Final answer:
The stock of Static Inc. should sell for approximately $30.05 today, as calculated using the Gordon Growth Model and discounting the expected future dividends, which begin in the fourth year and grow at the rate of 5% indefinitely, at the required return rate of 10%.
Step-by-step explanation:
The valuation of Static Inc.'s stock can be calculated using the present value of its expected future dividends, taking into account that there will be no dividends for the first three years. The first dividend is projected to be $2.00 in the fourth year, and to grow at 5% indefinitely thereafter. We apply the Gordon Growth Model to determine the present value of the stock, which requires discounting future dividends at the investors' required rate of return, which is 10% in this case.
The formula for the present value of a perpetuity (dividends growing at a constant rate) is D1 / (r - g), where D1 is the expected dividend in one year, r is the required rate of return, and g is the growth rate. In this case, D1 is $2.00, r is 10%, and g is 5%. Therefore, the present value of the stock in the fourth year is calculated as follows: $2.00 / (0.10 - 0.05) = $2.00 / 0.05 = $40.00. This is the value of the stock at the end of the third year.
To find the stock's value today, we must discount the $40.00 back three years at the required rate of return of 10%. The present value formula is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the rate, and n is the number of periods. So the value today is $40.00 / (1 + 0.10)^3 = $40.00 / 1.331 = $30.052. Therefore, Static Inc.'s stock should sell for approximately $30.05 today.