1. The table below shows the no-arbitrage prices of securities A and B. The economy is equally likely to strengthen or weaken in one year. Security A B Market Price Today 231 346 Cash Flow in One Year Strong Economy Weak economy 0 600 600 0 a. What are the payoffs of a portfolio of one share of security A and one share of security B? b. What is the market price of this portfolio? What expected rate of return will you earn from holding this portfolio? c. What is the risk-free interest rate?
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- The table here shows the no-arbitrage prices of securities A and B that we calculated.Cash Flow in One YearSecurity Market Price Today Weak Economy Strong EconomySecurity A 231 0 600Security B 346 600 0a. What are the payoffs of a portfolio of one share of security A and one share of security B?b. What is the market price of this portfolio? What expected return will you earn from holdingthis portfolio Suppose security C has a payoff of $600 when the economy is weak and $1800 when the economy isstrong. The risk-free interest rate is 4%.a. Security C has the same payoffs as which portfolio of the securities A and B in problem A-1?b. What is the no-arbitrage price of security C?c. What is the expected return of security C if both states are equally likely? What is its riskpremium?d. What is the difference between the return of security C when the economy is strong and when itis weak?e. If security C had a risk premium of 10%, what arbitrage opportunity would be available?The following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC). Based on the graph, complete the table that follows: CAPM Elements Value Risk-free rate (rRF) Q1 Market risk premium (RPM) Q2 Happy Corp. stock’s beta Q3 Required rate of return on Happy Corp. stock Q4 An analyst believes that inflation is going to increase by 2.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML. Calculate Happy Corp.’s new required return. Then, on the graph, use the green points (rectangle symbols) to plot the new SML suggested by this analyst’s prediction. Happy Corp.’s new required rate of return is Q5.____ The SML helps determine the risk-aversion level among investors. The higher the level of risk aversion, the Q6.____ the slope of the SML. Q7. Which of the…1. You are trying to plan your investments for the next year. You havedecided that the market will either be strong (a bull market), weak (abear market) or normal. You think that stocks, bonds, and bills will earn the following retruns in these secnarios:You have also decided that you have a risk-aversion (A) of 8. (a) What is the expected return for each of the securities?(b) What is the volatility of each security return?(c) What is the covariance between stock and bond returns?
- An analyst is evaluating securities in a developing nationwhere the inflation rate is very high. As a result, the analyst has been warned not to ignorethe cross-product between the real rate and inflation. If the real risk-free rate is 5% andinflation is expected to be 18% each of the next 4 years, what is the yield on a 4-year securitywith no maturity, default, or liquidity risk?Suppose the 1-year futures price on a stock-index portfolio is 1,914, the stock index currently is 1,900, the 1-year risk-free interest rate is 3%, and the year-end dividend that will be paid on a $1,900 investment in the market index portfolio is $40.a. By how much is the contract mispriced?b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in riskless profits equal to the futures mispricing.c. Now assume (as is true for small investors) that if you short sell the stocks in the market index, the proceeds of the short sale are kept with the broker, and you do not receive any interest income on the funds. Is there still an arbitrage opportunity (assuming that you don’t already own the shares in the index)? Explain.d. Given the short-sale rules, what is the no-arbitrage band for the stock-futures price relation-ship? That is, given a stock index of 1,900, how high and how low can the futures price be without giving rise to arbitrage opportunities?The following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC). Based on the graph, complete the table that follows. For graph see image 13a CAPM Elements Value Risk-free rate (rRFRF) Market risk premium (RPMM) Happy Corp. stock’s beta Required rate of return on Happy Corp. stock An analyst believes that inflation is going to increase by 2.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML. Calculate Happy Corp.’s new required return. Then, on the graph, use the green points (rectangle symbols) to plot the new SML suggested by this analyst’s prediction. Happy Corp.’s new required rate of return is _____?. For grapgh see image 13b The SML helps determine the level of risk aversion among investors.…
- Using CAPM to determine the expected rate of return for risky assets, consider the following example stocks, assuming that you have already compute the betas Stock Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that we expect the economy’s RFR to be 5 percent (0.05) and the expected return on the market portfolio (E(RM)) to be 9 percent (0.09), 1, what would this imply? With these inputs, what would the be the following required rate of returns for these five stocks, show the formula for each in your calculations.Suppose the rate of return on short-term government securities (perceived to be risk-free) is about 7%. Suppose also that the expected rate of return required by the market for a portfolio with a beta of 1 is 13%. According to the capital asset pricing model: a. What is the expected rate of return on the market portfolio? (Round your answer to 2 decimal places.) b. What would be the expected rate of return on a stock with β = 0? (Round your answer to 2 decimal places.) c. Suppose you consider buying a share of stock at $47. The stock is expected to pay $3.5 dividends next year and you expect it to sell then for $49. The stock risk has been evaluated at β = –.5. Is the stock overpriced or underpriced? A. Underpriced B. OverpricedAn Overview of Financial Management and the Financial Environment Differentiate between the following types of markets: physical asset vs. financial markets, spot vs. futures markets, money vs. capital markets, primary vs. secondary markets, and public vs. private markets the real risk free rate of interest is 3%. Inflation is expected to be 2% this year and 4% during the next 2 years. Assume that the maturity risk premium (MRP) is zero. What is the yield on a 2 year Treasury security? What is the yield on 3 year Treasury securities? If Apple Computer decided to issue additional common stock, and someone purchased 100 shares of this stock from Merrill Lynch, the underwriter, would this transaction be a primary market transaction or a secondary market transaction? Would it make a difference if the investor purchased previously outstanding Apple stock in the dealer market?
- Suppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.70 0.180 Repete Co. 1.39 0.153 What is the risk - free rate? (Do not round intermediate calculations. Round the final answer to 3 decimal places.) Risk - free rate % Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected Return on Market Pete Corp. % Repete Co. %Suppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.70 0.180 Repete Col 1.39 0.153 What is the risk-free rate? (Do not round intermediate calculations. Round the final answer to 3 decimal places) Risk-free rate % Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected Return on Market Pete Corp. Repete Co.%You are considering an investment in Justus Corporation's stock, which is expected to pay a dividend of $2.00 a share at the end of the year (D1 = $2.00) and has a beta of 0.9. The risk-free rate is 3.1%, and the market risk premium is 4.0%. Justus currently sells for $31.00 a share, and its dividend is expected to grow at some constant rate, g. Assuming the market is in equilibrium, what does the market believe will be the stock price at the end of 3 years? Do not round intermediate calculations. Round your answer to the nearest cent.