Chiptech, Inc., is an established computer chip firm with several profitable existing products as well as some promising new products in development. The company earned $2.1 a share last year, and just paid out a dividend of $0.84 per share. Investors believe the company plans to maintain its dividend payout ratio at 40%. ROE equals 23%. Everyone in the market expects this situation to persist indefinitely.
a. What is the market price of Chiptech stock? The required return for the computer chip industry is 16%, and the company has just gone ex-dividend (i.e., the next dividend will be paid a year from now, at t = 1). (Round your answer to 2 decimal places. Omit the "$" sign in your response.)
Market price of Chiptech stock $
b. Suppose you discover that Chiptech

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andromache andromache · Answer 1 · 2021-04-06T05:12:32+02:00

Answer and Explanation:

The computation is shown below:

a) Growth rate = ROE × retention ratio

= 23% × (1 - .40)

= 13.80%

Value of stock = D1 ÷ (k - g)

= 0.84 × (1 + .1380) ÷ (.16 - .1380)

= $43.45

b) Revised growth rate after year 2 = 16% × .50

= 8%

Value at T2 = D3 ÷ (k - g)

D3 = Earnings × (1 + G1)^2 × (1 + G2) × Payout ratio

= 2.1 × (1+.1380)^2 × (1+.08) × .50

= 1.47

Value at T2 = 1.47 ÷ (.16 - .08)

= $18.38

Value at T0 = Value at T2 ÷ (1 + r)^n

= 18.38 ÷ (1 + .16)^2

= 13.66