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Patience, Inc., just paid a dividend of $3.15 per share on its stock. The divide

ID: 2659555 • Letter: P

Question

Patience, Inc., just paid a dividend of $3.15 per share on its stock. The dividends are expected to grow at a constant rate of 6.00 percent per year, indefinitely. Assume investors require an 11 percent return on this stock.



What is the current price? (Do not include the dollar sign ($). Round your answer to 2 decimal places (e.g., 32.16).)




What will the price be in three years and in fifteen years? (Do not include the dollar signs ($). Round your answers to 2 decimal places (e.g., 32.16).)

Requirement 1:

What is the current price? (Do not include the dollar sign ($). Round your answer to 2 decimal places (e.g., 32.16).)




Requirement 2:

What will the price be in three years and in fifteen years? (Do not include the dollar signs ($). Round your answers to 2 decimal places (e.g., 32.16).)

Explanation / Answer

Patience, Inc., just paid a dividend of $3.15 per share on its stock. The dividends are expected to grow at a constant rate of 6.00 percent per year, indefinitely. Assume investors require an 11 percent return on this stock.



What is the current price? (Do not include the dollar sign ($). Round your answer to 2 decimal places (e.g., 32.16).)

Solution:

Expected Dividend (D1)= 3.15*1.06 = 3.339

Growth Rate = 6% or 0.06

Required rate of return (Re)=11% or 0.11



Current price = D1/(Re-g)

Current price = 3.339/(0.11-0.06)

Current price =$ 66.78




What will the price be in three years and in fifteen years? (Do not include the dollar signs ($). Round your answers to 2 decimal places (e.g., 32.16).)




The price be in three years = 66.78*1.06^3

The price be in three years= $ 79.54


The price be in fifteen years = 66.78*1.06^15

The price be in fifteen years = $ 160.04



Requirement 1:

What is the current price? (Do not include the dollar sign ($). Round your answer to 2 decimal places (e.g., 32.16).)

Solution:

Expected Dividend (D1)= 3.15*1.06 = 3.339

Growth Rate = 6% or 0.06

Required rate of return (Re)=11% or 0.11



Current price = D1/(Re-g)

Current price = 3.339/(0.11-0.06)

Current price =$ 66.78




Requirement 2:

What will the price be in three years and in fifteen years? (Do not include the dollar signs ($). Round your answers to 2 decimal places (e.g., 32.16).)