Graphical Designs is offering 10-10 preferred stock. The stock will pay an annual dividend of $10 with the first dividend payment occurring 10 years from today. The required return on this stock is 5.20 percent. What is the price of the stock today

PV of the stock today = $115.83

Explanation:

We will use the discounted cash flows approach to calculate the price of the stock today. This approach values the stock by accumulating the present value of all the expected future cash flows from the stock/asset.

As the preferred stock pays a constant dividend after equal intervals of time and for an indefinite period, it can also be treated as a perpetuity. Thus, the formula for the present value of perpetuity will be used to calculate the price of the stock at year 10 that we will discount back to today.

Present value of perpetuity = Cash flow  / expected rate of return

PV of stock at Year 10 = 10 / 0.052

PV of stock at Year 10 = 192.3076923

The value of the today will be,

PV of the stock today = 192.3076923 / (1+0.052)^10

PV of the stock today = $115.83

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