Replacing social Security would provide what benefits.?

I want to elimingate SS and I ask what would apersons retirement benefit be if:
over 40 years you earned an average salary of 30,000 per year. You invested in a fund at 6% and your employer matched at 6%. Your investment earns at 5% per year. How much would you amass in your fund, and how much could you draw with out depleting principal when you retire.
I am looking for of course the power of compounding and what the government is stealing form SS recipitants due to loss of compounding. Because they are currently spending the fund. Would the average citizen be better off with a system similar to FERS(federal employees retirement system) than Social security. This is similar to a ? I previously asked but the answers missed the boat.

the first answer was super but i would like to add just a few points

ok we go your route you work another two years and you get sick and can not work again -- where to you go for help do not say ss disability because you did await with it.

you finally do make it to the magic age of 65 and than you should die but not you live on and on and on with all kinds o major i mean major hospitals bills upward to 300k or so where do you go to get help do not say ss medicare you just did away with it

and not you are about 80 or so and you need a nursing home but you can not afford it where do you go for help do not say ss because you did away with it = i am not saying it is perfect but your plan just have to many holes in it.

Looks like you are answering two things. First, what would the final fund balance be after X numbers of years. I have provided the link to a simple, but quite usable compounding calculator.

Second question. Would the average citizen be better off with a system like FERS rather then SS?
Federal Employee Retirement System is more of a 401(k) then a replacement for Social Security. FERS employees pay into Social Security just like everyone else. If you choose not to invest anything in the Thrift Savings Plan (they actual 401(k) like part of FERS) then you get to retire on Social Security and a small percentage of your average pay.

So the answer is No, the average citizen would not be better off under FERS then the would with Social Security and other retirement investments. (IRA, 401(k), Keogh, etc...)