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Most corporations pay quarterly dividends on their common stock rather than annual dividends. Barring any unusual circumstances during the year, the board raises, lowers, or maintains the current dividend once a year and then pays this dividend out in equal quarterly installments to its shareholders.
a. Suppose a company currently pays an annual dividend of $6.00 on its common stock in a single annual installment, and management plans on raising this dividend by 6.25 percent per year indefinitely. If the required return on this stock is 9 percent, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Current share price $
b. Now suppose the company in part (a) actually pays its annual dividend in equal quarterly installments; thus, the company has just paid a dividend of $1.50 per share, as it has for the previous three quarters. What is your value for the current share price now? (Hint: Find the equivalent annual end-of-year dividend for each year.) (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
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The current price of a stock is $16. In 6 months, the price will be either $20 or $12. The annual risk-free rate is 7%. Find the price of a call option on the stock that has a strike price of $15 and that expires in 6 months.
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