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Need formula help to create a tiered interest loan worksheet!

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    Lightbulb Need formula help to create a tiered interest loan worksheet!

    Hi,

    I'm working on creating a worksheet that calculates a tiered interest rate on a one year loan and could use some help. I've attached a worksheet - I'm not sure how to build a formula that recognizes and applies the correct interest rate for each tier of the balance.

    mana2012-Example-01.xlsx

    I can work this out manually on paper but it's taking forever. I've done some reading and it seems I'll need to use multiple logic tests and possibly the sumproduct formula as well. Would anyone be willing to give me a little assistance? I'd truly appreciate it

    Thanks!!

    Jayson

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    Re: Need formula help to create a tiered interest loan worksheet!

    Looking at your spreadsheet, the rate goes up as the balance goes down. Is this correct? Or is the rate based upon the original balance?

    I think I got it. Insert a new column at F. In F11, type this formula and copy it down. =VLOOKUP(D11,$B$5:$C$7,2) Format as percent. Use that rate in your interest calculation. Change B5,B6 and B7 to read 0, 1400, 1401.01, respectively.
    Alan
    Last edited by alansidman; 01-10-2013 at 06:24 PM.
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    Re: Need formula help to create a tiered interest loan worksheet!

    I don't think I clearly communicated what I'm trying to do in my first post or on my worksheet

    I'm trying to build a formula that applies a different interest rate to certain portions of a balance due on an installment loan... For example, if I have a loan with a starting balance of $1600 - the $0 to $700 portion of the balance has an interest rate of 22%, the $700.01 to 1400.00 portion of the balance has an interest rate of 18%, the $1400.01 + portion of the balance has an interest rate of 15%. The interest will be compounded daily.

    There will be some loans that have balances that do not use the second or third tier... for example, a $250 loan will just have a rate of 22% for the life of the loan. A $800 loan will have $700 at 22% and $100 at 18%. Is this making sense?

    I'm trying to build the formula to recognize the outstanding balance on the loan and apply the appropriate rates of interest to the appropriate portions of the balance and remaining balance in later payments.

    Hopefully this clarifies what I'm talking about. Thanks for the help!

    -Jayson
    Last edited by mana2012; 01-10-2013 at 11:16 PM. Reason: Clarificarion

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    Forum Moderator alansidman's Avatar
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    Re: Need formula help to create a tiered interest loan worksheet!

    I think if you use this formula, it should provide you with what you are looking for. Paste it into F11 in your original file and copy down.

    =IF(D11<=700,D11*($C$5/360)*C11,IF(AND(D11>700,D11<=1400),(700*($C$5/360)*C11)+((D11-700)*($C$6/360)*C11),(700*($C$5/360)*C11)+((D11-700)*($C$6/360)*C11)+((D11-1400)*($C$7/360)*C11)))

    I assumed a calendar of 360 days. If you use 365, then change accordingly.

    Alan

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    Re: Need formula help to create a tiered interest loan worksheet!

    Alan,

    First of all, thank you for the help!!! We're defiantly on the right track!

    I've copied the formula you wrote to the worksheet and it's not returning any errors but the interest due it's calculating is much lower than what I calculated manually (see attached worksheet). I've revised my example spreadsheet with the *old* manual formula I'm currently using to calculate and verify customers loan payments. Can you take another look at these and see were the adjustment needs to be made?

    I truly appreciate your time!

    -Jayson

    mana2012-Example-02.xlsx

    Mana2012-Manual-Work.pdf

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    Re: Need formula help to create a tiered interest loan worksheet!

    Jayson, are your interest rates annual rates or monthly rates. I had assumed that they were annual rates. That will be part of the difference. It just dawned on me that this is probably for a Pay Day Loan operation that has higher than normal interest rates.

    Alan

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    Re: Need formula help to create a tiered interest loan worksheet!

    Alan,

    Yes, these are monthly rates. And you're correct, I'm developing the sheet to verify title loans based on VA title lending rates (very similar to payday). I've tweaked the formula a little in the past few min:

    =IF(D13<=700,((D13*2.64)*C13/365),IF(AND(D13>700,D13<=1400),((700*2.64)*C13/365)+(((D13-700)*2.16)*C13/365),(((700*2.64)*C13/365)+(((D13-700)*2.16)*C13/365)+(((D13-1400)*1.8)*C13/365))))

    I'm getting a result of ~ $511 which is a little high. Could the problem be with the final logic test's "value if false"? I'm thinking D13-700 could possibly produce an amount over $700 and allow some of the balance to be charged interest twice.

    Really appreciate the help!

    -Jayson

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    Re: Need formula help to create a tiered interest loan worksheet!

    Ok, I've tested my theory a few more time and I think I've found the problem - It looks like the "D13-700" will result in a value greater than $700 if the balance is over $1400, therefore allowing interest to be charged twice on a portion of the balance. How can I adjust the formula to limit that tier to the portion of the balance that's greater than $700 (if any) but nothing more than $1400 (if any). Anything over $1400 is being caculated correctly by the later part of the formula.

    =IF(D13<=700,((D13*2.64)*C13/365),IF(AND(D13>700,D13<=1400),((700*2.64)*C13/365)+(((D13-700)*2.16)*C13/365),(((700*2.64)*C13/365)+(((D13-700)*2.16)*C13/365)+(((D13-1400)*1.8)*C13/365))))

    I'm thinking I'll need another logic test... something like IF(AND.... but I can't seem to get it right on my own.

    Any help would be appreciated!

    -Jayson

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    Re: Need formula help to create a tiered interest loan worksheet!

    Changing the D13-700 to 700 makes the values in F11 and F12 agree with your calculations.

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    Re: Need formula help to create a tiered interest loan worksheet!

    Yes, I did that and found the results were correct. However, if the balance is over $700, but under $1400 the number in that cell will not be 700. I've played with it more and came up with the following:

    =IF(D16<=700,((D16*2.64)*C16/365),IF(AND(D16>700,D16<=1400),((700*2.64)*C16/365)+(((D16-700)*2.16)*C16/365),(((700*2.64)*C16/365)+(((MIN(D16-700,700)*2.16)*C16/365)+(((D16-1400)*1.8)*C16/365)))))

    So far, it's working. Do you see any shortcomings to my formula for that part?

    Thanks for the help!

    -Jayson

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    Re: Need formula help to create a tiered interest loan worksheet!

    I think you have it. Good show figuring it out. I was absolutely drawing a blank on that part. Senioritis I figure or just maybe because its Friday.

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    Re: Need formula help to create a tiered interest loan worksheet!

    Yes, I've tested it a few more times and it seems to be working for different loan amounts. Thanks for the help, Alan. Couldn't have done this without your formula!

    Take care,
    Jayson

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