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The Bell Weather Co. is a new firm in a rapidly growing industry. The company is

ID: 2653069 • Letter: T

Question

The Bell Weather Co. is a new firm in a rapidly growing industry. The company is planning on increasing its annual dividend by 19 percent a year for the next 4 years and then decreasing the growth rate to 4 percent per year. The company just paid its annual dividend in the amount of $1.90 per share. What is the current value of one share of this stock if the required rate of return is 7.40 percent?

$116.55

$97.48

$87.59

$118.45

$99.38   

The Bell Weather Co. is a new firm in a rapidly growing industry. The company is planning on increasing its annual dividend by 19 percent a year for the next 4 years and then decreasing the growth rate to 4 percent per year. The company just paid its annual dividend in the amount of $1.90 per share. What is the current value of one share of this stock if the required rate of return is 7.40 percent?

Explanation / Answer

Current value of one share of this stock = D1/(1+r) + D2/(1+r)^2+ D3/(1+r)^3+ D4/(1+r)^4+ (D5/(r-g))/(1+r)^4

D1 = 1.90*1.19

D2 = 1.90*1.19^2

D3 = 1.90*1.19^3

D4 = 1.90*1.19^4

D5 = 1.90*1.19^4*1.04

r = 7.4%

g = 4%

Current value of one share of this stock = 1.90*1.19/1.074 + 1.90*1.19^2/1.074^2 + 1.90*1.19^3/1.074^3 + 1.90*1.19^4/1.074^4  + (1.90*1.19^4*1.04/(7.4%-4%))/1.074^4

Current value of one share of this stock = $ 97.48

Answer

B) $97.48