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The Starr Co. just paid a dividend of $1.95 per share on its stock. The dividend

ID: 2741678 • Letter: T

Question

The Starr Co. just paid a dividend of $1.95 per share on its stock. The dividends are expected to grow at a constant rate of 3 percent per year, indefinitely. Investors require a return of 11 percent on the stock. What is the current price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Current price $ What will the price be in three years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Stock price $ What will the price be in 6 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Stock price $

Explanation / Answer

1) Calculation of current stock price :

                     D0 = $1.95

           Growth rate = 3%

       Rate of return   = 11%

       Current stock price = (D0 *(1+ Growth rate)) / (Required rate of return - Growth rate)

                                    = (1.95*1.03) / (0.11 - 0.03)

                                    = 2.0085/0.08

                                    = $25.11

2) Calculation of price in 3 years :

               D3 = 1.95*1.03*1.03*1.03

                    = $2.131

               P3 = D3*(1+Growth rate) / Required rate of return - Growth rate

                    = (2.131 * 1.03) / (0.11 - 0.03)

                    = 2.19493 / 0.08

                    = $27.44

3) Calculatio of price will be in 6years :

              D6 = 1.95*1.03*1.03*1.03*1.03*1.03*1.03

                   = $2.3284

            P6 = D6*(1+Growth rate) / Required rate of return - Growth rate

              P6 = (2.3284*1.03) / 0.08

                   = $29.11

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