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Difference between revisions of "Manuals/calci/PMT"
 
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<div style="font-size:30px">'''PMT(r,np,pv,fv,ty)'''</div><br/>
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<div style="font-size:30px">'''PMT (Rate,NoPaymentPeriods,PresentValue,FutureValue,Type)'''</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>Rate </math> is the interest rate.
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*<math> pv </math> is the at present value.
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*<math> NoPaymentPeriods </math> is the total number of payment periods.
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*<math> fv </math> is the future value.
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*<math> PresentValue </math> is the at present value.
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*<math> ty </math> is the type.
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*<math> FutureValue</math> is the future value.
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*<math> Type</math> is the type.
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**PMT(), returns the periodic payment for an annuity
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==Description==
 
==Description==
 
*This functon gives the payment amount for the loan.
 
*This functon gives the payment amount for the loan.
 
*It is based on the period, fixed payments and a fixed interest rate.  
 
*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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*In <math>PMT (Rate,NoPaymentPeriods,PresentValue,FutureValue,Type)</math> ,<math> Rate </math> is the annual rate of interest 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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*Suppose we are taking  a loan for 8 percent annual interest rate and paying the amount in monthly, then the <math> Rate </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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*So we have to enter the <math> Rate </math> value as  8%/12 or 0.6667% or 0.006667 in to the formula as the rate.
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*<math> np </math> is the total number of payment periods in an annuity.
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*<math> NoPaymentPeriods </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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*<math> PresentValue </math> is the present value or the amount borrowed or the principal of the loan.
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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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*<math> FutureValue </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>FutureValue </math> ,then it is assumed to be 0.  
 
*i.e.,future value of a loan is 0.  
 
*i.e.,future value of a loan is 0.  
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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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*<math> Type </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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*when we are not giving the value of <math>Type</math>, then it is assumed to be 0.
 
{| class="wikitable"
 
{| class="wikitable"
 
|-
 
|-
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! ty value
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! Type value
 
! Explanation
 
! Explanation
 
|-
 
|-
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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.  
 
*The amount given by the function <math> PMT </math> not containing any taxes,rserve payments or extra fees related with the loan.  
 
*But it contains only the principal amount and interest only.  
 
*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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*Also to calculate the total amount paid during the loan period, multiply the returned <math> PMT </math> value by <math> NoPaymentPeriods </math>.
  
 
==ZOS Section==
 
==ZOS Section==
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*The function to calculate PMT in ZOS is
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*The function to calculate PMT in ZOS is PMT(Rate,NoPaymentPeriods,PresentValue,FutureValue,Type)
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:
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*<math>rate </math> is the interest rate.
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*<math> NoPaymentPeriods </math> is the total number of payment periods.
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*<math> PresentValue </math> is the current value for the amount.
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*<math> FutureValue </math> is the future value.
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*For e.g.,PMT(0.62/12,19..22,34000)
  
 
==Examples==
 
==Examples==
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#=PMT(11%/12,14,25000) = -1910.908677870
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#=PMT(0.11/12,14,25000) = -1910.908677870
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#=PMT(9%/12,20,50000,10000,0) = -3166.8379163721
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#=PMT(0.09/12,20,50000,10000,0) = -3166.8379163721
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#=PMT(9%/12,20,50000,10000,1) = -3143.26344056
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#=PMT(0.09/12,20,50000,10000,1) = -3143.26344056
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==Related Videos==
 +
 
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{{#ev:youtube|k5xSlA1jpW4|280|center|PMT}}
  
 
==See Also==
 
==See Also==
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*[[Manuals/calci/PV  | PV ]]
 
*[[Manuals/calci/PV  | PV ]]
  
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==References==
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*[http://www.techonthenet.com/excel/formulas/pmt.php PMT]
  
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==References==
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 17:31, 23 July 2018

PMT (Rate,NoPaymentPeriods,PresentValue,FutureValue,Type)


  • 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 Rate } is the interest rate.
  • 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 NoPaymentPeriods } is the total number of payment periods.
  • 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 PresentValue } is the at present value.
  • 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 FutureValue} is the future value.
  • 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 Type} is the type.
    • PMT(), returns the periodic payment for an annuity


Description

  • This functon gives the payment amount for the loan.
  • It is based on the period, fixed payments and a fixed interest rate.
  • In 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 (Rate,NoPaymentPeriods,PresentValue,FutureValue,Type)} ,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 Rate } 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 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 Rate } value is 8%/12.
  • So we have to enter the 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 Rate } value as 8%/12 or 0.6667% or 0.006667 in to the formula as the rate.
  • 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 NoPaymentPeriods } is the total number of payment periods in an annuity.
  • 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 PresentValue } 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 FutureValue } 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 FutureValue } ,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 Type } 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 Type} , then it is assumed to be 0.
Type 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 NoPaymentPeriods } .

ZOS Section

  • The function to calculate PMT in ZOS is PMT(Rate,NoPaymentPeriods,PresentValue,FutureValue,Type)
  • 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 rate } is the interest rate.
  • 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 NoPaymentPeriods } is the total number of payment periods.
  • 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 PresentValue } is the current value for the amount.
  • 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 FutureValue } is the future value.
  • For e.g.,PMT(0.62/12,19..22,34000)

Examples

  1. =PMT(0.11/12,14,25000) = -1910.908677870
  2. =PMT(0.09/12,20,50000,10000,0) = -3166.8379163721
  3. =PMT(0.09/12,20,50000,10000,1) = -3143.26344056

Related Videos

PMT

See Also

References


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