Your firm is considering a project that would require purchasing $ $7\mathrm{.}8$ million worth of new equipment. Determine the present value of the depreciation tax shield associated with this equipment if the$$ firm's tax rate is $20\%$ using the alternative depreciation methods below. Note that because the depreciation tax shield is essentially a riskless cash flow$($assuming the$$ firm's tax rate remains$$ constant$),$ the appropriate cost of capital to evaluate the benefit from accelerated depreciation is the$$ risk$-$free rate; assume this rate is $7\%$ for all maturities.

c$.$ Using MACRS depreciation with a$$ five$-$year recovery period and starting immediately.

d$.100\%$ bonus depreciation$($all the depreciation expense occurs when the asset is put into$$ use, in this case$$ immediately$)$