Question
John, who has just turned 30 years old, wants to set up a do-it-yourself pension fund by making deposits to a bank account attracting interest
John, who has just turned 30 years old, wants to set up a do-it-yourself pension fund by making deposits to a bank account attracting interest at 3% com- pounded monthly. The fund should enable John to withdraw 10 000 kr per month for 10 years, from the month he turns 65 years old.
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(A) What is the present value of the future withdrawals from the bank ac- count?
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(B) To ensure that he has enough money in the bank account to cover these future withdrawals, John wants to deposit a fixed amount each month, starting now, until one month before his 65th birthday. What amount should he deposit each month?
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