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You would like to rebalance your portfolio in order to be closer to the M/V portfolio. To avoid excessively high transaction costs, you decide to rebalance only three stocks from your portfolio. Let xi denote the weight of stock i in your rebalanced portfolio. The objective is to minimize the quantity |x1-0.02|+|x2-0.05|+|x3-0.25 +...+x8-0.12| which measures how closely the rebalanced portfolio matches the M/V portfolio. Formulate this problem as a mixed integer linear program.

You would like to rebalance your portfolio in order to be closer to the M/V portfolio. To avoid excessively high transaction costs, you decide to rebalance only three stocks from your portfolio. Let xi denote the weight of stock i in your rebalanced portfolio. The objective is to minimize the quantity |x1-0.02|+|x2-0.05|+|x3-0.25 +...+x8-0.12| which measures how closely the rebalanced portfolio matches the M/V portfolio. Formulate this problem as a mixed integer linear program.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You currently own a portfolio of eight stocks. Using the Markowitz model, you computed the optimal mean/variance portfolio. The weights of these two portfolios are shown in the following table: Stock A в с B D E F G H Your Portfolio 0.12 0.15 0.13 0.10 0.20 0.10 0.12 0.08 M/V Portfolio 0.02 0.05 0.25 0.06 0.18 0.10 0.22 0.12 You would like to rebalance your portfolio in order to be closer to the M/V portfolio. To avoid excessively high transaction costs, you decide to rebalance only three stocks from your portfolio. Let xi denote the weight of stock i in your rebalanced portfolio. The objective is to minimize the quantity |x1-0.02|+|x2-0.05|+|x3-0.25|+.+|x8-0.12|| which measures how closely the rebalanced portfolio matches the M/V portfolio. Formulate this problem as a mixed integer linear program.
Transcribed Image Text:You currently own a portfolio of eight stocks. Using the Markowitz model, you computed the optimal mean/variance portfolio. The weights of these two portfolios are shown in the following table: Stock A в с B D E F G H Your Portfolio 0.12 0.15 0.13 0.10 0.20 0.10 0.12 0.08 M/V Portfolio 0.02 0.05 0.25 0.06 0.18 0.10 0.22 0.12 You would like to rebalance your portfolio in order to be closer to the M/V portfolio. To avoid excessively high transaction costs, you decide to rebalance only three stocks from your portfolio. Let xi denote the weight of stock i in your rebalanced portfolio. The objective is to minimize the quantity |x1-0.02|+|x2-0.05|+|x3-0.25|+.+|x8-0.12|| which measures how closely the rebalanced portfolio matches the M/V portfolio. Formulate this problem as a mixed integer linear program.
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