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The Lopez-Portillo Company has \(10.6 million in assets, 80 percent financed by debt and 20 percent financed by common stock. The interest rate on the debt is 9 percent and the par value of the stock is \)10 per share. President Lopez-Portillo is considering two financing plans for an expansion to \(18 million in assets.

Under Plan A, the debt-to-total-assets ratio will be maintained, but new debt

will cost a whopping 12 percent! Under Plan B, only new common stock at \)10

per share will be issued. The tax rate is 40 percent.

a. If EBIT is 9 percent on total assets, compute earnings per share (EPS) before

the expansion and under the two alternatives.

Short Answer

Expert verified

The EPS of the company before expansion under the current plan is $0.54, under plan A is $0.244 and under plan B is $0.54.

Step by step solution

01

Number of shares under the current plan

Total Assets

$10,600,000

Equity = 20% of total assets

$2,120,000 ($10,600,000 x 20%)

No. of shares (Equity/Par value)

212,000 ($2,120,000/$10)

02

Number of shares under plan A

Total Assets

$18,000,000

Equity = 20% of total assets

$3,600,000 ($18,000,000 x 20%)

No. of shares (Equity/Par value)

360,000 ($3,600,000/$10)

03

Number of shares under plan B

Total Assets

$18,000,000

Equity (Equity under current plan)

$2,120,000 ($10,600,000 x 20%)

Add: Additional equity issued ($18,000,000-$10,600,000)

$7,400,000

Balance equity

$9,520,000

No. of shares (Equity/Par value)

952,000 ($9,520,000/$10)

04

EBIT under current plan

EBIT=Totalassets×Returnonassets=$10,600,000×9%=$954,000

05

EBIT under Plan A & B

EBIT=Totalassets×Returnonassets=$18,000,000×9%=$1,620,000

06

Interest expense under current plan

Interest=Longtermdebt×Interestrate=$10,600,000×0.80×9%=$763,200

07

Interest expense under plan A

Interest=ExistingLongtermdebt×Interestrate+Newlongtermbondissue×Interestrate=$8,480,000×9%+$5,920,000×12%=$1,473,600

08

Interest expense under plan B

Interest=Longtermdebt×Interestrate=$10,600,000×0.80×9%=$763,200

09

Calculation of EPS

Particulars

Current Plan

Plan A

Plan B

EBIT

954,000

1,620,000

1,620,000

Less: Interest

763,200

1,473,600

763,200

EBT

190,800

146,400

856,800

Less: Tax @40%

76,320

58,560

342,720

Net Income (A)

114,480

87,840

514,080

No. of shares (B)

212,000

360,000

952,000

EPS (A/B)

0.54

0.244

0.54

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