What distinguishes the MS Excel PV and NPV formulas from one another?
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Difference between PV and NPV Formulas in MS Excel
PV (Present Value):
=PV(rate, nper, pmt, [fv], [type])
rate
: The interest rate per period.nper
: The total number of periods.pmt
: The payment made each period; it must remain constant throughout the term.fv
(optional): The future value or cash balance after the last payment is made; defaults to 0 if omitted.type
(optional): The timing of the payment; 0 for end of period, 1 for beginning of period; defaults to 0 if omitted.Example of PV Formula in Excel:
This formula calculates the present value of an investment with an annual interest rate of 5%, 10 periods, a constant payment of -$1000 per period, and a future value of 0.
NPV (Net Present Value):
=NPV(rate, value1, [value2], ...)
rate
: The discount rate per period.value1
,value2
, …: The series of future cash flows.Example of NPV Formula in Excel:
This formula calculates the net present value of an investment with a discount rate of 5% and future cash flows of -$1000, $200, $300, $400, and $500.
Key Difference:
In summary, while both PV and NPV formulas in Excel are used to calculate present values, PV is used for single cash flow calculations, while NPV is used for multiple cash flow calculations to determine the profitability of an investment.