BFN352 - 02 Problem set (1)
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b) Is the stock fairly valued, undervalued or overvalued according to your analysis?
c) What is the implied dividend growth rate that corresponds to the price observed today?
a) What is the value of this stock according to your two-stage DDM model?
b) If you instead assume that the initial growth rate will linearly decline towards the long-te
c) Calculate the stock value with the growth assumption of b) and the approximate formula
d) Calculate the exact stock value with the growth assumption of b). (Growth from t=-1 to t
02.1
- According to your financial analysis, GameGo Inc. should pay a yearly dividend of 4.00
next 5 years. The next dividend is due in exactly 1 year. Using a comparative model, you esti
stock in 5 years (just after the dividend is paid) will be 80.00 USD. What is the value of this s
level of risk is 10% per year?
02.2
- The robot vaccuum company TidyRobots Inc. just paid a quarterly dividend of $2.60 p
dividend growth of 6% per year for the company. The current market price is 301.23 $/shar
a) What is the current value of the stock if you assume that the CAPM model is an appropri
of return for the shares of this company? You calculate a beta of 1.2 based on the past 5 yea
the expected return of the market is 9.5% per year and that the risk-free rate is 5% per year
02.3
- You think that there is a lot of growth potential in the company Bitanic Inc., the maker
Bitcoin wallet "unsinkable". The company just paid a yearly dividend of $1.00 and you expe
next 5 years. After this (t>5), you expect the dividend to grow at a more reasonable 8% per
the required rate of return for this stock is 9.5% per year.
a) What is the current value of the company according to your assumptions?
b) What is the present value of growth opportunities (PVGO) if you expect the earnings for
b) what is the implied rate of return for this company if you observe that its current market
02.4
- You are trying to value Thundervroom Inc., a promising start-up electric car manufactu
company will happen in three distinct phases. You think that the first high-growth phase of
that, you estimate an intermediate growth rate of 12%/year until year 10. After that, the lon
a company that pays 60% of their profits as dividends and can earn 12%/year on new invest
rate of return should be 9%/year. The company does not currently pay a dividend, but you e
dividend of $2.00 at year 5.
c) The current share price is actually $45.00 which makes this company (under/over valued?
your investment if you buy shares today and sell them at year 5? Assume that the shares w
02.5
- You are currently analysing Almost-C-Tru Inc., a very boring company that manufactur
paid 1.34 M$ in yearly dividend to its shareholders and you expect this to grow at the same
bank is currently forecasting a real GDP growth of 4%/year with an inflation rate of 2%/year
a) What is the current value of the company if you use the CAPM to find the required rate o
based on the past 5 years of monthly returns. You estimate that the expected return of the
free rate is 2% per year.
erm growth rate (H-Model), should you expect a higher or lower valuation?
a of the H-model.
t=0 is 15%, linearly declines until growth from t=5 to t=6 is 8%)
0, 4.20, 4.40, 7.00 and 7.50 USD over the
timate that the terminal value of the
stock today if the required return for this
per share and you forecast a long-term
re.
iate way to calculated the required rate
ars of monthly returns. You estimate that
r.
r of a security software that makes a
ect it to grow by 15% per year over the
year. Using the CAPM, you estimate that
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year 1 to be 1.60$/share ?
t capitalization is actually 120 M$ ?
urer. You estimate that the growth of the
20%/year will last until year 7. After
ng-term growth should be coherent with
tments. You estimate that the required
expect that they will start with a yearly
?). What yearly return can you expect on
will be fairly valued at that point.
res commercial toilet paper. It has just
e rate as the overall economy. The central
r.
of return? You calculated a beta of 0.9
market is 8% per year and that the risk-
r=
10% per year
t
0
1
2
D
4
4.2
V
PV(CF)
3.64
3.47
V0
69.52
Answer
$
69.52
CAPM
r=E(Ri)
rf
Bi
10.40%
5%
1.2
GGM because only one growth rate
per year
quarterly
D0
???
$
2.60 It would be w
g
6%
1.4674%
D1
$
2.6382 D1 is paid in o
r
10.40%
2.5043%
V0=
$
254.41
Answer
$
254.41
b) Is the stock fairly valued, undervalued or overvalued according to your analysis?
02.1
- According to your financial analysis, GameGo Inc. should pay a yearly dividend of 4.00
next 5 years. The next dividend is due in exactly 1 year. Using a comparative model, you esti
stock in 5 years (just after the dividend is paid) will be 80.00 USD
. What is the value of this
this level of risk is 10% per year?
02.2
- The robot vaccuum company TidyRobots Inc. just paid a quarterly dividend of $2.60 p
dividend growth of 6% per year for the company. The current market price is 301.23 $/shar
a) What is the current value of the stock if you assume that the CAPM model is an appropri
return for the shares of this company? You calculated a beta of 1.2 based on the past 5 year
the expected return of the market is 9.5% per year and that the risk-free rate is 5% per year
Answer
Overvalued, it sells for more than what it's worth.
c) What is the implied dividend growth rate that corresponds to the price observed today?
