Your firm is considering a project that would require purchasing $ $7\mathrm{.}4$ 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 $6\%$ for all maturities.

a$.$ Straight$-$line over a $10-$year period, with the first deduction starting in one year. The present value of the depeciation tax shield associated with this equipment is & $\_\_\_\_\_\_\_\_$ million. $($Round the final answer to three decimal places. Round all intermediate values to four decimal places as needed$)$

b$.$ Straight$-$line over a five$-$year period, with the fist deduction starting in one year. The present value of the depreciation tax shield associated with this equipment is & $\_\_\_\_\_\_\_\_\_\_.$

c$.$ Using MACRS depreciation with a five$-$year recovery period and starting immediately. The present value of the depreciation tax shield associated with this equipment is $ $\_\_\_\_\_\_\_\_\_.$

d$.100\%$ bonus depreciation $($all depreciation expense occurs when the asset is put into use, in this case immediately$).$ The present value of the depreciation tax shield is $ $\_\_\_\_\_\_\_\_\_\_\_.$

Round the final answers to three deciaml places. Round all intermediate values to four decimal places as needed.