In my personal opinion, when calculating TVM, it doesn’t really matter whether you have -PV or -FV. That’s just how the calculator works. Just make sure they are not both the same sign, otherwise you’ll get an error.
@Channing_cox has said it already but on those calculation I think of it as a transaction. The PV is what you pay so on a balance sheet its a negative. The FV is your return so on a balance sheet it would be positive.
From the other side if PV was positive then it would be money you are receiving ie a loan and the FV would be negative because you would have to pay it back with interest.
bc the fv will be withdrawn from the fund so that John Smith could then use it for retirement.
look at the calc equation from the perspective of the inflows and outflows of money into the investment, not from the perspective of inflows and outflows to Mr. Smith