V0=P0=
$
301.23
D0
$
2.6000 per quarter
r
2.5043% per quarter
Implied g
1.6272% per quarter
Implied g
6.6693% per year
Answer
6.6693% per year
> than my estimate --> overvalued
a) What is the value of this stock according to your two-stage DDM model?
gS
15% per year
gL
8% per year
r
9.50% per year
t (years)
0
1
2
growth from previous year
15%
15%
15%
D
$
1.00 $
1.15 $
1.32
Terminal Value GGM (V5)
PV
$
1.05 $
1.10
V0
$
97.80
Answer
$
97.80
b) If you instead assume that the initial growth rate will linearly decline towards the long-te
Answer
Lower, because the growth is now less than 15% from years 1 to 5.
c) Calculate the stock value with the growth assumption of b) and the approximate formula
D0
$
1.00
gS
15% per year
gL
8% per year
02.3
- You think that there is a lot of growth potential in the company Bitanic Inc., the maker
Bitcoin wallet "unsinkable". The company just paid a yearly dividend of $1.00 and you expe
next 5 years. After this (t>5), you expect the dividend to grow at a more reasonable 8% per
the required rate of return for this stock is 9.5% per year.
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r
9.50% per year
H
2.5 years
because 2H =
V0 ≈
$
83.67
Answer
$
83.67
d) Calculate the exact stock value with the growth assumption of b). (Growth from t=-1 to t
gS
15% per year
gL
8% per year
r
9.50% per year
t (years)
0
1
2
growth from previous year
15%
13.83%
12.67%
D
$
1.00 $
1.14 $
1.28
Terminal Value GGM (V5)
PV
$
1.04 $
1.07
V0
$
84.17
Answer
$
84.17
a) What is the current value of the company according to your assumptions?
gS
20% per year
gM
12% per year
gL
4.80% per year
r
9.00% per year
t (years)
0
1
2
growth from previous year
20%
20%
20%
D
$
-
$
-
$
-
Terminal Value GGM (V10)
PV
$
-
$
-
V0
$
51.95
Answer
$
51.95
b) What is the present value of growth opportunities (PVGO) if you expect the earnings for
02.4
- You are trying to value Thundervroom Inc., a promising start-up electric car manufactu
company will happen in three distinct phases. You think that the first high-growth phase of
that, you estimate an intermediate growth rate of 12%/year until year 10. After that, the lon
a company that pays 60% of their profits as dividends and can earn 12%/year on new invest
rate of return should be 9%/year. The company does not currently pay a dividend, but you e
dividend of $2.00 at year 5.
V0
$
51.95
E1
1.6
r
9.00%
% of V0
PVGO
$
34.17
0.657759068
Answer
$
34.17
About 2/3 of the company's value comes from its growth op
t (years)
0
1
2
growth from previous year
20%
20%
20%
D
$
-
$
-
$
-
Terminal Value GGM (V10)
PV at t=5
P5=V5=
$
79.92
P0
$
45.00
total return
77.61%
yearly return
12.17%
Company is undervalued
Answer
12.17%
per year
You earn more than the required 9% because
CAPM
r=E(Ri)
rf
Bi
7.40%
2%
0.9
GGM because only one growth rate
per year
D0
$
1,340,000 This is in total, not per shar
g
6%
D1
$
1,420,400
r
7.40%
c) The current share price is actually $45.00 which makes this company (under/over valued?
your investment if you buy shares today and sell them at year 5? Assume that the shares w
02.5
- You are currently analysing Almost-C-Tru Inc., a very boring company that manufactur
paid 1.34 M$ in yearly dividend to its shareholders and you expect this to grow at the same
bank is currently forecasting a real GDP growth of 4%/year with an inflation rate of 2%/year
a) What is the current value of the company if you use the CAPM to find the required rate o
based on the past 5 years of monthly returns. You estimate that the expected return of the
free rate is 2% per year.
V0=
$
101,457,143
Answer
$
101,457,143
b) What is the implied rate of return for this company if you observe that its current market
GGM because only one growth rate
per year
D0
$
1,340,000 This is in total, not per shar
g
6%
D1
$
1,420,400
r
7.183666667%
V0=P0=
$
120,000,000
Answer
7.18367%
per year
Less than your estimate, which explains the hi
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3
4
5
4.4
7
7.5
80
3.31
4.78
54.33
E(Rm)
9.50% per year
wrong to model this as a yearly dividend since it wouldn't accurately reflect the time value of mone
one quarter here.
0, 4.20, 4.40, 7.00 and 7.50 USD over the
timate that the
terminal value of the
s stock today if the required return for
per share and you forecast a long-term
re.
iate way to calculate the required rate of
rs of monthly returns. You estimate that
r.
