Annual % Cost of a discount

Hi all,

I've been asked to work out the annual % cost of a discount and have been given the following information:

Average customer invoices = £3000
Normal payment terms = 90 days
Proposed discount of 2% for payment in 30 days.

I haven't got the answer to the question, but I just want to double check the method I am using:

I am going to use the annual cost of a discount calculation from my book =

d/(100-d) X 365/(N-D)


d= discount given (%)
N= Normal Terms
D= Discount Terms

I can put all my figures in, but I can't work out where to put the figure for average invoice value of £3000 (or has this been put in the question to confuse me??)

Many thanks


PS forgot to put my answer in - i get 12.42%


  • visha
    visha Registered Posts: 218 ? ? ?
    My calculations are as follows

    3000 x 2% = £60 discount given for 60 days early settlement

    therefore £60 divide by 60days times 365 days for annualised cost = £365

    £365 divide by (3000 - 60) £2940 capital amount times 100 equals 12.415%

    therefore I agree with your answer
  • MattW
    MattW FMAAT Posts: 41 ? ? ?
    Thanks vishia, I haven't seen that way of calculating before, but can see how it works - where did you learn it?

    I don't have that method in my Kaplan books.

    But I am glad we agree!


  • SandyHood
    SandyHood Registered, Moderator Posts: 2,034
    Both methods are fine. Effectively they are the same the same method but I can understand that putting a value in can make it more realistic.

    This is my answer to an earlier posting asking the same question

    There is one point that is worth pointing out (although I feel that producing a compound rate of interest on an accounting course equivalent to NVQ level 3 is perhaps questionable)
    Normal payment terms = 90 days
    Proposed discount of 2% for payment in 30 days.

    The % saving is 2/98
    The number of periods in the year are 365/(90-30)

    So the savings rate can be compounded to get a more precise annual equivalent rate. Which we would expect to be slightly more than the simple interest rate.
    ..2 +1 to the power of the number of periods (.365)

    This gives a rate of 13.08%

    I am aware that this topic is being tested in the skills test (hence all the threads on here!!) but I consider that the following answers would both be considered evidence of copmpetence.
    1. 12..42% at a simple rate (which would be slightly lower than a compound equivalent) for candidates with calculators with no button to enable "to the power" calculations.
    2. 13.08% is the annual percentage rate equivalent

      for a discount of 2% for customers who previously took 90 days to pay, now paying in 30 days.
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