Markov Manufacturing recently spent $$15$ million to purchase some equipment used in the manufacture of disk drives. The firm expects that this equipment will have a useful life of five years, and it will be worthless afterwards. Assume the marginal corporate tax rate is $35\%.$

$1.$If the company plans to use straight$-$line depreciation, what is the annual depreciation tax shield? $2.$Rather than straight$-$line depreciation, suppose Markov will use the MACRS depreciation method for the five$-$year life of the equipment. What are the depreciation tax$-$shields each year for this equipment?