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Pay down mortgage, or invest? Compounding in reverse.

March 6th, 2007 at 06:43 am

There are 2-3 threads going with pay down mortgage or investing... and when it "makes sense" to pay down mortgage.

All calculations were done with a spreadsheet downloaded from microsoft. I modified sheet, some, but all this could be done with standard sheet and somewhere to write down if then answers.

Issue #1, being debt free has a psychological value, and this post is not meant to demean, replace, or suggest what that value is.

Issue #2, paying down a mortgage is "risk free" rate of return. Whatever loan rate is (5%, 5.75%, 6%) is the lowest risk investment you have, assuming savings accounts, T Bills and other fixed income securities yield less than the interest rate on mortgage.

The numbers

100k mortgage, 6% interest rate. Payment is $599.55. First month is $99.55 principal and $500 interest. Total 30 yr interest payment is $115,838.19. Loan repyament period is 360 months (30 yr fixed).

Situation 1. pay extra $50 each month. Overall interest reduced to $91,268 (saved about 14k), repayment period shrunk to 295 months (saved 65 months*599.55=38970.75 of loan payments.

Total extra payment was 295*50=$14750.

situation cost $14750 over 295 months to save $63,540 over 65 months.

situation 2. Pay $100 extra per month for first 10 years. Overall interest reduced to $82,974.02 (saved $32864). Repayment period shrunk to 286 months (9 months shorter than above). Saved 74 months*599.55=$44,366.70 in payments.

Total extra payment was 120*100=$12,000 (2750 less than situation above).

situation cost $12000 over 120 months to save $77230 over 74 months.

Meaning the extra payments were fewer, cost you less out of pocket, and saved you more money. This is because these payments were applied eariler in loan period. Early repayments count more than later repayments.

situation 3. Person pays $200/month starting in year 20. overall interest paid is $109,846 (27k more than previous situation, 6k less than standard 30 yr fixed). repayment period shrunk to 323 months. This is nearly 40 months more than previous situation.

The extra payment in situation 3 was $16,800 (the highest of the 3 situations). Because the extra was paid at the end of the loan, it did not "compound" in reverse as much as lower payments applied earlier.

15 Responses to “Pay down mortgage, or invest? Compounding in reverse.”

  1. homebody Says:

    Great info I can use! Thanks.

  2. Ima saver Says:

    The earlier you start the better. I paid my home off early because at the time, I did not know any other method of investing other than savings accounts. Back then, my mortgage rate was 9% and I was getting 5-6% on my savings.

  3. jIM_Ohio Says:

    9% mortgage makes sense to pay down... I doubt too many investors could "guarantee" a 9% return.

  4. crabbypatty Says:

    This is the type of explanation that I was looking for in my thread. Thanks for breaking it down.

  5. Marilyn Lewis Says:

    Thanks, I can use this info.

  6. widdowsonh Says:

    this is great information and instead of refi I will
    continue paying extra on my home equity loan

  7. lisa Says:


    How do I know what formula to apply to my mortage? How much extra should I being paying to reduce my mortgage debt?

  8. jIM_Ohio Says:

    Lisa-

    I don't know the formula, but there are online calculators which can be used. On Microsoft's web site there are ammortization tables you can download (in excel format).

    You plug in your interest rate, loan amount and period (15 year/30 year) and the spreadsheet will calculated every payment.

    There is a spot on the spreadsheet for extra payments as well.

    As to pay down the mortgage, or not, that is a personal decision. Right now I hold a 30 year fixed first at 5.75% which I am not paying down, and a 30 year fiexed second at 7.5% which paying down is on my list of things to do, but I have not started doing yet.

    Make sure your emergency fund has 6 months expenses in it. Make sure you are setting aside 15% for retirement. Then consider paying down the mortgage.

  9. karroll Says:

    thanx for all comments, saves me from spending $$ to find out that i've been doing the right thing all along. Even though many say do not payoff so as to not loose tax deduction, I've always known paying off was much more valuable to me mentally and what I was taught growing up. Weighing deduction vs mortgage financial freedom doesn't compare in my book.

  10. Tracyann Waters Says:

    I just bought a home this Dec. 08 and my first payment was Feb 09. My house was bought for $115,000 and my payments are $781.00 a month. Thats princapl, interest and insurance,on a 5.8% for 30 years fixed. I am a disable Vet. and in florida i am excempt 100% from property taxes. My payments are set up as auto pay from my checking account. How do i get started? Do i just mail a extra $100.00 by check to the mortage company and what do i tell them?

  11. ROBERT VINES Says:

    thanks for the good info

  12. jIM_Ohio Says:

    Tracyann- sorry for not replying sooner... I would send the extra with normal payment and mention you want extra applied to princpal in memo of check.

    If using ACH, verify how extra funds are used (pay next month or pay down principal). I have not seen a bank ever do anything other than pay down principal, but there is a first time for everything.

  13. derrick Says:

    why doesnt the extra money paid in the loan default to interest side of the loan???

  14. jeremy Says:

    derrick

    I think your asking why the extra amount you pay over your scheduled payment is applied towards the Principal and not the Interest. Think of it this way, when you have a 200k loan at 6%, your interest payment for the first month would be $1000, but your scheduled loan payment is 1199 for 30 years. The "extra" 199 is applied towards principal, and now you owe 199,801. Now if you make a payment of 1500, your interest payment is still $1000 for the first month, so $500 will be applied to the principal, and now you will owe 199,500. The bank may let you chose to apply the extra amount to the next months payment, but basically you are just giving the bank an interest free loan for a month, and why would you want to do that?

  15. Diane Says:

    I have been making 2 payments a month, on the 1st and the 15th.
    Or would it be better to make a regular payment and on the 15th make for princlple only?

    Diane

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