time value of money

A client plans to retire in 15 years and will need to withdraw $50,000 from his retirement account each year for 10 years, beginning on the day he retires. After that, he will need to withdraw $20,000 per year for 25 years. The account returns 4% annually. The amount he needs to have in the account on the day he retires is closest to:

A. $580,000

B. $640,000

C. $655,000

Unfortunately, myBA2+ is at the office. But here are the keystrokes so you can work it out:

Using the cash flow register:

CF0=50,000; (NOTE: This must be CF0, since it’s immediate)

C01=50,000 F01 = 9; (NOTE: there are 10 cash flows of $50,000, but we acounted for the first one as CF0)

C02=20,000; F02=25;

NPV@4% = ??=

NOTE: corrected a typo so that folks wouldn’t get confused - initially I had put C01=15,000. It should have been CO1=50,000.

small correction

C01=50,000 F01 = 9; (NOTE: there are 10 cash flows of $50,000, but we acounted for the first one as CF0)

gives 641283 …

ans (b)

thanks so much. you really simplified it. made it so easy. was a real headache this one.

Glad to help.