Synthetic Positions

The question is 8 on page 267 of CFAI

The given statement is to create a synthetic cash position by converting equity position to cash.

To find number of contracts required

The way they have solved it is as though we are adjusting the allocation of our portfolio so the formula used is

(Beta T. - Beta P.)/beta f *VP/pf

Given that the statement sense create synthetic cash position shouldn’t we be solving this as a synthetic position question

Is there a misinterpretation on my part or could this b a genuine mistake

Thx in advance