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FINA 365 Lectures #9-18 from powerpoints Notes;TOP SCOTE/.,BEST SOLUTION

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Lecture Organization  Present Value and Discounting  Perpetuity Time Value Terminology  “Time value of money" and "the money value of time"  A dollar today is worth more than a doll... ar later“ WHY...? …Every dollar generates interest every year and every period Future and Present Value Terminology  PV is the Present Value, that is, the value today.  FV is the Future Value, that is, the value at a future date.  Denotation:  The number of years between the Present Value and the Future Value is represented by “t ”.  The rate of interest is represented by “r ”. In general, the Future Value, FVt, of $X invested today (PV) at r% for t periods is FVt= $X x (1 + r) t The expression (1 + r) 2 is the Future Value Interest Factor or Compounding Factor Quick Quiz Q: Deposit $5,000 today in an account paying 12%. How much will you have in 6 years if the interest is compound? A: Multiply the $5,000 by the (FVIF) Future Value Interest Factor = $5000 x (1 + r) t = $5000 x (1 + 0.12) 6 = $9,869.11 Present Value Formula  The PV of $X to be received in t periods when the discount rate is r is PV = $X/(1+r) t  The relationship between PV and FV [Show More]

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