In: Finance
Joe Smith, age 75, from Vienna, IL has the winning Powerball lottery numbers which will pay out $13 million at the beginning of each of the next 30 years (reported prize of $390 million). Before claiming his prize, Trusty Insurance Company offers Joe $200 million today in exchange for his winning lottery ticket and prize payout. What rate of return would Trusty Insurance earn if Joe accepts their offer?
| Amount to be paid today as winning amount | 200 | |||||
| Divide: Annual amount to be paid for 30 years | 13 | |||||
| Annuity PVF for 30 years | 15.384615 | |||||
| Rate at which this annuity PVF occur | 4.99% | |||||
| Thus, rate of return earned on acceptance is 4.99% | ||||||