Question

Lear Inc. has $900,000 in current assets, $400,000 of which are considered permanent current assets. In addition, the firm has $700,000 invested in fixed assets.    
  
a. Lear wishes to finance all fixed assets and half of its permanent current assets with long-term financing costing 8 percent. The balance will be financed with short-term financing, which currently costs 5 percent. Lear’s earnings before interest and taxes are $300,000. Determine Lear’s earnings after taxes under this financing plan. The tax rate is 30 percent.
  

     

b. As an alternative, Lear might wish to finance all fixed assets and permanent current assets plus half of its temporary current assets with long-term financing and the balance with short-term financing. The same interest rates apply as in part a. Earnings before interest and taxes will be $300,000. What will be Lear’s earnings after taxes? The tax rate is 30 percent.
  

Answer 1

a). Long term debt will be taken for = 700000 + 400000 x 0.5 = $ 900,000.00

Short term debt = 400000 x 0.5 + 500000 = $ 700,000.00

Total Interest costs = 900000 x 0.08 + 700000 x 0.05 = $ 107,000.00

EBT = 300000 - 107000 = $ 193,000.00

EAT = 193000 x (1-Tax) = 193000 x 0.7 = $135,100.00

b). Long term debt will be taken for = 700000 + 400000 + 500000 x 0.5 = $ 1,350,000.00

Short term debt = 500000 x 0.5 = $ 250,000.00

Interest costs = 1350000 x 0.08 + 250000 x 0.05 = $ 120,500.00

EBT = 300000 - 120500 = $ 179,500.00

EAT = 179500 x (1-0.3) = $ 125,650.00