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Sinclair Pharmaceuticals, a small drug company, develops a vaccine that will pro

ID: 2622052 • Letter: S

Question

Sinclair Pharmaceuticals, a small drug company, develops a vaccine that will protect against

Helicobacter pylori, a bacteria that is the cause of a number of diseases of the stomach. It is

expected that Sinclair Pharmaceuticals will experience extremely high growth over the next three

years and will reinvest all of its earnings in expanding the company over this time. Earnings

were $1.20 per share before the development of the vaccine (i.e., EPS0) and are expected to grow

by 40% per year for the next three years. After this time, it is expected growth will drop to 5%

and stay there for the expected future. Four years from now Sinclair will pay dividends that are

75% of its earnings. If its equity cost of capital is 10%, what is the value of a share of Sinclair

Pharmaceuticals today?

Explanation / Answer

Hi,


Please find the answer as follows;


You need to calculate the present value of all future dividend and share price after 3 Years.


D1 = 1.20*(1+.40)

D1 = 1.20*(1+.40)^2

D3 = 1.20*(1+.40)^3

P3 = 1.20*75%*(1+.05)/(.10 - .05)


Current Value of Stock = 1.20*(1+.40)/(1+.10)^1 + 1.20*(1+.40)^2/(1+.10)^2 + 1.20*(1+.40)^3/(1+.10)^3 + 1.20*75%*(1+.05)/(.10 - .05)*(1+.10)^3 = $20.14


Answer is $20.14.


Thanks.