Take the US and JP assets we saw in class. What is the volatility of a portfolio with w1=40% in the US asset and w2=60% in the JP asset? It's equal to ___% (answer a number with one decimal, e.g., 12.3. In the example in class it was 14.7)
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Take the US and JP assets we saw in class.
What is the volatility of a portfolio with w1=40% in the US asset and w2=60% in the JP asset? It's equal to ___% (answer a number with one decimal, e.g., 12.3. In the example in class it was 14.7)
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- Hi, Please answer this question with the information on the slide attached Take the US and JP assets we saw in class. What is the volatility of a portfolio with w1=40% in the US asset and w2=60% in the JP asset? It's equal to ___% (answer a number with one decimal, e.g., 12.3. In the example in class it was 14.7)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 .Suppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum. You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS : E(r)= 0.070584 0.173687 ETFCDA : E(r)= 0.073763 0.16816 Covariance between ETFUS and ETFCDA = 0.02397 Answer the following questions using Excel: What is the optimal portfolio of ETFUS and ETFCDA? Also submit an Excel file to show your work.
- Suppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum. You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS : E(r)= 0.070584 0.173687 ETFCDA : E(r)= 0.073763 0.16816 Covariance between ETFUS and ETFCDA = 0.02397 Answer the following questions using Excel: Draw the opportunity set offered by these two securities (with increments of 0.01 in weight). Hint: In Excel, calculate the portfolio expected return and…Suppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum. You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS : E(r)= 0.070584 0.173687 ETFCDA : E(r)= 0.073763 0.16816 Covariance between ETFUS and ETFCDA = 0.02397 Answer the following questions using Excel: Determine your optimal asset allocation among ETFUS , ETFCDA , and T-bill, in percentage and in dollar amounts. Also submit an Excel file to show your…Suppose two asset returns are described by a 1-factor model = 2% + 0.6f + ej r2= 2% + 0.6f+ e2 where the volatility of fis 30% and the volatility of e and ez is 20%. What is the covariance of r and r2? (Nearest 0.0001)
- What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 25% SDA = 18% WA = 0.75 COVA, B = -0.0009 Select one: A. 13.65% B. 20 U ODN 20.0% C. 18.64% D. 22.5% Asset (B) E(R₂) = 15% SDB = 11% WB = 0.25What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(RA) = 25% SDA = 18% WA = 0.75 COVAB= -0.0009 Asset (B) E(R₂) = 15% SDB = 11% W₁ = 0.25A particular firm’s portfolio is composed of two assets, which we will call" A" and "B." Let X denote the annual rate of return from asset A, and let Y denote the annual rate of return from asset B. Suppose that E(X) = 0.15, E(Y) = 0.20, SD (X) = 0.05, SD (Y) = 0.06, and CORR (X, Y) = 0.30. Use a spreadsheet to perform the following analysis. (a) What is the expected return of investing 50% of the portfolio in asset A and 50% of the portfolio in asset B? What is the variance of this return? (b) Replace CORR (X, Y) = 0.30 by CORR (X, Y) = 0.60, 0, -0.30, and -0.60 and answer the questions in part (a). What is the impact of correlation on the expected returns and its variance? Explain why this is so. (c) Suppose that the fraction of the portfolio that is invested in asset B is f, and so the fraction of the portfolio that is invested in asset A is (1 – f). Let f vary from f = 0.0 to f = 1.0 in increments of 5% (that is, f = 0.0, 0.05, 0.10, 0.15, ...), and compute the mean and the…
- Q11. n is the number of periods of an investment, PV is the starting value, FVn is the future value n periods ahead, and ^ means 'to the power of'. What is the correct formula for calculating return? Group of answer choices 1. (FVn/PV)^n - 1 2. (FVn/PV)^n 3. (PV/FVn)^n - 1 4. 1 - (FVn/PV)^n1. (Without loss of generality assume that the expected/maximal exposures mentioned here correspond to a single time point in future, T.) Bank A uses for economic capital (EC) a measure equal to: 1.4 * EPE. Bank B, instead, uses the weighted average: 70% * EPE + 30% * ME. How small (or, indeed, how big?) does the ME (maximal exposure) need to be, relative to the EPE, for Bank A to end up putting aside (for this specific EC aspect) more EC than Bank B?Ⓡ Suppose the returns on a particular asset are normally distributed. Also suppose the asset had an average return of 11.1% and a standard deviation of 23.4%. Use the NORMDIST function in Excel to determine the probability that in any given year you will lose money by investing in this asset. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.): Probability %
