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

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<tt>'''RECEIVED("2009-06-01"; "2009-12-31"; 10000; 5%; 1)'''</tt>
 
<tt>'''RECEIVED("2009-06-01"; "2009-12-31"; 10000; 5%; 1)'''</tt>
 
:  returns approximately <tt>'''10300.5503'''</tt>.  
 
:  returns approximately <tt>'''10300.5503'''</tt>.  
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=== Issues: ===
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* Calc and Excel do not agree on the number of days in a year in basis 1. It is not clear which is theoretically correct. Calc uses the number of days in the year containing <tt>'''settlementdate'''</tt>. See Issue 93527.
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* Excel appears to have a bug for basis 4.
  
 
{{Documentation/SeeAlso|
 
{{Documentation/SeeAlso|
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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]]}}
 
=== Issues: ===
 
* Calc and Excel do not agree on the number of days in a year in basis 1. It is not clear which is theoretically correct. Calc uses the number of days in the year containing <tt>'''settlementdate'''</tt>. See Issue 93527.
 
* Excel appears to have a bug for basis 4.
 

Revision as of 08:16, 3 March 2009


RECEIVED

Calculates the amount received at maturity for a zero coupon bond.

Syntax:

RECEIVED(settlementdate; maturitydate; purchasevalue; discountrate; basis)

settlementdate: the settlement (purchase) date of the bond.
maturitydate: the maturity (redemption) date of the bond.
purchasevalue: the value of the bond at purchase.
discountrate: the discount rate of the bond.
basis: is the calendar system to use. Defaults to 0 if omitted.
0 - US method (NASD), 12 months of 30 days each
1 - Actual number of days in months, actual number of days in year
2 - Actual number of days in month, year has 360 days
3 - Actual number of days in month, year has 365 days
4 - European method, 12 months of 30 days each


RECEIVED calculates the amount returned at maturity for a discounted bond which pays no interest. It returns:
purchasevalue / ( 1 - days_difference/days_in_year),
where days_difference is the number of days between settlementdate and maturitydate, and days_in_year is the number of days in a year, both calculated according to the calendar system basis.
As the formula takes no account of compounding, this function is most reliable for periods of less than a year. See Derivation of Financial Formulas for a formula review.

Example:

RECEIVED("2009-06-01"; "2009-12-31"; 10000; 5%; 1)

returns approximately 10300.5503.

Issues:

  • Calc and Excel do not agree on the number of days in a year in basis 1. It is not clear which is theoretically correct. Calc uses the number of days in the year containing settlementdate. See Issue 93527.
  • Excel appears to have a bug for basis 4.

Template:Documentation/SeeAlso

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