Delphi Products Corporation currently pays a dividend of $2.50 per share, and this dividend is expected to grow at a 12% annual rate for three years, and then at an 8% p.a. rate forever. What value would you place on the stock if an 18% rate of return was required?

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Delphi Products Corporation currently pays a dividend of $2.50 per share, and this dividend

is expected to grow at a 12% annual rate for three years, and then at an 8% p.a. rate forever.

What value would you place on the stock if an 18% rate of return was required?

 

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Phases 1 and 2: Present Value of Dividends to Be Received Over First 6 Years

 

End of             Present Value Calculation                               Present Value

Year                 (Dividend × PVIF18%,t)                                              of Dividend

1          $2.50 (1.12)1   =              $2.80 × 0.847      =                 $ 2.37

2            2.50 (1.12)2   =                3.14 × 0.718       =                    2.25

3            2.50 (1.12)3   =                3.51 × 0.609       =                    2.14

6.76

 

Phase 3: Present Value of Constant Growth Component

Dividend at the end of year 4 = $3.51(1.08)              =          $3.79

 

Value of stock at the end of year 3 = D4/(ke + g)        =  $ 3.79/(0.18 – 0.08) = $37.90

 

Present value of $37.90 at end of year 3=    ($37.90) (PVIF18%,3)

=     ($37.90)(0.609)   =             $23.08

 

Present Value of Stock

V = $6.76 + $23.08 = $29.84

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