Question 18 What is the expected retum of the following portfolio? E(R) 0.11 0.09 0.05 Stock A Beta 1.9 2.0 0.6 Investment $210,000 $30,000 |$50,000
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- Set up the complete formula for Dollar Weighted Return (DWR) for the following portfolio including final value of the portfolio. Year 0 1 2 3 4 Actions at the ending of the year (Yr0)Starting with $1000 (Yr1)Adding $100 (Yr2)Withdrawing $200 (Yr3)Adding $300 (Yr4)Ending Value = ? ROR during each Yr (Yr0) - (Yr1) 8% (Yr2)-4% (Yr3) 9% (Yr4) 3% A. Calculate the time weighted return (TWR) Complete Questions with respect to ExcelThe investor has R50,000 to invest A, B and C. R12,000 will be invested into asset A. The beta for asset A and asset B is 0.90 and 1.2 respectively. Asset C represents the risk-free asset. If the investor envisages a portfolio equally as risky as the market, how much should be invested into asset B? Which answer is correct? A. 32677 B. 32676 C. 32667 D. 32678Portfolio A returned 9.20% p.a. over the evaluation period compared to 5.00% p.a. for the S&P 500. This equates to a difference, or outperformance of 4.20% p.a. However, according to CAPM, the annualized alpha of portfolio A is 4.74% p.a. Explain the difference between the two numbers. Need typed answer.No playgarism
- Assume that the CAPM is true, Rf = 5%, Rm= 15% σm = 0.1. An investor with $10,000 to invest builds a portfolio, Q, of T-bills and the market portfolio. This means that: a) it would be possible for the investor to obtain a return of 17% on portfolio Q b) if portfolio Q were composed of short-selling $2,000 in T-bills and the remainder is the market portfolio, then Pqm = 1, βq = 1.2 and σq = 0.12 c) to obtain a return of 17% from portfolio Q the investor would need to invest $12,000 in the market portfolio d) all of the above are true e) only a) and b) above are true. Pls show procedure, thanksThe investor has R50,000 to invest A, B and C. R12,000 will be invested into asset A. The beta for asset A and asset B is 0.90 and 1.2 respectively. Asset C represents the risk-free asset. If the investor envisages a portfolio equally as risky as the market, how much should be invested into asset B? A. 32677 B. 32676 C. 32667 D. 32678The investor has R60,000 to invest. R15,000 will be invested into the market portfolio, R10,000 into asset A and R25,000 into asset B. The balance will be invested into the risk-free asset. The beta for asset A and asset B is 0.90 and 1.2 respectively. What is the portfolio beta? What is the correct answer? A. 0.09 B. 0.90 C. 0.91 D. 0.92
- Suppose there are two investments A and B. Either investment A or B has a 4.5% chance of a loss of $15 million, a 2% chance of a loss of $2 million, and a 93.5% change of a profit of $2 million. The outcomes of these two investments are independent of each other. (a) What is the 95% VaR of investment A? How about investment B? (b) What is the 95% for a portfolio consisting of both investments A and B?(Hint: write out the probabilities of all possible portfolio outcomes.) (c) Is the summation of the 95% VaRs of the individual investments greater or smaller than the 95% VaR of the portfolio? If we measure the risk of an investment or portfolio using VaR, does this suggest that diversificationmust decrease risk? (Intuitively, putting A and B in a portfolio is a form of diversification.)Assume that the CAPM is true, ?F = 5%, ?M = 15% ??? ?M = 0.1. An investor with $10,000 to invest builds a portfolio, Q, of T-bills and the market portfolio. This means that a. it would be possible for the investor to obtain a return of 17% on portfolio Q. b. if portfolio Q were composed of short-selling $2,000 in T-bills and the remainder is the market portfolio, then ρQM = 1, βQ = 1.2 and σQ = 0.12. c. to obtain a return of 17% from portfolio Q the investor would need to invest $12,000 in the market portfolio. d. all of the above are true. e. only (a) and (b) above are true.Difficulties in adjusting average returns for risk present a host of issues, as the proper measure of risk may not be obvious, and risk levels may change along with portfolio composition. (i) You purchased a rental property for K50 000 and sold it one year later K55 000. At the time of the sale, of the sale, you paid K2 000 in commission and K600 in taxes. If you received K6 000 in rental income (all of it received at the end of the year), what annual rate of return did you earn? (ii) A two year investment of K2 000 results in a return of K150 at the end of the first year and a return of K150 at the end of the second year, in addition to the return of the original investment. What is the internal rate of return on the investment?
- You invest $1,000 in a risky asset with an expected rate of return of 0.17 and a standard deviation of 0.40 and a T-bill with a rate of return of 0.04.What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a portfolio with an expected return of 0.11? A. 62.5% and 37.5% B. 53.8% and 46.2% C. Cannot be determined. D. 75% and 25% E. 46.2% and 53.8%Security Returns ifState Occurs State of Economy Probability ofState of Economy Roll Ross Bust .40 −11 % 15 % Boom .60 22 5 Calculate the expected return on a portfolio of 50 percent Roll and 50 percent Ross by filling in the following table: (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) State of Economy Probability of State of Economy Portfolio Return if State Occurs Product Bust .40 % % Boom .60 % % E(Rp)= %As per Capital Asset Pricing Model (CAPM) : Re=Rf+(Rm-Rf)βwhere, Re= Required rate of returnRf= Risk free rate of return = 0%Rm = Market return or Expected return on market = 3.3%β = Beta of the stock = 1.24Now, Re= Rf + Rm - Rf βRe= 0 + 3.3 - 0 ×1.24Re= 4.092% To calculate the abnormal return we will use the formula: = E(R) - Re= 3% - 4.092% = -1.092% or - 0.01092 How did you get the 4.092%?