Question
Lets assume you want to generate the required $95,853.89 per year in retirement by switching over your retirement savings into a very safe 4% interest
Lets assume you want to generate the required $95,853.89 per year in retirement by switching over your retirement savings into a very safe 4% interest yield account and that you only withdraw the interest to live on (i.e. you never deplete the balance of the account and can thus be secure no matter how long you live and also can leave it to your children, etc.). You would need to amass a final account value by the time you retire and transition it to the 4% yielding safe account of $95,853.89/0.04= $2,406,661.53 to generate that much interest to live on for the rest of your life. While you are working, lets assume you use a moderate to aggressive risk investment account that can generate 7% interest per year on your savings.
A) If you start saving the same amount each and every year when you start your job by saving each year and making your first deposit on your 23rd birthday (i.e. you save up during the year from age 22 to age 23 and place your deposit in the bank at the beginning of each year starting at age 23), how much must you save each year to provide the needed income for retirement? Again, assume you work the year you are 65 and retire right at the end of that year, so you do not make a yearly deposit into your retirement account at the end of that year (i.e. the start of your age 66 year) and instead use any money you saved the year your are turning 65 to make your retirement transition. So your last retirement deposit will come at the beginning of your age 65 year from money you save the previous year and will only have one year to accrue interest before you have to convert your entire account over to the safe 4% yield interest account. Use a Present Value analysis.
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