Suppose that the borrowing rate that your client faces is 9%. Assume that the equity market index has an expected return of 13% and standard deviation of 25%, that rf = 5%. Draw a diagram of your client’s CML, accounting for the higher borrowing rate. Superimpose on it two sets of indifference curves, one for a client who will choose to borrow, and one for a client who will invest in both the index fund and a money market fund.
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Suppose that the borrowing rate that your client faces is 9%. Assume
that the equity market index has an expected return of 13% and standard deviation of 25%, that rf = 5%.
Draw a diagram of your client’s CML, accounting for the higher borrowing rate. Superimpose on it two sets of indifference
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- Suppose that you have access to two funds. Fund 1 has a ČAPM beta of 0.4, Fund 2 has a CAPM beta of 1.9. Fund 1 has an average return of 8.5% and Fund 2 has an average return of 10.5%. The riskless rate is 5% and the market risk premium is 7%. You would like to construct a Betting-against-Beta (BaB) strategy by levering up Fund 1 and delevering Fund 2 so that both have a beta of 1.75. Assume that you can borrow and lend at the riskless rate. What is the expected return on the zero-cost strategy long in levered Fund 1 and short in delevered Fund 2? A.8.00% B.4.39% C.2.93% D.10.25%Write out the equation for the Capital Market Line (CML), and draw it on the graph. Interpret the plotted CML. Now add a set of indifference curves and illustrate how an investors optimal portfolio is some combination of the risky portfolio and the risk-free asset. What is the composition of the risky portfolio?In the following exercise, separate the investments according to the type of Keynesian demand they are: Transactions (0% to 5%), Precautionary (6% to 9%), and Speculative demand (greater than 10%). Investment in each category has the same risk. So you want to invest in the highest return for the same risk. Take each demand type and choose the highest return and put that amount into the investment. For example, if Bond fund A has a return of 4% and Fund B has a return of 5%, they have the same risk, so you would put $70 into bond fund B. You have the following investments Opportunities ad returns. Fidelity Bonds 11% Fidelity Magellan 9% Putman Bonds one 4% Putman bonds Two 12% Growth Stock One 15% Growth and Income 8% Income Fund 3% Putman Growth…
- Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .Assuming two risk-free rates for lending and borrowing in the market: r(f) and r(b). Suppose your utility function is described by U = E(r) - 0.5A xo² with A> 0, and you are combining the risk-free asset with the optimal risky asset to maximize the utility. Consider the following two situations: 1. Suppose r(b) = r(f): you form the optimal complete portfolio C1 by borrowing money at r(f) and invest y1 (i.e., y1 represents portfolio weight) in the optimal risky portfolio (P1). Your utility score under this situation is denoted as U1; II. Suppose r(b) >r(f): you form another optimal complete portfolio C2 by borrowing money at r(b) and invest y2 (1.e., y2 represents portfolio weight) in the optimal risky portfolio (P2). Your utility score under this situation is denoted as U2. For simplicity, let's assume the optimal risky portfolios under these two situations are the same (i.e., E(P1)=E(P2) and o(P1) = o(P2)). What are the relationship between y1 and y2, U1 and U2: O a. y1=y2 and U1=U2 O…Suppose the estimated linear probability model used by an FI to predict business loan applicant default probabilities is PD = .03X1+ .02X2 - .05X3+ error, where X1 is the borrower's debt/equity ratio, X2is the volatility of borrower earnings, and X3= 0.10 is the borrower’s profit ratio. For a particular loan applicant, X1= 0.75, X2= 0.25, and X3= 0.10. Required: What is the projected probability of default for the borrower? What is the projected probability of repayment if the debt/equity ratio is 2.5?
- Consider the following performance data for a portfolio manager: Benchmark Portfolio Index Portfolio Weight Weight Return Return Stocks 0.65 0.7 0.11 0.12 Bonds 0.3 0.25 0.07 0.08 Cash 0.05 0.05 0.03 0.025 a.Calculate the percentage return that can be attributed to the asset allocation decision. b.Calculate the percentage return that can be attributed to the security selection decision.You plan to invest in either a mutual fund X or mutual fund Y. The following information about the annual return (%) of each of these investments under different demand levels is available, along with the probability that each of these states of nature will OCcur: Demand Probability Fund X Fund Y High 0.4 30% 25% Medium 0.4 22% 34% low 0.2 17% 25% a) Compute expected return, standard deviation for each investment and covariance of the mutual fund X and mutual fund Y. b) Would you invest in the mutual fund X or Y? Explain. c) If you chose to invest in mutual fund X and the state of nature turns up to be the low demand, what do you think about the possibility of the opportunity loss of 8% in comparison to investing in mutual fund Y?1)Please briefly define the following terms Risk Aversion Risk-Neutral Diversification Unsystematic Risk (also give examples) Systematic Risk (also give examples) 2)Please just list the four basic sources of long term funds. 3)Please explain the difference between the terms interest rate and required return by defining each. 4)Suppose you have a portfolio of Vestel and Turkcell with a beta of 1.8 and 0.9, respectively. If you put 29% of your money in Vestel, and the rest in Turkcell, what is the beta of your portfolio?
- Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items. Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML?d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph Please answer A, B, C & D. Write out the equation for the Capital Market Line(CML), and draw it on the graph. Interpret theplotted CML. Now add a set of indifference curvesand illustrate how an investor’s optimal portfoliois some combination of the risky portfolio and therisk-free asset. What is the composition of the riskyportfolio?9. Suppose you plan to form your overall investment portfolio in two steps: STEP 1: Choose a portfolio of stocks with a zero position in the risk-free asset. STEP 2: Allocate your money between the portfolio from Step 1 and the risk-free asset. Suppose you can borrow and lend as much as you want at the risk-free rate in Step 2. Let Erp be the expected return of the Step 1 portfolio. Let Var(rp) be the variance of the return of the Step 1 portfolio. Let rf be the risk-free rate. How will you form the Step 1 Portfolio? Set the Step 1 portfolio to maximize Erp SettheStep1portfoliotominimizeVar(rp) Set the Step 1 portfolio to maximize Erp - Var(rp) Set the Step 1 portfolio to maximize the ratio Erp/Var(rp) Set the Step 1 portfolio to maximize the ratio (Erp- rf)/Var(rp) None of the above.