Hi, I have an exercise in an Assignment for ACTU 256 (MATHS OF FINANCE) and I seek a solution for it. Here's the question:

Assume a nominal interest rate i compounded semiannually. It is known that the present value today of the following two payments: X made 2n years from now and X² made 4n years from now is 90 000. Calculate the accumulated value at time 8n years from now of an amount of X^-4 invested today.

That's the entirety of the question, there's not more to it.

Thank you!