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The market consensus is that Analog Electronic Corporation has an ROE = 10% and

ID: 2785020 • Letter: T

Question

The market consensus is that Analog Electronic Corporation has an ROE = 10% and a beta of 2.20. It plans to maintain indefinitely its traditional plowback ratio of 3/5. This year's earnings were $4.4 per share. The annual dividend was just paid. The consensus estimate of the coming year's market return is 15%, and T-bills currently offer a 5% return. a. Find the price at which Analog stock should sell. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Price $ b. Calculate the P/E ratio. (Do not round intermediate calculations. Round your answers to 2 decimal places.) P/E ratio Leading Trailing c. Calculate the present value of growth opportunities. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.) PVGO $ d. Suppose your research convinces you Analog will announce momentarily that it will immediately reduce its plowback ratio to 2/5. Find the intrinsic value of the stock. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Intrinsic value of the stock $

Explanation / Answer

Required rate of return = 5% + (15% - 5%) × 2.20

= 5% + (10% × 2.20)

= 5% + 22%

= 27%

Required rate of return is 27%.

Retention ratio = 60%

Payout ratio = 40%.

Growth rate = Retention ratio × Return on equity

= 60% × 10%

= 6%.

Growth rate is 6%.

a.

This year dividend = $4.40 × 40%

= $1.76

Stock price = $1.76 × (1 + 6%) / (27% - 6%)

= $1.87 / 21%

= $8.88

Current stock price of company is $8.88.

b.

P / E ratio = $8.88 / $4.40

= 2.02

P / E ratio of comapny is 2.02.

c.

Stock price without growth rate = $4.40 / 27%

= $16.30.

Stock price without growth rate is $16.30.

present value of growth opportunities = $8.88 - $16.30

= -$7.42.

present value of growth opportunities is -$7.42.

d.

Ne plowback ratio = 40%

Payout ratio = 60%.

This year dividend = $4.40 × 60%

= $2.64

Growth rate = 10% × 40%

= 4%

New Growth rate is 4%

Stock price = $2.64 × (1 + 4%) / (27% - 4%)

= $2.75 / 23%

= $11.94

New, Current stock price of company is $11.94