The following graph shows the value of a stock’s dividends over time. The stock’s current dividend is $1.00 per share, and dividends are expected to grow at a constant rate of 3.50% per year. The intrinsic value of a stock should equal the sum of the present value (PV) of all of the dividends that a stock is supposed to pay in the future, but many people find it difficult to imagine adding up an infinite number of dividends. Calculate the present value (PV) of the dividend paid today (D₀) and the discounted value of the dividends expected to be paid 10, 20, and 50 years from now (D10, D20, D50D10, D20, D50). Assume that the stock’s required return (rss) is 10.40%. Note: Carry and round the calculations to four decimal places. Time Period Dividend’s Expected Future Value Dividend’s Expected Present Value Now ($1.000, 0.10000, 20.000, 10.000) End of Year 10 ($1.1877, 1.4106, 1.1087, 1.2723) (0.5245, 0.7242, 0.8240, 0.6365) End of Year 20 (1.6753, 2.0594, 1.9898, 1.7947) (0.2751, 0.2579, 0.3798, 0.3338) End of Year 50 (5.0373, 6.1921, 5.3961, 5.5849) (0.0423, 0.0327, 0.0482, 0.0397)
The following graph shows the value of a stock’s dividends over time. The stock’s current dividend is $1.00 per share, and dividends are expected to grow at a constant rate of 3.50% per year. The intrinsic value of a stock should equal the sum of the present value (PV) of all of the dividends that a stock is supposed to pay in the future, but many people find it difficult to imagine adding up an infinite number of dividends. Calculate the present value (PV) of the dividend paid today (D₀) and the discounted value of the dividends expected to be paid 10, 20, and 50 years from now (D10, D20, D50D10, D20, D50). Assume that the stock’s required return (rss) is 10.40%. Note: Carry and round the calculations to four decimal places. Time Period Dividend’s Expected Future Value Dividend’s Expected Present Value Now ($1.000, 0.10000, 20.000, 10.000) End of Year 10 ($1.1877, 1.4106, 1.1087, 1.2723) (0.5245, 0.7242, 0.8240, 0.6365) End of Year 20 (1.6753, 2.0594, 1.9898, 1.7947) (0.2751, 0.2579, 0.3798, 0.3338) End of Year 50 (5.0373, 6.1921, 5.3961, 5.5849) (0.0423, 0.0327, 0.0482, 0.0397)
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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The following graph shows the value of a stock’s dividends over time. The stock’s current dividend is $1.00 per share, and dividends are expected to grow at a constant rate of 3.50% per year. The intrinsic value of a stock should equal the sum of the present value (PV) of all of the dividends that a stock is supposed to pay in the future, but many people find it difficult to imagine adding up an infinite number of dividends.
Calculate the present value (PV) of the dividend paid today (D₀) and the discounted value of the dividends expected to be paid 10, 20, and 50 years from now (D10, D20, D50D10, D20, D50). Assume that the stock’s required return (rss) is 10.40%.
Note: Carry and round the calculations to four decimal places.
|
Time Period
|
Dividend’s Expected
|
Dividend’s Expected Present Value
|
|---|---|---|
| Now | ($1.000, 0.10000, 20.000, 10.000) | |
| End of Year 10 | ($1.1877, 1.4106, 1.1087, 1.2723) | (0.5245, 0.7242, 0.8240, 0.6365) |
| End of Year 20 | (1.6753, 2.0594, 1.9898, 1.7947) | (0.2751, 0.2579, 0.3798, 0.3338) |
| End of Year 50 | (5.0373, 6.1921, 5.3961, 5.5849) | (0.0423, 0.0327, 0.0482, 0.0397) |
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