BONUS You have won the lottery. $250 million was the grand prize which will be paid in equal installments over the next 25 years (so 25 payments of $10 million per year, starting today). You also have the option to take a lump sum immediately which will be calculated based on the above payout using a discount rate of 6%. Assume that you have to pay a 50% tax on your prize, what is your resulting payout (after tax)? Hint: Calculate the PV of the annuity due then multiply by 0.50 (that will give you the after-tax lump sum)