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-
- HOW MUCH WILL I REALLY NEED TO SAVE
-
- FOR MY RETIREMENT?
-
- (NOTE: This is an addendum to the SolveIt! (tm) 4.1 User's Guide. It
- should be kept in the section titled "Some Relationships Between the
- Routines". For the sake of simplicity, we will assume for this example
- annual payments, that the investments are inflated by a constant 5% and that
- the return is a constant 8%. You may actually select from any one of 8
- payment periods and you can vary both the inflation rates and the rate of
- return on the investments.)
-
- From time to time, one of our technical support people will receive a
- call from a user to ask if SolveIt! can solve this problem or that problem.
- More often than not, such problems are complex in nature and actually
- involve several financial questions. Yesterday, we received just such a
- call. Our customer, a financial advisor who we shall call Ms. Silvers, had a
- client Mr. Robert Wonderly, who was wondering about how he might plan for
- his retirement. Ms. Silvers was of course very familiar with SolveIt! and
- how to use the Payment Required Routine to calculate a savings plan that
- will result in some final value 30 years in the future. But she wanted to
- provide her client with a more sophisticated analysis of his needs. She
- wanted to factor inflation into the calculations.
-
- To illustrate, let's use the following scenario: Mr. Wonderly wants to
- retire in 30 years on an income equivalent to $30,000 per year in today's
- dollars. Once he retires, he wants his income to keep up with a projected
- inflation rate. He also wants his income to last 20 years. The questions
- are: What will be the equivalent value of $30,000 after 30 years of 5%
- inflation? How much cash will be required at retirement to buy an annuity
- that guarantees to provide this income? And how much will have to be saved
- on a monthly bases to reach this projected amount?
-
- SolveIt!, version 4.1, will easily handle this problem. First we
- instruct Ms. Silvers to select from the Finance Menu the Purchasing Power
- Routine. She enters $30,000 for the Present Value. Then key in 5% for the
- assumed inflation rate for 30 years. By solving this problem Mr. Wonderly
- will discover that it will take $129,658.27 to buy what $30,000 buys today.
-
- The next step is to compute how much money is required to provide an
- income that starts at $129,658 and then increases by 5% for 20 years. Assume
- that the funds are invested at 8% compounded daily. To make this
- computation, the Present Value of a Series Routine is used. (From the
- Finance Menu select Present Value, then select Series.) Enter the following
- values: for Payment Amount $129,658.27; for Total Periods 20; and for Annual
- Rate 8%. Set the Payment Period to Annually and the Compounding Period to
- Daily. Once these initial figures are keyed in, the Payment Amount needs to
- be increased by the assumed inflation rate (5%). To do this, put the cursor
- on the Payment Amount field and press <F10>. Select annual adjustment. Next
- use SolveIt!'s copy feature to increase the payment amount by 5% for each of
- the 20 years that you want the income to last. Exit the Enter Extra
- Deposits/Payments window and press <F9> to calculate. The Present Value of
- the series of payments is $1,808,705.
-
- Therefore, Ms. Silvers concludes, it will be necessary for Mr.
- Wonderly to have $1,808,705.12 invested at 8% compounded daily on the day of
- his retirement to provide him with an annual income of $129,658.27 (the
- amount equal to $30,000 after 30 years of inflation) that will be increased
- to match an assumed inflation rate of 5%.
-
- (This next step is not actually necessary to arrive at the amount that
- must be saved to reach the target figure of 1.8 million. Rather this step
- serves as a way for Ms Silvers to check her work (and the accuracy of
- SolveIt!) up to this point.) From the Finance Menu, select Time to
- Withdrawal. Enter the following values: for Present Value $1,808,705.12; for
- Withdrawal Amount $129,658.27; for Inflation 5% and for Annual Rate 8%. The
- date is automatically set to the current date. (It can be changed.) Set
- Annuity Paid to Due; Payment Period to Annually; and Compounding Period to
- Daily. Press <F9> to calculate. Note that this routine shows that
- $1,808,705.12, when invested at 8% with daily compounding, will last exactly
- 20 years when an annual withdrawal is made starting at $129,658.27 and then
- increasing annually by 5%. If Ms. Silvers wants to, she will be able to
- print an Annuity Schedule to show her client how his income will grow.
-
- There is still one step to perform to answer the truly important
- question i.e. "What will Mr. Wonderly have to save on a monthly bases to
- reach his goal?". From the Finance Menu, select the Required Payment
- Routine. Once in the routine, enter the following values: For Future Value
- $1,808,705.12; for Total Periods 360 and for Annual Rate 8%. Set the Payment
- Period to Monthly and the Compounding Period to Daily. Again, press <F9> to
- calculate. To reach the desired objective of having $1,808,705.12 on the
- first day of retirement, Mr. Wonderly learns that $1,207.25 will have to be
- saved monthly for 30 years assuming that the monies are invested at 8%.
-
- Mr. Wonderly is taken back by the amount that he has to save. However,
- Ms. Silvers points out that this is only an average amount that needs to be
- saved over thirty years. And certainly, just as $30,000 will not have the
- same value 30 years from now, neither will $1,200.
-
-
- To help her client plan a course of action, Ms. Silvers turns to the
- Future Value Routine. Using this routine, she is able to council Mr.
- Wonderly that if he starts a savings plan today by making monthly deposits
- of $350 and increases his rate of saving by 10% a year he will accumulate a
- little more than his stated goal. To make her point, Ms. Silvers prints out
- a future value schedule of a series of deposits being increased by 10% a
- year invested at 8% for 30 years.
-
- This is one example of how several of SolveIt's routines can be
- effectively used together to do financial planning. The technique is simple
- and straight forward. Break a problem down to a series of simple questions.
- Select the appropriate routines, answer each question in the routine and
- SolveIt! will compute the answer quickly with absolutely no programming at
- any time.
-
- Of course the procedure outlined here could be used to plan any future
- purchase such as a college education.
-
- ****************
-
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