Premium Essay

Ch O4

In: Business and Management

Submitted By lovefist4118
Words 2748
Pages 11
Chapter 4
Time Value of Money

Solutions to Problems
P4-1. LG 1: Using a Time Line Basic (a), (b), and (c)
Compounding Future

Value

–$25,000 $3,000 $6,000 $6,000 $10,000 $8,000 $7,000 |—————|—————|——————|——————|—————|——————|—> 0 1 2 3 4 5 6
End of Year

Present Value

Discounting

(d) Financial managers rely more on present than future value because they typically make decisions before the start of a project, at time zero, as does the present value calculation.

74

Part 2

Important Financial Concepts

P4-2.

LG 2: Future Value Calculation: FVn = PV × (1 + i)n Basic Case A B C D FVIF12%,2 periods FVIF6%,3 periods FVIF9%,2 periods FVIF3%,4 periods = (1 + 0.12)2 = 1.254 = (1 + 0.06)3 = 1.191 = (1 + 0.09)2 = 1.188 = (1 + 0.03)4 = 1.126

P4-3.

LG 2: Future Value Tables: FVn = PV × (1 + i)n Basic Case A (a) 2 = 1 × (1 + 0.07)n 2/1 = (1.07)n 2 = FVIF7%,n 10 years< n < 11 years Nearest to 10 years Case B (a) 2 = 1 × (1 + 0.40)n 2 = FVIF40%,n 2 years < n < 3 years Nearest to 2 years Case C (a) 2 = 1 × (1 + 0.20)n 2 = FVIF20%,n 3 years < n < 4 years Nearest to 4 years Case D (a) 2 = 1 × (1 + 0.10)n 2 = FVIF10%,n 7 years < n < 8 years Nearest to 7 years (b) 4 = 1 × (1 + 0.07)n 4/1 = (1.07)n 4 = FVIF7%,n 20 years < n < 21 years Nearest to 20 years (b) 4 = (1 + 0.40)n 4 = FVIF40%,n 4 years < n < 5 years Nearest to 4 years (b) 4 = (1 + 0.20)n 4 = FVIF20%,n 7 years < n < 8 years Nearest to 8 years (b) 4 = (1 + 0.10)n 4 = FVIF40%,n 14 years < n 0 1 2 3 4 9 10 End of Year

88

Part 2

Important Financial Concepts

(b) Cash Flow Stream A Year 1 2 3–9 10 CF $30,000 25,000 15,000 10,000 × × × × × PVIF12%,n 0.893 0.797 3.639
*

= = = = =

Present Value $26,790 19,925 54,585 3,220 $104,520 $104,508.28

0.322 Calculator solution

*

The PVIF for this 7-year annuity is obtained by summing together the PVIFs of 12% for periods 3

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Data Mining with R

...Data Mining with R: learning by case studies Luis Torgo LIACC-FEP, University of Porto R. Campo Alegre, 823 - 4150 Porto, Portugal email: ltorgo@liacc.up.pt http://www.liacc.up.pt/∼ltorgo May 22, 2003 Preface The main goal of this book is to introduce the reader to the use of R as a tool for performing data mining. R is a freely downloadable1 language and environment for statistical computing and graphics. Its capabilities and the large set of available packages make this tool an excellent alternative to the existing (and expensive!) data mining tools. One of the key issues in data mining is size. A typical data mining problem involves a large database from where one seeks to extract useful knowledge. In this book we will use MySQL as the core database management system. MySQL is also freely available2 for several computer platforms. This means that you will be able to perform “serious” data mining without having to pay any money at all. Moreover, we hope to show you that this comes with no compromise in the quality of the obtained solutions. Expensive tools do not necessarily mean better tools! R together with MySQL form a pair very hard to beat as long as you are willing to spend some time learning how to use them. We think that it is worthwhile, and we hope that you are convinced as well at the end of reading this book. The goal of this book is not to describe all facets of data mining processes. Many books exist that cover this area. Instead we propose to introduce...

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