QUOTE (Andy the Actuary @ Sep 26 2009, 12:06 PM)

This question raises the periferal question: Suppose plan specifies actuarial equivalence as pre-retirement 6.00% and no mortality and post as 1983GAM and 5.00%. Forget about 415. Suppose plan says that NRA is 65 but can retire early at 55. How do you calculate reduction at 55?
(a) a65(5%)/1.05^5/a55(5%)
(b) a65(5%)/1.06^5/a55(6%)
(c) a65/(5%)/1.06^5/a55(5%)
My vote has always been (c). Breaking the calculation into two pieces, we'd first ask, what is the present value of the pension. Ans: a65(5%)/1.06^5. Now, to convert this present value to an immediate pension, we would divide by a55(5%).
Any other arguments?
How about a comment or two:
1) peripheral
2) ^10
Other than that, it is still an open question as to whether the pre-retirement interest rate or the post-retirement interest rate should be used in discounting from retirement age to early retirement age when dealing solely with actuarial equivalence.
I would say (b) is silly because you are using 6% in a post-retirement sense and nothing in your description would allow that.
Which leaves us with (a) versus (c) and I think that most with go with (c). I certainly do. However, I've seen some that argue (a) and with a contemporaneous SPD that gives an example that matches up to (a) I don't think a participant would be successful challenging it. But, I suppose, one never knows.