Stocks may have rebounded from their recent lows, but the option market still implies a big chance that stocks plummet anew before the year is out.

After falling as low as 1,810 two weeks ago, the Index bounced significantly in the prior week, closing Friday trading at 1,918. But even as stocks somewhat regained their footing, the market's fear certainly has not dissipated.

According to options market data from multiple providers, the December quarterly options expiring at the end of the year imply a 50 percent chance that the S&P 500 will touch 1,600 at some point in 2016. That would be a drop of nearly 17 percent from current levels and a full-year decline of 22 percent.

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And it's not just that big moves are generally expected in this more-volatile market. The converse upside level — the highest point which traders think the S&P has at least a 50 percent chance of a touching in 2016 — is 2,110, or just 10 percent above Friday's close.

The dramatic amount of downside traders appear to be bracing for "tells you that this is sustainable fear, even going out six to twelve months," Brian Stutland of Equity Armor Investments said last week. "People clearly think that the downside could be real, and they want protection."