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The market consensus is that Analog Electronic Corporation has an ROE = 11% and

ID: 2723193 • Letter: T

Question

The market consensus is that Analog Electronic Corporation has an ROE = 11% and a beta of 2.00. It plans to maintain indefinitely its traditional plowback ratio of 3/5. This year's earnings were $2.4 per share. The annual dividend was just paid. The consensus estimate of the coming year's market return is 16%, and T-bills currently offer a 5% return.

Find the price at which Analog stock should sell. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Calculate the P/E ratio. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

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.)

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.)

The market consensus is that Analog Electronic Corporation has an ROE = 11% and a beta of 2.00. It plans to maintain indefinitely its traditional plowback ratio of 3/5. This year's earnings were $2.4 per share. The annual dividend was just paid. The consensus estimate of the coming year's market return is 16%, and T-bills currently offer a 5% return.

Explanation / Answer

A./

Ke = Rf + BETA * (Rm - Rf)

= 5% + 2 (16% - 5%)

= 27%

GROWTH

= ROE * P/B RATIO

= 11% * 3/5

= 6.6%

D1 = $2.4 (1.066) * 2/5

= $1.02

P0 = D1 / (Ke - G)

= $1.02 / (27% - 6.6%)

= $5

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B./

P/E RATIO LEADING

EPS OF PERIOD 1 = $2.4 * 1.066

= $2.56

= MARKET PRICE PER SHARE / EARNNING PER SHARE 1

= $5 / $2.56

= 1.95

P/E RATIO TRAILLING

= MARKET PRICE PER SHARE / EPS 0

= $5 / $2.4

= 2.08

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C./

PVGO = P0 - (EPS OF PERIOD 1 / Ke)

= $5 - ($2.56 / 27% )

= $5 - $9.48

= -$4.48

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D./

GROWTH = ROE * PB RATIO

= 11% * 2/5

= 4.4%

D1 = $2.4 (1.044) * 3/5

= $1.50

INTRENSIC VALUE OF THE STOCK

= D1 / (Ke -G)

= $1.5 / (27% - 4.4%)

= $6.64