Pearson brothers recently reported an ebitda of $7.5mil and net income of $1.8million. it had $2.0 mil of interest expense, and its corporate tax rate was 40%. what was its charge for depreciation and amortization?

Depreciation and Amortization charge of Pearson Brothers is $2.5 M.

Please note that all figures are reported dollars in Millions, where M denotes Millions

Explanation:

EBITDA – Depreciation & Amortization = EBIT

EBIT – Interest Expense = EBT

EBT – Tax Expense = Net Income

Now, Inputting values in the equations:

EBT – Tax Expense = Net Income

EBT – (40% of EBT) = Net Income

EBT – 40% EBT = $1.8 M

60% EBT = $1.8 M

EBT = $1.8 M ÷ 60%

EBT =  $3.0 M

EBIT – Interest Expense = EBT

EBIT – $2.0 M = $3.0 M

EBIT =  $3.0 M + $2.0 M

EBIT = $5.0

EBITDA – Depreciation & Amortization = EBIT

$7.5 M – Depreciation & Amortization =  $5.0

$7.5 M – $5.0 = Depreciation & Amortization

Depreciation & Amortization = $2. 5 M

Solution in Statement form is also presented below (calculations based on reverse working)

EBITDA                                             $7.5  M

Depreciation & Amortization     $2.5  M

EBIT                                             $5.0  M

Interest Expenses                             $2.0  M

EBT                                                      $3.0  M

Tax (40%)                                       $1.2  M

Net Income                                       $1.8  M