Suppose that the rate of return on risky assets is given by the following single factor model: ri = E(r;) + BiF + e; where F is the factor affecting returns on all securities and e; is a firm-specific dis- turbance. The risk-free rate is 4% and borrowing at this rate is possible. Two well- diversified portfolios P and Q are found to have the following expected returns and betas: E(rp) = 12% E(rq) = 15% Bp = 0.8 BQ = 1 (a) Is the data consistent or inconsistent with Arbitrage Pricing Theory? Explain. (b) Construct a zero investment portfolio that yields a sure profit and does not involve borrowing. What are the weights of P and Q in your portfolio? Are you investing in bills?

Help me with part E please. Thank you so much a) Discuss the main assumptions of the Capital Asset Pricing Model (CAPM).  (b) Write the equation of the Security Market Line (SML). Compute and draw theSML when the expected return of the NASDAQ index (market portfolio) is17% and the return to the risk-free asset is 7%. (c) Given the SML in (b), compute the beta and the expected return of the newshare Facebook assuming the volatility of the NASDAQ index (market portfolio) is 23.86% and its covariance with the share is 0.0655. (d) Facebook pays a dividend of 5 GBP and the growth of dividends is equal to 4%for the first two years and then rise to 6%. Assuming constant cost of capitalas computed in point (c), estimate the price of the Facebook share.  (e) Consider investing 20% of your wealth in the Facebook share with beta as in, What is the proportion you need to allocate to the Apple share with beta1.8 in order to replicate the market portfolio?

Consider the following information (Assume that Security M and Security N are in the same financial market and the market is efficient):                       Standard Deviation               BetaSecurity M               20%                              1.25Security N                30%                              0.80 Which security has more systematic risk? Group of answer choices Security M Security N Equal

Consider two well-diversified portfolios: Portfolio 1 has an expected return of 8% and a beta of 0.80 while Portfolio 2 has an expected return of 13% and a beta of 1.50. If the risk-free rate is 1.5%, which portfolio would a rational risk-averse investor prefer and why? O A. Portfolio 2 because it has the higher reward to risk ratio. O B. Portfolio 1 because it has the higher reward to risk ratio. OC. Portfolio 2 because it has the higher reward. O D. Portfolio 1 because it has the lower risk.

Suppose that there are two independent economic factors, F1 and F2. The risk-free rate is 6%, and all stocks have independent firm- specific components with a standard deviation of 53%. Portfolios A and B are both well-diversified with the following properties: Portfolio A B Beta on F1 1.5 2.5 Beta on F2 Expected Return 1.9 -0.19 31% 28% Required: What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP1 and RP2 to complete the equation below. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. = E(rp) rf+(PP1 x RP1) + (BP2 x RP2) % RP1 % RP2 %

The Capital Asset Pricing Model (CAPM) says that the risk premium on a stock is equal to its beta times the market risk premium. ..... True False

Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…

Consider the following single factor specification: R₁ = a¡ + ßi, Rµ + €i. Where R; is the return on security i, RM is the return on index M (a broad market index) and e, is a zero- mean white noise random variable not correlated with anything. Assume that the single factor specification above correctly describes the return generating processes of all securities. Furthermore, you have the following descriptive statistics for returns of well-diversified Portfolios X, Y, and index M. Portfolio X Portfolio Y Index M Risk-Free Expected return 14% 17% ?? ?? B₁ 1.2 1.6 1 0 a. Assume that the corresponding single factor APT correctly prices Portfolios X and Y. In other words, the expected returns of Portfolios X and Y shown above - 14% and 17% respectively - are equal to their APT-predicted expected returns. Calculate the expected return of Index M and risk-free rate. b. Another well-diversified portfolio Z has a beta, ßz, of 0.8 while its expected return is 10%. Form a portfolio consisting…

Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.

help me with part C please. thank you so much (a) Discuss the main assumptions of the Capital Asset Pricing Model (CAPM). (b) Write the equation of the Security Market Line (SML). Compute and draw theSML when the expected return of the NASDAQ index (market portfolio) is17% and the return to the risk-free asset is 7%. (c) Given the SML in (b), compute the beta and the expected return of the newshare Facebook assuming the volatility of the NASDAQ index (market portfolio) is 23.86% and its covariance with the share is 0.0655.