Your broker offers to sell you some shares of Bahnsen & Co. common stock that paid a dividend of $3.00 yesterday. Bahnsen's dividend is expected to grow at 5% per year for the next 3 years. If you buy the stock, you plan to hold it for 3 years and then sell it. The appropriate discount rate is 11%. a. Find the expected dividend for each of the next 3 years; that is, calculate D1, D2, and D3. Note that Do = $3.00. Do not round intermediate calculations. Round your answers to the nearest cent. D1 = $ D2 = $ D3 = $ b. Given that the first dividend payment will occur 1 year from now, find the present value of the dividend stream; that is, calculate the PVs of D1, D2, and D3, and then sun these PVs. Do not round intermediate calculations. Round your answer to the nearest cent. 24 c. You expect the price of the stock 3 years from now to be $60.78; that is, you expect P3 to equal $60.78. Discounted at an 11% rate, what is the present value of this expected future stock price? In other words, calculate the PV of $60.78. Do not round intermediate calculations. Round your answer to the nearest cent.

Fundamentals of Financial Management, Concise Edition (with Thomson ONE - Business School Edition, 1 term (6 months) Printed Access Card) (MindTap Course List)
8th Edition
ISBN:9781285065137
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Eugene F. Brigham, Joel F. Houston
Chapter9: Stocks And Their Valuation
Section: Chapter Questions
Problem 17P: CONSTANT GROWTH Your broker offers to sell you some shares of Bahnsen Co. common stock that paid a...
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Your broker offers to sell you some shares of Bahnsen & Co. common stock that paid a dividend of $3.00 yesterday. Bahnsen's dividend is expected to grow at 5% per year
for the next 3 years. If you buy the stock, you plan to hold it for 3 years and then sell it. The appropriate discount rate is 11%.
a. Find the expected dividend for each of the next 3 years; that is, calculate D1, D2, and D3. Note that Do = $3.00. Do not round intermediate calculations. Round your
answers to the nearest cent.
D1 = $
D2 = $
D3 = $
b. Given that the first dividend payment will occur 1 year from now, find the present value of the dividend stream; that is, calculate the PVs of D1, D2, and D3, and then sum
these PVs. Do not round intermediate calculations. Round your answer to the nearest cent.
$
c. You expect the price of the stock 3 years from now to be $60.78; that is, you expect P3 to equal $60.78. Discounted at an 11% rate, what is the present value of this
expected future stock price? In other words, calculate the PV of $60.78. Do not round intermediate calculations. Round your answer to the nearest cent.
$
Transcribed Image Text:eBook Your broker offers to sell you some shares of Bahnsen & Co. common stock that paid a dividend of $3.00 yesterday. Bahnsen's dividend is expected to grow at 5% per year for the next 3 years. If you buy the stock, you plan to hold it for 3 years and then sell it. The appropriate discount rate is 11%. a. Find the expected dividend for each of the next 3 years; that is, calculate D1, D2, and D3. Note that Do = $3.00. Do not round intermediate calculations. Round your answers to the nearest cent. D1 = $ D2 = $ D3 = $ b. Given that the first dividend payment will occur 1 year from now, find the present value of the dividend stream; that is, calculate the PVs of D1, D2, and D3, and then sum these PVs. Do not round intermediate calculations. Round your answer to the nearest cent. $ c. You expect the price of the stock 3 years from now to be $60.78; that is, you expect P3 to equal $60.78. Discounted at an 11% rate, what is the present value of this expected future stock price? In other words, calculate the PV of $60.78. Do not round intermediate calculations. Round your answer to the nearest cent. $
d. If you plan to buy the stock, hold it for 3 years, and then sell it for $60.78, what is the most you should pay for it today? Do not round intermediate calculations. Round
your answer to the nearest cent.
2$
e. Use equation below to calculate the present value of this stock.
Do (1+8)
D1
Po
rs-g
Is-g
Assume that g = 5% and that it is constant. Do not round intermediate calculations. Round your answer to the nearest cent.
f. Is the value of this stock dependent upon how long you plan to hold it? In other words, if your planned holding period was 2 years or 5 years rather than 3 years, would
this affect the value of the stock today, Po?
I. No. The value of the stock is not dependent upon the holding period unless the growth rate remains constant for the foreseeable future.
II. Yes. The value of the stock is dependent upon the holding period as long as the growth rate remains constant for the foreseeable future.
III. No. The value of the stock is not dependent upon the holding period. The value calculated in parts a through d is the value for a 3-year holding period. It is equal to the
value calculated in part e. Any other holding period would produce the same value of Po.
IV. Yes. The value of the stock is dependent upon the holding period. The value calculated in parts a through d is the value for a 3-year holding period. It is not equal to
the value calculated in part e. Any other holding period would produce a different value of Po.
V. Yes. The value of the stock is dependent upon the holding period due to the fact that the value is determined as the present value of all future expected dividends.
-Select-
Transcribed Image Text:d. If you plan to buy the stock, hold it for 3 years, and then sell it for $60.78, what is the most you should pay for it today? Do not round intermediate calculations. Round your answer to the nearest cent. 2$ e. Use equation below to calculate the present value of this stock. Do (1+8) D1 Po rs-g Is-g Assume that g = 5% and that it is constant. Do not round intermediate calculations. Round your answer to the nearest cent. f. Is the value of this stock dependent upon how long you plan to hold it? In other words, if your planned holding period was 2 years or 5 years rather than 3 years, would this affect the value of the stock today, Po? I. No. The value of the stock is not dependent upon the holding period unless the growth rate remains constant for the foreseeable future. II. Yes. The value of the stock is dependent upon the holding period as long as the growth rate remains constant for the foreseeable future. III. No. The value of the stock is not dependent upon the holding period. The value calculated in parts a through d is the value for a 3-year holding period. It is equal to the value calculated in part e. Any other holding period would produce the same value of Po. IV. Yes. The value of the stock is dependent upon the holding period. The value calculated in parts a through d is the value for a 3-year holding period. It is not equal to the value calculated in part e. Any other holding period would produce a different value of Po. V. Yes. The value of the stock is dependent upon the holding period due to the fact that the value is determined as the present value of all future expected dividends. -Select-
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