Difference between revisions of "Manuals/calci/IPMT"

From ZCubes Wiki
Jump to navigation Jump to search
Line 1: Line 1:
−
<div style="font-size:30px">'''IPMT(r,pr,np,pv,fv,type)'''</div><br/>
+
<div style="font-size:30px">'''IPMT(rate,period,no.paymentperiods,presentvalue,futurevalue,Type)'''</div><br/>
−
*<math>r</math> is the annual rate of interest.
+
*<math>rate</math> is the annual rate of interest.
−
*<math>pr</math> is the period of  to find the interest rate.
+
*<math>periods</math> is the period of  to find the interest rate.
−
*<math>np</math> is the number of installments.
+
*<math>no.paymentperiods</math> is the number of installments.
−
*<math>pv</math> is the present value.
+
*<math>presentvalue</math> is the present value.
−
*<math>fv</math> is the future value.
+
*<math>futurevalue</math> is the future value.
−
*<math>type</math> is either 1 or 0.
+
*<math>Type</math> is either 1 or 0.
 +
 
 
==Description==
 
==Description==
 
*This function gives amount of interest for a particular time, according to the periodic, fixed payments and fixed  interest rate.
 
*This function gives amount of interest for a particular time, according to the periodic, fixed payments and fixed  interest rate.
 
*This function can be used to calculate the payments for a loan or the future value of an investment.
 
*This function can be used to calculate the payments for a loan or the future value of an investment.
−
*In <math>IPMT(r,pr,np,pv,fv,type)</math>, where <math>r</math> is the rate of interest for a year
+
*In <math>IPMT(rate,period,no.paymentperiods,presentvalue,futurevalue,Type)</math>, where <math>rate</math> is the rate of interest for a year
−
*<math>pr</math>  is the period for which the interest payment is to be calculated. It must be a value between <math>1</math> and <math>np</math>.
+
*<math>period</math>  is the period for which the interest payment is to be calculated. It must be a value between <math>1</math> and <math>np</math>.
−
*<math>np</math> is the total number of periods over which the loan or investment is to be paid.
+
*<math>no.paymentperiods</math> is the total number of periods over which the loan or investment is to be paid.
−
*<math>pv</math> is the present value of the loan.
+
*<math>presentvalue</math> is the present value of the loan.
−
*<math>fv</math> is the future value of the loan, at the end of <math>np</math> payment.  
+
*<math>futurevalue</math> is the future value of the loan, at the end of <math>np</math> payment.  
−
*<math>type</math> is the number <math>0</math> or <math>1</math>.
+
*<math>Type</math> is the number <math>0</math> or <math>1</math>.
 
*When type value is <math>0</math> means the payment is made at the end of the period and type value is <math>1</math> means the payment is made at the beginning of the period
 
*When type value is <math>0</math> means the payment is made at the end of the period and type value is <math>1</math> means the payment is made at the beginning of the period
−
*Here the arguments <math>fv</math> and <math>type</math> are optional.  
+
*Here the arguments <math>futurevalue</math> and <math>Type</math> are optional.  
−
*Suppose we omit the value of <math>fv</math>, then it will consider the value as <math>0</math>.
+
*Suppose we omit the value of <math>futurevalue</math>, then it will consider the value as <math>0</math>.
−
*Also when we are not giving the <math>type</math> value, the default value is <math>0</math>.
+
*Also when we are not giving the <math>Type</math> value, the default value is <math>0</math>.
−
*Suppose we calculate the monthly payments instead of annual payment, for the argument <math>r</math> we have to divide by <math>12</math> and the <math>np</math> value we have multiply with <math>12</math>.  
+
*Suppose we calculate the monthly payments instead of annual payment, for the argument <math>rate</math> we have to divide by <math>12</math> and the <math>np</math> value we have multiply with <math>12</math>.  
−
*For e.g. The  monthly payments on a 5 year loan at 10% annual interest, we have to give the arguments <math>r</math> and <math>np</math> as 10%/12 for <math>r</math> and 5*12 for <math>np</math>.
+
*For e.g. The  monthly payments on a 5 year loan at 10% annual interest, we have to give the arguments <math>rate</math> and <math>np</math> as 10%/12 for <math>rate</math> and 5*12 for <math>no.paymentperiods</math>.
 
*This function will give result as error when  
 
*This function will give result as error when  
 
  Any one of the argument is non-numeric
 
  Any one of the argument is non-numeric
−
  <math>pr < 0</math> or <math>pr > np</math>
+
  <math>period < 0</math> or <math>period > no.paymentperiods</math>
 +
 
 +
==ZOS Section==
 +
*The syntax is to calculate amount of interest for a particular time in ZOS is <math>IPMT(rate,period,no.paymentperiods,presentvalue,futurevalue,Type)</math>
 +
**<math>rate</math> is the annual rate of interest.
 +
**<math>periods</math> is the period of  to find the interest rate.
 +
**<math>no.paymentperiods</math> is the number of installments.
 +
**<math>presentvalue</math> is the present value.
 +
**<math>futurevalue</math> is the future value.
 +
**<math>Type</math> is either 1 or 0.
 +
*For e.g.,
 +
 
  
 
==Examples==
 
==Examples==

Revision as of 00:54, 25 June 2014

IPMT(rate,period,no.paymentperiods,presentvalue,futurevalue,Type)


  • is the annual rate of interest.
  • is the period of to find the interest rate.
  • is the number of installments.
  • is the present value.
  • is the future value.
  • is either 1 or 0.

Description

  • This function gives amount of interest for a particular time, according to the periodic, fixed payments and fixed interest rate.
  • This function can be used to calculate the payments for a loan or the future value of an investment.
  • In , where is the rate of interest for a year
  • is the period for which the interest payment is to be calculated. It must be a value between and .
  • is the total number of periods over which the loan or investment is to be paid.
  • is the present value of the loan.
  • is the future value of the loan, at the end of payment.
  • is the number or .
  • When type value is means the payment is made at the end of the period and type value is means the payment is made at the beginning of the period
  • Here the arguments and are optional.
  • Suppose we omit the value of , then it will consider the value as .
  • Also when we are not giving the value, the default value is .
  • Suppose we calculate the monthly payments instead of annual payment, for the argument we have to divide by and the value we have multiply with .
  • For e.g. The monthly payments on a 5 year loan at 10% annual interest, we have to give the arguments and as 10%/12 for and 5*12 for .
  • This function will give result as error when
Any one of the argument is non-numeric
 or

ZOS Section

  • The syntax is to calculate amount of interest for a particular time in ZOS is
    • is the annual rate of interest.
    • is the period of to find the interest rate.
    • is the number of installments.
    • is the present value.
    • is the future value.
    • is either 1 or 0.
  • For e.g.,


Examples

  • 1.Calculate the interest payment during half yearly 1 and 2 of a loan for 50,000, that is to be reduced to 10,000 over a period of 3 years, by a series of constant half-yearly payments.
  • Interest is charged at a rate of 4.5% per year and the payment is made at the beginning of each half year.
  • IPMT(4.5%/2,3,2*2,50000,10000,1)= -480.666
  • 2.The interest payment for a $55000 investment that earns 7.50% annually for 15 years.
  • The interest payment is calculated for the 5th year and payments are due at the end of each year.

IPMT(7.5%/1, 5, 15*1, 55000)=-3418.570

See Also

References

Binary Logarithm

Retrieved from "http://wiki.zcubes.com/index.php?title=Manuals/calci/IPMT&oldid=200042"