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Calculating interest rates when compounding period differs from payment frequency

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    Calculating interest rates when compounding period differs from payment frequency

    Can anyone tell me if there is a way in Excel to calculate an interest rate (using the Financial "Rate" function) when the compounding frequency is different from the payment frequency? From what I gather, Excel always assumes that the compound period and the payment period are the same (i.e., monthly compounding for monthly billing, quarterly compounding for quarterly billing, etc.). I would like to solve for an interest rate that uses quarterly payments but monthly compounding. Does anyone know if this possible?

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    Re: Calculating interest rates when compounding period differs from payment frequency

    images (1).png
    Use this formula..

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    Re: Calculating interest rates when compounding period differs from payment frequency

    ..........
    Last edited by ExcelAnas; 03-06-2022 at 07:52 AM.

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    Re: Calculating interest rates when compounding period differs from payment frequency

    @Bob.... The answer is "maybe".

    First, as with most questions, quicker and more constructive answers come if you post concretes examples.

    Ideally, attach an example Excel filie, as explained in the bright yellow banner at the top of the webpage (hard to miss, eh?).

    But at a minimum, post numbers (with sufficient precision) and formulas, ideally identifying their cell references.

    Second, we might need to know how an annual rate is coverted to a sub-annual rate.

    For example, if the annual rate is 12%, is the monthly rate 12%/12, or is it (1+12%)^(1/12) - 1?

    (And then there's Canada. Sigh.)

    Careful: terminology in the lending industry can be misleading. They might refer to "compounded interest", but that does not necessarily mean that the periodic interest rate is compounded.

    If the monthly rate is 12%/12 (1%), compounded, the quarterly rate is (1+12%/12)^3 - 1.

    (Of course, if you know the monthly rate, regardless of how it is calculated, simply substitute it for 12%/12).

    If the monthly rate is (1+12%)^(1/12) - 1, compounded, the quarterly rate is (1+12%)^(3/12) - 1.
    Last edited by curiouscat408; 02-28-2022 at 12:15 PM.

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    Re: Calculating interest rates when compounding period differs from payment frequency

    Guys, thanks for the input on this, but perhaps you missed that this thread is almost 17 years old? I doubt the OP is still waiting for the answer.
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    Re: Calculating interest rates when compounding period differs from payment frequency

    Quote Originally Posted by FDibbins View Post
    Guys, thanks for the input on this, but perhaps you missed that this thread is almost 17 years old? I doubt the OP is still waiting for the answer.
    Indeed! If he has been waiting 17 years then I dread to think how much compound interest he may have foregone in the meantime.
    Richard Buttrey

    RIP - d. 06/10/2022

    If any of the responses have helped then please consider rating them by clicking the small star icon below the post.

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    Re: Calculating interest rates when compounding period differs from payment frequency

    Quote Originally Posted by Richard Buttrey View Post
    Indeed! If he has been waiting 17 years then I dread to think how much compound interest he may have foregone in the meantime.
    Not to mention the amount of cobwebs accumulated between the floor, table and his chin? LOL
    Dave

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    Re: Calculating interest rates when compounding period differs from payment frequency

    Quote Originally Posted by FDibbins View Post
    perhaps you missed that this thread is almost 17 years old?
    Mea culpa! I saw the first response today and did not pay attention to the date of the OP. Tunnel vision!

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    Re: Calculating interest rates when compounding period differs from payment frequency

    No harm. I think we've all done it at one time or another. I know I have.

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