HELP!!!!!APR calculations in exvel

U

UCF1NITE

I need help in calculating an APR (annual percentage rate) using exce
2000. Does anyone know the proper formula to derive an APR given th
payments, PV, rate, NPER? Thanks for your help
 
N

Norman Harker

Hi UCF1NITE!

Use the RATE function:

=RATE(nper,pmt,pv,0,0,-0.9)

The guess rate I've used is more likely to yield results than leaving
it to the default.

RATE returns the effective rate for the frequency "counted" by NPER.
If this is the same frequency as the APR (most often 12) then to get
the APR:

=RATE(nper,pmt,pv,0,0,-0.9)*12

If the frequency is not the same as the required APR, you will need to
do a conversion that is based upon the appropriate re-expression of
the following:

=(1+Nomx/Freqx)^Freqx = (1+Nomy/Freqy)^Freqy

The main difficulty is that there are 10 commonly required
re-expressions.

I have an Addin plus guide on the problems of interest conversions. As
always; free to good homes but only on direct application to the email
address below.
--
Regards
Norman Harker MVP (Excel)
Sydney, Australia
(e-mail address removed)
Excel and Word Function Lists (Classifications, Syntax and Arguments)
available free to good homes.
 
G

Guest

Depends on country. UK is monthly periodic rate compounded to annual, believe the US is monthly periodic muliplied by 12
For UK: On the assumption that the monthly rate is 1.0% in A1. =-FV(A1,12,A1) This gives result of 12.6825% which should be displayed to one decimal place, 12.7% APR. Make sure you format A1 and formula cell as percentages. Formula (APR) cell to one decimal place, A1 to not less than same number of decimal places as periodic rate. If you set A1 for fewer decimal places than periodic rate, your result will be incorrect, so think about not just the rate today, but future rates with possibly larger number of decimal places
I don't know as much about Excel as many, but I do have working experience in this area. I have been helped on this site and hope this helps you
Davi
 
N

Norman Harker

Hi David!

Re UK use of term APR. It's a good point as there is potential for
confusion.

Your definition of APR = (1+MonthlyRate)^12-1 is a definition that
applies to consumer credit loans only where the UK Parliament stuffed
up the legislative definition of the rate which is to be labeled in
consumer credit agreements. In most other cases UK follows the
International definition although usually they use the term "Nominal"
compounded n times per year to avoid the potential of confusion with
the mis-defined APR.

You'll find the accepted "normal" definition of APR is recognised in
the labeling of financial calculator keys, where, for example, the
Sharp calculators label the Nominal key "APR" to contrast with the
"EFF" label applied to effective rates.

Blame your politicians for the confusion caused! <vbg>

--
Regards
Norman Harker MVP (Excel)
Sydney, Australia
(e-mail address removed)
Excel and Word Function Lists (Classifications, Syntax and Arguments)
available free to good homes.
David said:
Depends on country. UK is monthly periodic rate compounded to
annual, believe the US is monthly periodic muliplied by 12.
For UK: On the assumption that the monthly rate is 1.0% in A1.
=-FV(A1,12,A1) This gives result of 12.6825% which should be displayed
to one decimal place, 12.7% APR. Make sure you format A1 and formula
cell as percentages. Formula (APR) cell to one decimal place, A1 to
not less than same number of decimal places as periodic rate. If you
set A1 for fewer decimal places than periodic rate, your result will
be incorrect, so think about not just the rate today, but future rates
with possibly larger number of decimal places.
I don't know as much about Excel as many, but I do have working
experience in this area. I have been helped on this site and hope this
helps you.
 
G

Guest

Hello Norma
I've admired your work from a distance so it is good to speak with you directly
I have no experience other than the UK where my background is extensive use of Hewlett Packard's superb HP12c calculator with Reverse Polish Notation and I struggle to translate this into Excel. For the record, until 2000 the UK truncated the APR to one decimal place. From 2000 an EU directive took effect which introduced the present rounding method. Agree on politicians - the only calculation they know is how to get around the next corner.
I started work on an underwriting database for my business in December 2003 using ACT! and Excel. At that time I didn't know anything in Excel other than adding up columns and doing simple arithmetic on them. Reading sites like this has given me the tools to be very near to completing my project
Keep up the good work
David
 
N

Norman Harker

Hi David!

Apart from the definition problem in the UK, the other one when I was
there was that Banks and Building Societies were exempt (or maybe it
was just larger loans). With many Building Societies the effective
interest was significantly higher than the declared rate because of
their calculation method:

Calculate loan repayment at the declared rate on an annual in arrears
basis
Divide by 12

So with a declared rate of say 6% on a loan of 100000 over 10 years:

=(1+RATE(120,PMT(6%,10,100000,0,0)/12,100000,0,0,0))^12-1
Returns: 6.62942996860085%

Then they charged (say) 1% of the loan for establishment fees, so you
really get:

=(1+RATE(120,PMT(6%,10,100000,0,0)/12,99000,0,0,0))^12-1
Returns: 6.86777310742561%

And the legislation there, and elsewhere, doesn't catch the "interest
free " trick where they charge no interest but the cash price has been
inflated. An especial favorite of used car retailers where it's
difficult to get the equivalent cash price. They have to be careful
not to offer a discount for cash but one approach used to circumvent
this was to use a pair of companies which switched from deep
discounting to interest free credit every couple of months. "Interest
free" credit of over 40% on consumer goods such as carpets was not
unusual. The difficulty of those calculations is finding the price you
would pay elsewhere for a cash payment.

So for a new hifi with endless knobs and buttons I might pay 5000 with
interest free credit over 12 months but down the road (at a subsidiary
company) I might get it for 4000:

=(1+RATE(12,-5000/12,4000,0,0,0))^12-1
Returns: 53.0791748695815%

Not bad for "Interest Free"!



--
Regards
Norman Harker MVP (Excel)
Sydney, Australia
(e-mail address removed)
Excel and Word Function Lists (Classifications, Syntax and Arguments)
available free to good homes.
David said:
Hello Norman
I've admired your work from a distance so it is good to speak with you directly.
I have no experience other than the UK where my background is
extensive use of Hewlett Packard's superb HP12c calculator with
Reverse Polish Notation and I struggle to translate this into Excel.
For the record, until 2000 the UK truncated the APR to one decimal
place. From 2000 an EU directive took effect which introduced the
present rounding method. Agree on politicians - the only calculation
they know is how to get around the next corner.
I started work on an underwriting database for my business in
December 2003 using ACT! and Excel. At that time I didn't know
anything in Excel other than adding up columns and doing simple
arithmetic on them. Reading sites like this has given me the tools to
be very near to completing my project.
 
G

Guest

Hello Norma
All very interesting stuff. You are correct, Banks and Building Societies did not give APRs, being exempt under larger loan exclusion clauses, but these have been removed and so APRs are now given.
The large print giveth and the small print taketh away! Caveat emptor
David
 
N

Norman Harker

Hi David!

Thanks for that update on the legislation on consumer loans.

Quite awkward for the Building Societies because under the declared
rate scheme the effective rate depends upon the length of the loan
term.

--
Regards
Norman Harker MVP (Excel)
Sydney, Australia
(e-mail address removed)
Excel and Word Function Lists (Classifications, Syntax and Arguments)
available free to good homes.
David said:
Hello Norman
All very interesting stuff. You are correct, Banks and Building
Societies did not give APRs, being exempt under larger loan exclusion
clauses, but these have been removed and so APRs are now given.
 

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