If the stocks are less risky than bonds, then the risk premium on stock may be zero. Assuming that the risk-free interest rate is 2 percent, the growth rate of dividends is 1 percent and the current level of dividends is $70, use the dividend-discount model to compute the level of the S&P 500 that is warranted by the fundamentals. Compare the result to the current S&P 500 level of 4300, and explain one possible reason for the difference.
The Dividend Discount Model (DDM), a quantitative approach to determining a company's stock price, works under the premise that the current fair price of a stock is equal to the total of all of the company's future dividends discounted back to their present value.
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- Using the CAPM theory, if the Volatility of a stock is twice as great as the market, the market return on stocks in general (using the S&P 500 as a proxy) is 12 %, and treasury bills are yielding 2%, what is the return that investors in that security can expect? C r = Rf + beta x (Km - Rf) where r is the expected (required) return rate on a security (based on how risky it is); Rf is the rate of a "risk-free" investment, i.e. cash; Km is the return rate of the appropriate asset class (Market Return) Beta measures the volatility of the security, relative to the asset class. 12% 16% 22% Capital Assets Pricing Model 20%arrow_forwardPlease solve M14 and M15arrow_forwardAssume the risk-free rate is 3% and the market return is 10%. Stock X Stock Y Stock Z Beta 0.65 0.90 Current price $13.50 $26.50 Correlation (X/Y) = 0.35 (X/Z) = 0 (Y/Z) = 0.55 a) Most equity research concludes that Stock X is much more volatile compared to the “market". On average, Stock X's volatility is about 1.5 times that of the stock market. Based on CAPM, estimate the required return of Stock X. b) It is expected that Stock Y will pay a per share dividend of $0.43 one year from now, and the dividend will increase by an average of 6% per year in the foreseeable future. According to CAPM, is Stock Y overvalued or undervalued? c) Assume that Stock Z is fairly-priced today. Stock Z has just paid a dividend of $2. It is expected that its dividend will increase by 50% in the first year, 0% in the second year, 10% in the third year, and starting from the fourth year, the company will maintain the dividend growth rate to be 5% forever. How much would Stock Z be worth today if its…arrow_forward
- Suppose the market risk premium is 5% and the risk-free interest rate is 4%. Using the data, calculate the expected return of investing in a. Starbucks’ stock-Equity Beta:0.80b. Hershey’s stock-Equity Beta:0.33c. Autodesk’s stock-Equity Beta:1.72arrow_forwardStock Z has a beta of 2 and an expected return of 10%. If Treasury Bills currently return 1% and the expected return on the S&P 500 is 7%, is this stock correctly priced, underpriced, or overpriced? Graph the security market line and Stock Z. Label all relevant details. What does beta represent? Explain the concept of market efficiency using your grapharrow_forward← You are thinking of buying a stock priced at $109.31 per share. Assume that the risk-free rate is about 4.03% and the market risk premium is 6.48%. If you think the stock will rise to $118.76 per share by the end of the year, at which time it will pay a $3.48 dividend, what beta would it need to have for this expectation to be consistent with the CAPM? The beta is (Round to two decimal places.) ...arrow_forward
- You expect the risk-free rate to be 4 percent and the market return to be 10 percent. You also have the following information about three stocks. Current Expected Expected Stock Beta Price Price Dividend U 1.5 $10 $11.50 $1.00 N 1.1 $27 $30 $0.00 Ο 0.8 $35 $36 $1.50 (Question 2 of 2) What is the required rate of return (based on the CAPM) for an equally weighted portfolio of the three stocks? (Enter your answer as a percentage, i.e., "10.25" for 10.25 percentarrow_forwardYou live in a world where assets are priced by the CAPM. The following information is given to you regarding stock X. The expected payoff from the stock X=£105.00 Expected return of stock X = 18% Risk-free rate =5% Market Risk Premium = 9% Assume there are no other changes, except that the correlation between the returns of Stock X and the market becomes twice what it is currently. How would this change affect the current price of Stock X? Explain why the change of the correlation causes the observed change in the stock price. [hint: Provide a risk-based explanation]arrow_forwardAnswer the following a) When will the different DCF methods use the same discount rate? b) The cost of debt (ka) will change as the capital structure of a firm changes. Why or why not? c) Why does the cost of equity (k.) increase as the amount of debt in the capital structure of a firm increases? Why? d) Freebie Inc.'s common stock has a beta of 1.3. If the risk-free rate is 4.5% and the expected return on the market is 12%, what is its cost of equity capital? e) Why do branded food companies command the highest EBIT multiple (about 8) and transportation companies the lowest (about 3)? f) Should a firm use its cost of capital as a hurdle/discount rate to value all internal divisions? Why or why not? g) An option can have more than one source of value. Consider a mining company. The company can mine for ores today or wait another year (or more) to mine. What real options can you identify here? h) Do you consider dividend payments by the firm in calculating cash flows? Why or why not? i)…arrow_forward
- A financial analyst for the ZZZ Corporation uses the Security Market line to estimate the cost of equity, Re. The analyst observes the current risk-free interest rate, Rf, is 3%. The analyst estimates that ZZ has a beta of 2. If the analyst finds that RE is 13%, what does the analyst use as the value of [E(RM) – R¡]? -arrow_forwardAssume that if M launches a new e-trading platform, its price will go up to $261. Else, M price will go down to $62. You are aware that M shares are being traded at $162. You also know that the risk-free rate is 5%.What is the probability that M price will go down?***Please round your answer to the nearest three decimals (i.e. 0.512)arrow_forwardHelparrow_forward
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