Equation behind the Function
You cannot see the specific workings for your own calculation, but you
CAN get the full help on Excel functions by using the online help -
press F1 to access it - for the specific function, help gives:-
PMT
See Also
Calculates the payment for a loan based on constant payments and a
constant interest rate.
Syntax
PMT(rate,nper,pv,fv,type)
For a more complete description of the arguments in PMT, see the PV
function.
Rate is the interest rate for the loan.
Nper is the total number of payments for the loan.
Pv is the present value, or the total amount that a series of future
payments is worth now; also known as the principal.
Fv is the future value, or a cash balance you want to attain after
the last payment is made. If fv is omitted, it is assumed to be 0
(zero), that is, the future value of a loan is 0.
Type is the number 0 (zero) or 1 and indicates when payments are due.
Set type equal to If payments are due
0 or omitted At the end of the period
1 At the beginning of the period
Remarks
The payment returned by PMT includes principal and interest but no
taxes, reserve payments, or fees sometimes associated with loans.
Make sure that you are consistent about the units you use for
specifying rate and nper. If you make monthly payments on a four-year
loan at an annual interest rate of 12 percent, use 12%/12 for rate and
4*12 for nper. If you make annual payments on the same loan, use 12
percent for rate and 4 for nper.
Tip
To find the total amount paid over the duration of the loan, multiply
the returned PMT value by nper.
Example 1
The example may be easier to understand if you copy it to a blank
worksheet.
How?
Create a blank workbook or worksheet.
Select the example in the Help topic. Do not select the row or column
headers.
Selecting an example from Help
Press CTRL+C.
In the worksheet, select cell A1, and press CTRL+V.
To switch between viewing the results and viewing the formulas that
return the results, press CTRL+` (grave accent), or on the Tools menu,
point to Formula Auditing, and then click Formula Auditing Mode.
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2
3
4
A B
Data Description
8% Annual interest rate
10 Number of months of payments
10000 Amount of loan
Formula Description (Result)
=PMT(A2/12, A3, A4) Monthly payment for a loan with the above terms
(-1,037.03)
=PMT(A2/12, A3, A4, 0, 1) Monthly payment for a loan with the above
terms, except payments are due at the beginning of the period
(-1,030.16)
Example 2
You can use PMT to determine payments to annuities other than loans.
The example may be easier to understand if you copy it to a blank
worksheet.
How?
Create a blank workbook or worksheet.
Select the example in the Help topic. Do not select the row or column
headers.
Selecting an example from Help
Press CTRL+C.
In the worksheet, select cell A1, and press CTRL+V.
To switch between viewing the results and viewing the formulas that
return the results, press CTRL+` (grave accent), or on the Tools menu,
point to Formula Auditing, and then click Formula Auditing Mode.
1
2
3
4
A B
Data Description
6% Annual interest rate
18 Years you plan on saving
50,000 Amount you want to have save in 18 years
Formula Description (Result)
=PMT(A2/12, A3*12, 0, A4) Amount to save each month to have 50,000 at
the end of 18 years (-129.08)
Note The interest rate is divided by 12 to get a monthly rate. The
number of years the money is paid out is multiplied by 12 to get the
number of payments.
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