Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Please take a look at the question in th attachment, it is an advanced financial management class. Purpose: To provide specific practice in applying the

image text in transcribed

Please take a look at the question in th attachment, it is an advanced financial management class.

image text in transcribed Purpose: To provide specific practice in applying the Time Value of Money to a problem that is very common in personal finance. This problem is can be solved either in MS Excel or 'by hand' with a calculator. To receive full credit on this assignment you must show your reasoning and your work. Suppose that: 1. Your parents are 50 today and plan to retire after reaching age 65, making their first withdrawal of funds at age 66 (i.e., 16 years from now). 2. You forecast that they will need, each year in retirement, an annual income with the same purchasing power as $60,000 has today, i.e., their retirement income must keep up with inflation. There is currently a 1.5% annual price inflation rate that is expected to continue indefinitely. (I.e., their first withdrawal from their retirement account must account for the annual price inflation during the 16 years between now and the first retirement withdrawal. If this is not done, their standard of living will decline every year.) 3. Your parents expect to live for 30 years in retirement, and want to have sufficient funds in their retirement account so that they do not run out of funds. 4. At the end of the year they retire (i.e., when they are 65) they also intend to sell their current home and purchase a retirement home in another state. They believe that this will require $100,000 (nominal - i.e., $100,000 in t=15 dollars) in addition to the equity they will have in their current home. 5. They have already accumulated savings of $200,000 as of today. 6. Beginning at the end of this year, they will save a certain amount, and increase that amount at the inflation rate every year until they retire. The last deposit into savings will be when they are 65. (They can do this because while working they expect their income to increase each year by at least the rate of inflation.) 7. Based on their experience, they believe that they can earn 8.0% per year on savings throughout the entire period (i.e., in their retirement investment fund, not a bank savings account). One way to think of this problem is as follows: Questions to answer: Assuming that t=16 is the time when they make a withdrawal because they are retired: a. What is r in the expressions above, and what is g? b. What does S0 represent and what does the first term [A] represent? c. What is W16 and what does the term ([D]) represent? d. What is W15 (i.e., term [C]) represent? e. What does S1 represent and what does term [B] represent? f. How much must your parents save at the end of this year and every future year until they retire (I.e., the cash amount put into savings in each of these years)? g. Suppose your parents do not make move to a new home at t=15, and so do not need to withdraw the $100,000. Instead they plan keep their annual retirement withdrawals exact the same as originally planned, and the $100,000 in order to make a big bequest to UNH. How large will the bequest be if they live until they are 95? Remember to show your work! The numerical answers themselves are not sufficient. Some hints: Clearly, because there is inflation, both [B] and [D] must be formulas for growing annuities. If this problem seems too difficult, try it with no inflation (i.e., set inflation = g = 0). This reduces [B] and [D] to constant annuity formulas. In that cases it is easily done on a financial calculator using the TVM functions. If it still seems too difficult, forget about the amount needed at t=15 to fund a new retirement home (i.e., set W15 = 0)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Financial Management For Public Health And Not For Profit Organizations

Authors: Steven A. Finkler

2nd Edition

0131471988, 978-0131471986

More Books

Students also viewed these Finance questions

Question

What is meant by management accounting? Discuss its objectives.

Answered: 1 week ago

Question

3. Provide time for independent and extended projects.

Answered: 1 week ago