E-eyes has a new issue of preferred stock it calls 20/20 preferred. the stock will pay a $20 dividend per year, but the first dividend will not be paid until 20 years from today. if you require a return of 10.5 percent on this stock, how much should you pay today? (do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) current stock price

$25.86.

Explanation:

To address this problem we first calculate the present value of all dividend received at time t = 20, then we discount that sum to time t = 0 (now).

The cashflow pattern of this preferred stock is similar to perpetuty.

Stock value at time t = 20 = Dividend/Required rate of return = 20/10.5% = 190.48

Stock value at time t = 0 = (Stock value at time t = 20)/(1 + Required rate of return)^20 = 190.48/(1 + 10.5%)^20 = 25.86.

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a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.