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| 2 |
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| 3 |
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PVA |
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| 4 |
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| 5 |
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Category: |
Discounted Cash Flow |
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| 6 |
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Family: |
DCF Annual |
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| 7 |
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Arguments: |
NPVDate, DisAER, AnnualCashFlows, StartAnnDate,
[DCountDisc], [StartDCF], [FinishDCF] |
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| 8 |
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Meaning: |
Present Value of an annual stream of cashflows |
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| 9 |
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Description: |
Calculates the
Net Present Value of a series of annual cashflows. It is the simplest of the DCF (Discount
Cash Flow) functions. |
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| 10 |
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| 11 |
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| 12 |
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Start Ann Date |
1 Jan 02 |
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| 13 |
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| 14 |
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CashFlows |
(100) |
50 |
60 |
70 |
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| 15 |
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| 16 |
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| 17 |
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| 18 |
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Discount Rate AeR |
NPV Date |
DayCount |
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NPV |
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Excel NPV |
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10.00%
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1 Jan 01 |
Omitted |
Actual Days/Actual
Days In Month ('Decimal Year'). |
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43 |
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43 |
| 20 |
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10.00%
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1 Jan 02 |
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30/360
(PSA). |
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48 |
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| 21 |
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10.00%
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1 Jan 00 |
1 |
Actual/Actual
(365 or 366). |
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39 |
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| 22 |
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23.38% |
1 Jan 00 |
2 |
Actual
Days/360. |
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11 |
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| 23 |
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23.38% |
1 Jan 00 |
3 |
Actual
Days/365. |
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11 |
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| 24 |
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11.69% |
1 Jan 00 |
4 |
30/360
(European). |
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35 |
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| 25 |
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11.69% |
1 Jan 00 |
5 |
Actual
Days/Actual Days In Month ('Decimal Year'). |
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35 |
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| 26 |
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| 27 |
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Using StartDCF to NPV a subrange |
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| 28 |
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StartDCF |
FinishDCF |
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| 29 |
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11.69% |
1 Jan 01 |
5 |
1 Jan 03 |
1 Jan 04 |
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40 |
40 |
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| 30 |
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| 31 |
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| 32 |
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| 33 |
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Notes: |
n DayCount is only used to determine the
difference between the
NPVDate and the StartAnnDate. |
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n Cashflows are considered to be exactly one
year apart regardless
of DayCount. |
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n
StartAnnDate
is the date of the FIRST annual cashflow.
Therefore
for like for like comparison with Excel's NPV function |
| 36 |
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NPV Date should be 1 year before the start of
cashflows, StartAnnDate (because NPV uses end of year discounting by
default). |
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| 37 |
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| 38 |
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| 39 |
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| 40 |
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| 41 |
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| 42 |
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| 43 |
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| 44 |
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| 45 |
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| 46 |
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| 47 |
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| 48 |
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| 49 |
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| 50 |
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| 51 |
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| 52 |
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| 53 |
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| 54 |
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| 55 |
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| 56 |
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| 57 |
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| 58 |
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| 59 |
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| 60 |
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| 61 |
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| 62 |
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| 63 |
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| 64 |
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| 65 |
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| 66 |
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| 67 |
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| 68 |
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| 69 |
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| 70 |
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| 71 |
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| 72 |
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| 73 |
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| 74 |
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| 75 |
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| 76 |
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| 77 |
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| 78 |
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| 79 |
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| 80 |
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