Simpkins Corporation does not pay any dividends because it is expanding rapidly and needs to retain all of its earnings. However, investors expect Simpkins to begin paying dividends, with the first dividend of $1.25 coming 3 years from today. The dividend should grow rapidly - at a rate of 80% per year - during Years 4 and 5. After Year 5, the company should grow at a constant rate of 6% per year. If the required return on the stock is 16%, what is the value of the stock today (assume the market is in equilibrium with the required return equal to the expected return)? Do not round intermediate calculations. Round your answer to the nearest cent.

Answer is $50.94 or $50.9

Explanation:

The present value of a stock along with the continuous growth is one of the formulas that are being used in the dividend discount model, particularly as it relates to stocks that the speculation assumes will increase perpetually.

Please find the detailed answer as follows:

Current Value

= 1.25/(1+.12)^3 + 1.25*(1+75%)/(1+.12)^4 + 1.25*(1+75%)^2/(1+.12)^5 + 1.25*(1+75%)^2*(1+7%)/(1+.12)^5*(12%-7%) = $50.94 or $50.9

Answer is $50.94 or $50.9

Thanks.

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