Question

starskeep, inc., is a fast-growing technology company. the firm projects a rapid growth of 40 percent for the next two years and then a growth rate of 20 percent for the following two years. after that, the firm expects a constant-growth rate of 8 percent. the firm expects to pay its first dividend of $1.25 a year from now. if your required rate of return for such stocks is 20 percent, what is the current price of the stock?

Answer 1

When the required rate of return for such stocks is 20 percent, the current price of the stock is 15.63.

What is stock?

Stock in finance refers to all of the shares that make up a corporation's or company's ownership. A single share of stock represents fractional ownership of the corporation based on the total number of shares. A stock is a broad term that refers to any company's ownership certificates.

The price will be calculated thus:

D1 = 1.25

D2 = 1.25 × (11+.40)

D3 = 1.25 × (1+.40) × (1+.20)

D4 = 1.25 × (1+.40) × (1+.20)^2

P4 = 1.25 × (1+.40) × (1+.20)^2 × (1+.08)/(.20 - .08)

Note that d is the dividend.

Current Stock Price = 1.25/(1+.20)^1 + 1.25*(1+.40)/(1+.20)^2 + 1.25*(1+.40)*(1+.20)/(1+.20)^3 + 1.25*(1+.40)*(1+.20)^2/(1+.20)^4 + 1.25*(1+.40)*(1+.20)^2*(1+.08)/(.20 - .08)*(1+.20)^4 = 15.625 or 15.63

Therefore, the current price is 15.63.

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