3) (13 marks) You are given i = 5% and the following values: SEX 10Ex 20EX x:10 45 0.35994 50 0.60182 0.34824 55 0.77382 0.59342 0.32819 600.00340 0.76687 0.57864 0.29508 61 0.00379 62 0.00423 17.8162 17.0245 16.0599 14.9041 8.0751 8.0550 8.0192 7.9555 a) (4 marks) A person aged 63 purchases a whole life annuity paying $24,000 at the end of each year. What is the net single premium (NSP) of this annuity? b) (2 marks) A person aged 50 purchases a 20-year temporary life annuity paying $10,000 at the beginning of each year. What is the NSP of this annuity? c) (3 marks) A person aged 55 pays $500,000 to purchase a whole life annuity that pays $R at the beginning of each year. The first 5 payments are guaranteed. Calculate $R. d) (4 marks) Calculate 10,000 a 5:10 3) (13 marks) You are given i = 5% and the following values: SEX 10Ex 20EX x:10 45 0.35994 50 0.60182 0.34824 55 0.77382 0.59342 0.32819 600.00340 0.76687 0.57864 0.29508 61 0.00379 62 0.00423 17.8162 17.0245 16.0599 14.9041 8.0751 8.0550 8.0192 7.9555 a) (4 marks) A person aged 63 purchases a whole life annuity paying $24,000 at the end of each year. What is the net single premium (NSP) of this annuity? b) (2 marks) A person aged 50 purchases a 20-year temporary life annuity paying $10,000 at the beginning of each year. What is the NSP of this annuity? c) (3 marks) A person aged 55 pays $500,000 to purchase a whole life annuity that pays $R at the beginning of each year. The first 5 payments are guaranteed. Calculate $R. d) (4 marks) Calculate 10,000 a 5:10