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

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__NOTOC__
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{{Documentation/MasterTOC
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|bookid=1234'''
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|booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">CALC FUNCTIONS</div>
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|ShowParttitle=block|parttitle=[[Documentation/How_Tos/Calc:_Financial_functions|<div style="font-size: 140%;">Financial Functions]]
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|ShowNextPage=block|NextPage=Documentation/How_Tos/Calc:_VDB_function
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|ShowPrevPage=block|PrevPage=Documentation/How_Tos/Calc:_SLN_function
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|ShowPrevPart=block|PrevPart=Documentation/How_Tos/Calc:_Date_%26_Time_functions
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|ShowNextPart=block|NextPart=Documentation/How_Tos/Calc:_Information_functions
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|toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div>
  
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Depreciation</div>
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* [[Documentation/How_Tos/Calc:_AMORDEGRC_function|<div style="font-size: 120%;">Amordegrc]]
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* [[Documentation/How_Tos/Calc:_AMORLINC_function|<div style="font-size: 120%;">Amorlinc]]
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* [[Documentation/How_Tos/Calc:_DB_function|<div style="font-size: 120%;">Db]]
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* [[Documentation/How_Tos/Calc:_DDB_function|<div style="font-size: 120%;">Ddb]]
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* [[Documentation/How_Tos/Calc:_SLN_function|<div style="font-size: 120%;">Sln]]
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* [[Documentation/How_Tos/Calc:_SYD_function|<div style="font-size: 120%; border-style: double; border-color:#778899;">Syd]]
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* [[Documentation/How_Tos/Calc:_VDB_function|<div style="font-size: 120%;">Vdb]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Payment Streams, Annuities, Loans</div>
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* [[Documentation/How_Tos/Calc:_CUMIPMT_function|<div style="font-size: 120%;">Cumipmt]]
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* [[Documentation/How_Tos/Calc:_CUMIPMT_ADD_function|<div style="font-size: 120%;">Cumipmt Add]]
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* [[Documentation/How_Tos/Calc:_CUMPRINC_function|<div style="font-size: 120%;">Cumprinc]]
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* [[Documentation/How_Tos/Calc:_CUMPRINC_ADD_function|<div style="font-size: 120%;">Cumpinc Add]]
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* [[Documentation/How_Tos/Calc:_FV_function|<div style="font-size: 120%;">Fv]]
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* [[Documentation/How_Tos/Calc:_FVSCHEDULE_function|<div style="font-size: 120%;">Fvschedule]]
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* [[Documentation/How_Tos/Calc:_IPMT_function|<div style="font-size: 120%;">Ipmt]]
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* [[Documentation/How_Tos/Calc:_IRR_function|<div style="font-size: 120%;">Irr]]
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* [[Documentation/How_Tos/Calc:_ISPMT_function|<div style="font-size: 120%;">Ispmt]]
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* [[Documentation/How_Tos/Calc:_MIRR_function|<div style="font-size: 120%;">Mirr]]
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* [[Documentation/How_Tos/Calc:_NPER_function|<div style="font-size: 120%;">Nper]]
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* [[Documentation/How_Tos/Calc:_NPV_function|<div style="font-size: 120%;">Npv]]
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* [[Documentation/How_Tos/Calc:_PMT_function|<div style="font-size: 120%;">Pmt]]
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* [[Documentation/How_Tos/Calc:_PPMT_function|<div style="font-size: 120%;">Ppmt]]
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* [[Documentation/How_Tos/Calc:_PV_function|<div style="font-size: 120%;">Pv]]
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* [[Documentation/How_Tos/Calc:_RATE_function|<div style="font-size: 120%;">Rate]]
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* [[Documentation/How_Tos/Calc:_RRI_function|<div style="font-size: 120%;">Rri]]
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* [[Documentation/How_Tos/Calc:_XIRR_function|<div style="font-size: 120%;">Xirr]]
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* [[Documentation/How_Tos/Calc:_XNPV_function|<div style="font-size: 120%;">Xnpv]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Securities</div>
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* [[Documentation/How_Tos/Calc:_ACCRINT_function|<div style="font-size: 120%;">Accrint]]
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* [[Documentation/How_Tos/Calc:_ACCRINTM_function|<div style="font-size: 120%;">Accrintm]]
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* [[Documentation/How_Tos/Calc:_DISC_function|<div style="font-size: 120%;">Disc]]
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* [[Documentation/How_Tos/Calc:_DURATION_function|<div style="font-size: 120%;">Duration]]
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* [[Documentation/How_Tos/Calc:_DURATION_ADD_function|<div style="font-size: 120%;">Duration Add]]
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* [[Documentation/How_Tos/Calc:_EFFECTIVE_function|<div style="font-size: 120%;">Effective]]
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* [[Documentation/How_Tos/Calc:_EFFECT_ADD_function|<div style="font-size: 120%;">Effect Add]]
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* [[Documentation/How_Tos/Calc:_INTRATE_function|<div style="font-size: 120%;">Intrate]]
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* [[Documentation/How_Tos/Calc:_MDURATION_function|<div style="font-size: 120%;">Mduration]]
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* [[Documentation/How_Tos/Calc:_DURATION_ADD_function|<div style="font-size: 120%;">Duration Add]]
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* [[Documentation/How_Tos/Calc:_NOMINAL_function|<div style="font-size: 120%;">Nominal]]
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* [[Documentation/How_Tos/Calc:_NOMINAL_ADD_function|<div style="font-size: 120%;">Nominal Add]]
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* [[Documentation/How_Tos/Calc:_ODDFPRICE_function|<div style="font-size: 120%;">Oddfprice]]
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* [[Documentation/How_Tos/Calc:_ODDFYIELD_function|<div style="font-size: 120%;">Oddfyield]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Coupons</div>
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* [[Documentation/How_Tos/Calc:_COUPDAYBS_function|<div style="font-size: 120%;">Coupdaybs]]
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* [[Documentation/How_Tos/Calc:_COUPDAYS_function|<div style="font-size: 120%;">Coupdays]]
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* [[Documentation/How_Tos/Calc:_COUPDAYSNC_function|<div style="font-size: 120%;">Coupdaysnc]]
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* [[Documentation/How_Tos/Calc:_COUPNCD_function|<div style="font-size: 120%;">Coupncd]]
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* [[Documentation/How_Tos/Calc:_COUPNUM_function|<div style="font-size: 120%;">Coupnum]]
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* [[Documentation/How_Tos/Calc:_COUPPCD_function|<div style="font-size: 120%;">Couppcd]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Miscellaneous</div>
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* [[Documentation/How_Tos/Calc:_DOLLARDE_function|<div style="font-size: 120%;">Coupdaybs]]
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* [[Documentation/How_Tos/Calc:_DOLLARFR_function|<div style="font-size: 120%;">Coupdays]]
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}}__TOC__
 
