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Book/Article Detail


 
Reading Title:
Reading Author(s):
 
 
Book Title:
Book Author(s):
Chapter:
1
Page Range:
Total Pages:
14
 
 
Publisher:
Publication Year:
2006
Language:
English
 
 
 
 
FRM Paid Candidate Price:         US$5.00
Reading Price:
GARP Member (Non-Affiliate):   US$5.00
 
Affiliate & Non-Member:             US$6.00
 
* Order print copy for an additional US$2.00 + shipping & handling (select at checkout)
 
 
 
 
Quantitative Level:
Basic
 
 
Keywords:
 
 
Topics Covered:
Market risk, fixed income fundamentals, interest, interest rate, compound interest, effective interest rate, continuously compounded interest, present value, future value, rate of return
 
 
Reading Abstract:
***Excerpt from book*** One of the first types of investments that people learn about is some variation on the savings account. In exchange for the temporary use of an investor’s money, a bank or other financial institution agrees to pay interest, a percentage of the amount invested, to the investor. There are many different schemes for paying interest. In this chapter we will describe some of the most common types of interest and contrast their differences. Along the way the reader will have the opportunity to renew their acquaintanceship with exponential functions and the geometric series. Since an amount of capital can be invested and earn interest and thus numerically increase in value in the future, the concept of present value will be introduced. Present value provides a way of comparing values of investments made at different times in the past, present, and future. As an application of present value, several examples of saving for retirement and calculation of mortgages will be presented. Sometimes investments pay the investor varying amounts of money which change over time. The concept of rate of return can be used to convert these payments in effective interest rates, making comparison of investments easier.
 
 
Reading Contents:
1.1 Simple Interest
1.2 Compound Interest
1.3 Continuously Compounded Interest
1.4 Present Value
1.5 Rate of Return
1.6 Exercises
 
 
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Book Review:
This textbook provides an introduction to financial mathematics and financial engineering for undergraduate students who have completed a three or four semester sequence of calculus courses. It introduces the theory of interest, random variables and probability, stochastic processes, arbitrage, option pricing, hedging, and portfolio optimization. The student progresses from knowing only elementary calculus to understanding the derivation and solution of the Black–Scholes partial differential equation and its solutions. This is one of the few books on the subject of financial mathematics which is accessible to undergraduates having only a thorough grounding in elementary calculus. It explains the subject matter without “hand waving” arguments and includes numerous examples. Every chapter concludes with a set of exercises which test the chapter’s concepts and fill in details of derivations.
 



 
   
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