I want the PMT function to calculate using 360 days not 365

[Guest]

I am using Excel 2002 I am trying to calculate a fixed monthly payment on a
24 month loan. The problem is the bank uses a 360 day basis when they
calculate the fixed monthly payment. Excel's PMT formula has a 365 day basis.
I have been on the Internet to no avail. I would greatly appreciate
anyone's help in solving this problem.

 

[Don Guillett]

try

(Principle * i * (1+i)^n) ) / ((1+i)^n -1)
i = period interest rate (annual rate/12)
n = number of periods
====

or From Norman Harker

PMT = =-(PV*(1+RATE)^NPER+FV)/((1+RATE*TYPE)*(((1+RATE)^NPER-1)/RATE))

 

[hrlngrv]

amalecki wrote...

I am using Excel 2002 I am trying to calculate a fixed monthly payment on a
24 month loan. The problem is the bank uses a 360 day basis when they

calculate the fixed monthly payment. Excel's PMT formula has a 365 day

basis.
....

If you have 24 identical monthly payments, the only trick is in
calculating the *effective* monthly interest rate. That is, whether you
use 360, 365 or 366 day years, there are always 12 months in a year.
Your effective interest rate is the rate used for compounding, but
banks like to quote *nominal* interest rates which are lower than
annualized effective interest rates. (Truth in lending?!) Anyway, if
your bank quotes nominal interest rates for daily compounding, then
what I suspect is that the bank calculates the monthly effective
interest rate as

(1 + Nominal Rate / 360)^30 - 1

rather than as

(1 + Nominal Rate / 365)^(365/12) - 1

For a 6.0% nominal interest rate, the former returns an effective
monthly interest rate of 0.5012102% (so an annual effective rate of
6.18312%) while the latter gives 0.5012108% monthly (6.18313%
annually).

What's the stated interest rate and the ratio of your monthly payment
to the loan amount?

 

[Guest]

amalecki wrote...

basis.
....

If you have 24 identical monthly payments, the only trick is in
calculating the *effective* monthly interest rate. That is, whether you
use 360, 365 or 366 day years, there are always 12 months in a year.
Your effective interest rate is the rate used for compounding, but
banks like to quote *nominal* interest rates which are lower than
annualized effective interest rates. (Truth in lending?!) Anyway, if
your bank quotes nominal interest rates for daily compounding, then
what I suspect is that the bank calculates the monthly effective
interest rate as

(1 + Nominal Rate / 360)^30 - 1

rather than as

(1 + Nominal Rate / 365)^(365/12) - 1

For a 6.0% nominal interest rate, the former returns an effective
monthly interest rate of 0.5012102% (so an annual effective rate of
6.18312%) while the latter gives 0.5012108% monthly (6.18313%
annually).

What's the stated interest rate and the ratio of your monthly payment
to the loan amount?

amalecki writes:
The only interest rate I have from the Bank is 6%; the monthly payment the
bank calculated is $9,465.67, based upon a loan amount of $213,402.24.

 

[Guest]

Don,
I tried your equations but to no avail; the Bank is using 6% based upon a
360 day year; the loan amount is $213,402.24; the loan will be paid off after
24 monthly payments; the fixed monthly payment the Bank has calculated is
$9,465.67.
Thanks
amalecki

 

[Harlan Grove]

The only interest rate I have from the Bank is 6%; the monthly payment the
bank calculated is $9,465.67, based upon a loan amount of $213,402.24.

Excel's RATE function, =RATE(24,9465.67,-213402.24), gives 0.00506544 as the
monthly effective interest rate. That gives an annual effictive interest
rate of 0.06250763. 0.00506544/0.06 = 11.84498143, 360/(365/12) =
11.83561644. I have to admit I don't see how the bank comes up with their
monthly loan payment.