Consider a sequential trade model in which a security has an uncertain value. The value V of the security can either be $170 or $250 with equal probability. The proportion of informed traders is 50%, whereas the proportion of liquidity traders is 50%. As usual, liquidity traders buy or sell with equal probability, whereas informed traders only buy when they know the security price is high. and sell when they know the security price is low. The conditional expectation of V. conditional that the first trade is a buy, is: E[V | Sell] = 190 BELVI Sell]-180 E[V | Sell] 210 DE[V | Sell] - 220 EE[V | Sell]-230 None of the above.
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- Assume that security returns are generated by the single-index model,Ri = αi + βiRM + eiwhere 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 βi E(Ri) σ(ei) A 0.7 7 % 20 % B 0.9 9 6 C 1.1 11 15 a. If σM = 16%, 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.)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.)Consider a security that pays income to its holders (e.g., a dividend-paying stock, or acoupon bond). Should the forward price of this security (for a contract that matures attime T), F0,T, be higher than, lower than, or equal to the security's current spot price?Why?.
- 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?Assume that a security is fairly priced and has an expected rate of return of 0.13. The market expected rate of return is 0.13, and the risk-free rate is 0.04. The beta of the stock is A. 1.7. B. 0.95. C. 1. D. 1.25.Which of the following statements about the Security Market Line are correct? I. The intercept point is the market rate of return. II. The slope of the line is beta. III. An investor should accept any return located above the SML line. IV. A beta of 0.0 indicates the risk-free rate of return
- Exploring Finance: The Security Market Line and Risk Premium Changes Security Market Line: Risk Premium Changes Conceptual Overview: Explore how risk premium changes affect 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 relationship between a security's beta coefficient and the amount of the market risk premium. Drag left or right on the graph to move the cursor to evaluate securities with different beta coefficients. In this graph, the risk-free return is fixed at 6%. 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 market-risk premium were 4% and a security's beta…Consider the following data for two risk factors (1 and 2) and two securities (J and L):λ0 = 0.07 λ1 = 0.04 λ2 = 0.06bJ1 = 0.10 bJ2 = 1.60 bL1 = 1.80 bL2 = 2.45a. Compute the expected returns for both securities. b. Suppose that Security J is currently priced at $50 while the price of Security L is $15.00.Further, it is expected that both securities will pay a dividend of $0.95 during the coming year.What is the expected price of each security one year from now? c. Compute the correlation between stock A and stock B considering the following data.Standard deviation of stock A = 10 percentStandard deviation of stock B = 17 percentCovariance between the two stocks = 90.Assume 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 ?%
- Assume you own a portfolio of diverse securities each of which is correctly priced. Given this, the reward-to-risk ratio: of each security must equal the slope of the security market line. for the portfolio must equal 1.0. for the portfolio must be less than the market risk premium.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.Exploring Finance: Security Market Line. Security Market Line Conceptual Overview: Explore the determinants of 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 rf slider below the graph to change the amount of the risk-free return. These changes reflect changes in inflation. Drag the RPM slider below the graph to change the relationship between a security's beta coefficient and the amount of the market risk premium. Drag left or right on the graph to move the cursor line to evaluate securities with different beta coefficients. 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. For a risk-free return rate of 5%, a…