Difference between revisions of "Manuals/calci/PMT"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''PMT'''(Rate, NoPayments, PresentValue, FutureValue, Type) where, '''Rate''' - represents the interest rate...")
 
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<div id="6SpaceContent" class="zcontent" align="left">
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<div style="font-size:30px">'''PMT(r,np,pv,fv,ty)'''</div><br/>
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*<math>r </math> is the interest rate.
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*<math> np </math> is the total number of payment periods.
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*<math> pv </math> is the at present value.
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*<math> fv </math> is the future value.
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*<math> ty </math> is the type.
  
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'''PMT'''(Rate, NoPayments, PresentValue, FutureValue, Type)
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==Description==
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*This functon gives the payment amount for the loan.
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where,
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*It is based on the period, fixed payments and a fixed interest rate.
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*In <math>PMT(r,np,pv,fv,ty)</math> ,<math> r </math> is the annual rate of interest for the loan.
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'''Rate''' - represents the interest rate for the loan.
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*Suppose we are taking  a loan for 8 percent annual interest rate and paying the amount in monthly, then the <math> r </math> value is 8%/12.
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*So we have to enter the <math> r </math> value as  8%/12 or 0.6667% or 0.006667 in to the formula as the rate.
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'''NoPayments''' - the total number of payments for the loan.
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*<math> np </math> is the total number of payment periods in an annuity.
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*<math> pv </math> is the present value or the amount borrowed or the principal of the loan.
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'''PresentValue''' - represents the present value.
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*<math> fv </math> is the future value of an investment or loan (the value you want to achieve at the end of all periods) when we are omitting the value of <math>fv </math> ,then it is assumed to be 0.  
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*i.e.,future value of a loan is 0.
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'''FutureValue''' - represents the future value.
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*<math> ty </math> is the number 0 or 1 which is specifies the time to make a payment during the period.
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*when we are not giving the value of <math>ty</math>, then it is assumed to be 0.
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If omitted cosidered as a 0.
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{| class="wikitable"
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|-
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'''Type''' - represents payments due.
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! ty value
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! Explanation
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'''Type              Payment Due'''
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|-
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| 0
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0 or omitted    end of the period
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| Payments are due at the end of the period
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|-
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| 1
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|Payments are due at the beginning of the period
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|}
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*The amount given by the function <math> PMT </math> not containing any taxes,rserve payments or extra fees related with the loan.
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*But it contains only the principal amount and interest only.
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*Also to calculate the total amount paid during the loan period, multiply the returned <math> PMT </math> value by <math> np </math>.
  
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1                     beginning of the period
 
  
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</div>
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==Examples==
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----
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#=PMT(11%/12,14,25000) = -1910.908677870
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<div id="1SpaceContent" class="zcontent" align="left">
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#=PMT(9%/12,20,50000,10000,0) = -3166.8379163721
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#=PMT(9%/12,20,50000,10000,1) = -3143.26344056
  
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It returns the payment for a loan based on constant interest rate and constant payments.
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==See Also==
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*[[Manuals/calci/FV  | FV ]]
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*[[Manuals/calci/IPMT  | IPMT ]]
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*[[Manuals/calci/PPMT  | PPMT ]]
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*[[Manuals/calci/NPER  | NPER ]]
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*[[Manuals/calci/PV  | PV ]]
  
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</div>
 
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----
 
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<div id="7SpaceContent" class="zcontent" align="left">
 
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If Type other than 0 or 1, PMT returns the #ERROR.
 
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</div>
 
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----
 
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
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PMT
 
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</div></div>
 
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----
 
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<div id="8SpaceContent" class="zcontent" align="left">
 
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Lets see an example in (Column1, Row6)
 
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<nowiki>=PMT(0.2/12, R2C1, R3C1, R4C1, R5C1)</nowiki>
 
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PMT returns -10333.287654.
 
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Consider another example
 
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<nowiki>=NPER(0.1/12,50,52000,1,4)</nowiki>
 
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It returns #ERROR.
 
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</div>
 
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----
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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----
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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----
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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----
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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----
 
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<div id="2SpaceContent" class="zcontent" align="left">
 
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{| id="TABLE3" class="SpreadSheet blue"
 
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|- class="even"
 
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| class=" " |
 
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| Column1
 
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| class="    SelectTD ChangeBGColor SelectTD" |
 
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<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>Column2
 
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| Column3
 
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| Column4
 
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|- class="odd"
 
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| class=" " | Row1
 
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| class="sshl_f" | 20%
 
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|
 
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|
 
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|- class="even"
 
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| class="  " | Row2
 
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| class=" " | 5
 
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|
 
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|- class="odd"
 
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| Row3
 
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| class=" " | 50000
 
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|
 
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|- class="even"
 
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| class=" " | Row4
 
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| class=" " | 0
 
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|
 
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|
 
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|
 
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|- class="odd"
 
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| class=" " | Row5
 
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| class="sshl_f " | 1
 
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|
 
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|
 
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|
 
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|- class="even"
 
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| Row6
 
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| class="sshl_f" | -10333.287654
 
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|
 
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|
 
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|
 
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|}
 
  
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<div align="left">[[Image:calci1.gif]]</div></div>
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==References==
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----
 

Revision as of 03:37, 28 February 2014

PMT(r,np,pv,fv,ty)


  • is the interest rate.
  • is the total number of payment periods.
  • is the at present value.
  • is the future value.
  • is the type.

Description

  • This functon gives the payment amount for the loan.
  • It is based on the period, fixed payments and a fixed interest rate.
  • In , is the annual rate of interest for the loan.
  • Suppose we are taking a loan for 8 percent annual interest rate and paying the amount in monthly, then the value is 8%/12.
  • So we have to enter the value as 8%/12 or 0.6667% or 0.006667 in to the formula as the rate.
  • is the total number of payment periods in an annuity.
  • is the present value or the amount borrowed or the principal of the loan.
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle fv } is the future value of an investment or loan (the value you want to achieve at the end of all periods) when we are omitting the value of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle fv } ,then it is assumed to be 0.
  • i.e.,future value of a loan is 0.
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ty } is the number 0 or 1 which is specifies the time to make a payment during the period.
  • when we are not giving the value of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ty} , then it is assumed to be 0.
ty value Explanation
0 Payments are due at the end of the period
1 Payments are due at the beginning of the period
  • The amount given by the function Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle PMT } not containing any taxes,rserve payments or extra fees related with the loan.
  • But it contains only the principal amount and interest only.
  • Also to calculate the total amount paid during the loan period, multiply the returned Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle PMT } value by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle np } .


Examples

  1. =PMT(11%/12,14,25000) = -1910.908677870
  2. =PMT(9%/12,20,50000,10000,0) = -3166.8379163721
  3. =PMT(9%/12,20,50000,10000,1) = -3143.26344056

See Also


References

Retrieved from "http://wiki.zcubes.com/index.php?title=Manuals/calci/PMT&oldid=198093"