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Well, I think it's a simple answer.
I don't know what assumptions you used for investment income, which no matter what you used is subject to some degree of risk.
Paying down your mortgage with the lump sum payment should be the best alternative. It's investing in a guaranteed Certificate of Deposit compounded at the rate that you are paying on your existing mortgage. You will be paying substantially more principal if you continue your payments at the same level (which would normally be required).
The only other alternative I would consider would depend upon your existing mortgage rate & if it is above the current market rate by at least 1/2 of 1%, I would consider refinancing, to get a better rate.
If you give me your investment assumptions & what your investment plans would be as well as what your existing mortgage rate is (hopefully fixed) I may be able to fine tune my comments.
However, it would be unusual to have anything but using the lump sum payment to pay down your mortgage principal being the best alternative.
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Thanks very much,