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Time value of money

Money that the firm has today is more
valuable than money in future because
 the money it now has can be invested
       and earn positive return
Future value
• The value at a given future date of a present
  amount placed on deposit today and earning
  interest at a specified rate. Found by applying
  compound interest over a specified period of
  time
Future value(cont…)
• Compound interest
interest that is earned on a given deposit and has
become part of the principle at the end of a
specified period
• Principle
The amount of money on which interest is paid
• Future value interest factor: the multiplier used
  to calculate, at a specified interest rate, the
  future value of a present amount as of a given
  time
Present value
• The current value of a future amount
• Discounting cash flow: the process of finding
  present values; the inverse of compounding
  interest
• Present value interest factor: the multiplier
  used to calculate, at a specified discount rate,
  the present value of an amount to be received
  in a future date
• Annuity: a stream of equal periodic cash flows
• Ordinary annuity: cash flow occurs at the end
  of each period
• Annuity due: cash flow occurs at the
  beginning of each period
• Mixed stream: a stream of unequal periodic
  cash flows that reflect no particular pattern
• Perpetuity: an annuity with an infinite life,
  providing continual cash flow
Compounding of interest
• Semiannual compounding
• Quarterly compounding
• Continuous compounding
Nominal and effective annual rates of
             interest
• Nominal (stated) annual rate
• Effective (true) annual rate

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M.finance

  • 1. Time value of money Money that the firm has today is more valuable than money in future because the money it now has can be invested and earn positive return
  • 2. Future value • The value at a given future date of a present amount placed on deposit today and earning interest at a specified rate. Found by applying compound interest over a specified period of time
  • 3. Future value(cont…) • Compound interest interest that is earned on a given deposit and has become part of the principle at the end of a specified period • Principle The amount of money on which interest is paid • Future value interest factor: the multiplier used to calculate, at a specified interest rate, the future value of a present amount as of a given time
  • 4. Present value • The current value of a future amount • Discounting cash flow: the process of finding present values; the inverse of compounding interest • Present value interest factor: the multiplier used to calculate, at a specified discount rate, the present value of an amount to be received in a future date
  • 5. • Annuity: a stream of equal periodic cash flows • Ordinary annuity: cash flow occurs at the end of each period • Annuity due: cash flow occurs at the beginning of each period • Mixed stream: a stream of unequal periodic cash flows that reflect no particular pattern • Perpetuity: an annuity with an infinite life, providing continual cash flow
  • 6. Compounding of interest • Semiannual compounding • Quarterly compounding • Continuous compounding
  • 7. Nominal and effective annual rates of interest • Nominal (stated) annual rate • Effective (true) annual rate