Option 1 is better, as long as you start early and make the additional payments regularly.
Option 2 is not a good idea because the longer you wait to start the more interest you have already spent because the interest portion of your payment is very large in the early years.
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if 1st approach is followed, does it have any impact on the required monthly mortgage payment in terms of how much is applied toward principal and how much is applied toward interest?
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Yes, it does, very much so.
Here's an amortization calculator you can use to run the numbers and generate a payment schedule showing how each month works.
Mortgage/Loan Calculator with Amortization Schedule
There are those who will tell you to invest your money instead of paying down the mortgage. Those people have been awfully quiet lately since the stock market crashed.
Investing is a crap shoot.
Paying off your house is a sure thing.