2. Assuming the following: Average Return (Risky Portfolio) 3.86% Standard Dev (Risky Portfolio) 10.56% Average Risk Free Rate 2.18% Return on Risk Free Asset Avg 4.15% Using the formula: E(rc)=rf + y* (E(rp) - rf) Solve for:  1. % of Risky Assets (y): 2. % of Risk Free Assets (1-y): Note: You wish to generate a 7% return for your complete portfolio E(rc)

3. A market consists of two risky assets and no risk-free asset. Let R₁ and R₂ denote the return on each of the risky assets. Using market data the following have been estimated: E[R₁] = 0.10, E[R₂] = 0.15, o² = Var(R₁) = 0.1², o² = Var(R₂) = 0.2² and p1,2 = -1/2 where P1,2 denotes the correlation coefficient for R₁ and R₂. (i) Given that an investor is targeting a total expected return of portfolio, what is the minimum variance that can be achieved? = 0.125 on a (ii) Determine the global minimum variance portfolio and the expected return and variance of return on this portfolio. (iii) Using your answers to parts (i) and (ii) make a rough sketch of the minimum- variance set in - o2 space. You should indicate the efficient frontier and the global minimum variance portfolio. (iv) Without further calculation, explain how you would expect the variance of return calculated in (ii) to change if the two risky assets were independent.

PLEASE PUT IT IN EXCEL, IT HAS TO BE IN EXCEL NO OTHER WAY OTHER THEN IN EXCEL. USE EXCEL! Question 2: Consider two risky assets, S and B, with the following characteristics: E(rs) 9%, Os 20% E(TB) 5%, OB 5% and PBS - 1 a) Is it possible to combine the two assets a portfolio such that the portfolio has zero risk (i.e. zero standard deviation)? If so, what is the composition of the zero risk portfolio? b) Suppose that in addition to trading in the risky assets S and B, investors can also freely buy, sell or short-sell a risk-free asset with risk-free rate rf. What must be the risk-free rate re? What would happen otherwise?

(c)) Discuss the following graphic, which shows the relationship between expected return and portfolio weights. The portfolio is comprised of a debt security D and an equity security E. What would the portfolio strategy be when Wp = 2 and ba WE = -1? 38 (33) -0.5 Expected Return 13% 8% Debt Fund 0 (ebenso) esenicut adol leu@ ledol (loorba (ognerloxel) Ismet tametnl Equity Fund 1.0 0 OC) becida nieu to 2.0 w (stocks) AB -1.0 68 XO.YOUTS RO w (bonds)=1-w (stocks) 15 V10 anollesup Figure 7.3 Portfolio expected return as a function of investment proportions la 21101TO

Assume that the variables I, N, and PV represent the interest rate, investment or deposit period, and present value of the amount deposited or invested, respectively. Which equation best represents the calculation of a future value (FV) using: Compound interest? O FV = PV / (1+1)N O FV = PV + (PV XIX N) O FV = PV x (1 + I)N Simple interest? OFV = PV + (PV XIX N) O FV = PV XIX N O FV = PV/(PV XIX N)

Consider the following two assets: Asset                                        Expected return                                    Standard deviation of returns 1                                                        18%                                                                 30% 2                                                          8%                                                                  10% The returns on the two assets are perfectly negatively correlated (i.e. coefficient of -1). Calculate the proportions of assets 1 and 2 that generate a portfolio with a standard deviation of zero. What is the expected return of that portfolio?

Capital asset pricing model (CAPM) For the asset shown in the following table, use the capital asset pricing model to find the required return. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Risk-free rate, RF 1% The required return for the asset is %. (Round to two decimal places.) C Market return, m 5% Beta, b 0.5

Review the table below listing performance metrics for selected assets. The metrics are defined in the same way as in CAPM. Compute the CAPM alpha for the four assets (data attached as image).

Consider following information on a risky portfolio, risk-free asset and the market index. What is the Sharpe ratio of the market index?   Risky portfolio Risk-free asset Market index Average return 8.2% 2% 6% Std. Dev. 26%   20% Residual std. dev. 10%     Alpha 1.4%     Beta 1.2

Consider following information on a risky portfolio, risk-free asset and the market index. What is the M2 of the risky portfolio?   Risky portfolio Risk-free asset Market index Average return 8.2% 2% 6% Std. Dev. 26%   20% Residual std. dev. 10%     Alpha 1.4%     Beta