# Expected Rate of Return and Constant Growth Model

Use the CAPM to calculate the Expect Rate of Return = "r"

Based on the assumptions that:

Risk Free Rate = 3.50% Rf

Market Return = 12.00% Rm

We found the Beta of AB 217 Corp = 0.85

SO

CAPM = Rf + Beta(RM - Rf) r = Question 1

This will be the "r" value that is used in the CGM.

Estimate the value of "g" ... the constant growth rate ..

Calculate the Dividend Growth Rate of AB 217 for Constant Growth Model (CGM)

We use actuall AB 217 history

PV ($1.20) Dividend paid 6 years ago. Negative so Excel can do the math

FV $1.55 Dividend paid this year = Do)

n 6

PMT 0

Rate This will be the Dividend Growth Rate ... = g Question 2

Constant Growth Model

Estimate the value of AB 217 stock using the CGM

D1 = Question 3

Po = #DIV/0! Question 4

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

1. CAPM = r = Rf + Beta(Rm-Rf) = 0.035 + 0.85(0.12-0.035) = 0.10725 = 10.73%

2. g = (FV/PV)^(1/n) - 1 = (1.55/1.20)^(1/6) - 1 = 0.044 = 4.4%

3. D1 = Do(1+g) = 1.55(1+0.044) = $1.62

4. Po = D1 / (r-g) = 1.62 / (0.1073 - 0.044) = $25.6

Â© BrainMass Inc. brainmass.com October 2, 2022, 7:00 am ad1c9bdddf>https://brainmass.com/statistics/central-tendency/expected-rate-return-constant-growth-model-514625