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Part $1$

You are a consultant who has been hired to evaluate a new product line for Markum Enterprises. The upfront investment required to launch the product line is $$8$ million. The product will generate free cash flow of $$0\mathrm{.}71$ million the first$$ year, and this free cash flow is expected to grow at a rate of $3\%$ per year. Markum has an equity cost of capital of $11\mathrm{.}4\%,$ a debt cost of capital of $7\mathrm{.}54\%,$ and a tax rate of $38\%.$ Markum maintains a$$ debt$-$equity ratio of $0\mathrm{.}50.$

a$.$ What is the NPV of the new product line$($including any tax shields from$$ leverage$)?$

b$.$ How much debt will Markum initially take on as a result of launching this product$$ line?

c$.$ How much of the product$$ line's value is attributable to the present value of interest tax$$ shields?