An investor has accumulated 100 daily returns for his £100,000,000 portfolio. After ranking the returns from highest to lowest, the investor identifies the lowest five returns: -0.0019, -0.0025, -0.0034, -0.0096, -0.0101. Calculate daily VaR at 95% confidence level using the historical method.
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- Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 5.2 percent and the standard deviation was 10.6 percent. a. What is the probability that your return on this asset will be less than –9.7 percent in a given year? Use the NORMDIST function in Excel® to answer this question. b. What range of returns would you expect to see 95 percent of the time? c. What range of returns would you expect to see 99 percent of the time?An investor has $2,215 invested in stock A and $3,826 in stock B. The daily volatilities of A and B are 1.0% and 1.2%, respectively, and the coefficient of correlation is 0.69. What is the one day 99% VaR? Assume that returns are multivariate normal (Note that N(–2.3263) = 0.01).Show your work (use of formula, etc.) in solving the problem. Provide your answer/solution in the answer space provided below. Answer the question: Given the following historical returns, calculate the average return and the standard deviation: Year Return 1 14% 2 10% 3 15% 4 11%
- 1.) On a single chart, plot the value of $1 invested in each of the five indexes over time. I.e., for all ??, plot the cumulative return series for each index: ?????? = (1 + ?��1)(1 + ?��2)...(1 + ????) What patterns do you observe? (10 points) 2.) Plot a histogram of only the Global index returns. Does the distribution look normal? (5 points) 3.) Estimate the following for each of the indices. In calculating the statistics, “monthly” can be interpreted as “not annualized”. (30 points) a. Arithmetic average of monthly returns, and annualized arithmetic return using the APR method b. Geometric average of monthly returns, and annualized geometric return using the EAR method. Why does the geometric average differ from the arithmetic average? c. Standard deviation of monthly returns, and annualized standard deviation d. Sharpe Ratio of monthly returns, and annualized Sharpe Ratio e. Skewness of monthly returns f. Kurtosis of monthly returns g. 5% Value at Risk (VaR) of…Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 5.7 percent and the standard deviation was 18.3 percent. a. What is the probability that your return on this asset will be less than –4.1 percent in a given year? Use the NORMDIST function in Excel® to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What range of returns would you expect to see 95 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What range of returns would you expect to see 99 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations…When looking at an assets VaR (5%, normal), what are we discussing? (a) A 5% confidence interval of returns centered on the mean (b) The average 95th-100th percentile of possible returns (c) The average 0th - 5th percentile of possible returns (d) The 5th percentile of possible returns (e) The 95th percentile of possible returns
- Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 5.2 percent and the standard deviation was 10.6 percent. a. What is the probability that your return on this asset will be less than -9.7 percent in a given year? Use the NORMDIST function in Excel® to answer this question. Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What range of returns would you expect to see 95 percent of the time? Note: Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. c. What range of returns would you expect to see 99 percent of the time? Note: Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and…An investor has an investment that has produced the following returns: Year 1: 10%, Year 2: 5%, Year 3: -7%, Year 4: -3%, Year 5: 12%. Calculate the arithmetic mean return on this investment. O 6.75 O 17.00 3.40 8.50Your stock's returns for the past four years are as follows. t Return t1 19.79% t2 -0.58% t3 8.55% t4 4.68% Compute the geometric average return for this stock. Please enter your answer as a PERCENT rounded to 2 decimal places.
- es Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 5.7 percent and the standard deviation was 18.3 percent. a. What is the probability that your return on this asset will be less than -4.1 percent in a given year? Use the NORMDIST function in Excel® to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What range of returns would you expect to see 95 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What range of returns would you expect to see 99 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter…The following are the monthly rates of return for Madison Cookies and for Sophie Electric during a six-month period. Month Madison Cookies Sophie Electric 1 −0.04 0.072 0.06 −0.023 −0.07 −0.104 0.12 0.155 −0.02 −0.066 0.05 0.02 Compute the following. a. Average monthly rate of return Ri for each stockb. Standard deviation of returns for each stockc. Covariance between the rates of returnd. The correlation coefficient between the rates of returnWhat level of correlation did you expect? How did your expectations compare with the computed…Terrance invested $1,500 in a mutual fund on January 1, 2010. He has brought you all of the annual statements he has received from the fund company, and asked for your help in analyzing the results. The statement shows the following returns: 2010 8% 2013 -7% 2011 2% 2014 3% 2012 -5% 2015 22% Calculate Terrance' arithmetic mean return Question 9 options: 1.87% 2.5% 3.41% 3.83%