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You are considering two investment alternatives. The first is a stock that pays quarterly dividends of $0.32 per share and is trading at $27.85 per share; you expect to sell the stock in six months for $31.72. The second is a stock that pays quarterly dividends of $0.67 per share and is trading at $34.98 per share; you expect to sell the stock in one year for $36.79. Which stock will provide the better annualized holding period return?The 1-year HPR for the second stock is____%. The stock that will provide the better annualized holding period return is_____.A. Stock 1 B. Stock 2

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Answer:

The 1-year HPR for the second stock is 12.84%. The stock that will provide the better annualized holding period return is Stock 1.

Explanation:

For First stock

Total dividend from first stock = Dividend per share * Number quarters = $0.32 * 2 = $0.64

HPR of first stock = (Total dividend from first stock + (Selling price after six months - Initial selling price per share)) / Initial selling price = ($0.64 + ($31.72 - $27.85)) / $27.85 = 0.1619, or 16.19%

Annualized holding period return of first stock = HPR of first stock * Number 6 months in a year = 16.19% * 2 = 32.38%

For Second stock

Total dividend from second stock = Dividend per share * Number quarters = $0.67 * 4 = $2.68

Since you expect to sell the stock in one year, we have:

Annualized holding period return of second stock = The 1-year HPR for the second stock = (Total dividend from second stock + (Selling price after six months - Initial selling price per share)) / Initial selling price = ($2.68+ ($36.79 - $34.98)) / $34.98 = 0.1284, or 12.84%

Since the Annualized holding period return of first stock of 32.38% is higher than the Annualized holding period return of second stock of 12.84%. the first stock will provide the better annualized holding period return.

The 1-year HPR for the second stock is 12.84%. The stock that will provide the better annualized holding period return is Stock 1.

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