A 65-year-old man intends to use his retirement funds to purchase an annuity from a life insurance company. Given the amount of money the man has available to invest, the insurance company is able to offer two alternatives. The first option is to receive $3,212 each month for as long as he lives; the second option is to receive $4,030 each month, but for only 20 years (payments will be made to his estate if he should die before that time). The relevant interest rate is 6 percent per year monthly compounding. How long must the man live so that the first option is a better deal? (Round answers to 0 decimal places, e.g. 25. Do not round your intermediate calculations.) Man must live for years