Cash Flow With PP<CP

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Presentation transcript:

Cash Flow With PP<CP When PP<CP, no interperiod compounding is assumed. Therefore, withdrawals are moved to beginning of interest period in which they occur and deposits to end. [ This condition (i.e. PP<CP) is the only time the actual cash flow diagram is changed] Example: A person deposits $100 per month into a savings account for 2 years. If $75 is withdrawn in months 5,7 and 8 (in addition to the deposits), how much will be in the account after 2 years at i = 6% per year, comp’d quarterly. Solution: Since PP<CP, the cash flow diagram must be changed as follows: 0 1 2 3 4 5 6 7 8 9 10 23 24 100 75 from F = ? this 0 1 2 3 4 5 6 7 8 9 10 21 24 300 months quarters 1 2 3 7 8 75 150 F = ? to this F = 300(F/A,1.5%,8) – 75(F/P,1.5%,7) - 150 (F/P,1.5%,6) = $2,283