Question

You are trying to decide how much to save for retirement. Assume you plan to save $5,000 per year with the first investment made one year from now. You think you can earn 10% per year on your investments and you plan to retire in 43 years, immediately after making your last $5,000 investment. Please show how to solve on Excel.

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

b. If, instead of investing $5,000 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 20 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 20th withdrawal (assume your savings will continue to earn 10% in retirement)?

d. If, instead, you decide to withdraw $300,000 per year in retirement (again with
the first withdrawal one year after retiring), how many years will it take until you exhaust your savings?

e. Assuming the most you can afford to save is $1,000 per year, but you want to retire with $1 million in your investment account, how high of a return do you need to earn on your investments?

Answer 1

As per rules I am answering the first 4 subparts of the question

1: Using financial calculator

Input: PMT = -5000

N = 43

I/Y = 10

Solve for FV as 2,962,003.46

Amount in account = $2,962,003.46

2: : Using financial calculator

Input: N = 43

I/Y = 10

FV = 2,962,003.46

Solve for pV as -49169.99

Hence the lumpsum investment = $ 49169.99

3: Using financial calculator

Input:PV = -2,962,003.46

N = 20

I/Y = 10

Solve for PMT as $347,915.81

You can withdraw $347,915.81

4: Using financial calculator

Input:PV = -2,962,003.46

PMT = 300000

I/Y = 10

Solve for N as 45.84 years