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Financial Market Probleme Set 1 (Stocks) with Answers

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Financial Markets – Fall 2014
Problem Set 1: Stocks

Company XYZ pays dividends annually. Its next dividends will be paid in one year from now and will be equal to €6 per share. These dividends are expected to grow forever at a constant rate of 5% per year. Next year’s earnings per share of company XYZ are expected to be equal to €8. The required rate of return on stock XYZ is 10% per year. a) What is the price of a share of XYZ stock?

b) How does the price of a share of XYZ stock change if the systematic risk of the company (as measured by its market beta) increases while holding everything else (risk-free rate, expected market return, dividends, earnings, etc.) constant?

c) What is the return on investment (also called return on equity) of the new projects available to company XYZ and in which XYZ reinvests part of its earnings?

d) Without doing any additional calculation, determine whether XYZ’s Present Value of Growth Opportunities is positive, negative, or equal to zero.

e) What would be the price of a share of XYZ stock if the company decided to pay out all of its earnings as dividends forever (in which case its next year’s earnings would be €8 per share and would remain constant at that level forever)?

Elements of answer a)

b) If the market beta increases, then k increases and the price decreases c)

d) Positive because ROE on new projects > k

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