Question

Neqi plc produces reusable face masks where there are $3$ masks per pack. The firm is considering whether to invest in new equipment, costing $8$ million, to manufacture a new type of reusable face mask.Market research, conducted $6$ months ago, suggested scope to sell an additional $500,000$ masks per year $($from the current level$).$ The new number of masks will be the same from year to year. The overdue research fee of $0\mathrm{.}2$ million will be paid in year $2$ of the project.

The pricing structure $($in British pounds$)$ of a typical mask is as follows:

Price per unit: $5$

Cost per unit output:

Direct cost per unit: $1\mathrm{.}50$

Fixed overhead cost per unit: $1\mathrm{.}00$

Total cost per unit: $2\mathrm{.}50$

The fixed overhead represents existing fixed costs of the mask factory. Depreciation, on a straight$-$line basis, is $10$ percent per year. The government grants Neqi plc a full tax rebate for the duration of the project due to the countrys need for higher quality face masks.This article discussed the nature of face masks and a comparison of Neqis highly$-$regarded product and pricing against competitive products:Guardian ArticleThe new production line is expected to operate for five years. It requires $0\mathrm{.}5$ million of initial working capital which is expected to remain constant for the next five years. Working capital will be recovered at the end of the project life. The equipment will have a residual value of $2\mathrm{.}0$ million at the end of the life of the project.The new production line will be located in a presently empty building, purchased by the firm at $5$ million three years ago. An offer of $2\mathrm{.}7$ million has recently been received from another firm. If the building is retained for the new mask production, it is expected that the value will rise to $3\mathrm{.}5$ million after $5$ years.

Neqis strategic planning division made the following forecasts for the average annual rates of inflation relevant to the project: Mask prices: $5$ percent per annum Direct costs: $3$ percent per annum Fixed overhead costs: $5$ percent per annum Neqis real cost of capital for projects of similar degree of risk is $8$ percent. The general rate of inflation is $4\mathrm{.}63$ percent.

Required: a$.$ What is the projects actual $($monetary$)$ cost of capital?

b$.$ Provide the reasons for the irrelevance of three cash flow items for project consideration.

c$.$ Assess the financial viability of the proposed project using nominal$/$actual cash flows.

Monetary figures should be in $$ million and intermediate computations should be in $3$ decimal places.