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- 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…d4) Assume that the MLIK100 Index at close of trading yesterday was 4,000 and the daily volatility of the index was estimated as 0.8% per day at that time. The parameters in a GJR GARCH model are ω = 0.000005, α = 0.08, = 0.04 and β = 0.92. Where is the asymmetry parameter. If the MLIK100 moves by 50 points by close of trading today, what will the new volatility estimate be, per day, if the move is an increase or a decrease?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?
- Show the monthly return of the company and S&P 500 in the same graph. What is your interruption interpretation of the change of return of the company comparing with the market index? Calculate the monthly standard deviation and return for both the company and S&P 500. What is your interruption of the risk and return of the company comparing with the market index? S&P 500 last 6 months : Date Open High Low Close* Adj. close** Volume 01 Apr 2022 4,540.32 4,593.45 4,381.34 4,392.59 4,392.59 37,024,560,000 01 Mar 2022 4,363.14 4,637.30 4,157.87 4,530.41 4,530.41 100,978,320,000 01 Feb 2022 4,519.57 4,595.31 4,114.65 4,373.94 4,373.94 73,167,790,000 01 Jan 2022 4,778.14 4,818.62 4,222.62 4,515.55 4,515.55 73,279,440,000 01 Dec 2021 4,602.82 4,808.93 4,495.12 4,766.18 4,766.18 68,699,830,000…The common stock of Manchester & Moore is expected to earn 14.8 percent in a recession, 8 percent in a normal economy, and lose 5.8 percent in a booming economy. The probability of a boom is 12 percent while the probability of a recession is 6 percent. What is the expected rate of return on this stock? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)(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 method
- (CAPM and expected returns) a. Given the following holding-period returns, LOADING... Month Zemin Corp. Market 1 8 % 5 % 2 5 4 3 0 2 4 −4 −1 5 6 4 6 3 3 , compute the average returns and the standard deviations for the Zemin Corporation and for the market. b. If Zemin's beta is 1.12 and the risk-free rate is 7 percent, what would be an expected return for an investor owning Zemin? (Note: Because the preceding returns are based on monthly data, you will need to annualize the returns to make them comparable with the risk-free rate. For simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by 12.) c. How does Zemin's historical average return compare with the return you believe you should expect based on the capital asset pricing model and the firm's systematic risk? Question content area…(Related to Checkpoint 8.3) (CAPM and expected returns) a. Given the following holding-period returns, LOADING... , compute the average returns and the standard deviations for the Sugita Corporation and for the market. b. If Sugita's beta is 1.89 and the risk-free rate is 6 percent, what would be an expected return for an investor owning Sugita? (Note: Because the preceding returns are based on monthly data, you will need to annualize the returns to make them comparable with the risk-free rate. For simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by 12.) c. How does Sugita's historical average return compare with the return you should expect based on the Capital Asset Pricing Model and the firm's systematic risk? Month Sugita Corp. Market 1 2.4 % 1.0 % 2 −0.8 2.0 3 1.0 2.0 4 −1.0 −1.0 5 6.0 7.0 6 6.0…Consider a position consisting of a $315,380 investment in Oracle Corporation (ORCL) and a $271,440 investment in NVIDIA Corporation (NVDA). Suppose that the daily volatilities of these two assets are 4.14% and 5.71% respectively and that the coefficient of correlation between their return is 0.6778. With an assumption that it follows the normally distributed returns, the 27-day 99% Value at Risk (VaR) for NVIDIA Corporation (NVDA) is closest to A. $187,355.52. B. $157,830.54. C. $124,900.63. D. $100,900.64.
- Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 6.4 percent and the standard deviation was 12.4 percent. A. 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.) B. 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 your answers as a percent rounded to 2 decimal places, e.g., 32.16.)The level of the Syldavian market index is 21,100 at the start of the year and 25,600 at the end. The dividend yield on the index is 4.3%. a. What is the return on the index over the year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. If the interest rate is 7%, what is the risk premium over the year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) c. If the inflation rate is 9%, what is the real return on the index over the year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)An asset has an average return of 11.33 percent and a standard deviation of 24.18 percent. What is the most you should expect to lose in any given year with a probability of 2.5 percent? −37.03% −61.21% −24.94% −12.85% −59.69%