Time Value of Money - 5284 Words

12/9/2012 Chapter 9 The Time Value of Money 1 Chapter 9- Learning Objectives ïÆ' ¼ Identify various types of cash flow patterns (streams) that are observed in business. ïÆ' ¼ Compute (a) the future values and (b) the present values of different cash flow streams, and explain the results. ïÆ' ¼ Compute (a) the return (interest rate) on an investment (loan) and (b) how long it takes to reach a financial goal. ïÆ' ¼ Explain the difference between the Annual Percentage Rate (APR) and the Effective Annual Rate (EAR), and explain when each is more appropriate to use. ïÆ' ¼ Describe an amortized loan, and compute (a) amortized loan payments and (b) the balance (amount owed) on an amortized loan at a specific point during its life. Principles of Finance†¦show more content†¦After 3 years: FV3 = PV(1 + r)3 = $700 (1.10)3 = $931.70 After 2 years: FV2 = PV(1 + r)2 = $700 (1.10)2 = $847.00. In general, FVn = PV (1 + r)n Principles of Finance 5e, 9 The Time Value of Money  © 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 9 Three Ways to Solve Time Value of Money Problems ïÆ' ¼Use Equations ïÆ' ¼Use Financial Calculator ïÆ' ¼Use Electronic Spreadsheet Principles of Finance 5e, 9 The Time Value of Money  © 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 10 5 12/9/2012 Numerical (Equation) Solution FVn = PV(1+ r)n PV = $700, r = 10%, and n =3 FVn = $700(1.10)3 = $700(1.3310) = $931.70 Principles of Finance 5e, 9 The Time Value of Money  © 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 11 Financial Calculator Solution FVn = PV(1+ r)n There are 4 variables. If 3 are known, the calculator will solve for the 4th. Principles of Finance 5e, 9 The Time Value of Money  © 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole orShow MoreRelatedTime Value of Money1028 Words   |  5 Pagestoward understanding the relationship between the value of dollars today and that of dollars in the future is by looking at how funds invested will grow over time. This understanding will allow one to answer such questions as; how much should be invested today to produce a specified future sum of money? Time Value of Money In most cases, borrowing money is not free, unless it is a fiver for lunch from a friend. Interest is the cost of borrowing money. An interest rate is the cost stated as a percentRead MoreTime Value of Money1033 Words   |  5 PagesTime Value of Money (TVM), developed by Leonardo Fibonacci in 1202, is an important concept in financial management. It can be used to compare investment alternatives and to solve problems involving loans, mortgages, leases, savings, and annuities. TVM is based on the concept that a dollar today is worth more than a dollar in the future. That is mainly because money held today can be invested and earn interest. A key concept of TVM is that a single sum of money or a series of equal,Read MoreTime Value of Money967 Words   |  4 PagesTime Value of Money The time value of money relates to many activities and decision in the financial world. â€Å"Understanding the effective rate on a business loan, the mortgage payment in a real estate transaction, or the true return on an investment depends on understanding the time value of money† (Block, Hirt, 2005). The concept of time value of money helps determine how financial assets are valued and how investors establish the rates of return they demand. Many different types of companiesRead MoreTime Value of Money2180 Words   |  9 PagesFinance Ââ€" Time Value of Money We earn money to spend it and we save money to spend it in the future. However, for most people spending money in the present time is more desirable since the future is unknown. We can gratify the desire to spend money today rather than in the future by knowing the basic law in finance Ââ€" time value of money. This means that a dollar today is worth more than a dollar at some time in the future. Unfortunately, people very often want to buy things at the present time whichRead MoreTime Value of Money3904 Words   |  16 PagesTime Value of Money Problems 1. What will a deposit of $4,500 at 10% compounded semiannually be worth if left in the bank for six years? a. $8,020.22 b. $7,959.55 c. $8,081.55 d. $8,181.55 2. What will a deposit of $4,500 at 7% annual interest be worth if left in the bank for nine years? a. $8,273.25 b. $8,385.78 c. $8,279.23 d. $7,723.25 3. 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