Assume that a person buys 10 $3 lottery tickets once a week, 52 weeks per year from the time he or she is 31 until age 70 (40 years), and loses every single time, as one should expect. What amount of money would that person need to have today to pay for all of those lottery tickets? Assume a discount rate of 5% per year, and assume all costs are incurred at the end of the year (i.e., annual compounding)