Amortization Schedule With Variable Rates

Note: I have updated this post with more options.

See Variable Rate Amortization – Day/Year Count & Last Payment Options.

Have you ever wanted an amortization schedule where you can set the rate for one term and then change the rate for another term, and change the rate and term a total of six times? If you have, try the workbook “AmortizationChangeRate”. As usual the yellow cells are input cells. The example below shows a $135,000 loan at 2% for the first 6 months, 3% for the next 6 months and 4% for the last six months.  The payment changes each time the rate changes. There is also a column for extra payments.

At the bottom of the input rates is the average weighted rate. In this case 3.00%. Making a loan at 3% for the full 18 months is not the same as this variable rate structure. The present value of the payments for an 18 month, 3% loan discounted at 3% would be $135,000, just as you would expect. This loan structure discounted at 3% is $134,550.90. If we change the structure from 6 month terms to 90 day terms and left the rates the same, the present value difference discounted at 3% is $128,339.81 vs. $135,000.

This might come in handy when considering restructuring a loan to see the changes in present value.

Download workbook “AmortizationChangeRate” from:

http://www.pistulka.com/Excel_Shared/

Downloads Written in Excel 2013

 

 

Don Pistulka
Don Pistulka

Retired Credit Union CFO - Finance
Background: over 40 years in investments, asset/Liability management, banking, securities trader.
Worked for: California Credit Union, WesCorp, CalFed S&L, Crocker Bank, Carroll McEntee, Federal Home Loan Bank Board (D.C.), Western Asset Management, Security Pacific National Bank.

19 Comments

  1. Hi Don.

    Very informative and useful spreadsheet. Do you perhaps have the amortization schedule with both variable interest rate and extra payments template?. I would like to check how many months i can shave-off my mortgage by making random extra payments. My interest rate various from time to time.

  2. Hi Don (with due respect)
    I have one loan restructuring model in excel given by one global consultant
    I am sorry I can not share but would like to understand certain details of it
    as follow
    Question 1
    Type Of Grace Period (What is the definition of the following options)
    a.Complete Exemption
    b. Interest Only
    c.Temporary Reduction
    d.No Grace Period
    Question 2
    How is loan restructuring done for tiered interest rates

    1. Sachin,
      I am going to send you a copy of my TDR (Troubled Debt Restructuring) model. I will try to answer your question, however the loan market in India may have different definitions than the U.S. markets.

      Don

  3. Hi don,
    Really impressive spreadsheets. I’m hoping you can help me with some calculations. I am trying to forecast annual collection rates based on actual historical 10 year annual collection rates. Right now we require a 50% down payment and I’m trying to calculate what the annual collection rate percentages would be if we change to 25% down payment weighted using the same annual collection rates. I need to display the APR by year and the cum total. Could you help me with this calculation? I have worked on it for 2 long and cant get it to add up to 100% collection at the end of year 10. Thanks

  4. Hello Don,

    Not sure if my first comment was submitted so I am re-submitting. I have a loan that has variable monthly payments and variable interest rate throughout the year. I have no idea how to track how much I still owe. Any advice would be greatly appreciated.

    Thank you,
    Kerry

  5. Hello Don,

    What you do is amazing. I have loan in which the monthly payments may change and well as sometimes the interest rate changes. I am trying to figure out how to calculate how much I currently owe. Do you have a spreadsheet that could do this type of calculation for me?

    I would appreciate any help you could provide,
    Thank you,
    Kerry

  6. Hi Don,
    Thank you very much for your spreadsheets online.
    Perhaps you could help me wit a small change on your sheet: AmortzationChangeRate.xlsx.

    My situation:
    We are 2 persons about to buy property. We will be paying money into a joint account for the mortgage. We plan to make extra paymens when we have the money to do so.
    The mortgage will be a variable rate over 40 years, and according to the advisor, the payments will always stay the same, but the term (years) will decrease when we make extra payments.
    I need to make it fair for both of us, so the whoever pays more into his own share, the more interest would be saved on his account.

    1) Is it possible to change the sheet to choose if you want to reduce the (a) Term, or (b) The monthly amount.
    2) Is it possible to have more rows for the interest rate, as it might change quite a lot over 40 years.
    3) Is it possible to have a tab to show “Years saved off original loan term”?

    I saw another calculator which also would have worked IF it was possible to select different interest rates. See mortgagecalculator.org

    Thank you for any help!

  7. this spreadsheet is awesome and exactly what i was looking for! thank you for providing. would you be so kind to let me know how i could adjust for a 10 year length please?

  8. this spreadsheet is awesome and exactly what i was looking for! how can i make this for a 10 year loan term please?

    1. Molli,
      Are you looking to change the rate more than 6 times during the life of the loan or less than six times? For 6 times or less just make sure that cell G9 (Total Months) equals 120. See attachment. Let me know if that works for you.
      Don

  9. Do the methodology and excell sheet can be used for FRN instrument ?
    Thanks..

    1. Niko,
      The basic methodology would work for calculating the internal rate of return, however the payment schedule would need to be changed to quarterly from monthly. The IRR function would also need to be changed to quarterly. The principal paydown would most likely need to be set to zero. In addition, the number of rate changes would probably be needed to be increased.The note’s interest would also need to be based on a 30/360 day count.
      You would be better off just using the variable rate concept, and building your own spreadsheet from scratch.

      Don

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