Difference between revisions of "Documentation/How Tos/Calc: NPER function"

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== NPER ==
 
== NPER ==
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: <tt>'''NPER'''</tt> returns the number of payment periods implied by a lump sum (<tt>'''presentvalue'''</tt>) at the start of the term, a <tt>'''payment'''</tt> being made each period for <tt>'''numperiods'''</tt> periods, at fixed rate interest, compounded each period, and a lump sum (<tt>'''futurevalue'''</tt>) at the end of the term.
 
: <tt>'''NPER'''</tt> returns the number of payment periods implied by a lump sum (<tt>'''presentvalue'''</tt>) at the start of the term, a <tt>'''payment'''</tt> being made each period for <tt>'''numperiods'''</tt> periods, at fixed rate interest, compounded each period, and a lump sum (<tt>'''futurevalue'''</tt>) at the end of the term.
  
: See [[Documentation/How_Tos/Calc: Derivation of Financial Formulas|Derivation of Financial Formulas]]''' for the underlying formula.
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: See [[Documentation/How_Tos/Calc: Derivation of Financial Formulas|Derivation of Financial Formulas]] for the underlying formula.
  
 
=== Example: ===
 
=== Example: ===
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: returns approximately <tt>'''8.31'''</tt>, the number of periods to realise this scenario.
 
: returns approximately <tt>'''8.31'''</tt>, the number of periods to realise this scenario.
  
{{Documentation/SeeAlso|
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=== Issues: ===
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* The number of periods returned can be fractional. The fraction results from solving the equation, and is not in itself meaningful. Real life periods will be whole.
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* Take care that you understand how this function compounds the interest each period. Many financial calculators allow you to set a separate compounding period - spreadsheets do not. Choose the interest rate appropriately.
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{{SeeAlso|EN|
 
* [[Documentation/How_Tos/Calc: PV function|PV]]
 
* [[Documentation/How_Tos/Calc: PV function|PV]]
 
* [[Documentation/How_Tos/Calc: FV function|FV]]
 
* [[Documentation/How_Tos/Calc: FV function|FV]]
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* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]]
 
* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]]
 
* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}}
 
* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}}
 
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[[Category: Documentation/Reference/Calc/Financial functions]]
=== Issues: ===
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* The number of periods returned can be fractional. The fraction results from solving the equation, and is not in itself meaningful. Real life periods will be whole.
+
* Take care that you understand how this function compounds the interest each period. Many financial calculators allow you to set a separate compounding period - spreadsheets do not. Choose the interest rate appropriately.
+

Latest revision as of 15:57, 30 January 2024

NPER

Returns the number of payment periods for an annuity.

Syntax:

NPER(rate; payment; presentvalue; futurevalue; type)

rate: the (fixed) interest rate per period.
payment: the payment made each period.
presentvalue: the lump sum payment at the start of the term.
futurevalue: the cash balance paid at the end of the term (optional - defaults to 0).
type: when payments are made (optional - defaults to 0):
0 - at the end of each period.
1 - at the start of each period (including a payment at the start of the term).


NPER returns the number of payment periods implied by a lump sum (presentvalue) at the start of the term, a payment being made each period for numperiods periods, at fixed rate interest, compounded each period, and a lump sum (futurevalue) at the end of the term.
See Derivation of Financial Formulas for the underlying formula.

Example:

NPER(5%; -100; 0; 1000; 0)

returns approximately 8.31, the number of periods to realise this scenario.

Issues:

  • The number of periods returned can be fractional. The fraction results from solving the equation, and is not in itself meaningful. Real life periods will be whole.
  • Take care that you understand how this function compounds the interest each period. Many financial calculators allow you to set a separate compounding period - spreadsheets do not. Choose the interest rate appropriately.



See Also
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