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Unformatted text preview: 1 Time Value of Time Value of Money Money 2 After studying this chapter, After studying this chapter, you should be able to: you should be able to: 1. Understand what is meant by "the time value of money." 2. Understand the relationship between present and future value. 3. Describe how the interest rate can be used to adjust the value of cash flows both forward and backward to a single point in time. 4. Calculate both the future and present value of: (a) an amount invested today; (b) a stream of equal cash flows (an annuity); and (c) a stream of mixed cash flows. 5. Distinguish between an ordinary annuity and an annuity due. 6. Use interest factor tables and understand how they provide a shortcut to calculating present and future values. 7. Use interest factor tables to find an unknown interest rate or growth rate when the number of time periods and future and present values are known. 8. Build an amortization schedule for an installmentstyle loan. 3 The Time Value of Money The Time Value of Money The Interest Rate Simple Interest Compound Interest Amortizing a Loan Compounding More Than Once per Year 4 Obviously, $10,000 today $10,000 today . You already recognize that there is TIME VALUE TO MONEY TIME VALUE TO MONEY !! The Interest Rate The Interest Rate Which would you prefer  $10,000 $10,000 today today or $10,000 in 5 years $10,000 in 5 years ? 5 TIME TIME allows you the opportunity to postpone consumption and earn INTEREST INTEREST . Why TIME? Why TIME? Why is TIME TIME such an important element in your decision? 6 Types of Interest Types of Interest Compound Interest Compound Interest Interest paid (earned) on any previous interest earned, as well as on the principal borrowed (lent). Simple Interest Simple Interest Interest paid (earned) on only the original amount, or principal, borrowed (lent). 7 Simple Interest Formula Simple Interest Formula Formula Formula SI = P ( i )( n ) 8 SI = P ( i )( n ) Simple Interest Example Simple Interest Example Assume that you deposit $1,000 in an account earning 7% simple interest for 2 years. What is the accumulated interest at the end of the 2nd year? 9 FV FV = P + SI Simple Interest (FV) Simple Interest (FV) What is the Future Value Future Value ( FV FV ) of the deposit? 10 The Present Value is simply the $1,000 you originally deposited. That is the value today! Present Value Present Value is the current value of a future amount of money, or a series of payments, evaluated at a given interest rate. Simple Interest (PV) Simple Interest (PV) What is the Present Value Present Value ( PV PV ) of the previous problem? 11 5000 10000 15000 20000 1st Year 10th Year 20th Year 30th Year Future Value of a Single $1,000 Deposit 10% Simple Interest 7% Compound Interest 10% Compound Interest Why Compound Interest?...
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This note was uploaded on 11/08/2010 for the course MECH 414 taught by Professor Biancardi during the Fall '10 term at Manhattan College.
 Fall '10
 Biancardi

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