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You have been asked to rank the following 5 companies from cheapest to most expe

ID: 2750498 • Letter: Y

Question

You have been asked to rank the following 5 companies from cheapest to most expensive on the basis of multiples of earnings. They are all in the same sector, have roughly the same expected growth in income in their operating businesses, have similar debt ratios and generate similar returns on equity on their operating investments. You have been given the following information on the companies:

Company

Price/share

# Common Shares (Primary)

# Op6ons

Value/op6on

Cash Balance

Net Income

Income from Cash

A

$8.00

25

1

$2.00

$22.00

$16.00

$1.60

B

$15.00

5

2

$5.00

$10.00

$6.50

$0.50

C

$42.50

40

20

$30.00

$300.00

$170.00

$10.00

D

$7.90

10

8

$2.00

$5.00

$7.50

$0.30

E

$50.00

300

20

$20.00

$2,900.00

$1,125.00

$125.00

All of the values are in millions except for the price/share. The primary shares refer to actual shares outstanding and the value per option has been computed using an option pricing model.

Compute the primary PE ratio for each company and rank the companies based upon the primary PE.

Compute the fully diluted PE ratio for each company and rank the companies based up the fully diluted PE. Explain why the rankings change from the primary PE rankings.

Compute a PE ratio that incorporates the options outstanding more appropriately (than the fully diluted approach) and rank the companies based upon this ratio. Explain why the ranking change from the fully diluted PE.

Compute a PE ratio that incorporates both the options outstanding and the cash balances at each of the companies and rank the companies based upon this ratio. Explain why the ranking changes from the ratios that you computed in part 3.

Company

Price/share

# Common Shares (Primary)

# Op6ons

Value/op6on

Cash Balance

Net Income

Income from Cash

A

$8.00

25

1

$2.00

$22.00

$16.00

$1.60

B

$15.00

5

2

$5.00

$10.00

$6.50

$0.50

C

$42.50

40

20

$30.00

$300.00

$170.00

$10.00

D

$7.90

10

8

$2.00

$5.00

$7.50

$0.30

E

$50.00

300

20

$20.00

$2,900.00

$1,125.00

$125.00

Explanation / Answer

Part 1

Primary PE Ratio- Price of Share/ Earning per Share

Earning per Share=Net Income/((Price/share)*No. of Common Shares)

Company

EPS

P/E

A

0.080

100

B

0.087

173

C

0.100

425

D

0.095

83

E

0.075

667

Part 2

In Diluted PE ratio we will calculate EPS by including the no. of options in no. of common shares mentioned in the formula of Part 1. This is because Diluted EPS is calculated by assuming that everyone who has an instrument that can be converted into an equity share converts it into an equity share and so the total number of outstanding shares of the company increase, thereby reducing the EPS.

Company

Diluted EPS

P/E

A

0.079

101

B

0.076

196

C

0.074

575

D

0.079

100

E

0.073

684

Part 4:

In this we will remove the earning of the company which are happening on the cash balance present in the company and thus the earning in this EPS will be reflected on the Companies income rather than interest income. As the result the ranking of companies based in EPS and in turn PE ratio will further change.

Company

EPS excluding income from Cash balances

P/E

A

0.006

1234

B

0.026

567

C

0.041

1047

D

0.019

417

E

0.030

1670

Company

EPS

P/E

A

0.080

100

B

0.087

173

C

0.100

425

D

0.095

83

E

0.075

667

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