N1569 Workshop 4
Use the S&P 500 data in the Excel Workbook for Topic 4.
1. Calculate the 90-day historical volatility and the EWMA volatility with a smooth- ing constant of 0.95, and plot them both on the same graph. Comment on your results.
2. Calculate the α% h-day VaR for the S&P 500 for α% = 0.1%, 1%, 5% and 10% and for h = 1 and 10 days. In each case, compare and contrast the results you obtain using the normal, historical and Monte Carlo VaR models.
3. Calculate the rolling 1% 10-day historical VaR based on 50 returns and make a time series graph to compare this with the normal VaR based on the same returns
4. Find the normal, historical and Monte Carlo VaR based on S&P prices between 31 Dec 2022 and 31 Dec 2023. How do the results change with the holding period and significance level chosen?
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