where he was responsible for helping actuarial students navigate the exam system and their careers. Todd Swanson Hope College, Holland, Michigan, USA. Todd Swanson is a member of the mathematics department at Hope College in Holland, Michigan, where he's been teaching since 1989. He predominantly teaches introductory courses in mathematics and statistics, and has coauthored six textbooks. Prof. Swanson has presented at numerous national meetings, workshops and mini-courses on innovative ways to teach mathematics and statistics that focus on guided-discovery methods and projects. He has received awards for teaching, writing, and mentoring students and his work has been funded by the National Science Foundation, the Great Lakes College Association, the Howard Hughes Medical Institute, the Teagle Foundation, and Hope College.