Question
We decided that we need to specify the type of retirement income we want and make plans to accomplish our goal. Our goal is to
We decided that we need to specify the type of retirement income we want and make plans to accomplish our goal. Our goal is to plan for 25 years of retirement, at $150,000 per year, but we want to receive the $150,000 at the beginning of each year of our retirement. So, to reach our objective, for the next 30 years, we need to set aside the right amount of money as an annual constant contribution into a retirement fund at the end of each of those years. So in total, there will be 25 annual payments (withdrawals) of 150,000 each received at the beginning of each month, preceded by 30 annual contributions made at the end of each period. (The last contribution time may correspond with that of the first withdrawal time).
We discussed this in general terms with another pension adviser, and she advised us to assume an average nominal annual rate of return of 8.50%, compounded annually, for the entire 55-year period.
Ques 1) How much money would we need in our pension plan when we retire after 30 years of work to make our pension dream come true? Please use (display + name) the excel function/ formula used for each yellow cell.
1. amount needed at beginning of retirement | |
APR | 8.50% |
period rate | |
annual pension | -$150,000.00 |
#periods | 25 |
Amount needed at BEG of retirement: |
Ques 2) In order to accumulate this amount of money, how much would we need to deposit in our pension plan at the end of each year, for each of the next 30 years of work, if we contributed a constant amount each year? Please use (display + name) the excel function/ formula used for each yellow cell.
2. required annual contribution | |
period rate | |
#periods | 30 |
Required annual contribution: | |
Ques 3) If the inflation rate for the next 30 years were to be 2% per year (assuming countrys Bank manages to meet its target inflation of about 2%), what annual income now would provide the same purchasing power as a $150,000 annual income in 30 years?
3. inflation impact after 30 years | |
inflation rate | 0.02 |
payment in 30 years | $150,000.00 |
equivalent amount in today's dollars: | |
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