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- Use the following table to calculate the expected return from the asset. Return Probability 0.1 0.25 0.2 0.5 0.25 0.25 20.00% 18.75% 17.50% 15.00%Which asset in the following table has the most market risk (also known as systematic or non- diversifiable risk)? Asset Return Beta Standard Deviation Asset A 11% 0.95 35% Asset B 13% 1.00 35% Asset C 9% 1.20 30% 1.) Asset C 2.) All three Assets 3.) Asset B 4.) Asset A and Asset B 5.) Asset AAssume that you have obtained the following information for Asset A: Rate of Return Probability 5.5% 25% 7.25% 55% 11% 20% Compute the expected rate of return for Asset A, using the information provided in thechart above Assume that the standard deviation of the expected returns for Asset A is 1.87%. With information and the expected rate of return that you calculated for Asset A in Part A of this problem, compute the co-efficient of variation for Asset A.
- Assuming the following returns and corresponding probabilities for Asset D: Rate of Return Probability 10% 30% 15% 40% 20% 30% Compute for: a. Expected rate of return b. The standard deviation c. The coefficient of variation(a) An asset has recorded the following closing prices over a period of 5 days: 100 (day 1), 105 (day 2), 103 (day 3), 110 (day 4), and 120 (day 5). Calculate: (i) the net return at the end of the 5-day period (ii) the log return at the end of the 5-day period (iii) the average log return over this 5-day period (b) Suppose the distribution for the above returns follows the normal distribution with a mean value of 5, and a standard deviation of 2. Given that the 5% quantile value is -1.645, what is the 5% 10 days value-at-risk for a portfolio of a value of £100,000? (c)Explain why bootstrapping is necessary when using the historical simulation method for value-at-risk and why it is not necessary when using the Monte Carlo simulation methodSuppose that we can describe the world using two states and that two assets are available, asset K an asset L. We assume the asset’s future prices have the following distribution State Future Price Asset K Future Price Asset L 1 $55 $60 2 $45 $30 The current price of asset K is $50, and the current price of asset L is $50. 1. What are the values of the unit claims (C1 and C2 )?
- 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…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…State ofEconomy Probabilityof State Return on AssetDin State Return on AssetEin State Return on AssetFin State Boom 0.35 0.060 0.310 0.25 Normal 0.50 0.060 0.180 0.20 Recession 0.15 0.060 -0.210 0.10 A. Calculate the expected return (mean) for each security.
- The information about asset X and Y are given as follows: Expected Standard Asset Return Deviation 10% 4% Y 15% 11% Correlation = -1 If it is possible to borrow at the risk-free rate, rf, calculate the following: Weight of Stock A: % (Round to two decimals) Weight of Stock B: % (Round to two decimals) Risk free rate: % (Round to two decimals)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…You have data on the following assets: asset Expected return Standard DeviationA 15.0% 21.0%B 15.5% 20.2%C 18.0% 25.0% Calculate the coefficient of variation for each of the assets. Which one is the best investment option?
