The following graph shows the value of a stocks dividends over time. The stocks current...

70.2K

Verified Solution

Question

Finance

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 2.70% 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, 20, and 50 years from now (D10, D20, D50D10, D20, D50). Assume that the stocks required return (rss) is 8.40%.

Note: Carry and round the calculations to four decimal places.

Time Period

Dividends Expected Future Value

Dividends Expected Present Value

Now
End of Year 10
End of Year 20
End of Year 50

Using the orange curve (square symbols), plot the present value of each of the expected future dividends for years 10, 20, and 50. The resulting curve will illustrate how the PV of a particular dividend payment will decrease depending on how far from today the dividend is expected to be received.

Note: Round each of the discounted values of the 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.

Discounted Dividends01020304050605.004.003.002.001.000DIVIDENDS ($)YEARSFV of DividendsPV of Dividends

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students