You just won the lottery!! You need to pick between annual payments of $$25,000$ paid at the end of each year for $10$ years, or a lump$-$sum payment of $$200,000$ right now. You know you could get a $3\%$ interest rate on a safe money market account if you took the lump sum payment. What should you do$?$

Select answer from the options below

Take the $$200,000$ lump sum payment, invest it$,$ then search for higher$-$earning investments once you have received it$.$

Take the lump sum of $$200,000$ and invest it and you will have $$268,783\mathrm{.}28$ in $10$ years, which is more than the $$250,000$ you would get in payments.

Take the annual payments of $$25,000$ and invest them in your money market account because the present value of those payments at $3\%$ is $$213,255\mathrm{.}07,$ which is more than the $$200,000$ lump sum payment.

Turn down the win, since it will throw you into a higher tax bracket, so it isn$$t worth it$.$