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- 2011-7-11
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5#
发表于 2011-7-11 19:20
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CP, I realize it was strange of me to give the formula in such a way that makes a negative value an asset, and a positive value a liability, but that's how they did it in the example. Hendriar14 has put it in terms of a positive being an asset, but he had the signs wrong on it unfortunately, which is my dilemma; it seems more right the way he's put it, but the text says otherwise. Here's the same formula to solve having a positive be an asset, and a negative be a liability:
Fair value of Plan Assets
– Unrecognized actuarial gains (or plus losses)
+ unrecognized past service cost
+ unrecognized transition (assets) or liabilites
– Defined Benefit Obligation
= Defined Benefit Asset (negative value is a liability)
So in my example, world 1 (high service cost) still gives:
50 + 700 – 500 = $250 Asset (overfunded position)
and world two
50 + 25 – 500 = -$425 Liability (underfunded position)
note that I made a mistake when I calculated world 2 in my initial post, the figure for the net underfunded position should have been a liability of 425, not 375, idk why I thought $500 - 25 - 50 = $375, it's not, it's 425 (ie liability of 425)
To see more specifically what I'm talking about, look at examples one and two on pages 199-201 of the CFAI readings (reading 24).
here are the figures for example 1:
DBO = 5485
unrec. transition liability = 50
unrec. actuarial losses = 59
unrecognised past service cost = 70
fair value of plan assets = 5798
they solve for a liability as a positive value, asset value as negative, but I'll do it so that an asset is positive here:
Fair value of Plan Assets 5798
– Unrecognized actuarial gains (or plus losses) +59
+ unrecognized past service cost +70
+ unrecognized transition (assets) or liabilites +50
– Defined Benefit Obligation -5485
= Defined Benefit Asset (negative value is a liability) =492 Asset
They are clearly showing that having more unrecognized costs/losses makes the fund's asset position greater (or liability position smaller) which seems counter intuitive to me.
If anyone understands that and can explain it, I'm all ears! for now, i'm gonna go robot on the formula! |
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