Here are some simple numbers I did on the Bush plan. Since the government keeps the principal of a private account as well as the first three percentage points of returns (compounded), you have to make a high enough return OVER three percent to recoup your original investment. From the numbers here, looks like the breakeven over 40 yers is about 4.8%:
Value of Private Account Under Bush Plan
2/3/2005
Nominal Threshold
Year Contrib Cumulative %Return Fees GrValue % Value Net Value
1 1,000 1,000 4.8% $20 1,028 3% 1,030 -
2 1,000 2,000 4.8% $20 2,105 3% 2,091 14
3 1,000 3,000 4.8% $20 3,234 3% 3,184 51
4 1,000 4,000 4.8% $20 4,418 3% 4,309 109
5 1,000 5,000 4.8% $20 5,658 3% 5,468 189
6 1,000 6,000 4.8% $20 6,957 3% 6,662 295
7 1,000 7,000 4.8% $20 8,319 3% 7,892 427
8 1,000 8,000 4.8% $20 9,747 3% 9,159 587
9 1,000 9,000 4.8% $20 11,242 3% 10,464 778
10 1,000 10,000 4.8% $20 12,810 3% 11,808 1,002
37 1,000 37,000 4.8% $20 99,956 3% 68,159 31,796
38 1,000 38,000 4.8% $20 105,781 3% 71,234 34,547
39 1,000 39,000 4.8% $20 111,887 3% 74,401 37,486
40 1,000 40,000 4.8% $20 $118,286 3% 77,663 $40,622
I wanted to put the spreadsheet up, but freespaces.com is locking me out. (PM me if you'd like a copy to look at.) The formulae are not exact (eg, returns are calcuated end-of-year rather than mid-year), but the basic picture should be the same.
The most important thing is that EVEN if you make 4.8% for 40 years, you get zero return -- you might as well keep your money in a mattress. Since the funds will mix stocks and bonds and be conservative, it is extremely likely that they will underperform that amount and the accountholder will have all their investment wiped out.
Please tell me where I'm wrong