You are trying to decide how much to save for retirement. Assume you plan to save

$6,000

per year with the first investment made one year from now. You think you can earn

10.5%

per year on your investments and you plan to retire in

27

years, immediately after making your last

$6,000

investment.

a. How much will you have in your retirement account on the day you retire?

b. If, instead of investing

$6,000

per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be?c. If you hope to live for

24

years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the

24th

withdrawal (assume your savings will continue to earn

10.5%

in retirement)?d. If, instead, you decide to withdraw

$158,000

per year in retirement (again with the first withdrawal one year after retiring), how many years will it take until you exhaust your savings? (Use trial-and-error, a financial calculator: solve for "N", or Excel: function NPER)e. Assuming the most you can afford to save is

$1,200

per year, but you want to retire with

$1,000,000

in your investment account, how high of a return do you need to earn on your investments? (Use trial-and-error, a financial calculator: solve for the interest rate, or Excel: function RATE)

Question content area bottom

Part 1

a. How much will you have in your retirement account on the day you retire?

The amount in the retirement account in

27

years would be

$enter your response here.

(Round to the nearest cent.)

Part 2

b. If, instead of investing

$6,000

per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be?You will need to make one lump sum investment today of

$enter your response here.

(Round to the nearest cent.)

Part 3

c. If you hope to live for

24

years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the

24th

withdrawal (assume your savings will continue to earn

10.5%

in retirement)?The amount you can withdraw every year in retirement is

$enter your response here.

(Round to the nearest cent.)

Part 4

d. If, instead, you decide to withdraw

$158,000

per year in retirement (again with the first withdrawal one year after retiring), how many years will it take until you exhaust your savings? (Use trial-and-error, a financial calculator: solve for "N", or Excel: function NPER)You will exhaust your savings in

enter your response here

years.(Round to two decimal places.)

Part 5

e. Assuming the most you can afford to save is

$1,200

per year, but you want to retire with

$1,000,000

in your investment account, how high of a return do you need to earn on your investments? (Use trial-and-error, a financial calculator: solve for the interest rate, or Excel: function RATE)You will need a return of

enter your response here%.

(Round to two decimal places.)