DeSoto Tools Inc. is planning to expand production. The expansion will cost \(300,000, which can be financed either by bonds at an interest rate of 14 percent or by selling 10,000 shares of common stock at \)30 per share. The current income statement before expansion is as follows:

DeSOTO TOOLS, INC.

Sales

\(1,500,000

Less: Variable cost

\)450,000

Fixed cost

550,000

1,000,000

Earning before interest and taxes

\(500,000

Less: Interest expenses

100,000

Earning before taxes

\)400,000

Less: Taxes @34%

136,000

Earning after taxes

\(264,000

Shares

100,000

Earning per shares

\)2.64

After the expansion, sales are expected to increase by \(1,000,000. Variable costs will remain at 30 percent of sales, and fixed costs will increase to \)800,000. The tax rate is 34 percent.

c. Calculate the degree of operating leverage, the degree of financial leverage, and the degree of combined leverage, after expansion.

Short Answer

Expert verified

Alternative 1

Alternative 2

Degree of operating leverage

4.375

4.375

Degree of financial leverage

1.55

1.33

Degree of combined leverage

6.78

5.83

Step by step solution

01

Degree of operating leverage after expansion

Alternative 1

Alternative 2

Sales (1,500,000+1,000,000)

$2,500,000

$2,500,000

Less: Variable cost (30% of sales)

750,000

750,000

Contribution

1,750,000

1,750,000

Less: Fixed cost (550,000+800,000)

1,350,000

1,350,000

Earning before interest and taxes (EBIT)

$400,000

$400,000

Degree of operating leverage (Contribution/EBIT)

4.375

4.375

02

Degree of Finacial leverage after expansion  

Alternative 1

Alternative 2

Sales (1,500,000+1,000,000)

$2,500,000

$2,500,000

Less: Variable cost (30% of sales)

750,000

750,000

Contribution

1,750,000

1,750,000

Less: Fixed cost (550,000+800,000)

1,350,000

1,350,000

Earning before interest and taxes (EBIT)

$400,000

$400,000

Less: Interest

142,000

(100,000+(300,000 x 14%)

100,000

EBT

258,000

300,000

Degree of financial leverage (EBIT/EBT)

1.55

1.33

03

Degree of Combined leverage after expansion

Alternative 1

Alternative 2

Sales (1,500,000+1,000,000)

$2,500,000

$2,500,000

Less: Variable cost (30% of sales)

750,000

750,000

Contribution

1,750,000

1,750,000

Less: Fixed cost (550,000+800,000)

1,350,000

1,350,000

Earning before interest and taxes (EBIT)

$400,000

$400,000

Less: Interest

142,000

(100,000+(300,000 x 14%)

100,000

EBT

258,000

300,000

Degree of financial leverage (Contribution/EBT)

6.78

5.83

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