The Mathematics of Money

Author(s): Timothy Biehler

Edition: 4

Copyright: 2023

Pages: 499

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Ebook

$57.60

ISBN 9798385143610

Details Electronic Delivery EBOOK 180 days

"The goal of this book is to develop the mathematical skills and confidence to understand and make good decisions about financial matters. It seeks to equip you with some of the most important tools you need to figure things out for yourself. You still have to do that figuring out, though, based on your own individual circumstances, goals and values. Nothing in this book can make those decisions for you, but hopefully this book can make making those decisions clearer and easier.

This text is intended for use in college-level business and financial mathematics courses. It covers general financial principles and the mathematical tools needed to understand and make use of those principles. It does not assume that students have any particular level of math experience, other than the ability to do basic arithmetic calculations with the aid of a calculator.

The author, Timothy J. Biehler, is a professor of mathematics at Finger Lakes Community College."

Chapter 1 The Basics: Concepts and Tools 
Chapter 1.1 Working with Percents 
Chapter 1.2 Gains, Losses, and Algebra
Chapter 1.3 Formulas and Simple Interest
Chapter 1.4 Models and Simple Discount
Chapter 1.5 Spreadsheets
Chapter 1.6 Notes and Bonds 

Chapter 2 Compound Growth 
Chapter 2.1 Compound Interest
Chapter 2.2 Compounding Frequencies
Chapter 2.3 Effective Rates
Chapter 2.4 The Rule of 72
Chapter 2.5 Finding Compound Growth Rates and Times

Chapter 3 Series of Payments
Chapter 3.1 Annuities and their Future Values
Chapter 3.2 The Future Value Formula for Annuities
Chapter 3.3 Present Values of Annuities
Chapter 3.4 Amortization Tables
Chapter 3.5 Tackling Annuity Questions 

Chapter 4 Present and Future Values in General
Chapter 4.1 Future Values with Varying Payments
Chapter 4.2 Inflation
Chapter 4.3 Present Values with Varying Payments 

Chapter 5 The Math of Investments
Chapter 5.1 Fixed Income (Bond) Investments
Chapter 5.2 Business Ownership: Direct Investment
Chapter 5.3 Business Ownership: Equities (Stocks)
Chapter 5.4 Real Estate 
Chapter 5.5 Alternative Investments
Chapter 5.6 Investment Portfolios

Chapter 6 Risk and Uncertainty
Chapter 6.1 Probability and the Law of Large Numbers 
Chapter 6.2 Investment Risk and Volatility
Chapter 6.3 Life Insurance and Annuities
Chapter 6.4 Casualty, Health, and Disability Insurance

Chapter 7 Taxation 
Chapter 7.1 Ad Valorem Taxes
Chapter 7.2 Income and Payroll Taxes

Chapter 8 Personal Finance Topics
Chapter 8.1 Credit Cards
Chapter 8.2 Mortgages
Chapter 8.3 Leasing

Answers to Odd-Numbered Problems

Timothy Biehler

Tim Biehler is Professor of Mathematics at Finger Lakes Community College in Canandaigua, New York.  He holds undergraduate degrees in mathematics and philosophy from the University at Buffalo, from which he also holds a masters in mathematics.  He has been teaching full time at FLCC for more than 25 years now, and is a recipient of the State University of New York Chancellor's Award for Excellence in Teaching.  Previously he worked in insurance and finance, developing life insurance modeling programs and managing actuarial operations for a regional health insurer.

"The goal of this book is to develop the mathematical skills and confidence to understand and make good decisions about financial matters. It seeks to equip you with some of the most important tools you need to figure things out for yourself. You still have to do that figuring out, though, based on your own individual circumstances, goals and values. Nothing in this book can make those decisions for you, but hopefully this book can make making those decisions clearer and easier.

This text is intended for use in college-level business and financial mathematics courses. It covers general financial principles and the mathematical tools needed to understand and make use of those principles. It does not assume that students have any particular level of math experience, other than the ability to do basic arithmetic calculations with the aid of a calculator.

The author, Timothy J. Biehler, is a professor of mathematics at Finger Lakes Community College."

Chapter 1 The Basics: Concepts and Tools 
Chapter 1.1 Working with Percents 
Chapter 1.2 Gains, Losses, and Algebra
Chapter 1.3 Formulas and Simple Interest
Chapter 1.4 Models and Simple Discount
Chapter 1.5 Spreadsheets
Chapter 1.6 Notes and Bonds 

Chapter 2 Compound Growth 
Chapter 2.1 Compound Interest
Chapter 2.2 Compounding Frequencies
Chapter 2.3 Effective Rates
Chapter 2.4 The Rule of 72
Chapter 2.5 Finding Compound Growth Rates and Times

Chapter 3 Series of Payments
Chapter 3.1 Annuities and their Future Values
Chapter 3.2 The Future Value Formula for Annuities
Chapter 3.3 Present Values of Annuities
Chapter 3.4 Amortization Tables
Chapter 3.5 Tackling Annuity Questions 

Chapter 4 Present and Future Values in General
Chapter 4.1 Future Values with Varying Payments
Chapter 4.2 Inflation
Chapter 4.3 Present Values with Varying Payments 

Chapter 5 The Math of Investments
Chapter 5.1 Fixed Income (Bond) Investments
Chapter 5.2 Business Ownership: Direct Investment
Chapter 5.3 Business Ownership: Equities (Stocks)
Chapter 5.4 Real Estate 
Chapter 5.5 Alternative Investments
Chapter 5.6 Investment Portfolios

Chapter 6 Risk and Uncertainty
Chapter 6.1 Probability and the Law of Large Numbers 
Chapter 6.2 Investment Risk and Volatility
Chapter 6.3 Life Insurance and Annuities
Chapter 6.4 Casualty, Health, and Disability Insurance

Chapter 7 Taxation 
Chapter 7.1 Ad Valorem Taxes
Chapter 7.2 Income and Payroll Taxes

Chapter 8 Personal Finance Topics
Chapter 8.1 Credit Cards
Chapter 8.2 Mortgages
Chapter 8.3 Leasing

Answers to Odd-Numbered Problems

Timothy Biehler

Tim Biehler is Professor of Mathematics at Finger Lakes Community College in Canandaigua, New York.  He holds undergraduate degrees in mathematics and philosophy from the University at Buffalo, from which he also holds a masters in mathematics.  He has been teaching full time at FLCC for more than 25 years now, and is a recipient of the State University of New York Chancellor's Award for Excellence in Teaching.  Previously he worked in insurance and finance, developing life insurance modeling programs and managing actuarial operations for a regional health insurer.