b) The following information on the performance of three funds A, B and C in Australia.AverageStandardreturndeviationFund(%)(%)BetaMarket??Risk-free rateFund A19.5010.750.873Fund B28.6514.821.251Fund C25.7012.331.005(i)Use the data provided on Canvas to calculate the average annual return ofthe market (ASX/S&P200). Find a proxy for the risk free rate in Australia andexplain your reasoning. (ii)Calculate the Coefficient of variation, Sharpe and Jensen Indices ofperformance for these funds and interpret the results.

Answered: Average Standard return deviation Fund…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Pax World Balanced is a highly respected, socially responsible mutual fund of stocks and bonds. Vanguard Balanced Index is another highly regarded fund that represents the entire U.S. stock and bond market (an index fund). The mean and standard deviation of annualized percent returns are shown below. The annualized mean and standard deviation are for a recent 10-years period.†. If x represents return and s represents risk, then explain why the coefficient of variation can be taken to represent risk per unit of return. From this point of view, which fund appears to be better? Explain. A. Since the CV is s/s2 we can say that the CV represents the risk per unit of return; the Pax fund appears to be better because the CV is smaller. B. Since the CV is s/s2 we can say that the CV represents the risk per unit of return; the Vanguard fund appears to be better because the CV is smaller. C. Since the CV is s/x we can say that the CV represents the risk per unit of return; the Pax fund…
An investor wants to invest $300,000 in a portfolio of three mutual funds. The annual fund returns are normally distributed with a mean of 2.00% and standard deviation of 0.30% for the short-term investment fund, a mean of 5.00% and standard deviation of 2.50% for the intermediate-term fund, and a mean of 6.25% and standard deviation of 5.50% for the long-term fund. An initial plan for the investment allocation is 45% in the short-term fund, 35% in the intermediate-term fund, and 20% in the long-term fund. a. Use Analysis ToolPak, with a seed of 1, to develop a Monte Carlo simulation with 100 trials to estimate the mean ending balance after the first year. Note: Round the final answer to two decimal places. Mean ending balance after the first year b. If the allocation is changed to 30% short-term, 55% intermediate-term, and 15% long-term, estimate the ending balance after the first year. Note: Round the final answer to two decimal places. Mean ending balance after the first year c.…
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Q7
Directions: Compute the total returns, the average of returns, and the standard deviation of the following stocks: 1) 2) EGRH Inc. MP, Ltd. AVERAGE OF STOCK RETURN YEA AVERAGE OF RETURNS (x) YEAR STOCK RETURN PRICE (x₁) PRICE RETU Jan-2021 Po Feb-2021 P8.6 Jan-2021 PO. Feb-2021 PO.090 Mar-2021 P0.097 Apr-2021 PO.189 May-2021 PO.164 Mar-2021 P9.14 Apr-2021 P13.30 May-2021 P13 Jun-2021 P60 Jul-2021 16.94 Jun-2021 P0.495 Jul-2021 PO.28 Aug-2021 PO Sep-2021 90 Aug-202 P13.70 Sep-2 P14.88 Oct-2021 0.375 Oct 21 P15.30 Nov-20 PO.325 N2021 P14.30 Dec-2 PO.330 ec-2021 P15.52 3) SD (8) GSM Inc. YEAR Jan-2021 P57. Feb-2021 P52.90 Mar-2021 P50.95 Apr-2021 P58.25 May-2021 P74.05 Jun-2021 P94.75 Jul-2021 P85.0 Aug-2021 P10 Sep-2021 P 00 Oct-2021 01.00 Nov-2021 100.40 Dec-202 P113.80 SD (8) = STOCK RETURN PRICE (x₁) AVERAGE OF RETURNS -x)² SD (8) = ACEE, Inc. YEAR STOCK RETURN PRICE (x₁) Jan-2021 P13.56 Feb-2021 P20.80 Mar-2021 P22.50 Apr-2021 P18.90 May-2021 P17.00 Jun-2021 P18.76 Jul-2021 P16.38…
Directions: Compute the total returns, the average of returns, and the standard deviation of the following stocks: 1) 2) EGRH Inc. DMP, Ltd. STOCK RETURN YEA AVERAGE OF RETURNS (x) YEAR STOCK RETURN PRICE AVERAGE OF RETURNS (x) PRICE (x₁) Jan-2021 P8.30 Feb-2021 P8.60 Jan-2021 PO. Feb-2021 PO.090 Mar-2021 P0.097 Apr-2021 PO.189 May-2021 PO.164 Mar-2021 P9.14 Apr-2021 P13.30 May-2021 P13.74 Jun-2021 P14.80 Jul-2021 P16.94 Jun-2021 P0.495 Jul-2021 PO.28 Aug-2021 PO Sep-2021 90 Aug-2021 P13.70 Sep-2021 P14.88 Oct-2021 0.375 Oct-2021 P15.30 Nov-20 PO.325 Nov-2021 P14.30 Dec-2 PO.330 Dec-2021 P15.52 3) SD (8) GSM Inc. STOCK YEAR PRICE Jan-2021 P57.70 Feb-2021 P52.90 Mar-2021 P50.95 Apr-2021 P58.25 May-2021 P74.05 Jun-2021 P94.75 Jul-2021 P85.00 Aug-2021 P105.00 Sep-2021 P114.00 Oct-2021 | P101.00 Nov-2021 P100.40 Dec-2021 P113.80 SD (8) = RETURN (x₁) -x)² AVERAGE OF RETURNS (x-x)² (x) SD (8) = ACEE, Inc. YEAR STOCK RETURN PRICE (x₁) Jan-2021 P13.56 Feb-2021 P20.80 Mar-2021 P22.50 Apr-2021…
5. The changes in the values of two investment portfolios are modelled as Normal distributions. From day to day, the first investment portfolio changes in value with mean 2.6% and standard deviation 1.8%. From day to day, the second investment portfolio changes in value with mean 2.2% and standard deviation 2.5%. An investor is hoping for growth of at least 4%. Which portfolio is most likely to give growth of 4%?
5. When the Pearson Product Moment Correlation is equal to -0.68, there is a ______ linear trend.

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