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time value of money
better to receive money sooner than later so you can invest and make a positive rate of return
compounding
find future value of cash flow at end of investments life
discounting
find present value at beginning of investment
single amount
lump sum currently held or expected in the future
annuity
equal periodic stream of cash flows over a time period
mixed stream
unequal periodic cash flows with no pattern
higher interest rate=
higher future value
longer investment time =
higher FV
simple interest
earned on an investments original principle, not on accumulated interest
higher discount rate =
lower present value
longer the waiting period =
lower PV
ordinary annuity
cash flow occurs at the end of period
annuity due
cash flow occurs at beginning of period
FV and PV will be greater than ordinary annuity
Perpetuity
annuity with infinite life, no FV is specified
in a mixed stream, there is no way to express
PV or FV
nominal annual rate
contract for rate of interest that is charged by lender and promised by borrower
effective annual rate
rate that is actually paid or earned
Applications of time value
determine deposits or payments needed to accumulate
loan amortization
find interest rate
find number of periods (N)