Consider company ABC. Today it is 1st of January 2023 and ABC has just paid a dividend of £3 million. The expected earnings of ABC for the next 30 years are forecast to grow at a rate of 15% per annum. From 1st of January 2053 and onwards the earnings of ABC are expected to grow at a rate of 5%. The required rate of return of ABC is 12% per annum.  The current dividend policy of ABC is such that they pay out 50% of its earnings as dividends (assume that they pay their dividends on 1st of January every year).  a) Suppose that the dividend payout ratio is expected to stay constant in the future. What is the  value of ABC stock? Show and explain your calculations and any assumptions you make. b) Just after the dividend payment on 1st of January 2043, ABC is planning to reduce their  dividends and only pay out 40% of its earnings. What is the value of ABC under the new  dividend policy?

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Answer this question without the use of excel please. Simply use mathematical formulas that your supposed to use to get to the answer:

Consider company ABC. Today it is 1st of January 2023 and ABC has just paid a dividend of £3
million. The expected earnings of ABC for the next 30 years are forecast to grow at a rate of 15%
per annum. From 1st of January 2053 and onwards the earnings of ABC are expected to grow at a
rate of 5%. The required rate of return of ABC is 12% per annum. 
The current dividend policy of ABC is such that they pay out 50% of its earnings as dividends
(assume that they pay their dividends on 1st of January every year). 
a) Suppose that the dividend payout ratio is expected to stay constant in the future. What is the 
value of ABC stock? Show and explain your calculations and any assumptions you make.
b) Just after the dividend payment on 1st of January 2043, ABC is planning to reduce their 
dividends and only pay out 40% of its earnings. What is the value of ABC under the new 
dividend policy?

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for question 3b under step 3: There are two things to the power of n but then you plugged in two different n values. why is that? why is one of them to the power of 9?

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c) Provide a recommendation to the management of ABC as to whether they should increase/cut back on dividends in the future. Can the dividend policy of ABC (in part b)) be improved on? Motivate your answer.

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what assumptions did you make for 2a and explain

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for part b, you entered the figure £45.17...  as the D0. where did you get this figure from as its nowhere else in your working out?

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