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Gibson Company sales for the Year 1 were $3 million
Gibson Company sales for the Year 1 were $3 million. The firm's variable operating cost ratio was 0.55, and fixed costs (that is, overhead and depreciation) were $700,000. Its average (and marginal) income tax rate is 40 percent. Currently, the firm has $2.3 million of long-term bank loans outstanding at an average interest rate of 11.5 percent. The remainder of the firm's capital structure consists of common stock (150,000 shares outstanding at the present time).
Calculate Gibson's degree of combined leverage for Year 1. Round your answer to two decimal places.
Gibson is forecasting a 8 percent increase in sales for next year (Year 2). Furthermore, the firm is planning to purchase additional labor-saving equipment, which will increase fixed costs by $150,000 and reduce the variable cost ratio to 0.535. Financing this equipment with debt will require additional bank loans of $600,000 at an interest rate of 11.5 percent. Calculate Gibson's expected degree of combined leverage for Year 2. Round your answer to two decimal places.
Determine how much Gibson must reduce its debt in Year 2 (for example, through the sale of common stock) to maintain its DCL at the Year 1 level. Do not round intermediate calculations. Round your answer to the nearest dollar. Enter your answer in whole dollar. For example, an answer of $1.20 million should be entered as 1,200,000, not 1.20)
Expert Solution
Company's degree of combined leverage is as follows:
Sales= 3000000
Variable cost (3000000* 0.55)= 1,650,000
Fixed cost= 700000
EBIT= 3000000- 1650000- 700000
= 650000
Long term bank loan= 2300000
Interest rate= 11.5%
Interest= 2300000* 11.5%
= 264,500
DCL= (Sales- Variable cost)/ (EBIT- Interest)
= (3000000- 1,650,000)/ (650000- 264,500)
= 1350000/ 385500
= 3.50
The new degree of combined leverage is as follows:
Sales= 3000000*(1+8%)= 3240000
Variable cost (3240000* 0.535)= 1733400
Fixed cost= 700000+ 150000= 850000
EBIT= 3240000- 1733400- 850000
= 656600
Interest=264,500+ 11.5%* 600000
= 333,500
DCL= (Sales- Variable cost)/ (EBIT- Interest)
= (3240000- 1733400)/ (656600- 333,500)
= 1506600/ 323100
= 4.66
Optimal level of debt to maintain DCL:
DCL= (Sales- Variable cost)/ (EBIT- Interest* Debt)
3.50= (3240000- 1733400)/ (656600- (11.5%* Debt)
3.50= 1506600/ (656600- (11.5%* Debt)
=> ((656,600 - (11.5% * Debt)) = 1,506,600 / 3.50
=> ((656,600 - (11.5% * Debt)) = 430,457.14
=> 656,600 - 430,457.14 = 11.5% * Debt
=>226,142.86 = 11.5% * Debt
Debt = 1,966,459.63
Debt needs to reduce by= (2300000+ 600000)- 1,966,459.63
= 933540.37
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