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dusya [7]
2 years ago
6

"Parker Company stock is currently selling for $130.00 per share and the firm's dividends are expected to grow at 6 percent inde

finitely. Assuming Parker's most recent dividend was $5.50, what is the required rate of return on Parker's stock
Business
1 answer:
8_murik_8 [283]2 years ago
6 0

Answer:

Cost of equity = 10.7%

Explanation:

<em>We will work out the required rate of return using the the dividend valuation model. The model states that the value of a stock is the present value of the future divided discounted at the cost of equity. </em>

The model is given below:

P = D× (1+g)/(r-g)

P- price of stock, D- dividend payable now, g- growth rate in dividend, r- cost of equity

So we substitute  

130 = 5.50× (1+r)/(r-0.06)

cross multiplying

(r-0.06)× 130 = 5.50 × (1+r)

130 r- 7.8  = 5.50 + 5.50r

collecting like terms

130 r - 5.50r=5.50 + 7.8

124.5  r= 13.3

Divide both sides by 124.5

r =13.3 /124.5=  0.1068

r=0.1068 × 100=  10.7%

Cost of equity = 10.7%

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Year 0    (1,200,000)              0          (1,200,000)       0            (1,200,000)      

Year 1                             300,000       (900,000)    150,000     (1,050,000)

Year 2                            300,000       (600,000)    150,000     (1,050,000)

Year 3                            300,000       (300,000)    400,000     (1,050,000)  

Year 4                            300,000               0           400,000     (1,050,000)  

Year 5                                                                        100,000     (1,050,000)

From the table above, with an inflow of $300,000 yearly, the inflows would equal the total outflow in 4 years while the annual cash flows: $150,000, $150,000, $400,000, $400,000, and $100,000 would make the inflows equal to the outflows in 5 years.

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