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Films · Mathematics · Financial mathematics, part 3

Prof. Dr. Dirk Schieborn

Higher Mathematics 1 · Reutlingen University

Lecture film · Higher Mathematics 1 · Financial Mathematics, Part 3

A Bond, a Zip Fastener, Grandma’s Money: the Savings Formula

Lecture film · Higher Mathematics 1 · Financial Mathematics, Part 3

A Bond, a Zip Fastener, Grandma’s Money: the Savings Formula

Prof. Dr. Dirk Schieborn

Higher Mathematics 1 · Reutlingen University

A zero bond costs the discounted amount today. The effective annual rate makes offers comparable. The geometric series collapses like a zip fastener into a small fraction, and with it Grandma’s many deposits become the savings formula: in advance with q, in arrears with one q fewer.

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More films: Signature · Prof. Dr. Dirk Schieborn

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Chapter 1 · A slip of paper for 226 euros

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A Bond, a Zip Fastener, Grandma’s Money: the Savings Formula

Prof. Dr. Dirk SchiebornHigher Mathematics 1 · Reutlingen University
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NewNov 10, 2026 · 7 chapters

An explainer film in seven chapters, made from a real lecture: a zero bond that costs 226 euros today and pays a thousand in ten years, two banks at five percent each and the effective annual rate, the geometric series collapsing like a zip fastener into a small fraction, Grandma's deposits as pieces of dough in the oven, the savings formula in advance and, with one q fewer, in arrears, and the home savings contract. Pause anywhere and ask.

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