ABC Corp. has just paid a dividend of $0.26. ABC has an annual required return of 12%. a. If dividends are annual and expected to be constant, what is the intrinsic value (fair price) of ABC stock?
b. What is ABC's dividend yield?
c. From now on, assume that the dividend of 0.26 was a quarterly dividend. What is the quarterly discount rate?
d. What is the intrinsic value if dividends are constant and quarterly?
e. We now think that dividends will grow by 0.3% from quarter to quarter. The firm just paid the quarterly dividend of 0.26. What is the intrinsic value of ABC stock?
f. A different analyst thinks that ABC's dividends will grow by 5% for the next 4 quarters, and then grow by 0.3% thereafter. What is the intrinsic value?

a. If dividends are annual and expected to be constant, what is the intrinsic value (fair price) of ABC stock?

P₀ = $0.26 / 12% = $2.16667 = $2.17

b. What is ABC's dividend yield?

$0.26 / $2.17 = 12%

c. From now on, assume that the dividend of 0.26 was a quarterly dividend. What is the quarterly discount rate?

12% / 4 = 3%

d. What is the intrinsic value if dividends are constant and quarterly?

P₀ = $0.26 / 3% = $8.66667 = $8.67

e. We now think that dividends will grow by 0.3% from quarter to quarter. The firm just paid the quarterly dividend of 0.26. What is the intrinsic value of ABC stock?

P₀ = ($0.26 x 1.003) / (3% - 0.3%) = $9.6585 = $9.66

f. A different analyst thinks that ABC's dividends will grow by 5% for the next 4 quarters, and then grow by 0.3% thereafter. What is the intrinsic value?

Div₀ = $0.26

Div₁ = $0.273

Div₂ = $0.287

Div₃ = $0.301

Div₄ = $0.316

Div₅ = $0.317

terminal value in 4 quarters = $0.317 / (3% - 0.3%) = $11.74

P₀ = $0.273/1.03 + $0.287/1.03² + $0.301/1.03³ + $0.316/1.03⁴ + $11.74/1.03⁴ = $0.265 + $0.271 + $0.275 + $0.281 + $10.43 = $11.522  

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