Problem 7-12 Suppose that there are many stocks In the security market and that the characteristics of stocks A and B are glven as follows: Еxpected Standard Stock Return Deviation A 10 19 11 Correlation Suppose that It is possible to borrow at the risk-free rate, r. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfollo from stocks A and B.) (Do not round Intermedlate calculatlons. Round your answer to 3 decimal places.) Risk-free rate %
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- Suppose you observe the following situation on two securities:Security Beta Expected Return Pete Corp. 0.8 0.12 Repete Corp. 1.1 0.16 Assume these two securities are correctly priced. Based on the CAPM, what is the return on the market?12 Banks use to hedge against risk through options and futures contracts in order to:* A. Reduce risk B. Manage risk C. Avoid risk D. Transfer riskThe market portfolio (M) has the expected rate of return E(rM) = 0.12. Security A is traded in the market. We know that E(rA) = 0.17 and βA = 1.5. (1) What is the rate of return of the risk-free asset (rf)? (2) Security B is also traded in the market. βB = 0.8. Then what is “fair” expected rate of return of security B according to the CAPM? (3) Security C is a third security traded in the market. βC = 0.6, and from the market price, investors calculate E(rC) = 0.1. Is C overpriced or underpriced? What is αC?
- Do not provide solution in imge format. and also do not provide plagarised content otherwise i dislike. Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows:ExpectedStandard DeviationReturn12%175%11-1CorrelationStockABSuppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B. Since they have a perfect negative correlation, the rate of return will be the r Note: Do not round intermediate calculations. Round your answer to 3 decimal places.Risk-free rate%Consider a financial market consisting of a bank account So(t) and a stock S₁ (t) modelled on a probability space (, F, P) with the time indices t = 0, 1, 2, ..., T. Give conditions under which a market is arbitrage-free. Explain what it means to say that a market is complete. Give conditions under which an arbitrage-free market is complete.Assume that security returns are generated by the single-index model, Ri = αi + βiRM + ei where Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 1.4 14 % 23 % B 1.6 16 14 C 1.8 18 17 a. If σM = 22%, calculate the variance of returns of securities A, B, and C. b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)
- Suppose you observe the following situation: Security Beta Expected Return Peat Company 1.70 13.60 Re - Peat Company 0.85 10.80 Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? What is the risk - free rate?Question 2 (a) Evaluate the following statement: "Two stocks should be viewed as equally risky because they have the same standard deviation." (b) Suppose that the relevant equilibrium model is the CAPM with unlimited borrowing and lending at a riskless rate of interest. Assuming, you discovered a security that was located below the security market line. (i) What would you conclude about the pricing of this particular security? (ii) Describe any changes you would expect to occur in its price. (c) Suppose that the relevant equilibrium model is CAPM with unlimited borrowing and lending at a riskless rate of interest. Compute the missing values (a*, b*, c*, d*, e*) in the following table, showing all intermediate steps. Expected Standard Residual Variance Asset Return Deviation Beta A 0.1 a* 0 B b* 2 0.49 C d* 1 0 D e* 0 0.36 0.08 0.12 c* 0.05Exploring Finance: The Security Market Line and Inflation Changes Security Market Line: Inflation Changes Conceptual Overview: Explore how inflation changes the security market line. The Security Market Line defines the required rate of return for a security to be worth buying or holding. The line, depicted in blue in the graph, is the sum of the risk-free return (rf in the slider) and a risk premium determined by the market-risk premium (RPM) multiplied by the security's beta coefficient for risk. Drag the slider below the graph to change the amount of the risk-free return. These changes reflect changes in inflation. Drag left or right on the graph to move the cursor to evaluate securities with different beta coefficients. In this graph, the market-risk premium is fixed at 5%. r = r_{RF} + RP_M * beta = 6\% + 5\% * 1 = 6\% + 5.00\% = 11.00\%r=rRF+RPM∗beta=6%+5%∗1=6%+5.00%=11.00% 1. If the risk-free return were 4.0% and a security's beta coefficient were 2.0, what would be…
- The additional return over the risk-free rate needed to compensate investors for assuming an average amount of risk. a. Market Risk Premium b. Risk-free rate С. Stock's beta O d. Security Market Line e. Required Return on StockAssume that security returns are generated by the single-index model, Ri = alphai + BetaiRM + ei where Ri is the excess return for security i and RM is the market's excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data. Security Betai E(Ri) sigma(ei) A 1.4 15% 28% B 1.6 17% 14% C 1.8 19% 23% a. If simaM = 24%, calculate the variance of returns of securities A, B, and C (round to whole number). Variance Security A Security B Security C b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C (enter the variance answers as a whole number decimal and the mean as a whole number percentage)? Mean Variance Security A ?% Security B ?% Security C ?%Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock Expected Return Standard Deviation A 12 % 4 % B 19 12 Correlation = –1 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.)