March & Sanchis Investments Ltd. Revisited

Problem Definition

You are an investment analyst at March & Sanchis Investments Ltd. and you need are analysing the portfolio of a customer, based on the investment case described and solved here

A solver provides this solution:

Decision Variables:

Variables

Solution (GRB)

Reduced cost (GRB)

Objective Coefficient (GRB)

Objective Lower bound (GRB)

Objective Upper bound (GRB)

1

x_1

116129.03

0.00

0.10

0.08

0.12

2

x_2

0.00

-0.02

0.06

-Inf

0.08

3

x_3

483870.97

0.00

0.08

0.05

0.10

4

x_4

400000.00

0.00

0.15

0.12

inf

Constraints:

Constraint

Right Hand Side

Slack

Shadow Price

Min RHS

Max RHS

0

Maximum_budget

1000000.00

0.00

0.10

861538.46

2053846.15

1

Risk

0.00

0.00

6.45

-360.00

880.00

2

Minimum_investment_in_real_estate

200000.00

-283870.97

0.00

-Inf

483870.97

3

Maximum_investment_in_crypto_assets

400000.00

0.00

0.03

48000.00

464285.71

Answer the following questions and motivate all of your responses based on the data provided in the solution

  • How sensitive is the solution to changes in the expected return of the different types of assets? Describe how changes in the expected return of each asset could affect the solution.

  • What is the minimum expected return of bonds that would render this asset profitable for your customer?

  • Based on the solution provided, would you recommend your customer to consider increasing or decreasing the exposure to crypto assets?