In a single Word document, complete Chapter 11 Case Problem: C62Four Corners.? If using Excel or Minitab for your calculations, charts, and graphs, please copy and paste your work into t

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Chapter 11: Monte Carlo Simulation Case Problem: Four Corners Book Title: Business Analytics Printed By: Jigar Jitendrak Patel ([email protected]) © 2021 Cengage Learning, Cengage Learning

Chapter Review

Case Problem: Four Corners

What will your investment portfolio be worth in 10 years? In 20 years? When you stop working? The Human Resources Department at Four Corners Corporation was asked to develop a financial planning model that would help employees address these questions. Tom Gifford was asked to lead this effort and decided to begin by developing a financial plan for himself. Tom has a degree in business and, at the age of 40, is making $85,000 per year. Through contributions to his company’s retirement program and the receipt of a small inheritance, Tom has accumulated a portfolio valued at $50,000. Tom plans to work 20 more years and hopes to accumulate a portfolio valued at $1,000,000. Can he do it?

Tom began with a few assumptions about his future salary, his new investment contributions, and his portfolio growth rate. He assumed a 5% annual salary growth rate and plans to make new investment contributions at 6% of his salary. After some research on historical stock market performance, Tom decided that a 10% annual portfolio growth rate was reasonable. Using these assumptions, Tom developed the following Excel worksheet:

The worksheet provides a financial projection for the next five years. In computing the portfolio earnings for a given year, Tom assumed that his new investment contribution would occur evenly throughout the year, and thus half of the new investment could be included in

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In Chapter 10, we discuss the details of how to use Goal Seek.

the computation of the portfolio earnings for the year. From the worksheet, we see that, at age 45, Tom is projected to have a portfolio valued at $116,321.

Tom’s plan was to use this worksheet as a template to develop financial plans for the company’s employees. The data in the spreadsheet would be tailored for each employee, and rows would be added to it to reflect the employee’s planning horizon. After adding another 15 rows to the worksheet, Tom found that he could expect to have a portfolio of $772,722 after 20 years. Tom then took his results to show his boss, Kate Krystkowiak.

Although Kate was pleased with Tom’s progress, she voiced several criticisms. One of the criticisms was the assumption of a constant annual salary growth rate. She noted that most employees experience some variation in the annual salary growth rate from year to year. In addition, she pointed out that the constant annual portfolio growth rate was unrealistic and that the actual growth rate would vary considerably from year to year. She further suggested that a simulation model for the portfolio projection might allow Tom to account for the random variability in the salary growth rate and the portfolio growth rate.

After some research, Tom and Kate decided to assume that the annual salary growth rate would vary from 0% to 5% and that a uniform probability distribution would provide a realistic approximation. Four Corners’ accountants suggested that the annual portfolio growth rate could be approximated by a normal probability distribution with a mean of 10% and a standard deviation of 5%. With this information, Tom set off to redesign his spreadsheet so that it could be used by the company’s employees for financial planning.

Managerial Report

Play the role of Tom Gifford, and develop a simulation model for financial planning. Write a report for Tom’s boss and, at a minimum, include the following:

1. Without considering the random variability, extend the current worksheet to 20 years. Confirm that by using the constant annual salary growth rate and the constant annual portfolio growth rate, Tom can expect to have a 20-year portfolio of $772,722. What would Tom’s annual investment rate have to increase to in order for his portfolio to reach a 20-year, $1,000,000 goal? (Hint: Use Goal Seek.)

2. Redesign the spreadsheet model to incorporate the random variability of the annual salary growth rate and the annual portfolio growth rate into a simulation model. Assume that Tom is willing to use the annual investment

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rate that predicted a 20-year, $1,000,000 portfolio in part 1. Show how to simulate Tom’s 20-year financial plan. Use results from the simulation model to comment on the uncertainty associated with Tom reaching the 20-year, $1,000,000 goal.

3. What recommendations do you have for employees with a current profile similar to Tom’s after seeing the impact of the uncertainty in the annual salary growth rate and the annual portfolio growth rate?

4. Assume that Tom is willing to consider working 25 more years instead of 20 years. What is your assessment of this strategy if Tom’s goal is to have a portfolio worth $1,000,000?

5. Discuss how the financial planning model developed for Tom Gifford can be used as a template to develop a financial plan for any of the company’s employees.

Chapter 11: Monte Carlo Simulation Case Problem: Four Corners Book Title: Business Analytics Printed By: Jigar Jitendrak Patel ([email protected]) © 2021 Cengage Learning, Cengage Learning

© 2022 Cengage Learning Inc. All rights reserved. No part of this work may by reproduced or used in any form or by any means – graphic, electronic, or mechanical, or in any other manner – without the written permission of the copyright holder.

Data

FIGURE 13.18. FINANCIAL ANALYSIS SPREADSHEET FOR TOM GIFFORD