Money duration and PV01

CFA Level III Fixed Income
#1

Fixed income CFA Q-bank question
I thought Money duration and PV01 is the same.
Money duration : Market value * Modified duration /100
PV01 = BPV = PVBP : Market value * Modified duration /10,000

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In this question, if you calculate money duration, the asset and the liability have the same money duration. But as you can see in the table, their PV01 do not match.

I can’t understand what’s happening here…
Is my understanding of above two concepts are wrong? :frowning:

#3

Money duration = MV * modified duration
PV01 = money duration / 10000

I think this question is wrong in that the PV01 is not equal to money duration / 10000. And you can say the money duration does not match for assets and liabilities because the PV01 is different. Perhaps when the author was making up the numbers he/she forgot to consider PV01.