Friday, October 10, 2014

What are the geometric and arithmetic mean returns on the stock?

Suppose that a stock now selling for $100 will either increase in value by 15% by year-end with probability .5, or fall in value by 5% with probability .5. The stock pays no dividends.

a. What are the geometric and arithmetic mean returns on the stock?

b. What is the expected end-of-year value of the share?

c. Which measure of expected return is superior?

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