== SYD ==
 
== SYD ==
 
Returns the depreciation of an asset for a given year using the sum-of-years'-digits method.
 
Returns the depreciation of an asset for a given year using the sum-of-years'-digits method.
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:  returns <tt>'''3200'''</tt> in currency units, which is the depreciation in the first year for an asset which cost 10000 and is written down to 2000 over 4 years. The total loss of value is <tt>'''8000'''</tt>; <tt>'''3200'''</tt> is 4/10<sup>ths</sup> of this.
 
:  returns <tt>'''3200'''</tt> in currency units, which is the depreciation in the first year for an asset which cost 10000 and is written down to 2000 over 4 years. The total loss of value is <tt>'''8000'''</tt>; <tt>'''3200'''</tt> is 4/10<sup>ths</sup> of this.
  
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{{Documentation/SeeAlso|
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{{SeeAlso|EN|
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* [[Documentation/How_Tos/Calc: DB function|DB]],
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* [[Documentation/How_Tos/Calc: DB function|DB]]
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* [[Documentation/How_Tos/Calc: DDB function|DDB]],
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* [[Documentation/How_Tos/Calc: DDB function|DDB]]
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* [[Documentation/How_Tos/Calc: SLN function|SLN]],
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* [[Documentation/How_Tos/Calc: SLN function|SLN]]
 
* [[Documentation/How_Tos/Calc: VDB function|VDB]]
 
* [[Documentation/How_Tos/Calc: VDB function|VDB]]
  
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* [[Documentation/How_Tos/Calc: Derivation of Financial Formulas|Derivation of Financial Formulas]]'''
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* [[Documentation/How_Tos/Calc: Derivation of Financial Formulas|Derivation of Financial Formulas]]
  
 
* [[Documentation/How_Tos/Calc: Financial functions|Financial functions]]
 
* [[Documentation/How_Tos/Calc: Financial functions|Financial functions]]
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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]]

Revision as of 09:38, 17 July 2018


SYD

Returns the depreciation of an asset for a given year using the sum-of-years'-digits method.

Syntax:

SYD(originalcost; salvagevalue; lifetime; year)

originalcost: the initial cost of the asset.
salvagevalue: is the value at the end of the depreciation (sometimes called the salvage value of the asset).
lifetime: the number of years over which the asset is being depreciated.
year: the year number for which the depreciation is calculated.
To calculate depreciation, SYD adds the year numbers during the asset’s life; the year numbers taken backward and divided by that sum give the proportion of the total loss of value to assign to depreciation that year.
For example with a 4 year depreciation, where the asset loses 5000 in value: the sum of the year numbers is 1 + 2 + 3 + 4 = 10, and the depreciation each year (in order) is 4/10ths, 3/10ths, 2/10ths then 1/10th of 5000.
The formula for a year's depreciation is
(originalcost - salvagevalue)*(lifetime+1 - year)*2 / [(lifetime+1)*lifetime]

Example:

SYD(10000; 2000; 4; 1)

returns 3200 in currency units, which is the depreciation in the first year for an asset which cost 10000 and is written down to 2000 over 4 years. The total loss of value is 8000; 3200 is 4/10ths of this.


See Also
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