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An Introduction to the Mathematics of Money
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This book is an introduction to the mathematics of finance. Part I focuses on analysis of deterministic cash flows, such as those generated by riskless bonds and annuities. Part II focuses on the analysis of risky securities, such as stocks and options. This book is suitable for undergraduates in mathematics, economics and business programmes. It contains examples and exercises throughout. This book uses investing as a vehicle to introduce ideas, techniques and applications that might not be encountered other mathematics courses. These include proofs by induction, recurrence relations, inequalities (in particular, the Arithmetic-Geometric Mean inequality and the Cauchy-Schwarz inequality), and the elements of probability and statistics. The book introduces the reader to the elements of investing that are of life-long practical use. This book targets students at the sophomore/junior level, without assuming a background or any experience in investing.
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