# Math

Part 1.
A stock is selling today for \$40 per share. At the end of the year, it pays a dividend of \$2 per share and sells for \$44. What is the total rate of return on the stock?
What are the dividend yield and capital gains yield?

Part 2.
Suppose the year-end stock price after the dividend is paid is \$36. What are the dividend yeild and capital gains yield in this case? Why is the dividend yield not affected?

Part 1:
(Total return= (dividend+appreciation)/(initial value) = (2 + 4)/40 = 15%
5% is dividen yield and the rest (10%) is capital gains yield.

Part 2.: Dividend yield = 2/40 = 5%, again, because the same dividend gets divided by the same initial stock value. Capital gains yield = -4/40
= -10%

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