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1. Give 3 limitations of VaR.
2. Portfolio ABZ has a daily expected return of 0.0634% and a daily standard deviation of 1.1213%. Assuming that the daily 5 percent parametric VaR is R 6 million, calculate the annual 5 percent parametric VaR for a portfolio with a market value of $ 120 million. (Assume 250 trading days in a year and give your answer in Dollars)
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a) Portfolio ABZ has a daily expected return of 0.0634% and a daily standard deviation of 1.1213%. Calculate the daily 1 percent parametric VaR for a $ 120 million portfolio.
(Give the answer in Dollars)
by Bartleby Expert- Portfolio ABZ has a daily expected return of 0.0634% and a daily standard deviation of 1.1213%. Assuming that the daily 5 percent parametric VaR is $6 million, calculate the annual 5 percent parametric VaR for a portfolio with a market value of $ 120 million. (Assume 250 trading days in a year and give your answer in Dollars)
by Bartleby Expert
- Suppose that you have $1 million and the following two opportunities from which to construct a portfolio: a. Risk-free asset earning 13% per year. b. Risky asset with expected return of 27% per year and standard deviation of 40%. If you construct a portfolio with a standard deviation of 28%, what is its expected rate of return? (Do not round your intermediate calculations. Round your answer to 1 decimal place.) Expected return on portfolio %Suppose there is a risk-free asset whose return is 2% and that the market portfolio has an expected return of 10%. The standard deviation of the market portfolio is given 25% 1). Consider an asset that currently sells for $30 and has βi = 0.6. Suppose the asset pays a dividend of $1.5 and the expected price at the end of the period is $30.5. Calcuate the α of this asset. Is it over- or underpriced?2). Consider an asset with βi = 1.25 and expected return of 11%. Can an investor use this asset to make a risk-free profit through arbitrage? Explain your answerConsider a position consisting of a $100,000 investment in asset A and a $100,000 investment in asset B. Assume that the daily volatilities of both assets are 1% and that the coefficient of correlation between their returns is 0.3. What is the 5-day 99% VaR for the portfolio?
- Assume the riskless rate of interest is 2% per year, and the expected rate of return on the market portfolio is 8% per year. According to the CAPM, what is the efficient way for an investor to achieve an expected rate of return of 5% per year? If the standard deviation of the rate of return on the market portfolio is 4%, what is the standard deviation of the portfolio producing the 5% expected return? • Plot the CML and locate the foregoing portfolios on the same graph. • Plot the SML and locate the foregoing portfolios on the same graph.1. Given the following summary statistics, Mean S.D. 1.235 0.997 Asset A 0.52 Asset B. 0.44 (a) If the correlation between the two financial series is 0.25. What are the optimal portfolio weights to minimize risk? (b) What are the expected return and standard deviation of the optimal port- folio? (c) Compute the 1% Value-at-Risk for the next 5 days (d) Compute the expected shortfallSuppose the next month rate of return on a portfolio (worth $1M) is distributed as follows. Return Rate -0.05 -0.03 -0.01 0.00 0.01 0.03 0.04 0.07 0.10 0.12 Probability 1% 1.5% 2.5% 5% 10% 20% 25% 20% 10% 5% What is the expected rate of return given that the return is known to be greater than or equal to 4%?
- The discounted returns on a portfolio are normally distributed with mean 1.2% and volatility 13%. Find the 1% 10-day expected shortfall (ES) assuming the returns are i.i.d. You are given that ϕ(Φ−1(0.01))=0.02265.Assume that you are given the following historical returns for the Market and Security J. Also assume that the expected risk-free rate for the coming year is 4.0 percent, while the expected market risk premium is 15.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. Year 1 2 O21.20% 3 4 5 6 O22.34% O 23.49% O24.63% O24.10% Market 10.00% 12.00% 16.00% 14.00% 12.00% 10.00% Security J 12.00% 14.00% 18.00% 22.00% 18.00% 14.00%Indicate whether the following statements are true or false (circle one). Use 1 or 2 sentences to discuss why it is so. (a) If R, is simple 1-month return, then the annualized return is 12 x R, after assuming all R = R. True False Why? (b) Let and r GSA be continuously compounded 1 - month returns for Goldman Sachs Group (GS) and American International Group (AIG). If we construct a portfolio using the share ain[0, 1] for GS, the portfolio cc return is ľ AIG = 0x*y +(1-x)*r True False Why? (c) In 5. (b)., if 5% quantile of the portfolio cc return is given as AIG, GS, r 40.05 = -0.5, then 5% monthly Value-at-Risk for the $10,000 investment in this portfolio is $10,000 × (-0.5) = -$ 5,000. True False r
- I. Consider the following information about K oll and Nell for one-time period: Suppose that the correlation coefficient between the returns for Koll and Nell is -0.40'. If you invest 30% in Koll and 70% in Nell, what are the expected return and standard deviation of the portfolio? Interpret your results. II. The investor achieved the following annual rate of returns over the last four-year period: 25% in Y1, 15% in Y2, 20% in Y3, 10% in Y4. (a) Calculate the geometric average rate of return for the whole 4 year period. (b) Calculate the logarithmic average rate of return for the whole 4 year period. III. Suppose you have a portfolio of IBM and Dell with a beta of 0.4 and 1.1, respectively. If you put 40% of your money in IBM, 55% in Dell and 5% in the risk-free asset, calculate and interpret the beta of your portfolio. IV. Suppose that the beta value for Kei is 1.5, and the risk-free rate of interest is 4%. The investor wishes to (i) have a shareholding in only one company, Kei, and…What is the expected return of a portfolio that has $8,000 invested in S and $2,000 invested in T? The risk-free rate is 6% and the market portfolio's return is 14%. Do you expect the investment to be a good one for the coming year if betas for the two portfolio components are 0.6 and 1.3, respectively?Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $150,000 or $290,000 with equal probabilities of 0.5. The alternative risk-free investment in T-bills pays 3% per year. Required: a. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio? b. Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio? c. Now suppose that you require a risk premium of 12%. What price are you willing to pay? Complete this question by entering your answers in the tabs below. Required A Required B Required C If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? Note: Do not round your intermediate calculations. Round your answer to the nearest whole dollar amount. Price Required A Required B >