J L Lord One Strategy For All Markets Pdf \/\/TOP\\\\
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Our research first considered the five largest public option exchanges (CBOE, NASDAQ OMX, NYSE Euronext, AMEX and LSE) to determine how much the volatility differs over the return to the average for each exchange. To accomplish this analysis we sourced the historical time series data from the ForexVol website in consolidated form. We took the daily returns, and normalized them by the average daily returns. The time series was normalized by the standard deviation of the preceding 5 trading days in order to ensure randomness. With this data the volatility calculation was then applied to the normalized returns. We show below the differences in day-to-day volatility for each option exchange over 2000 - 2015.
In addition to the volatility differences, we also examined the historical differences in annualized returns, which follows a Gaussian distribution. The negative and positive standard deviations together would give an indication of the likely return range for the expiry month. The slope of the return curve would be equal to the volatility (beta) of the stock. We show the annual return curves for 1, 4 and 6 month options in the chart below.
We show below that the average values of those latter three parameters range in their standard deviation over the five exchanges. For ease of calculation let's suppose the preferred future volatility was 0.5. If we were to buy a strangle option and hold on for the rest of the expiry month, the profit would be the difference between the maximum and the minimum historical returns over the course of the month. The expected profit time series for one month follows a Gaussian curve. The probability that the profit will be positive is deducted from the total probability, then calculating the cumulative probability, and finally summing the cumulative probability for all years over the time series, as shown below.
All returns have a standard 10% maximum drawdown, as discussed in the 2008 paper. The maximum drawdown across all the time series was equal to 24.4%, which is below the 25% threshold. This suggests that the BWB strategy is not over leveraged, and may be quite safe. d2c66b5586