Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

General This case is a classic retirement problem. The case details are below. You need to use the excel template provided to complete the case

General

This case is a classic retirement problem. The case details are below. You need to use the excel template provided to complete the case and submit your solution. The template is in Engage and has been set up for ease of completion and grading.

Case Study Information

A friend is celebrating her birthday and wants to start saving for her anticipated retirement. She has the following years to retirement and retirement spending goals.

Years until retirement: 30Amount to withdraw each year:$100,000Years to withdraw in retirement:25Interest rate:8.5%

Because your friend is planning ahead, the first withdrawal will not take place until one year after she retires. She wants to make equal annual deposits into her account for her retirement fund.

Required:

  1. If she starts making these deposits in one year and makes her last deposit on the day she retires, what amount must she deposit annually to be able to make the desired withdrawals at retirement?
  2. Suppose your friend just inherited a large sum of money. Rather than making equal annual payments, she decided to make one lump-sum deposit today to cover her retirement needs. What amount does she have to deposit today?
  3. Suppose your friends employer will contribute to the account each year as part of the companys profit-sharing plan. In addition, your friend expects a distribution from a family trust several years from now. What amount must she deposit annually now to be able to make the desired withdrawals at retirement?

Employers annual contribution:$2,100Years until trust fund distribution:25Amount of trust fund distribution:$29,500

  1. Go back and assume the basic information from part 1 above---no inheritance and no employer contributions. Now assume that the inflation rate is 3.0%. Consequently, when your friend retires she will want to withdraw $105,000 each year in todays dollars. What amount is she planning to receive in year 31 (the end of her first year of retirement)?
  2. How much does she need to have in retirement at the end of year 30 in order to receive her retirement payments assuming that these retirement payments continue to increase at 3.0% per year throughout her retirement?
  3. If she starts making deposit amounts in one year and makes equal deposit amounts each year and makes her last deposit on the day she retires, what amount must she deposit annually to be able to make the desired withdrawals at retirement?
  4. If she starts making deposit amounts in one year and her deposits increase at the inflation rate of 3.0% each year until she makes her last deposit on the day she retires, what amount must she initially deposit to be able to make the desired withdrawals at retirement?
image text in transcribedimage text in transcribed In order to answer any of these questions, first we need to know how much your friend will need when she is ready to retire. Since this amount will be the same for each of the parts of the problem, solve for this amount below: Amount needed at retirement: 1 The amount your friend must save each year to fund her retirement is: Amount to save each year: 2 The lump sum your friend must deposit today to fund her retirement is: Lump sum deposited today: A B C 3 To find the amount of the annual deposit now, it is easier to break down the components of the problem. Doing so for each of the following to find your friend's annual deposit, we get: Value of employer's contribution at retirement: Value of trust fund at retirement: Amount to save each year now: 4 Annual retirement payment in 31 years equal to $100,000 in today's dollars 5 Growing annuity factor for retirement period (wo r-g) Dividing by r-g Amount needed at retirement 6 PV now of amount needed at retirement Growing annuity factor for working period (wo r-g) Dividing by r-g Amount to save each year 7 Amount needed to save this year and then increasing by 3.0\% each year to reach the amount needed at retirements In order to answer any of these questions, first we need to know how much your friend will need when she is ready to retire. Since this amount will be the same for each of the parts of the problem, solve for this amount below: Amount needed at retirement: 1 The amount your friend must save each year to fund her retirement is: Amount to save each year: 2 The lump sum your friend must deposit today to fund her retirement is: Lump sum deposited today: A B C 3 To find the amount of the annual deposit now, it is easier to break down the components of the problem. Doing so for each of the following to find your friend's annual deposit, we get: Value of employer's contribution at retirement: Value of trust fund at retirement: Amount to save each year now: 4 Annual retirement payment in 31 years equal to $100,000 in today's dollars 5 Growing annuity factor for retirement period (wo r-g) Dividing by r-g Amount needed at retirement 6 PV now of amount needed at retirement Growing annuity factor for working period (wo r-g) Dividing by r-g Amount to save each year 7 Amount needed to save this year and then increasing by 3.0\% each year to reach the amount needed at retirements

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

The Process Approach Audit Checklist For Manufacturing

Authors: Karen Welch

1st Edition

0873896440, 978-0873896443

More Books

Students also viewed these Accounting questions

Question

Factors Affecting Conflict

Answered: 1 week ago

Question

Describe the factors that lead to productive conflict

Answered: 1 week ago

Question

Understanding Conflict Conflict Triggers

Answered: 1 week ago