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You plan to retire in exactly 2 0 years. Your goal is to create a fund that will allow you to receive N$ 4 0

You plan to retire in exactly 20 years. Your goal is to create a fund that will allow you to receive N$400000 at the end of each year for the 30 years between retirement and death (you have estimated your death according to life mortality tables used by insurance companies). You know that you will be able to earn 11% per year during the 30-year retirement period.
(a) How large a fund will you need when you retire in 20 years in order to provide the 30-year N$400000 per year retirement annuity? (6 marks)
(b) How much would you need to provide today as a single amount to the fund as calculated in (a) if you earn only 9% per year during the 20 years before retirement? (6 marks)

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