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konstantin123 [22]
3 years ago
13

Navel County Choppers, Inc., is experiencing rapid growth. The company expects dividends to grow at 23 percent per year for the

next 10 years before leveling off at 7 percent into perpetuity. The required return on the company’s stock is 15 percent. If the dividend per share just paid was $1.89, what is the stock price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Business
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:

P0 = $77.397794 rounded off to $77.40

Explanation:

The two stage growth model of DDM will be used to calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,

P0 = D0 * (1+g1) / (1+r)  +  D0 * (1+g1)^2 / (1+r)^2  +  ...  +  D0 * (1+g1)^n / (1+r)^n  + [(D0 * (1+g1)^n  *  (1+g2) /  (r - g2))  /  (1+r)^n]

Where,

  • g1 is the initial growth rate
  • g2 is the constant growth rate
  • D0 is the dividend paid today or most recently
  • r is the required rate of return

P0 = 1.89 * (1+0.23) / (1+0.15)  +  1.89 * (1+0.23)^2 / (1+0.15)^2  +  

1.89 * (1+0.23)^3 / (1+0.15)^3  +   1.89 * (1+0.23)^4 / (1+0.15)^4  +  

1.89 * (1+0.23)^5 / (1+0.15)^5  +  1.89 * (1+0.23)^6 / (1+0.15)^6  +  

1.89 * (1+0.23)^7 / (1+0.15)^7  +  1.89 * (1+0.23)^8 / (1+0.15)^8  +  

1.89 * (1+0.23)^9 / (1+0.15)^9  +  1.89 * (1+0.23)^10 / (1+0.15)^10  +  

[(1.89 * (1+0.23)^10  *  (1+0.07)  / (0.15- 0.07))  /  (1+0.15)^10]

P0 = $77.397794 rounded off to $77.40

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