Problem 2 Financial planner Minnie Margin has a substantial number of clients who wish to own a mutual fund portfolio that matches, as a whole, the performance of the Russell 2000 index. Her task is to determine what proportion of the portfolio should be invested in each of the five mutual funds listed below so that the portfolio most closely mimics the performance of the Russell 2000 index.   Annual Returns   Year 1 Year 2 Year 3 Year 4 International Stock 22.37 26.73 4.86 2.17 Large-Cap Value 15.48 19.64 11.50 -5.25 Mid-Cap Value 17.42 20.07 -4.97 -1.69 Small-Cap Growth 23.18 12.36 3.25 3.81 Short-Term Bond 9.26 8.81 6.15 4.04 Russell 2000 Index 20 22 8 2   Write out the (non-linear) program that would produce a portfolio that most closely mimics the performance of the Russell 2000 Index. Use Excel's Solver with "GRG Non-Linear" as the solution algorithm: what is the optimal solution, i.e., what percentages should be invested in each of the five funds?

PFIN (with PFIN Online, 1 term (6 months) Printed Access Card) (New, Engaging Titles from 4LTR Press)
6th Edition
ISBN:9781337117005
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter13: Investing In Mutual Funds, Etfs, And Real Estate
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Problem 2

Financial planner Minnie Margin has a substantial number of clients who wish to own a mutual fund portfolio that matches, as a whole, the performance of the Russell 2000 index. Her task is to determine what proportion of the portfolio should be invested in each of the five mutual funds listed below so that the portfolio most closely mimics the performance of the Russell 2000 index.

 

Annual Returns

 

Year 1

Year 2

Year 3

Year 4

International Stock

22.37

26.73

4.86

2.17

Large-Cap Value

15.48

19.64

11.50

-5.25

Mid-Cap Value

17.42

20.07

-4.97

-1.69

Small-Cap Growth

23.18

12.36

3.25

3.81

Short-Term Bond

9.26

8.81

6.15

4.04

Russell 2000 Index

20

22

8

2

 

  1. Write out the (non-linear) program that would produce a portfolio that most closely mimics the performance of the Russell 2000 Index.
  2. Use Excel's Solver with "GRG Non-Linear" as the solution algorithm: what is the optimal solution, i.e., what percentages should be invested in each of the five funds?
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