2) You are trying to decide how much to save for retirement. Assume you plan to save $7,500 per year with the first investment made one year from now. You think you can earn 9.0% per year on your investments and you plan to retire in 39 years, immediately after making your last $7,500 investment.
a. How much will you have in your retirement account on the day you retire?
b. If, instead of investing $7,500 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 17 years in retirement, how much can you withdraw every year in retirement (starting one year afterretirement) so that you will just exhaust your savings with the 17th withdrawal (assume your savings will continue to earn 9.0% in retirement)?
d. If, instead, you decide to withdraw $464,000 per year in retirement (again with the first withdrawal one year afterretiring), how many years will it take until you exhaust yoursavings? (Use trial-and-error, a financial calculator: solve for"N", or Excel: function NPER)
e. Assuming the most you can afford to save is $1,500 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? (Usetrial-and-error, a financial calculator: solve for the interestrate, or Excel: function RATE) $190,000 saved just in case, how much would they have to save each year to reach their newgoal?
** Formulas are used in yellow excel cells**
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