Question

You buy a stock for which you expect to receive an annual dividend of $2.10 for the fifteen years that you plan on holding it. after 15 years, you expect to sell the stock for $32.25. what is the present value of a share for this company if you want a 10% return

Answer 1

You are given an annual dividend of $2.10 for the fifteen years that you plan on holding it. Also, after 15 years, you are given to sell the stock for $32.25. You are asked to find the present value of a share for this company if you want a 10% return. You have to mind that the future stock for 15 years is $32.25. You are not only going to mind the present value of the annuity at $2.10 but also the $32.25.

With the interest of r = 10% and number of years of n = 15, we get
PVIFA = 7.6061.

For annuity we have,
$2.10 * 7.60608 = $15.973

For $32.35 with r = 10% and n = 15
PVIF = 0.239392

Thus for the present value of selling price,
$32.25 * 0.239392 = $7.720

Thus the present value of the share
P = $15.973 + $7.720
P = $23.693