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mihalych1998 [28]
3 years ago
14

Church Inc. is presently enjoying relatively high growth because of a surge in the demand for its new product. Management expect

s earnings and dividends to grow at a rate of 22% for the next 4 years, after which competition will probably reduce the growth rate in earnings and dividends to zero, i.e., g = 0. The company’s last dividend, D0, was $1.25, its beta is 1.20, the market risk premium is 5.50%, and the risk-free rate is 3.00%. What is the current price of the common stock?
Business
1 answer:
Ronch [10]3 years ago
4 0

This can be worked out as under:

rakhivasavada :

Required Rate of Return r(m) = r(f) + b r(p), where r(f) is the risk free rate and the r(p) is the risk premium and b is beta and therefore:

r(m) = 3.00 + 1.20 * 5.5 = 9.6%.

rakhivasavada :

Hence current price P(0),

= D1/(1+k) +D2/(1+k)^2 + D3/(1+k)^3 + D4/(1+k)^4 + P4/(1+k)^4

D1 = D0 * 1.25 = 1.25*1.25 = 1.25^2

D2 = 1.25D1 = 1.25^3

D3 = 1.25D2 = 1.25^4

D4 = 1.25D3 = 1.25^5

D5 = 1*D4 = 1.25^5 (g = 0, so (1+g) =1)

P4 = D5/k = 1.25^5/0.096

So, P(0)

= 1.25^2/1.096 +1.25^3/1.096^2 +1.25^4/1.096^3 +1.25^5/1.096^4 +1.25^5/(0.096*1.096^4)

= 29.05

rakhivasavada :

I am sure this would help...

rakhivasavada :

Rate this answer ONLY IF you are done with this and if this helps and satisfies you as this is the only way we get compensated for assisting you. You may use "CONTINUE CONVERSATION" to revert with additional queries if you have or if I have missed out on any aspect of your question.

Hope this helps...

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