BFN352 - 02 Problem set (1)

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Jan 9, 2024

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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