Question
The following graph shows the value of a stocks dividends over time. The stocks current dividend is $1.00 per share, and dividends are expected to
The following graph shows the value of a stocks dividends over time. The stocks current dividend is $1.00 per share, and dividends are expected to grow at a constant rate of 4.50% per year. The intrinsic value of a stock should equal the sum of the present value (PV) of all of the dividends that a stock is supposed to pay in the future, but many people find it difficult to imagine adding up an infinite number of dividends.
Calculate the present value (PV) of the dividend paid today (D) and the discounted value of the dividends expected to be paid 10 and 20 years from now (D1010 and D2020). Assume that the stocks required return (rss) is 5.40%.
Note: Carry and round the calculations to four decimal places.
Time Period | Dividends Expected Future Value | Expected Dividends Present Value |
---|---|---|
Now | ||
End of Year 10 | ||
End of Year 20 | ||
End of Year 50 |
Using the blue curve (circle symbols), plot the future value of each of the expected future dividends for years 10, 20, and 50. The resulting curve will illustrate how the FV of a particular dividend payment will increase depending on how far from today the dividend is expected to be received.
Note: Round each of the discounted values of the of dividends to the nearest tenth decimal place before plotting it on the graph. You can mouse over the points in the graph to see their coordinates.
Expected Dividends010203040506010.008.006.004.002.000DIVIDENDS ($)YEARSFV of DividendsPV of Dividends
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started