Kindly include all the formulas you use to solve each question.

3) (13 marks) You are given i = 5% and the following values: x 9x 5EX 10 Ex 20EX r 101 X 45 50 55 60 61 62 0.35994 0.34824 0.32819 0.29508 0.60182 0.59342 0.57864 17.8162 17.0245 16.0599 14.9041 8.0751 8.0550 8.0192 7.9555 0.77382 0.76687 0.00340 0.00379 0.00423 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 45:10 3) (13 marks) You are given i = 5% and the following values: x 9x 5EX 10 Ex 20EX r 101 X 45 50 55 60 61 62 0.35994 0.34824 0.32819 0.29508 0.60182 0.59342 0.57864 17.8162 17.0245 16.0599 14.9041 8.0751 8.0550 8.0192 7.9555 0.77382 0.76687 0.00340 0.00379 0.00423 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 45:10