Predicting Stock Market Returns—Lose the Normal and Switch to Laplace

Everyone agrees the normal distribution isn’t a great statistical model for stock market returns, but no generally accepted alternative has emerged.  A bottom-up simulation points to the Laplace distribution as a much better choice. A well-known problem in financial risk assessment is the failure of the normal distribution (also known as the Gaussian distribution) to correctly predict big up or down days on the stock …

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A Very Simple Model for Pricing VIX Futures

Serious volatility watchers are always observing a three-ring circus. The left ring holds the general market. Center ring has options on the S&P 500 and the various CBOE VIX® style indexes and to the right are VIX futures, Volatility Exchange Traded Products like VXX, UVXY, TVIX, and XIV plus associated options. Activities in the three rings usually follow a familiar choreographed pattern. The VIX moves …

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VIX Futures Prices vs. Predictions from a “Simple” Model

It’s been said that we learn more from failures than success. Hopefully the chart below will be an illustration of that. It displays the near real-time prices of VIX futures vs. the predictions of a “simple” model I’ve created.  My intent with the model is not to achieve high accuracy (it won’t) but rather to distinguish between when VIX futures prices are truly unusual, and …

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How Does TVIX Work?

Update 20-Oct-2023 Credit Suisse announced yesterday that it will be closing a set of Exchange Traded Notes that include volatility ETNs TVIX, VIIX, and ZIV. These funds had been closed to share issuance since July-2020, signaling that Credit Suisse (CS) was exiting this business. However, rather than closing down the funds at that point by accelerating their maturity date (2030), Credit Suisse choose to let …

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How Does VXUP / VXDN’s Corrective Distribution Work?

It’s now clear that the VXUP/VXDN naysayers were right—the actual behavior of these funds is nowhere close to Accushares’ claim that “VXUP and VXDN are the first securities to offer direct “spot” exposure to the CBOE Volatility Index® (VIX).” Accushares has said nothing publicly about the poor behavior of the funds.  Their only response has been to move up the “go live” date of their Corrective …

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