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1. The Excel file contains daily closes for the S&P/TSX composite index from January 2, 2008 to December 31, 2010. Assuming that December 31, 2010 is the current day. A) Using the Exponentially Weighted Moving Average (EWMA) method to forecast tomorrow's volatility (standard deviation). Do it for two cases: λ=0.95 and λ=0.995. Compare the forecast with the sample volatility. Discuss. (Assuming 252 days in a year.) Hint: the forecast and the weights are
B) Using the maximum likelihood method (as we did in class) to estimate GARCH(1, 1) model. In other words, estimate ω, α and β. Report the maximum likelihood value. Also calculate the log-run volatility (both daily and annualized). C) Repeat B) using the variance targeting method. Here please set the annual target variance at such a level so that the annual volatility is 16.5%. (Note: the usual method based on the sample variance won't converge since the recent variance in the sample is too low.) D) Using the parameter estimates from B), forecast the future daily variance for the next 200 days. Report forecasts only for the first 20 days and days 50, 100, 150 and 200. E) Calculate the average daily variance for the next 200 days using the parameter estimates from B). Report the average variance only for the first 20 days and days 50, 100, 150 and 200. Plot the daily forecast and the average in one chart for the entire 200 days. Discuss. Note: for accuracy, when doing parts B), C), D) and E), please copy cell and paste values for the GARCH parameters. In other words, keep all the decimal places for the parameters.
Q. What do you mean by Waveforms? We are often interested in waveforms, which may not be constant in time of particular interest is a periodic waveform, which is a time-varying
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dear sir, when i am going to simulate my model in matlab i am getting the following error : the derived input for the integrator is inf or nan at time xxxxx. try to reduce the step
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a) Define the surface of revolution? b) What do you mean by ruled surface?
Q. Do as directed. a) Hexadecimal addition: 101 + ABC b) (43.25) 10-(89.75) 10 using 1's Complement c) Octal Subtraction 123-777 d) (123)6 + (435)6 = ( ? )6 e) ABC
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