金融数学入門:貯蓄と投資<br>An Introduction to the Mathematics of Money : Saving and Investing (Texts in Applied Mathematics Vol.1000)

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金融数学入門:貯蓄と投資
An Introduction to the Mathematics of Money : Saving and Investing (Texts in Applied Mathematics Vol.1000)

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  • 製本 Hardcover:ハードカバー版/ページ数 280 p.
  • 商品コード 9780387344324

基本説明

Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented.

Full Description

Introduction Some people distinguish between savings and investments, where savings are monies placed in relatively risk-free accounts with modest rewards, and where investments involve more risk and the potential for greater rewards. In this book we do not distinguish between these ideas. We treat them both under the umbrella of investing. In general, income falls into two categories: earned income—which is the income derived from your everyday job—andunearnedincome—which is income derived from investing. You attend college to strengthen your prospects for earned income, so why do you need to worry about unearned income, namely, investment income? There are many reasons to invest and to learn about investing. Perhaps the primary one is to take charge of your own ?nancial future. You need money for short-term goals (such as living expenses, emergencies) and for long-term goals (such as buying a car, buying a house, educating children, paying catastrophic medical bills, funding retirement). Investing involvesborrowingandlending,andbuyingandselling. • borrowing and lending. When you put money into a bank savings account,youarelendingyourmoneyandthebankisborrowingit.Youcan lend money to a bank, a business, a government, or a person. In exchange forthis,theborrowerpromisestopayyouinterestandtoreturnyourinitial investment at a future date. Why would the borrower do this? Because the borrower anticipates using this money in a way that earns more than the interest promised to you. Examples of borrowing and lending are savings accounts, certi?cates of deposits, money-market accounts, and bonds.

Contents

Simple Interest.- Compound Interest.- Infiation and Taxes.- Annuities.- Loans and Risks.- Amortization.- Credit Cards.- Bonds.- Stocks and Stock Markets.- Stock Market Indexes, Pricing, and Risk.- Options.

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