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- Suppose that you currently have $100,000 invested in a portfolio with an expected return of 13% and a volatility of 8%. The efficient (tangent) portfolio has an expected return of 17% and a volatility of 10%. The risk-free rate of interest is 1%. Suppose that you want to keep the expected return equal to the current rate of 13%. Accordingly, the level of risk you can expect is: 1.00% 3.75% 4.75% 5.15% None of the aboveSuppose you buy 500 shares of Ford at $11 per share and 100 shares of Citigroup stock at $28 per share. If Ford’s share price goes up to $13 and Citigroup’s rises to $40, what is the new value of the portfolio, and what return did it earn?. After the price change, what are the new portfolio weights?You are a consultant to a firm evaluating an expansion of its current business. The cash-flow forecasts (in millions of dollars) for the project are as follows: Years Cash Flow 0 – 100 1-10 + 17 On the basis of the behavior of the firm’s stock, you believe that the beta of the firm is 1.44. Assuming that the rate of return available on risk-free investments is 5% and that the expected rate of return on the market portfolio is 11%, what is the net present value of the project?
- 1. Suppose your expectations regarding the stock market are as follows: State of the Probability HPR Economy Boom 0.3 33% Normal growth 0.3 19 Recession 0.4 -15 a. What is the expected return, variance and standard deviation? 2. Assume that you manage a risky portfolio with an expected rate of return of 13% and a standard deviation of 29%. The T-bill rate is 5%. Your client chooses to invest 75% of a portfolio in your fund and 25% in a T-bill money market fund. a. What is the expected return and standard deviation of your client's portfolio? b. What is the reward-to-volatility ratio (S) of your risky portfolio and your client's overall portfolio? Explain the sharp ratio.Suppose that you have $1 million and the following two opportunities from which to construct a portfolio:a. Risk-free asset earning 12% per year.b. Risky asset with expected return of 30% per year and standard deviation of 40%.If you construct a portfolio with a standard deviation of 30%, what is its expected rate of return?Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $150,000 or $290,000 with equal probabilities of 0.5. The alternative risk-free investment in T-bills pays 3% per year. Required: a. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio? b. Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio? c. Now suppose that you require a risk premium of 12%. What price are you willing to pay? Complete this question by entering your answers in the tabs below. Required A Required B Required C If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? Note: Do not round your intermediate calculations. Round your answer to the nearest whole dollar amount. Price Required A Required B >
- 1. You are trying to plan your investments for the next year. You have decided that the market will either be strong (a bull market), weak (a bear market) or normal. You think that stocks, bonds, and bills will earn the following returns in these scenarios: Scenario Bull market Normal market Bear market Probability 0.20 0.55 0.25 Stock Return 0.25 0.10 -0.15 Bond Return 0.06 0.03 0.02 Bill Return 0.03 0.03 0.03 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? What is the covariance between stock and bond returns? (d) If you combine stocks and bills as an investment, what is your op- timal combination? What is your expected return? What is your portfolio's volatility? (e) If you combine bonds and bills, what is your optimal combination? What is your expected return? What is your portfolio's volatility? (f) If you combine stocks and bonds, what is your optimal…You are a consultant to a firm evaluating an expansion of its current business. The cash-flow forecasts (in millions of dollars) for the project are as follows: Years Cash Flow 0 – 100 1 - 10 + 19 On the basis of the behavior of the firm’s stock, you believe that the beta of the firm is 1.30. Assume that the rate of return available on risk-free investments is 5% and that the expected rate of return on the market portfolio is 15%. a. What is the project IRR? b. What is the cost of capital for the project? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)1. You have $100,000 invested in this portfolio. $55,000 is invested in IBM: Probability of State of Economy 0.15 IBM 0.05 TWTR -0.17 Recession Normal 0.65 0.08 0.12 Вoom 0.20 0.13 0.29 What is the expected return and standard deviation of each stock? What is the portfolio expected return and standard deviation? You are considering adding another stock, DNKN, with a beta of 1.3 to the portfolio. The market risk premium is 8% and the risk-free rate is 2.5%. What is the expected return of this asset? You decide to open a separate account at another brokerage firm. Your goal is to have a portfolio beta of 1.12. The portfolio consists of 20% U.S. Treasury bills, 50% stock A, and 30% stock B. Stock A has a risk- level equivalent to that of the overall market. What is the beta of stock B? Please interpret what this beta measure represents relative to the beta of the market. What is the difference between systematic and unsystematic risk? Be sure to mention which is diversifiable risk and…
- 2B) You have $600,000 to invest in the stock market. Suppose you invested one-third of your wealth in stock Q and the rest in stock L. These stocks have the following characteristics: Stock Q has an expected return of 10% and a standard deviation of 7%. Stock L has an expected return of 18% and a standard deviation of 11%. Determine the expected return and standard deviation on a portfolio of stocks Q and L, when the two stocks are uncorrelated and when they are negatively perfectly correlated. Interpret and compare your answers in these two cases.In this problem we assume that the annual expected rate of return of the market portfolio is 22% and the annual risk-free rate is 2%. The standard deviation of the market portfolio returns is 22%. Assume the market is in equilibrium such that the Capital Asset Pricing Model (CAPM) holds: the market portfolio is efficient. If you have $1,000 to invest, how should you allocate it to achieve an annual expected return of 26%? Invest $260 in the risk-free asset and $740 in the market portfolio Invest $800 in the risk-free asset and $200 in the market portfolio Invest $1,200 in the risk-free asset and sell short $200 in the market portfolio Borrow $260 at the risk-free rate and invest $1,260 in the market portfolio Invest $200 in the risk-free asset and $800 in the market portfolio Borrow $200 at the risk-free rate and invest $1,200 in the market portfolioYou currently have $100000 invested in a portfolio that has an expected return of 12% and a volatility of 8%. Suppose the risk-free rate is 5% and there is another portfolio that has an expected return of 20% and a volatility of 12%. Required: 1. What portfolio has a higher expected return that your portfolio but with the same volatility? 2. What portfolio has a lower volatility than your portfolio but with the same expected return?
