Cola has an expected return of 6% and volatility of 25%. If these two stocks were perfectly negatively correlated (i.e., their correlation coefficient is -1), Calculate the portfolio weights that remove all risk (meaning the vblatility of portfolio is 0). 10. Capital Budgeting Problem Vatsa Packaging is considering expanding its production capacity by purchasing a new machine, the MCC-750. The cost of the MCC-750 is $2.75 million. Unfortunately, installing this machine will take several months and will partially disrupt production. The firm has just completed a $50,000 feasibility study to analyze the decision to buy the MCC- 750, resulting in the following estimates: - Marketing: Once the MCC-750 is operating next year, the extra capacity is expected to generate $10 million per year in additional sales, which will continue for the 10-year life of the machine. - Operations: The disruption caused by the installation will decrease sales by $5 million this year. Once the machine is operating next year, the cost of goods for the products produced by the MCC-750 is expected to be 70% of their sale price. The increased production will require additional inventory on hand of $1 million to be added in year O and depleted in year 10. Human Resources: The expansion will require additional sales and administrative personnel at a cost of $2 million per year. Accounting: The MCC-750 will be depreciated via the straight-line method over the 10-year life of the machine. The firm expects receivables from the new sales to be 15% of revenues and payables to be 10% of the cost of goods sold. Assume that cash requirements are 1.5 times the Accounts Receivable Vatsa's marginal corporate tax rate is 21%. a. Determine the incremental earnings from the purchase of the MCC-750. b. Determine the free cash flow from the purchase of the MCC-750. c. If the appropriate cost of capital for the expansion is 10%, compute the NPV of the purchase. + 1 Cola has an expected return of 6% and volatility of 25%. If these two stocks were perfectly negatively correlated (i.e., their correlation coefficient is -1), Calculate the portfolio weights that remove all risk (meaning the vblatility of portfolio is 0). 10. Capital Budgeting Problem Vatsa Packaging is considering expanding its production capacity by purchasing a new machine, the MCC-750. The cost of the MCC-750 is $2.75 million. Unfortunately, installing this machine will take several months and will partially disrupt production. The firm has just completed a $50,000 feasibility study to analyze the decision to buy the MCC- 750, resulting in the following estimates: - Marketing: Once the MCC-750 is operating next year, the extra capacity is expected to generate $10 million per year in additional sales, which will continue for the 10-year life of the machine. - Operations: The disruption caused by the installation will decrease sales by $5 million this year. Once the machine is operating next year, the cost of goods for the products produced by the MCC-750 is expected to be 70% of their sale price. The increased production will require additional inventory on hand of $1 million to be added in year O and depleted in year 10. Human Resources: The expansion will require additional sales and administrative personnel at a cost of $2 million per year. Accounting: The MCC-750 will be depreciated via the straight-line method over the 10-year life of the machine. The firm expects receivables from the new sales to be 15% of revenues and payables to be 10% of the cost of goods sold. Assume that cash requirements are 1.5 times the Accounts Receivable Vatsa's marginal corporate tax rate is 21%. a. Determine the incremental earnings from the purchase of the MCC-750. b. Determine the free cash flow from the purchase of the MCC-750. c. If the appropriate cost of capital for the expansion is 10%, compute the NPV of the purchase. + 1