3
4
5
6
15%
15%
15%
8%
$
1.52 $
1.75 $
2.01 $
2.17
$
144.82
$
1.16 $
1.22 $
93.27
erm growth rate (H-Model), should you expect a higher or lower valuation?
a of the H-model.
r of a security software that makes a
ect it to grow by 15% per year over the
year. Using the CAPM, you estimate that
5 years
t=0 is 15%, linearly declines until growth from t=5 to t=6 is 8%)
3
4
5
6
11.50%
10.33%
9.17%
8.00%
$
1.43 $
1.58 $
1.72 $
1.86
$
124.01
$
1.09 $
1.10 $
79.87
b
40.0%
ROE
12% per year
gL
4.800%
3
4
5
6
7
8
9
20%
20%
20%
20%
20%
12%
12%
$
-
$
-
$
2.00 $
2.40 $
2.88 $
3.23 $
3.61
$
-
$
-
$
1.30 $
1.43 $
1.58 $
1.62 $
1.66
year 1 to be 1.60$/share ?
urer. You estimate that the growth of the
20%/year will last until year 7. After
ng-term growth should be coherent with
tments. You estimate that the required
expect that they will start with a yearly
0
1
2
3
8%
9%
10%
11%
12%
13%
14%
15%
Growth ra
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pportunities.
3
4
5
6
7
8
9
20%
20%
20%
20%
20%
12%
12%
$
-
$
-
$
2.00 $
2.40 $
2.88 $
3.23 $
3.61
$
2.00 $
2.20 $
2.42 $
2.49 $
2.56
you bought it at a bargain.
E(Rm)
8.00% per year
re.
?). What yearly return can you expect on
will be fairly valued at that point.
res commercial toilet paper. It has just
e rate as the overall economy. The central
r.
of return? You calculated a beta of 0.9
market is 8% per year and that the risk-
t capitalization is actually 120 M$ ?
re.
igher observed value.
ey.
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10
11
12%
4.8%
$
4.05 $
4.24
$
100.96
$
44.36
4
5
6
ate
10
11
12%
5%
$
4.05 $
4.24
$
100.96
$
68.25
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- The dividend yield (i.e. D1/P0) is a good measure of the expected return on a common stock under which of the following circumstances? g = 0 g > 0 g < 0 g is expected to remain constant over time under no circumstancesarrow_forwardThe return earned for Asman stock is between time 1 and time 2 is ??? The between time 2 and time 3 is ??? The between time 3 and time 4 is ??? Your investment in Salinas stock yielded an annual rate of return between time 1 and time 2 ??? The between of time 2 and time 3 is ??? The between time 3 and time 4 is ???arrow_forwardSuppose you observe the following situation: Probability of Rate of Return if State Occurs State of Economy Recession Normal Irrational exuberance State 0.25 0.55 0.20 Stock A -0.14 0.07 0.42 Stock B -0.12 0.07 0.22 a. Calculate the expected return on each stock. (Round the final answers to 2 decimal places.) Expected Return Stock A Stock B % % b. Assuming the capital asset pricing model holds and stock A's beta is greater than stock B's beta by 0.55, what is the expected market risk premium? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Expected market risk premium %arrow_forward
- Compare and contrast constant growth model and zero growth model in stock valuation. Support your answer with examples.arrow_forwardWhich of the following statements is CORRECT? a. The constant growth model takes into consideration the capital gains investors expect to earn on a stock. b. Two firms with the same expected dividend and growth rate must also have the same stock price. c. It is appropriate to use the constant growth model to estimate a stock's value even if its growth rate is never expected to become constant. d. If a stock has a required rate of return rs = 12%, and if its dividend is expected to grow at a constant rate of 5%, this implies that the stock's dividend yield is also 5%. e. The price of a stock is the present value of all expected future dividends, discounted at the dividend growth rate. provide an explanation for the choice.arrow_forwardIs the following equation correct for finding the value of a constant growth stock? Explain.arrow_forward
- Which of the following will (holding everything else constant) cause the price earnings (P/E) ratio of a stock to decrease: The required return increases The risk-free rate decreases The stock's beta decreases The required return decreasesarrow_forwardThe value of an asset is the present value of the expected returns from the asset during theholding period. An investment will provide a stream of returns during this period, and it isnecessary to discount this stream of returns at an appropriate rate to determine the asset’spresent value. A dividend valuation model such as the following is frequent. where:Pi = the current price of Common Stock iD1 = the expected dividend in Period 1ki = the required rate of return on Stock igi = the expected constant-growth rate of dividends for Stock iA. Identify the three factors that must be estimated for any valuation model, and explain whythese estimates are more difficult to derive for common stocks than for bonds.B. Explain the principal problem involved in using a dividend valuation model to value :(1) companies whose operations are closely correlated with economic cycles.(2) companies that are of very large and mature.(3) companies that are quite small and are growing rapidly.arrow_forwardAssume that you are using the Capital Asset Pricing Model (CAPM) to find the expected return for a share of common stock. Your research shows the following: Beta = βi = 1.54 Risk free rate = Rf = 2.5% per year Market return = E(RM) = 6.5% per year Based on this information, answer the following: A. Based on the beta, how does the stock's risk compare to the market overall? On what do you base your answer? B. Based on the beta, how would you expect the stock's returns to react to a decrease in returns in the market overall? Why? C. According to the CAPM and the information given above, what is the expected return E(Ri) for this stock? D. If the required rate of return on this stock were 7% per year, would you invest? Why or why not?arrow_forward
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ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
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