You are interested in Speculative Holdings which is currently trading at a market price of R4.2 per share. You expect it to achieve earnings next year of R3,420,000 and project a dividend next year of R0.137 per share. The firm has 10 million shares in issue and you estimate that you would requires a return of 12% on this investment. What position would you take on Speculative Holdings?        I need to give the retention rate (b=) and the growth rate (g=) as well as the current price (P(0)=) Below is what I have calculated already, would appreciate some clarification of which values fit in where

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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You are interested in Speculative Holdings which is currently trading at a market price of R4.2 per share. You expect it to achieve earnings next year of R3,420,000 and project a dividend next year of R0.137 per share. The firm has 10 million shares in issue and you estimate that you would requires a return of 12% on this investment. What position would you take on Speculative Holdings?       

I need to give the retention rate (b=) and the growth rate (g=) as well as the current price (P(0)=)

Below is what I have calculated already, would appreciate some clarification of which values fit in where

Let number of share purchased : x

 

Target Profit : R3,420,000

Dividend per share required : R0.137

Dividend Value : x*R0.137

Required Return : 12%

 

Target Purchase Value : (R3,420,000 + x*R0.137) / 12%

 

Price of shares purchase : R4.2x

 

R4.2x =(R3,420,000 + x*R0.137) / 12%

 

R0.504x = R3,420,000 + x * R0.137 =

 

R0.367x = R3,420,000

x = 9,318,801

                                                                                                         

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