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?

Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) /n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.i) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?ii) Find A as a function of w.

. The following questions are related to modern portfolio theory. • Assume there are only two stocks in the equity market. •The risk-free rate is 1.00%. Stock Return Volatility Correlation Matrix Y 0.7 1.0 X Y X 15.00% 20.00% 1.0 10.00% 15.00% 0.7 (a) Make an investment portfolio using the risky assets that has an expected return 12%. (b) Calculate the volatility of the portfolio in (a).

portfolio.. - Word **** References Mailings Review View Help RCM Acrobat Foxit Reader PDF Foxit PDF 5. The risk-free rate and the expected market rate of return are 0.04 and 0.14, respectively. According to the capital asset pricing model (CAPM), the expected rate of return on security X with a beta of 1.25 is equal to: a. 0.004 b. 0.165 C. 0.121 d. 0.132

Consider the following portfolio choice problem. The investor has initial wealth w and utility u(x)=. There is a safe asset (such as a US government bond) that has net real return of zero. There is also a risky asset with a random net return that has only two possible returns, R₁ with probability 1-q and Ro with probability q. We assume R₁ 0. Let A be the amount invested in the risky asset, so that w - A is invested in the safe asset. 1) Does the investor put more or less of his portfolio into the risky asset as his wealth increases?

Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22 Aggressive Stock -3% 35 Defensive Stock 4% 12 Required: a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%.

Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows:   Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1       Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.)   b. Could the equilibrium rƒ be greater than rate of return?

Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22 Aggressive Stock -3% 35 Defensive Stock 4% 12 Required: a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%. Complete this question by entering your answers in the tabs below. Required A Required B Required E What are the betas of the two stocks? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Aggressive stock Defensive stock Beta

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…